Files
fzzinchemical 02b00ee108 update
2026-01-22 22:01:07 +01:00

2406 lines
914 KiB
HTML
Raw Permalink Blame History

This file contains invisible Unicode characters
This file contains invisible Unicode characters that are indistinguishable to humans but may be processed differently by a computer. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.
This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.
<!DOCTYPE html> <html class="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available vector-animations-ready ve-available" lang=en dir=ltr style><!--
Page saved with SingleFile
url: https://en.wikipedia.org/wiki/BERT_(language_model)
saved date: Fri Jan 09 2026 10:21:03 GMT+0100 (Central European Standard Time)
--><meta charset=utf-8>
<title>BERT (language model) - Wikipedia</title>
<style>:root{--sf-img-0: url("data:image/svg+xml;base64,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");--sf-img-1: url("data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyMCIgaGVpZ2h0PSIyMCIgdmlld0JveD0iMCAwIDIwIDIwIj48dGl0bGU+CgkJbWVudQoJPC90aXRsZT48ZyBmaWxsPSIjMDAwIj48cGF0aCBkPSJNMSAzdjJoMThWM3ptMCA4aDE4VjlIMXptMCA2aDE4di0ySDF6Ii8+PC9nPjwvc3ZnPgo=");--sf-img-2: url("data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNSIgaGVpZ2h0PSIxMSIgdmlld0JveD0iMCAwIDExIDE1Ij4KCTxnIGlkPSJtYWduaWZ5LWNsaXAiIGZpbGw9IiNmZmYiIHN0cm9rZT0iIzAwMCI+CgkJPHBhdGggaWQ9ImJpZ2JveCIgZD0iTTEuNTA5IDEuODY1aDEwLjk5djcuOTE5SDEuNTA5eiIvPgoJCTxwYXRoIGlkPSJzbWFsbGJveCIgZD0iTS0xLjQ5OSA2Ljg2OGg1Ljk0M3Y0LjkwNGgtNS45NDN6Ii8+Cgk8L2c+Cjwvc3ZnPgo=");--sf-img-30: url("data:image/png;base64,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")}</style><style>.mw-cite-backlink,.cite-accessibility-label{-webkit-user-select:none;-moz-user-select:none;user-select:none}.mw-references-columns{margin-top:0.3em}.mw-parser-output .mw-references-columns .references{margin-top:0}.mw-references-columns li{page-break-inside:avoid;break-inside:avoid-column}ol.references{counter-reset:mw-ref-details-parent mw-references list-item}ol.references>li{counter-increment:mw-ref-details-parent mw-references;counter-reset:mw-ref-details-child}ol.references .mw-subreference-list>li::marker{content:counter(mw-ref-details-parent,decimal)"."counter(mw-ref-details-child,decimal)". "}sup.reference{unicode-bidi:isolate;white-space:nowrap;font-weight:normal;font-style:normal}ol.references li:target,sup.reference:target{background-color:var(--background-color-progressive-subtle,#e8eeff)}.mw-references-columns{-moz-column-width:27em;column-width:27em}@namespace m url(http://www.w3.org/1998/Math/MathML);.mwe-math-mathml-inline{display:inline!important}.mwe-math-mathml-a11y{clip:rect(1px,1px,1px,1px);overflow:hidden;position:absolute;width:1px;height:1px;opacity:0}.mwe-math-fallback-image-inline{display:inline-block}#p-lang .uls-settings-trigger::-moz-focus-inner{border:0}#p-lang .uls-settings-trigger:focus{outline:1px solid #36c}#p-lang .uls-settings-trigger:hover{background-position:center -16px}.client-js .mw-editsection-bracket:first-of-type{margin-right:0.25em;margin-inline:0 0.25em}.client-js .mw-editsection-bracket:not(:first-of-type){margin-left:0.25em;margin-inline:0.25em 0}.client-js body.skin-minerva .mw-parser-output .ambox a:hover,.client-js body.skin-minerva .mw-parser-output .ambox a:focus{text-decoration:none;outline:inherit}.client-js body.skin-minerva .mw-parser-output .ambox .ambox-learn-more::before{content:"";position:absolute;z-index:-100;bottom:0;right:0;width:100%;height:100%;box-sizing:content-box;padding-left:4em;background:linear-gradient(to right,transparent 0,var(--background-color-interactive-subtle,#f8f9fa) 3em)}@media screen and (min-width:640px){.client-js body.skin-minerva .mw-parser-output .ambox .ambox-learn-more::before{top:-1.65em;width:10px}}.client-js ol.mw-collapsible::before,.client-js ul.mw-collapsible::before{display:list-item;list-style:none;margin-bottom:0.1em}.client-js ol.mw-made-collapsible::before,.client-js ul.mw-made-collapsible::before{display:none}.client-js .mw-collapsible:not(.mw-made-collapsible) .mw-collapsible-toggle-placeholder:before,.client-js ol.mw-collapsible:not(.mw-made-collapsible):before,.client-js ul.mw-collapsible:not(.mw-made-collapsible):before,.client-js table.mw-collapsible:not(.mw-made-collapsible) :first-child tr:first-child th:last-child:before,.client-js table.mw-collapsible:not(.mw-made-collapsible)>caption:first-child:after,.client-js div.mw-collapsible:not(.mw-made-collapsible):before{content:"[hide]"}.client-js .mw-collapsed:not(.mw-made-collapsible) .mw-collapsible-toggle-placeholder:before,.client-js td.mw-collapsed:not(.mw-made-collapsible):before,.client-js table.mw-collapsed:not(.mw-made-collapsible) :first-child tr:first-child th:last-child:before,.client-js table.mw-collapsed:not(.mw-made-collapsible)>caption:first-child:after,.client-js div.mw-collapsed:not(.mw-made-collapsible):before{content:"[show]"}.client-js .mw-collapsible[id^="mw-customcollapsible"] th::before,.client-js .mw-collapsible[id^="mw-customcollapsible"]::before{content:none!important}.client-js .mw-collapsible:not(.mw-made-collapsible):has(.mw-collapsible-toggle,.mw-collapsible-toggle-placeholder) th::before,.client-js .mw-collapsible:not(.mw-made-collapsible):has(.mw-collapsible-toggle,.mw-collapsible-toggle-placeholder)::before{content:none!important}.client-js table.mw-collapsible:not(.mw-made-collapsible)>caption:first-child:after{float:none;display:block}.mw-content-ltr .mw-collapsible:not(.mw-made-collapsible) th:before,.mw-content-rtl .mw-content-ltr .mw-collapsible:not(.mw-made-collapsible) th:before,.mw-content-ltr .mw-collapsible:not(.mw-made-collapsible):before,.mw-content-rtl .mw-content-ltr .mw-collapsible:not(.mw-made-collapsible):before,.mw-content-ltr .mw-collapsible-toggle{float:right}.mw-content-rtl .mw-collapsible:not(.mw-made-collapsible) th:before,.mw-content-ltr .mw-content-rtl .mw-collapsible:not(.mw-made-collapsible) th:before,.mw-content-rtl .mw-collapsible:not(.mw-made-collapsible):before,.mw-content-ltr .mw-content-rtl .mw-collapsible:not(.mw-made-collapsible):before{float:left}ol.mw-collapsible:not(.mw-made-collapsible):before,ul.mw-collapsible:not(.mw-made-collapsible):before{float:none!important}ul.gallery.gallery.gallery{margin:2px;padding:2px}li.gallerybox{vertical-align:top;display:inline-block}li.gallerybox div.thumb{text-align:center;margin:2px}li.gallerybox div.thumb img{display:block;margin:0 auto}div.gallerytext{overflow:hidden;font-size:94%;padding:9px 4px 17px;word-wrap:break-word}ul.mw-gallery-packed-hover li.gallerybox:hover div.gallerytextwrapper{position:absolute;background:var(--background-color-backdrop-light,rgba(255,255,255,0.65));padding:5px 10px;bottom:0;left:0;height:auto;max-height:40%;overflow:hidden;font-weight:bold;margin:2px}ul.mw-gallery-packed-hover li.gallerybox:hover div.gallerytextwrapper p{text-overflow:ellipsis;white-space:nowrap;overflow:hidden}ul.mw-gallery-packed-hover li.gallerybox:hover div.gallerytextwrapper:hover,ul.mw-gallery-packed-overlay li.gallerybox div.gallerytextwrapper:hover,ul.mw-gallery-packed-hover li.gallerybox.mw-gallery-focused div.gallerytextwrapper:hover{overflow:visible;max-height:none}ul.mw-gallery-packed-hover li.gallerybox:hover div.gallerytextwrapper:hover p,ul.mw-gallery-packed-overlay li.gallerybox div.gallerytextwrapper:hover p,ul.mw-gallery-packed-hover li.gallerybox.mw-gallery-focused div.gallerytextwrapper:hover p{text-overflow:clip;white-space:normal;overflow:visible}@media screen{li.gallerybox div.thumb{background-color:var(--background-color-neutral-subtle,#f8f9fa);border:1px solid var(--border-color-subtle,#c8ccd1)}}.mw-gallery-traditional .gallerybox>.thumb::before{content:"";vertical-align:middle;display:inline-block;height:100%}.mw-gallery-traditional .gallerybox>.thumb>*{vertical-align:middle;display:inline-block}.vector-icon.mw-ui-icon-wikimedia-language-progressive{-webkit-mask-image:var(--sf-img-0);mask-image:var(--sf-img-0)}.vector-icon.mw-ui-icon-wikimedia-menu{-webkit-mask-image:var(--sf-img-1);mask-image:var(--sf-img-1)}@media (prefers-reduced-motion:reduce){*,::before,::after{animation-delay:-0.01ms!important;animation-duration:0.01ms!important;animation-iteration-count:1!important;scroll-behavior:auto!important;transition-duration:0ms!important}}body{margin:0}@supports (text-decoration:underline dotted){abbr[title]{border-bottom:0;text-decoration:underline dotted}}code{font-family:monospace,monospace}sub,sup{line-height:1}button,input{margin:0}button::-moz-focus-inner,[type="button"]::-moz-focus-inner,[type="reset"]::-moz-focus-inner,[type="submit"]::-moz-focus-inner{border-style:none;padding:0}div.thumb{background-color:transparent;margin-bottom:0.5em}figure[typeof~="mw:File/Thumb"]{display:table;text-align:center;border-collapse:collapse;line-height:0}.mw-body-content figure[typeof~="mw:File/Thumb"]>a{border:0}.mw-content-ltr figure[typeof~="mw:File/Thumb"]{margin:0.5em 0 1.3em 1.4em;clear:right;float:right}figure[typeof~="mw:File/Thumb"]>:not(figcaption) .mw-file-element{margin:3px}figure[typeof~="mw:File/Thumb"]>figcaption{display:table-caption;caption-side:bottom;background-color:inherit;line-height:1.4em;word-break:break-word;text-align:start;padding:0 6px 6px 6px}@media all and (max-width:calc(640px - 1px)){body.skin--responsive figure{margin:0 auto!important;float:none!important}}@media screen{figure[typeof~="mw:File/Thumb"]{border:1px solid var(--border-color-subtle,#c8ccd1);border-bottom:0;background-color:var(--background-color-interactive-subtle,#f8f9fa);color:var(--color-base,#202122)}figure[typeof~="mw:File/Thumb"]>:not(figcaption) .mw-file-element{border:1px solid var(--border-color-subtle,#c8ccd1)}figure[typeof~="mw:File/Thumb"]>:not(figcaption) .mw-file-element:not(.mw-broken-media){background-color:var(--background-color-base-fixed,#fff);color:var(--color-base-fixed,#202122)}figure[typeof~="mw:File/Thumb"]>figcaption{border:1px solid var(--border-color-subtle,#c8ccd1);border-top:0;font-size:88.40000000000001%}figure[typeof~="mw:File/Thumb"]>figcaption::before{content:"";width:15px;height:11px;margin:0;margin-left:3px;margin-right:0;-webkit-margin-start:3px;-webkit-margin-end:0;margin-inline-start:3px;margin-inline-end:0;float:right}.mw-content-ltr figure[typeof~="mw:File/Thumb"]>figcaption::before{float:right}.mw-content-rtl figure[typeof~="mw:File/Thumb"]>figcaption::before{float:left}@media all and (max-width:calc(640px - 1px)){body.skin--responsive figure[typeof~="mw:File/Thumb"]>figcaption::before{content:none}}figure[typeof~="mw:File/Thumb"]>.mw-file-description{display:block;position:relative}figure[typeof~="mw:File/Thumb"]>.mw-file-description::after,figure[typeof~="mw:File/Thumb"]>.mw-file-magnify::after{content:"";width:15px;height:11px;position:absolute;bottom:-11px;right:6px;background-image:var(--sf-img-2)}.skin-theme-clientpref-night figure[typeof~="mw:File/Thumb"]>.mw-file-description::after,.skin-theme-clientpref-night figure[typeof~="mw:File/Thumb"]>.mw-file-magnify::after{filter:invert(1)}@media (prefers-color-scheme:dark){.skin-theme-clientpref-os figure[typeof~="mw:File/Thumb"]>.mw-file-description::after,.skin-theme-clientpref-os figure[typeof~="mw:File/Thumb"]>.mw-file-magnify::after{filter:invert(1)}}.mw-content-ltr figure[typeof~="mw:File/Thumb"]>.mw-file-description::after,.mw-content-ltr figure[typeof~="mw:File/Thumb"]>.mw-file-magnify::after{right:6px;left:auto;background-image:var(--sf-img-2)}.mw-content-rtl figure[typeof~="mw:File/Thumb"]>.mw-file-description::after,.mw-content-rtl figure[typeof~="mw:File/Thumb"]>.mw-file-magnify::after{right:auto;left:6px;background-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNSIgaGVpZ2h0PSIxMSIgdmlld0JveD0iMCAwIDExIDE1Ij4KCTxnIGlkPSJtYWduaWZ5LWNsaXAiIGZpbGw9IiNmZmYiIHN0cm9rZT0iIzAwMCI+CgkJPHBhdGggaWQ9ImJpZ2JveCIgZD0iTTkuNDkxIDEuODY1aC0xMC45OXY3LjkxOWgxMC45OXoiLz4KCQk8cGF0aCBpZD0ic21hbGxib3giIGQ9Ik0xMi40OTkgNi44NjhINi41NTZ2NC45MDRoNS45NDN6Ii8+Cgk8L2c+Cjwvc3ZnPgo=)}@media all and (max-width:calc(640px - 1px)){figure[typeof~="mw:File/Thumb"]>.mw-file-description::after,figure[typeof~="mw:File/Thumb"]>.mw-file-magnify::after{background-image:none!important}}body.skin--responsive .mw-parser-output figure img.mw-file-element{height:auto}body.skin--responsive .mw-parser-output figure[typeof~="mw:File/Thumb"] img.mw-file-element{max-width:calc(100% - (2*3px) - (2*1px))}.mw-body-content::after{clear:both;content:"";display:block}@media all and (max-width:calc(640px - 1px)){.mw-parser-output table{display:block;overflow:auto;max-width:100%;width:fit-content}}.wikitable{background-color:var(--background-color-neutral-subtle,#f8f9fa);color:var(--color-base,#202122);margin:1em 0;border:1px solid var(--border-color-base,#a2a9b1);border-collapse:collapse}.wikitable>*>tr>th,.wikitable>*>tr>td{border:1px solid var(--border-color-base,#a2a9b1);padding:0.2em 0.4em}.wikitable>*>tr>th{background-color:var(--background-color-neutral,#eaecf0);color:var(--color-base,#202122);text-align:center}.wikitable>caption{font-weight:bold}@media all and (max-width:calc(640px - 1px)){body.skin--responsive .wikitable{float:none;margin-left:0;margin-right:0}}#catlinks{text-align:left}.catlinks{background-color:var(--background-color-neutral-subtle,#f8f9fa);margin-top:1em;border:1px solid var(--border-color-base,#a2a9b1);padding:5px;clear:both}.catlinks ul{display:inline;margin:0;padding:0;list-style:none}.catlinks li{display:inline-block;line-height:1.25em;margin:0.125em 0;border-left:1px solid var(--border-color-base,#a2a9b1);padding:0 0.5em}.catlinks li:first-child{border-left:0;padding-left:0.25em}.mw-hidden-cats-hidden{display:none}.emptyPortlet{display:none}.printfooter{display:none}.mw-editsection{-webkit-user-select:none;-moz-user-select:none;user-select:none}.mw-editsection{font-size:small;font-weight:normal;margin-left:1em;margin-right:0;-webkit-margin-start:1em;-webkit-margin-end:0;margin-inline-start:1em;margin-inline-end:0;vertical-align:baseline;line-height:0;unicode-bidi:isolate}.mw-editsection a{white-space:nowrap}.mw-editsection::before,.mw-editsection-like::before{content:""}.mw-editsection-bracket{color:var(--color-subtle,#54595d)}a{text-decoration:none;color:var(--color-progressive,#36c);background:none}a:not([href]){cursor:pointer}a:visited{color:var(--color-visited,#6a60b0)}a:active{color:var(--color-progressive--active,#233566)}a:hover,a:focus{text-decoration:underline}img{border:0;vertical-align:middle}.mw-heading,h1,h2,h3,h4{color:var(--color-emphasized,#101418);margin:0;padding-top:0.5em;padding-bottom:0.17em;display:flow-root;word-break:break-word}h1,.mw-heading2,h2{margin-bottom:0.6em;border-bottom:1px solid var(--border-color-base,#a2a9b1)}.mw-heading3,h3,.mw-heading4,h4{margin-bottom:0.3em}h1{font-weight:normal}.mw-heading2,h2{font-weight:normal}.mw-heading h2,.mw-heading h3,.mw-heading h4{display:inline;border:0;padding:0;color:inherit;font:inherit}p img{margin:0}ul{margin-top:0.3em;margin-bottom:0;margin-left:1.6em;margin-right:0;-webkit-margin-start:1.6em;-webkit-margin-end:0;margin-inline-start:1.6em;margin-inline-end:0;padding:0}ol{margin-top:0.3em;margin-bottom:0;margin-left:3.2em;margin-right:0;-webkit-margin-start:3.2em;-webkit-margin-end:0;margin-inline-start:3.2em;margin-inline-end:0;padding:0;list-style-image:none}li{margin-bottom:0.1em}code{font-family:monospace,monospace}code{background-color:var(--background-color-neutral-subtle,#f8f9fa);color:var(--color-emphasized,#101418);border:1px solid var(--border-color-muted,#dadde3)}code{border-radius:2px;padding:1px 4px}table{font-size:100%}form{border:0;margin:0}@counter-style meetei{system:numeric;symbols:"꯰""꯱""꯲""꯳""꯴""꯵""꯶""꯷""꯸""꯹";suffix:") "}@counter-style santali{system:numeric;symbols:"᱐""᱑""᱒""᱓""᱔""᱕""᱖""᱗""᱘""᱙"}@counter-style myanmar_with_period{system:numeric;symbols:"""၁""၂""၃""၄""၅""၆""၇""၈""၉";suffix:"။ "}}@media screen{:root,.skin-invert{--color-base:#202122;--color-base-fixed:#202122;--color-base--hover:#404244;--color-emphasized:#101418;--color-subtle:#54595d;--color-placeholder:#72777d;--color-disabled:#a2a9b1;--color-disabled-emphasized:#a2a9b1;--color-inverted:#fff;--color-inverted-fixed:#fff;--color-progressive:#36c;--color-progressive--hover:#3056a9;--color-progressive--active:#233566;--color-progressive--focus:#36c;--color-destructive:#bf3c2c;--color-destructive--hover:#9f3526;--color-destructive--active:#612419;--color-destructive--focus:#36c;--color-visited:#6a60b0;--color-visited--hover:#534fa3;--color-visited--active:#353262;--color-destructive--visited:#9f5555;--color-destructive--visited--hover:#854848;--color-destructive--visited--active:#512e2e;--color-error:#bf3c2c;--color-error--hover:#9f3526;--color-error--active:#612419;--color-warning:#886425;--color-success:#177860;--color-notice:#404244;--color-icon-error:#f54739;--color-icon-warning:#ab7f2a;--color-icon-success:#099979;--color-icon-notice:#72777d;--color-content-added:#006400;--color-content-removed:#8b0000;--filter-invert-icon:0;--filter-invert-primary-button-icon:1;--box-shadow-color-base:#a2a9b1;--box-shadow-color-progressive--active:#233566;--box-shadow-color-progressive--focus:#36c;--box-shadow-color-progressive-selected:#36c;--box-shadow-color-progressive-selected--hover:#3056a9;--box-shadow-color-progressive-selected--active:#233566;--box-shadow-color-destructive--focus:#36c;--box-shadow-color-inverted:#fff;--box-shadow-color-alpha-base:rgba(0,0,0,0.06);--box-shadow-color-transparent:transparent;--mix-blend-mode-base:normal;--mix-blend-mode-blend:multiply;--background-color-base:#fff;--background-color-base-fixed:#fff;--background-color-neutral:#eaecf0;--background-color-neutral-subtle:#f8f9fa;--background-color-interactive:#eaecf0;--background-color-interactive--hover:#dadde3;--background-color-interactive--active:#c8ccd1;--background-color-interactive-subtle:#f8f9fa;--background-color-interactive-subtle--hover:#eaecf0;--background-color-interactive-subtle--active:#dadde3;--background-color-disabled:#dadde3;--background-color-disabled-subtle:#eaecf0;--background-color-inverted:#101418;--background-color-progressive:#36c;--background-color-progressive--hover:#3056a9;--background-color-progressive--active:#233566;--background-color-progressive--focus:#36c;--background-color-progressive-subtle:#e8eeff;--background-color-progressive-subtle--hover:#d9e2ff;--background-color-progressive-subtle--active:#b6d4fb;--background-color-destructive:#bf3c2c;--background-color-destructive--hover:#9f3526;--background-color-destructive--active:#612419;--background-color-destructive--focus:#36c;--background-color-destructive-subtle:#ffe9e5;--background-color-destructive-subtle--hover:#ffdad3;--background-color-destructive-subtle--active:#ffc8bd;--background-color-error:#f54739;--background-color-error--hover:#d74032;--background-color-error--active:#bf3c2c;--background-color-error-subtle:#ffe9e5;--background-color-error-subtle--hover:#ffdad3;--background-color-error-subtle--active:#ffc8bd;--background-color-warning-subtle:#fdf2d5;--background-color-success-subtle:#dff2eb;--background-color-notice-subtle:#eaecf0;--background-color-content-added:#a3d3ff;--background-color-content-removed:#ffe49c;--background-color-transparent:transparent;--background-color-backdrop-light:rgba(255,255,255,0.65);--background-color-backdrop-dark:rgba(0,0,0,0.65);--background-color-button-quiet--hover:rgba(0,24,73,0.027);--background-color-button-quiet--active:rgba(0,24,73,0.082);--background-color-input-binary--checked:#36c;--background-color-tab-list-item-framed--hover:rgba(255,255,255,0.3);--background-color-tab-list-item-framed--active:rgba(255,255,255,0.65);--opacity-icon-base:0.87;--opacity-icon-base--hover:0.74;--opacity-icon-base--selected:1;--opacity-icon-base--disabled:0.51;--opacity-icon-placeholder:0.51;--opacity-icon-subtle:0.67;--border-color-base:#a2a9b1;--border-color-emphasized:#202122;--border-color-subtle:#c8ccd1;--border-color-muted:#dadde3;--border-color-interactive:#72777d;--border-color-interactive--hover:#27292d;--border-color-interactive--active:#202122;--border-color-disabled:#c8ccd1;--border-color-inverted:#fff;--border-color-inverted-fixed:#fff;--border-color-progressive:#6485d1;--border-color-progressive--hover:#3056a9;--border-color-progressive--active:#233566;--border-color-progressive--focus:#36c;--border-color-destructive:#f54739;--border-color-destructive--hover:#9f3526;--border-color-destructive--active:#612419;--border-color-destructive--focus:#36c;--border-color-error:#f54739;--border-color-error--hover:#9f3526;--border-color-error--active:#612419;--border-color-warning:#ab7f2a;--border-color-warning--hover:#735421;--border-color-warning--active:#453217;--border-color-success:#099979;--border-color-notice:#72777d;--border-color-content-added:#a3d3ff;--border-color-content-removed:#ffe49c;--border-color-transparent:transparent;--border-color-divider:#a2a9b1;--outline-color-progressive--focus:#36c;--color-link:var(--color-progressive);--color-link--hover:var(--color-progressive--hover);--color-link--active:var(--color-progressive--active);--color-link--focus:var(--color-progressive--focus);--color-link--visited:var(--color-visited);--color-link--visited--hover:var(--color-visited--hover);--color-link--visited--active:var(--color-visited--active);--color-link-red:var(--color-destructive);--color-link-red--hover:var(--color-destructive--hover);--color-link-red--active:var(--color-destructive--active);--color-link-red--focus:var(--color-destructive--focus);--color-link-red--visited:var(--color-destructive--visited);--color-link-red--visited--hover:var(--color-destructive--visited--hover);--color-link-red--visited--active:var(--color-destructive--visited--active);--accent-color-base:#36c;--border-color-input--hover:var(--border-color-interactive);--border-color-input-binary:var(--border-color-interactive);--border-color-input-binary--hover:var(--border-color-progressive--hover);--border-color-input-binary--active:var(--border-color-progressive--active);--border-color-input-binary--focus:var(--border-color-progressive--focus);--border-color-input-binary--checked:var(--border-color-progressive);--color-base--subtle:#54595d}.vector-feature-custom-font-size-clientpref--excluded,.no-font-mode-scale{--font-size-medium:var(--font-size-small,0.875rem);--line-height-medium:1.5714285;--line-height-content:1.5714285}html.vector-feature-custom-font-size-clientpref-1,.vector-icon{--font-size-medium:var(--font-size-medium,1rem);--line-height-medium:1.6;--line-height-content:1.625}}@media screen{body{background-color:var(--background-color-neutral-subtle,#f8f9fa);color:var(--color-base,#202122)}.mw-body{direction:ltr}.mw-body .firstHeading{word-wrap:break-word;margin-bottom:0}.mw-header{position:relative;z-index:3}#mw-content-text{margin-top:16px}.mw-indicators{z-index:1}.mw-heading h2,.mw-heading h3,.mw-heading h4{scroll-margin-top:75px}.vector-page-titlebar{box-shadow:none}.vector-page-titlebar::after{clear:both;content:"";display:block}.vector-page-titlebar::after{content:"";display:block;position:absolute;bottom:0;left:0;right:0;height:1px;background-color:var(--border-color-base,#a2a9b1)}.vector-page-titlebar-blank::after{content:none}.vector-body-before-content{overflow:hidden}.vector-body-before-content .mw-indicators{margin-top:8px}.mw-body .mw-portlet-lang{float:right}.vector-body{position:relative;z-index:0}#siteSub{margin-top:8px}#contentSub:not(:empty){font-size:var(--font-size-small,0.875rem);color:var(--color-subtle,#54595d);width:auto;margin:8px 0 0}.mw-page-container{max-width:99.75rem;box-sizing:border-box;position:relative;z-index:0;margin:0 auto;padding-top:0.05px;padding-left:1.5rem;padding-right:1.5rem;background-color:var(--background-color-base,#fff)}.vector-header-container{width:100%;display:flex;justify-content:center}.vector-header-container .mw-header{width:100%;min-height:3.125rem;background-color:var(--background-color-base,#fff);min-width:18.75em;max-width:99.75rem;padding-left:1.5rem;padding-right:1.5rem;box-sizing:border-box}.skin--responsive .mw-page-container{min-width:auto}html{touch-action:manipulation}.vector-column-start{margin-left:-12px}.vector-column-start .vector-main-menu-container{margin-left:12px}html,body{height:100%}:focus{outline-color:var(--outline-color-progressive--focus,#36c)}html{font-size:100%}html,body{font-family:sans-serif}ul{list-style-type:disc}.mw-jump-link:not(:focus){display:block;position:absolute!important;clip:rect(1px,1px,1px,1px);width:1px;height:1px;margin:-1px;border:0;padding:0;overflow:hidden;-webkit-user-select:none;-moz-user-select:none;user-select:none}.mw-editsection{font-family:sans-serif}.mw-body h1,.mw-body-content h2,.mw-body-content .mw-heading2{font-family:"Linux Libertine","Georgia","Times","Source Serif 4",serif;line-height:1.375}.mw-body h1{font-size:1.8em}.mw-body .mw-heading2,.mw-body h2{font-size:1.5em}.mw-body .mw-heading3,.mw-body h3,.mw-body .mw-heading4,.mw-body h4{padding-bottom:0;line-height:1.6}.mw-body .mw-heading2,.mw-body h2,.mw-body .mw-heading3,.mw-body h3,.mw-body .mw-heading4,.mw-body h4{margin:0.25em 0 0.25em 0}.mw-body .mw-heading3,.mw-body h3{font-size:1.2em}.mw-body .mw-heading3,.mw-body h3,.mw-body .mw-heading4,.mw-body h4{font-weight:bold}.mw-body .mw-heading4,.mw-body h4{font-size:100%}.mw-body .mw-heading2 h2,.mw-body .mw-heading3 h3,.mw-body .mw-heading4 h4{margin-top:0;font-size:inherit}.mw-body p{margin:0.5em 0 1em 0}.mw-body p+ul,.mw-body p+table{margin-top:-0.5em}#siteSub{font-size:var(--font-size-small,0.875rem)}.vector-body{font-size:var(--font-size-medium);line-height:var(--line-height-content)}a:where(:not([role="button"])){color:var(--color-progressive,#36c);border-radius:2px;text-decoration:none}a:where(:not([role="button"])):visited{color:var(--color-visited,#6a60b0)}a:where(:not([role="button"])):visited:hover{color:var(--color-visited--hover,#534fa3)}a:where(:not([role="button"])):visited:active{color:var(--color-visited--active,#353262)}a:where(:not([role="button"])):hover{color:var(--color-progressive--hover,#3056a9);text-decoration:underline}a:where(:not([role="button"])):active{color:var(--color-progressive--active,#233566);text-decoration:underline}a:where(:not([role="button"])):focus-visible{outline:solid 2px var(--outline-color-progressive--focus,#36c)}@supports not selector(:focus-visible){a:where(:not([role="button"])):focus{outline:solid 2px var(--outline-color-progressive--focus,#36c)}}a:where(.new:not([role="button"])):visited{color:var(--color-destructive--visited,#9f5555)}a:where(.new:not([role="button"])):visited:hover{color:var(--color-destructive--visited--hover,#854848)}a:where(.new:not([role="button"])):visited:active{color:var(--color-destructive--visited--active,#512e2e)}a:where(.new:not([role="button"])):hover{color:var(--color-destructive--hover,#9f3526);text-decoration:underline}a:where(.new:not([role="button"])):active{color:var(--color-destructive--active,#612419);text-decoration:underline}a:where(.new:not([role="button"])):focus{outline-color:var(--outline-color-progressive--focus,#36c)}.mw-parser-output a{word-wrap:break-word}.mw-parser-output a.external{background-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxMiIgaGVpZ2h0PSIxMiIgdmlld0JveD0iMCAwIDEyIDEyIj4KCTx0aXRsZT4KCQlleHRlcm5hbCBsaW5rCgk8L3RpdGxlPgoJPHBhdGggZmlsbD0iIzM2YyIgZD0iTTYgMWg1djVMOC44NiAzLjg1IDQuNyA4IDQgNy4zbDQuMTUtNC4xNnpNMiAzaDJ2MUgydjZoNlY4aDF2MmExIDEgMCAwIDEtMSAxSDJhMSAxIDAgMCAxLTEtMVY0YTEgMSAwIDAgMSAxLTEiLz4KPC9zdmc+Cg==);background-position:center right;background-repeat:no-repeat;background-size:0.857em;padding-right:1em}a.mw-selflink{color:inherit;font-weight:bold;text-decoration:inherit}a.mw-selflink:hover{cursor:inherit}.vector-dropdown{position:relative}.vector-dropdown .vector-dropdown-label:not(.cdx-button--icon-only){display:inline-flex;align-items:center}.vector-dropdown .vector-dropdown-label:not(.cdx-button--icon-only)::after{content:"";min-width:10px;min-height:10px;width:calc(var(--font-size-medium,1rem) - 4px);height:calc(var(--font-size-medium,1rem) - 4px);display:inline-block;vertical-align:text-bottom;width:0.75rem;height:0.75rem;margin-left:7px}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.vector-dropdown .vector-dropdown-label:not(.cdx-button--icon-only)::after{background-position:center;background-repeat:no-repeat;background-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.vector-dropdown .vector-dropdown-label:not(.cdx-button--icon-only)::after{-webkit-mask-position:center;mask-position:center;-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px));mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.vector-dropdown .vector-dropdown-label:not(.cdx-button--icon-only)::after{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,0.87)}}@supports (-webkit-mask-image:none) or (mask-image:none){.vector-dropdown .vector-dropdown-label:not(.cdx-button--icon-only)::after{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);background-color:var(--color-base,#202122)}}.vector-dropdown .vector-dropdown-label-text{font-size:var(--font-size-small,0.875rem)}.vector-dropdown .vector-dropdown-checkbox{cursor:pointer;position:absolute;top:0;left:0;z-index:1;opacity:0;width:100%;height:100%;margin:0;padding:0}.vector-dropdown .vector-dropdown-content{position:absolute;top:100%;left:-1px;opacity:0;height:0;visibility:hidden;overflow:hidden auto;z-index:50;background-color:var(--background-color-base,#fff);padding:16px 16px;font-size:var(--font-size-small,0.875rem);box-shadow:0 2px 6px -1px rgba(0,0,0,0.2);transition-property:opacity;transition-duration:100ms;width:max-content;max-width:200px;max-height:75vh}.vector-pinnable-element .vector-menu-heading{color:var(--color-subtle,#54595d);font-weight:normal;cursor:default;padding:6px 0;margin:6px 0;border-bottom:1px solid var(--background-color-interactive,#eaecf0)}.vector-pinnable-element .mw-list-item,.vector-dropdown-content .mw-list-item{padding:0}.vector-pinnable-element .mw-list-item a,.vector-dropdown-content .mw-list-item a{display:flex;align-items:center;padding:6px 0}.vector-pinnable-element .mw-list-item a:not(.mw-selflink):visited,.vector-dropdown-content .mw-list-item a:not(.mw-selflink):visited{color:var(--color-progressive,#36c)}.vector-pinnable-element .mw-list-item a:not(.mw-selflink):visited:hover,.vector-dropdown-content .mw-list-item a:not(.mw-selflink):visited:hover{color:var(--color-progressive--hover,#3056a9)}.vector-feature-main-menu-pinned-disabled .vector-main-menu-container .vector-main-menu-landmark{display:none}.vector-main-menu #p-navigation .vector-menu-heading{display:none}.vector-pinnable-element{font-size:var(--font-size-small,0.875rem)}.vector-pinned-container{background-color:var(--background-color-base,#fff);padding:0 16px;margin-bottom:2rem;display:none}@supports (display:grid){.vector-pinned-container{display:block}}.vector-column-start,.vector-column-end{contain:paint}.vector-sticky-pinned-container{overflow:hidden auto;position:sticky;top:24px;box-sizing:border-box;max-height:calc(100vh - (24px*2));transition:top 250ms linear,max-height 250ms linear}.vector-sticky-pinned-container::after{content:"";display:block;position:sticky;bottom:0;left:0;right:0;height:16px;background:linear-gradient(rgba(255,255,255,0),var(--background-color-base,#fff));background-repeat:no-repeat;pointer-events:none}.vector-pinnable-header{padding-bottom:6px;margin-bottom:6px;border-bottom:1px solid var(--background-color-interactive,#eaecf0);line-height:1.6}.vector-pinnable-header-label{display:inline-block;vertical-align:middle;font-size:var(--font-size-small,0.875rem);margin:0 0.5rem 0 0!important;padding:0;border:0;font-weight:bold}.vector-pinnable-header-toggle-button{display:none;border:0;padding:4px 8px;background-color:var(--background-color-interactive,#eaecf0);color:var(--color-base,#202122);cursor:pointer;text-align:left;font-size:0.75rem;border-radius:2px}.vector-pinnable-header-toggle-button:hover{background-color:var(--background-color-neutral-subtle,#f8f9fa)}.vector-feature-page-tools-pinned-disabled .vector-column-end .vector-page-tools-landmark{display:none}.vector-toc .vector-pinnable-header{margin-left:12px}.vector-toc .vector-pinnable-header-label{font-size:100%}.vector-toc .vector-toc-numb{display:none}.vector-toc .vector-toc-toggle{transition:100ms;position:absolute;left:calc(-1*22px/2);top:1px;min-width:22px;min-height:22px;padding:0;font-size:0.7rem}.vector-toc .vector-toc-link{display:block;word-break:break-word}.vector-toc .vector-toc-list-item-active>.vector-toc-link{color:var(--color-base,#202122)!important;font-weight:bold}.vector-toc .vector-toc-list-item-active>.vector-toc-link .vector-toc-text{width:calc(100% + 16px)}.vector-toc .vector-toc-level-1-active:not(.vector-toc-list-item-active)>.vector-toc-link{color:var(--color-base,#202122)!important}.vector-toc .vector-toc-text{padding:6px 0}.vector-toc .vector-toc-contents,.vector-toc .vector-toc-list{margin:0;list-style:none}.vector-toc .vector-toc-list-item{position:relative;list-style-type:none;padding-left:12px;margin:0}.client-js .vector-toc .vector-toc-level-1.vector-toc-list-item-expanded .vector-toc-list-item{display:block}.client-js .vector-toc .vector-toc-toggle{display:block}.client-js .vector-toc .vector-toc-level-1.vector-toc-list-item-expanded .vector-toc-toggle{transform:rotate(0deg)}.vector-toc-landmark{display:none}.vector-feature-toc-pinned-clientpref-1 .vector-column-start .vector-toc-landmark{display:block}.cdx-button.cdx-button--icon-only span+span{display:block;position:absolute!important;clip:rect(1px,1px,1px,1px);width:1px;height:1px;margin:-1px;border:0;padding:0;overflow:hidden;-webkit-user-select:none;-moz-user-select:none;user-select:none}input:hover+.cdx-button--weight-quiet:not(.cdx-button--action-progressive){background-color:var(--background-color-interactive-subtle--hover,#eaecf0)}input:active+.cdx-button--weight-quiet:not(.cdx-button--action-progressive){background-color:var(--background-color-interactive-subtle--active,#dadde3);color:var(--color-emphasized,#101418)}input:focus:not(:active)+.cdx-button:not(.cdx-button--action-progressive){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}input:hover+.cdx-button--weight-quiet.cdx-button--action-progressive{background-color:var(--background-color-progressive-subtle,#e8eeff);color:var(--color-progressive--hover,#3056a9)}input:active+.cdx-button--weight-quiet.cdx-button--action-progressive{background-color:var(--background-color-progressive--active,#233566);color:var(--color-inverted,#fff);border-color:var(--border-color-progressive--active,#233566)}input:focus:not(:active)+.cdx-button--action-progressive{border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c) inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.vector-feature-appearance-pinned-clientpref-1 .vector-user-links .vector-appearance-landmark{display:none}.skin-client-pref-exclusion-notice{display:none}.vector-page-titlebar .mw-portlet-lang{box-sizing:border-box}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-label{user-select:none;opacity:1}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-label.cdx-button--action-progressive.cdx-button--weight-quiet::after{mask-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxMiIgaGVpZ2h0PSIxMiIgdmlld0JveD0iMCAwIDEyIDEyIj4KCTxwYXRoIGZpbGw9IiMzNmMiIGQ9Im0xMS4wNSAzLjk5Ni0uOTY1LTEuMDUzLTQuMDM1IDMuODYtMy45NDctMy44NkwxLjA1IDMuOTk2bDUgNXoiLz4KPC9zdmc+Cg==);background-color:var(--color-progressive,#36c);opacity:1}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-checkbox:active+.vector-dropdown-label.cdx-button--action-progressive.cdx-button--weight-quiet{color:var(--color-inverted-fixed,#fff)}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-checkbox:active+.vector-dropdown-label.cdx-button--action-progressive.cdx-button--weight-quiet .vector-icon{filter:brightness(0) invert(1)}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-checkbox:active+.vector-dropdown-label.cdx-button--action-progressive.cdx-button--weight-quiet::after{background-image:url(data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxMiIgaGVpZ2h0PSIxMiIgdmlld0JveD0iMCAwIDEyIDEyIj4KCTxwYXRoIGZpbGw9IiNmZmYiIGQ9Im0xMS4wNSAzLjk5Ni0uOTY1LTEuMDUzLTQuMDM1IDMuODYtMy45NDctMy44NkwxLjA1IDMuOTk2bDUgNXoiLz4KPC9zdmc+Cg==)}.vector-page-titlebar .mw-portlet-lang .vector-dropdown-content{box-sizing:border-box;max-height:65vh;overflow:auto;left:auto;right:0}.vector-page-titlebar .mw-portlet-lang .mw-portlet-lang-heading-empty::after{content:"";min-width:10px;min-height:10px;width:calc(var(--font-size-medium,1rem) - 4px);height:calc(var(--font-size-medium,1rem) - 4px);display:inline-block;vertical-align:text-bottom;width:0.75rem;height:0.75rem;margin-left:7px}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.vector-page-titlebar .mw-portlet-lang .mw-portlet-lang-heading-empty::after{background-position:center;background-repeat:no-repeat;background-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.vector-page-titlebar .mw-portlet-lang .mw-portlet-lang-heading-empty::after{-webkit-mask-position:center;mask-position:center;-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px));mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.vector-page-titlebar .mw-portlet-lang .mw-portlet-lang-heading-empty::after{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,0.87)}}@supports (-webkit-mask-image:none) or (mask-image:none){.vector-page-titlebar .mw-portlet-lang .mw-portlet-lang-heading-empty::after{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);background-color:var(--color-base,#202122)}}.mw-interlanguage-selector{display:inline-flex;align-items:center}.mw-interlanguage-selector::after{content:"";min-width:10px;min-height:10px;width:calc(var(--font-size-medium,1rem) - 4px);height:calc(var(--font-size-medium,1rem) - 4px);display:inline-block;vertical-align:text-bottom;width:0.75rem;height:0.75rem;margin-left:7px}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-interlanguage-selector::after{background-position:center;background-repeat:no-repeat;background-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-interlanguage-selector::after{-webkit-mask-position:center;mask-position:center;-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px));mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-interlanguage-selector::after{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,0.87)}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-interlanguage-selector::after{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);background-color:var(--color-base,#202122)}}.client-js .mw-portlet-lang .vector-dropdown-content{display:none}.vector-user-links{display:flex;align-items:center;position:relative;justify-content:flex-end;flex-shrink:1}.vector-user-links .mw-list-item{margin:0 4px}.vector-user-links-main{display:flex;align-items:center}.vector-user-links-main .vector-menu-content-list{display:flex;align-items:center;font-size:var(--font-size-small,0.875rem)}.vector-user-menu-logged-in .vector-dropdown-label::after{content:"";min-width:10px;min-height:10px;width:calc(var(--font-size-medium,1rem) - 4px);height:calc(var(--font-size-medium,1rem) - 4px);display:inline-block;vertical-align:text-bottom;width:0.75rem;height:0.75rem;margin-left:7px}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.vector-user-menu-logged-in .vector-dropdown-label::after{background-position:center;background-repeat:no-repeat;background-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.vector-user-menu-logged-in .vector-dropdown-label::after{-webkit-mask-position:center;mask-position:center;-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px));mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.vector-user-menu-logged-in .vector-dropdown-label::after{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,0.87)}}@supports (-webkit-mask-image:none) or (mask-image:none){.vector-user-menu-logged-in .vector-dropdown-label::after{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);background-color:var(--color-base,#202122)}}#p-user-menu-anon-editor .vector-menu-heading a::before{content:"(";content:"("/""}#p-user-menu-anon-editor .vector-menu-heading a::after{content:")";content:")"/""}.mw-header{display:flex;flex-wrap:wrap;align-items:center;padding-top:8px;padding-bottom:8px;gap:16px}.mw-header .vector-header-start{gap:20px}.mw-header .vector-header-start,.mw-header .vector-header-end{display:flex;align-items:center}.mw-header .vector-header-end{flex-grow:1}.mw-header .search-toggle{display:inline-flex;float:right;font-size:1rem}.mw-header .vector-typeahead-search-container{display:none}.vector-icon{-webkit-mask-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mNkYAAAAAYAAjCB0C8AAAAASUVORK5CYII=);mask-image:url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mNkYAAAAAYAAjCB0C8AAAAASUVORK5CYII=);min-width:10px;min-height:10px;width:calc(var(--font-size-medium,1rem) + 4px);height:calc(var(--font-size-medium,1rem) + 4px);display:inline-block;vertical-align:text-bottom;background-color:var(--color-base,#202122)}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.vector-icon{background-position:center;background-repeat:no-repeat;background-size:calc(max(calc(var(--font-size-medium,1rem) + 4px),10px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.vector-icon{-webkit-mask-position:center;mask-position:center;-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-size:calc(max(calc(var(--font-size-medium,1rem) + 4px),10px));mask-size:calc(max(calc(var(--font-size-medium,1rem) + 4px),10px))}}.vector-icon[class*="-progressive"]{background-color:var(--color-progressive,#36c)}.mw-indicators{font-size:var(--font-size-small,0.875rem);line-height:1.6;position:relative;float:right;display:flex;column-gap:8px;flex-wrap:wrap}.mw-footer-container{padding-top:50px;padding-bottom:82px}.mw-footer{direction:ltr;border-top:1px solid var(--border-color-base,#a2a9b1);padding:0.75em 0}.mw-footer ul{list-style:none;margin:0;padding:0}.mw-footer li{color:var(--color-base,#202122);margin:0;padding:0.5em 0;font-size:0.75em}#footer-icons{float:right}#footer-icons li{float:left;margin-left:0.5em;line-height:2;text-align:right}#footer-icons a{padding-left:8px;padding-right:8px;background-color:#f8f9fa}#footer-info li{line-height:1.4;display:inline-block}#footer-info #footer-info-copyright{display:block}#footer-places li{float:left;margin-right:1em;line-height:2}.vector-menu .vector-menu-content-list{list-style:none;margin:0}.vector-menu-tabs{float:left}.vector-menu-tabs .mw-list-item.vector-tab-noicon a:focus,.vector-menu-tabs .mw-list-item.vector-tab-noicon a:hover{text-decoration:none;border-bottom:2px solid}.vector-menu-tabs .mw-list-item.vector-tab-noicon a{border-bottom:2px solid var(--border-color-transparent,transparent)}.vector-menu-tabs .mw-list-item a:visited{color:var(--color-progressive,#36c)}.vector-menu-tabs .mw-list-item a:visited:hover{color:var(--color-progressive--hover,#3056a9)}.vector-menu-tabs .mw-list-item.new a:visited{color:var(--color-destructive,#bf3c2c)}.vector-menu-tabs .mw-list-item.new a:visited:hover{color:var(--color-destructive--hover,#9f3526)}.vector-menu-tabs .mw-list-item.selected a{color:var(--color-base,#202122)!important;border-bottom:2px solid}.vector-menu-tabs .mw-list-item.vector-tab-noicon,.vector-page-toolbar-container .vector-dropdown{margin:0 8px}.vector-menu-tabs .mw-list-item,.vector-page-toolbar-container .vector-dropdown-label{white-space:nowrap}.vector-menu-tabs .mw-list-item,.vector-page-toolbar-container .vector-dropdown{float:left;margin-bottom:0}.vector-menu-tabs .mw-list-item>a,.vector-page-toolbar-container .vector-dropdown .vector-dropdown-label{display:inline-flex;position:relative;cursor:pointer;font-weight:normal}.vector-page-toolbar-container .vector-dropdown .vector-dropdown-label{font-size:inherit;border:0}.vector-menu-tabs .mw-list-item.vector-tab-noicon>a,.vector-page-toolbar-container .vector-dropdown .vector-dropdown-label{padding:12px 0 7px 0;margin-bottom:-1px}.vector-page-titlebar{position:relative;display:flex;flex-wrap:nowrap;justify-content:flex-end;align-items:center}.vector-page-titlebar .firstHeading{flex-grow:1;padding:0;border:0}.vector-page-titlebar>.mw-portlet-lang{flex-shrink:0}.vector-page-titlebar>.mw-portlet-lang:last-child{margin-right:calc(-1*12px)}.vector-page-toolbar-container{display:flex;font-size:var(--font-size-small,0.875rem);box-shadow:0 1px var(--border-color-subtle,#c8ccd1);margin-bottom:1px}.vector-page-toolbar-container .mw-portlet-views{display:none}#left-navigation{display:flex;margin-left:-8px;flex-grow:1}#right-navigation{display:flex;margin-right:-8px}#right-navigation .vector-dropdown-content{left:auto;right:0}.vector-search-box{font-size:var(--font-size-small,0.875rem);flex-grow:1}.vector-search-box .vector-typeahead-search-container{max-width:31.25rem;margin-right:12px}.vector-search-box .cdx-typeahead-search--show-thumbnail.cdx-typeahead-search--auto-expand-width:not(.cdx-typeahead-search--expanded){margin-left:calc((12px + 40px) - (18px + 8px))}#siteNotice{font-size:0.8em;margin:24px 0;position:relative;text-align:center}.mw-portlet-dock-bottom{display:none}.vector-sticky-header-container{display:none}}@media screen and (min-width:1120px){.mw-page-container,.vector-header-container .mw-header{padding-left:2.75rem;padding-right:2.75rem}}@media screen and (min-width:1680px){.mw-page-container,.vector-header-container .mw-header{padding-left:3.25rem;padding-right:3.25rem}}@media screen and (min-width:1120px){.mw-page-container-inner{display:grid;column-gap:24px;grid-template:min-content 1fr min-content/12.25rem minmax(0,1fr);grid-template-areas:"siteNotice siteNotice""columnStart pageContent""footer footer"}.vector-sitenotice-container{grid-area:siteNotice}.vector-column-start{grid-area:columnStart;overflow-anchor:none}.mw-content-container{grid-area:pageContent}.mw-footer-container{grid-area:footer}.vector-feature-appearance-pinned-clientpref-1 .vector-column-end{width:12.25rem}.vector-column-start,.vector-column-end{margin-top:2.8rem;border-top:1px solid transparent}}@media screen and (min-width:1680px){.mw-page-container-inner{grid-template-columns:15.5rem minmax(0,1fr)}.mw-header{display:grid;column-gap:24px;grid-template:auto/15.5rem minmax(0,1fr);grid-template-areas:"headerStart headerEnd"}.mw-header .vector-header-start{grid-area:headerStart}.mw-header .vector-header-end{grid-area:headerEnd}.vector-feature-appearance-pinned-clientpref-1 .vector-column-end{width:15.5rem}}@media screen and (min-width:1120px){.mw-body{display:grid;grid-template:min-content min-content min-content 1fr/minmax(0,59.25rem) min-content;grid-template-areas:"titlebar-cx .""titlebar columnEnd""toolbar columnEnd""content columnEnd"}.mw-body .vector-page-titlebar{grid-area:titlebar}.mw-body .vector-page-toolbar{grid-area:toolbar}.mw-body #bodyContent{grid-area:content}.mw-body .vector-column-end{grid-area:columnEnd;overflow-anchor:none}.vector-feature-appearance-pinned-clientpref-1 .mw-body{column-gap:24px}}@media screen and (max-width:calc(1120px - 1px)){.client-js .vector-pinned-container{display:none}.client-js .vector-sticky-pinned-container{display:none}}@media screen and (min-width:1120px){.client-js .vector-pinnable-header-unpinned .vector-pinnable-header-pin-button,.client-js .vector-pinnable-header-pinned .vector-pinnable-header-unpin-button{display:inline-block}}@media screen and (max-width:calc(640px - 1px)){.vector-page-tools .vector-has-collapsible-items{display:block}}@media screen and (max-width:calc(1120px - 1px)){.client-js .vector-page-titlebar .vector-toc-landmark{display:block}.client-js .mw-table-of-contents-container.vector-toc-landmark{display:none}}@media screen and (max-width:calc(1120px - 1px)){.vector-header .cdx-button.cdx-button--icon-only{min-height:44px;min-width:44px}}@media screen and (min-width:1120px){.vector-button-flush-left{margin-left:calc(-1*6px)}}@media screen and (max-width:calc(1120px - 1px)){.vector-button-flush-left{margin-left:calc(-1*12px)}}@media screen and (min-width:1120px){.vector-button-flush-right{margin-right:calc(-1*6px)}}@media screen and (max-width:calc(1120px - 1px)){.vector-button-flush-right{margin-right:calc(-1*12px)}}@media screen and (min-width:640px){.vector-user-menu.user-links-collapsible-item{display:none}}@media screen and (max-width:calc(640px - 1px)){.vector-user-links-main .user-links-collapsible-item{display:none}}@media screen and (min-width:1120px){.mw-header .search-toggle{display:none!important}}@media screen and (min-width:1120px){.mw-header .vector-typeahead-search-container{display:block}}@media screen and (min-width:640px){.vector-page-toolbar-container .mw-portlet-views:not(.emptyPortlet){display:block}}@media screen and (min-width:1680px){.client-js .vector-search-box.vector-search-box-auto-expand-width{margin-left:calc(-1*24px)}}@media all{.mw-logo{display:flex;height:100%;align-items:center}.mw-logo-icon{float:left;margin-right:10px;display:none;width:3.125em;height:3.125em}.mw-logo-container{float:left;max-width:120px}.mw-logo-container img{width:100%}.mw-logo-wordmark{display:block;margin:0 auto}.mw-logo-tagline{display:block;margin:5px auto 0}}@media all and (min-width:640px){.mw-logo-icon{display:block}}@media all and (min-width:640px){.mw-logo-container{max-width:none}.mw-logo-container img{width:auto}}.cdx-button::-moz-focus-inner{border:0;padding:0}.cdx-button:enabled:hover,.cdx-button.cdx-button--fake-button--enabled:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);border-color:var(--border-color-interactive--hover,#27292d);cursor:pointer}.cdx-button:enabled:active,.cdx-button.cdx-button--fake-button--enabled:active{background-color:var(--background-color-interactive-subtle--active,#dadde3);border-color:var(--border-color-interactive--active,#202122)}.cdx-button:enabled:focus,.cdx-button.cdx-button--fake-button--enabled:focus{outline:1px solid transparent}.cdx-button:enabled:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle--hover,#d9e2ff);color:var(--color-progressive--hover,#3056a9);border-color:var(--border-color-progressive--hover,#3056a9)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#3056a9)}}.cdx-button:enabled.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active{background-color:var(--background-color-progressive-subtle--active,#b6d4fb);color:var(--color-progressive--active,#233566);border-color:var(--border-color-progressive--active,#233566)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active .cdx-button__icon{background-color:var(--color-progressive--active,#233566)}}.cdx-button:enabled.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive-subtle--hover,#ffdad3);color:var(--color-destructive--hover,#9f3526);border-color:var(--border-color-destructive--hover,#9f3526)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#9f3526)}}.cdx-button:enabled.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active{background-color:var(--background-color-destructive-subtle--active,#ffc8bd);color:var(--color-destructive--active,#612419);border-color:var(--border-color-destructive--active,#612419)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active .cdx-button__icon{background-color:var(--color-destructive--active,#612419)}}.cdx-button:enabled.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive--hover,#3056a9)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:active{background-color:var(--background-color-progressive--active,#233566)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c),inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive--hover,#9f3526)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:active{background-color:var(--background-color-destructive--active,#612419)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c),inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.cdx-button:enabled.cdx-button--weight-quiet:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);mix-blend-mode:var(--mix-blend-mode-blend,multiply)}.cdx-button:enabled.cdx-button--weight-quiet:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:active{background-color:var(--background-color-interactive-subtle--active,#dadde3)}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle--hover,#d9e2ff);color:var(--color-progressive--hover,#3056a9);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#3056a9)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active{background-color:var(--background-color-progressive-subtle--active,#b6d4fb);color:var(--color-progressive--active,#233566);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon{background-color:var(--color-progressive--active,#233566)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive-subtle--hover,#ffdad3);color:var(--color-destructive--hover,#9f3526);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#9f3526)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active{background-color:var(--background-color-destructive-subtle--active,#ffc8bd);color:var(--color-destructive--active,#612419);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon{background-color:var(--color-destructive--active,#612419)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c)}.cdx-text-input__clear-icon.cdx-icon:hover{cursor:pointer}.cdx-text-input__input:enabled:hover{border-color:var(--border-color-interactive--hover,#27292d)}.cdx-text-input__input:enabled:focus~.cdx-text-input__icon-vue{color:var(--color-subtle,#54595d)}.cdx-text-input__input:enabled:focus~.cdx-text-input__clear-icon{color:var(--color-base,#202122)}.cdx-text-input__input:enabled:focus~.cdx-text-input__icon{opacity:1}.cdx-text-input__input:enabled:focus{border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c);outline:1px solid transparent}.cdx-text-input__input::placeholder{color:var(--color-placeholder,#72777d);opacity:1}.cdx-text-input__input[type=search]::-webkit-search-decoration,.cdx-text-input__input[type=search]::-webkit-search-cancel-button{display:none}.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus){background-color:var(--background-color-error-subtle,#ffe9e5);color:var(--color-error,#bf3c2c);border-color:var(--border-color-error,#f54739)}.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus)::placeholder,.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus)~.cdx-text-input__start-icon,.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus)~.cdx-text-input__end-icon{color:var(--color-error,#bf3c2c)}.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus):hover{background-color:var(--background-color-error-subtle--hover,#ffdad3);color:var(--color-error--hover,#9f3526);border-color:var(--border-color-error--hover,#9f3526)}.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus):hover::placeholder,.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus):hover~.cdx-text-input__start-icon,.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus):hover~.cdx-text-input__end-icon{color:var(--color-error--hover,#9f3526)}.cdx-search-input--has-end-button{background-color:var(--background-color-base,#fff);display:flex;border:1px solid var(--border-color-base,#a2a9b1);border-radius:2px}.cdx-search-input--has-end-button .cdx-search-input__input-wrapper{flex-grow:1;margin:-1px}.cdx-search-input--has-end-button .cdx-search-input__input-wrapper .cdx-text-input{border-top-right-radius:0;border-bottom-right-radius:0}.cdx-search-input__end-button.cdx-button{flex-shrink:0;margin:-1px -1px -1px 0;border-top-left-radius:0;border-bottom-left-radius:0}.cdx-search-input__end-button.cdx-button:hover,.cdx-search-input__end-button.cdx-button:focus{z-index:1}.cdx-search-input__input-wrapper{position:relative}.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{min-width:10px;min-height:10px;width:calc(var(--font-size-medium,1rem) + 4px);height:calc(var(--font-size-medium,1rem) + 4px);display:inline-block;vertical-align:text-bottom}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{background-position:center;background-repeat:no-repeat;background-size:max(calc(var(--font-size-medium,1rem) + 4px),10px)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{-webkit-mask-position:center;mask-position:center;-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-size:max(calc(var(--font-size-medium,1rem) + 4px),10px);mask-size:max(calc(var(--font-size-medium,1rem) + 4px),10px)}}@supports not (((-webkit-mask-image:none) or (mask-image:none))){.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"M12.2\ 13.6a7\ 7\ 0\ 111.4-1.4l5.4\ 5.4-1.4\ 1.4zM3\ 8a5\ 5\ 0\ 1010\ 0A5\ 5\ 0\ 003\ 8\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,.87)}}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-search-input .cdx-text-input__icon.cdx-text-input__start-icon{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"M12.2\ 13.6a7\ 7\ 0\ 111.4-1.4l5.4\ 5.4-1.4\ 1.4zM3\ 8a5\ 5\ 0\ 1010\ 0A5\ 5\ 0\ 003\ 8\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"M12.2\ 13.6a7\ 7\ 0\ 111.4-1.4l5.4\ 5.4-1.4\ 1.4zM3\ 8a5\ 5\ 0\ 1010\ 0A5\ 5\ 0\ 003\ 8\"\/><\/svg>);background-color:var(--color-base,#202122)}}.cdx-radio{position:relative;min-width:20px;min-height:20px}.cdx-radio:not(.cdx-radio--inline){display:flex;flex-direction:column;margin-bottom:6px}.cdx-radio:not(.cdx-radio--inline):last-child{margin-bottom:0}.cdx-radio__label,.cdx-radio__label.cdx-label{display:inline-flex;position:relative;z-index:0;padding-left:calc(var(--font-size-medium,1rem) + 10px)}.cdx-radio__label.cdx-label .cdx-label__label__text{font-weight:400}.cdx-radio__icon{position:absolute;left:0;box-sizing:border-box;min-width:18px;min-height:18px;width:calc(var(--font-size-medium,1rem) + 4px);height:calc(var(--font-size-medium,1rem) + 4px);margin-top:1px;border-width:1px;border-style:solid;transition-property:background-color,color,border-color,box-shadow;transition-duration:.1s}.cdx-radio__input{opacity:0;position:absolute;left:0;z-index:1;min-width:20px;min-height:20px;width:calc(var(--font-size-medium,1rem) + 4px);height:calc(var(--font-size-medium,1rem) + 4px);margin:1px 0 0;font-size:var(--font-size-medium,1rem);cursor:inherit}.cdx-radio__wrapper:hover>.cdx-radio__input:enabled,.cdx-radio__wrapper:hover>.cdx-radio__input:enabled~.cdx-label .cdx-label__label,.cdx-radio__wrapper:hover>.cdx-radio__input:enabled~.cdx-radio__label:not(.cdx-label){cursor:pointer}.cdx-radio__icon{border-radius:50%}.cdx-radio__icon:before{content:" ";position:absolute;top:-.25rem;right:-.25rem;bottom:-.25rem;left:-.25rem;border:1px solid var(--border-color-transparent,transparent);border-radius:50%}.cdx-radio__input:enabled+.cdx-radio__icon{background-color:var(--background-color-base,#fff);border-color:var(--border-color-interactive,#72777d)}.cdx-radio__input:enabled:hover+.cdx-radio__icon{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);border-color:var(--border-color-interactive--hover,#27292d)}.cdx-radio__input:enabled:active+.cdx-radio__icon{background-color:var(--background-color-interactive-subtle--active,#dadde3);border-color:var(--border-color-interactive--active,#202122)}.cdx-radio__input:enabled:focus:not(:active)+.cdx-radio__icon{border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-radio__input:enabled:checked+.cdx-radio__icon{background-color:var(--background-color-base-fixed,#fff);border-width:6px;border-color:var(--background-color-progressive,#36c)}.cdx-radio__input:enabled:checked:hover+.cdx-radio__icon{border-color:var(--background-color-progressive--hover,#3056a9)}.cdx-radio__input:enabled:checked:focus+.cdx-radio__icon:before{border-color:var(--border-color-inverted,#fff)}.cdx-radio__input:enabled:checked:active+.cdx-radio__icon{background-color:var(--background-color-base-fixed,#fff);border-color:var(--background-color-progressive--active,#233566)}.cdx-radio__input:enabled:checked:active+.cdx-radio__icon:before{border-color:var(--background-color-progressive--active,#233566)}.cdx-radio--status-error .cdx-radio__input:enabled:hover+.cdx-radio__icon{background-color:var(--background-color-error-subtle--hover,#ffdad3);border-color:var(--border-color-error--hover,#9f3526)}.cdx-radio--status-error .cdx-radio__input:enabled:focus+.cdx-radio__icon{border-color:var(--border-color-progressive--focus,#36c)}.cdx-radio--status-error .cdx-radio__input:enabled:active+.cdx-radio__icon{background-color:var(--background-color-error-subtle--active,#ffc8bd);border-color:var(--border-color-error--active,#612419);box-shadow:none}.cdx-radio--status-error .cdx-radio__input:enabled:checked:hover+.cdx-radio__icon{border-color:var(--background-color-error--hover,#d74032)}.cdx-radio--status-error .cdx-radio__input:enabled:checked:focus:not(.cdx-radio--status-error .cdx-radio__input:enabled:checked:active)+.cdx-radio__icon{border-width:1px}.cdx-radio--status-error .cdx-radio__input:enabled:checked:focus:not(.cdx-radio--status-error .cdx-radio__input:enabled:checked:active)+.cdx-radio__icon:before{top:2px;right:2px;bottom:2px;left:2px;border-width:4px;border-color:var(--border-color-error,#f54739)}.cdx-radio--status-error .cdx-radio__input:enabled:checked:active+.cdx-radio__icon{border-color:var(--background-color-error--active,#bf3c2c);box-shadow:none}.cdx-radio--status-error .cdx-radio__input:enabled:checked:active+.cdx-radio__icon:before{border-color:var(--border-color-transparent,transparent)}</style>
<style>.mw-spinner-container>div::after{content:" ";display:block;position:absolute;top:3px;left:29px;width:5px;height:14px;border-radius:20%;background:var(--color-base,#202122)}@keyframes mw-spinner{0%{opacity:1}100%{opacity:0}}</style><style>.cdx-button::-moz-focus-inner{border:0;padding:0}.cdx-button:enabled:hover,.cdx-button.cdx-button--fake-button--enabled:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);border-color:var(--border-color-interactive--hover,#27292d);cursor:pointer}.cdx-button:enabled:active,.cdx-button.cdx-button--fake-button--enabled:active{background-color:var(--background-color-interactive-subtle--active,#dadde3);border-color:var(--border-color-interactive--active,#202122)}.cdx-button:enabled:focus,.cdx-button.cdx-button--fake-button--enabled:focus{outline:1px solid transparent}.cdx-button:enabled:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle--hover,#d9e2ff);color:var(--color-progressive--hover,#3056a9);border-color:var(--border-color-progressive--hover,#3056a9)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#3056a9)}}.cdx-button:enabled.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active{background-color:var(--background-color-progressive-subtle--active,#b6d4fb);color:var(--color-progressive--active,#233566);border-color:var(--border-color-progressive--active,#233566)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active .cdx-button__icon{background-color:var(--color-progressive--active,#233566)}}.cdx-button:enabled.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive-subtle--hover,#ffdad3);color:var(--color-destructive--hover,#9f3526);border-color:var(--border-color-destructive--hover,#9f3526)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#9f3526)}}.cdx-button:enabled.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active{background-color:var(--background-color-destructive-subtle--active,#ffc8bd);color:var(--color-destructive--active,#612419);border-color:var(--border-color-destructive--active,#612419)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active .cdx-button__icon{background-color:var(--color-destructive--active,#612419)}}.cdx-button:enabled.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive--hover,#3056a9)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:active{background-color:var(--background-color-progressive--active,#233566)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c),inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive--hover,#9f3526)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:active{background-color:var(--background-color-destructive--active,#612419)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c),inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.cdx-button:enabled.cdx-button--weight-quiet:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);mix-blend-mode:var(--mix-blend-mode-blend,multiply)}.cdx-button:enabled.cdx-button--weight-quiet:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:active{background-color:var(--background-color-interactive-subtle--active,#dadde3)}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle--hover,#d9e2ff);color:var(--color-progressive--hover,#3056a9);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#3056a9)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active{background-color:var(--background-color-progressive-subtle--active,#b6d4fb);color:var(--color-progressive--active,#233566);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon{background-color:var(--color-progressive--active,#233566)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive-subtle--hover,#ffdad3);color:var(--color-destructive--hover,#9f3526);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#9f3526)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active{background-color:var(--background-color-destructive-subtle--active,#ffc8bd);color:var(--color-destructive--active,#612419);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon{background-color:var(--color-destructive--active,#612419)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c)}.cdx-dialog-focus-trap:focus{outline:0}@keyframes cdx-animation-progress-bar__bar{0%{transform:translate(-100%)}to{transform:translate(300%)}}.cdx-menu-item__content:hover{text-decoration:none}.cdx-select:enabled:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);border-color:var(--border-color-interactive--hover,#27292d);cursor:pointer}.cdx-select:enabled:active{background-color:var(--background-color-interactive-subtle--active,#dadde3);border-color:var(--border-color-interactive--active,#202122)}.cdx-select:enabled:focus:not(:active){background-color:var(--background-color-base,#fff);border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c);outline:1px solid transparent}.cdx-select-vue--enabled .cdx-select-vue__handle:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);border-color:var(--border-color-interactive--hover,#27292d);cursor:pointer}.cdx-select-vue--enabled .cdx-select-vue__handle:active{background-color:var(--background-color-interactive-subtle--active,#dadde3);border-color:var(--border-color-interactive--active,#202122)}.cdx-select-vue--enabled .cdx-select-vue__handle:focus:not(:active){background-color:var(--background-color-base,#fff);border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c);outline:1px solid transparent}.cdx-select-vue--status-error.cdx-select-vue--enabled .cdx-select-vue__handle:hover:not(:focus){background-color:var(--background-color-error-subtle--hover,#ffdad3);color:var(--color-error--hover,#9f3526);border-color:var(--border-color-error--hover,#9f3526)}.cdx-select-vue--status-error.cdx-select-vue--enabled .cdx-select-vue__handle:hover:not(:focus) .cdx-select-vue__start-icon{color:var(--color-error--hover,#9f3526)}.cdx-select-vue--status-error.cdx-select-vue--enabled .cdx-select-vue__handle:active{background-color:var(--background-color-error-subtle--active,#ffc8bd);color:var(--color-error--active,#612419);border-color:var(--border-color-error--active,#612419)}.cdx-select-vue--status-error.cdx-select-vue--enabled .cdx-select-vue__handle:active .cdx-select-vue__start-icon{color:var(--color-error--active,#612419)}.cdx-select-vue--status-error.cdx-select-vue--enabled .cdx-select-vue__handle:focus:not(:active){color:var(--color-subtle,#54595d)}.cdx-select-vue--status-error.cdx-select-vue--enabled.cdx-select-vue--value-selected .cdx-select-vue__handle:focus:not(:active){color:var(--color-base,#202122)}.cdx-select-vue--status-error.cdx-select-vue--enabled.cdx-select-vue--value-selected .cdx-select-vue__handle:focus:not(:active) .cdx-select-vue__start-icon{color:var(--color-base,#202122)}.cdx-tab:focus{outline:1px solid transparent}.cdx-tabs__prev-scroller:after,.cdx-tabs__next-scroller:before{content:"";position:absolute;top:0;z-index:1;width:1.5rem;height:100%;pointer-events:none}.cdx-tabs__prev-scroller:after{left:100%}.cdx-tabs__next-scroller:before{right:100%}.cdx-tabs__list::-webkit-scrollbar{-webkit-appearance:none;display:none}.cdx-tabs__list__item:hover{cursor:pointer}.cdx-tabs--framed>.cdx-tabs__header .cdx-tabs__prev-scroller:after{background-image:linear-gradient(to right,var(--background-color-interactive,#eaecf0)0,var(--background-color-transparent,transparent) 100%)}.cdx-tabs--framed>.cdx-tabs__header .cdx-tabs__next-scroller:before{background-image:linear-gradient(to left,var(--background-color-interactive,#eaecf0)0,var(--background-color-transparent,transparent) 100%)}.cdx-tabs--framed>.cdx-tabs__header .cdx-tabs__list__item:enabled:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);color:var(--color-base,#202122);mix-blend-mode:var(--mix-blend-mode-blend,multiply)}.cdx-tabs--framed>.cdx-tabs__header .cdx-tabs__list__item:enabled:active{background-color:var(--background-color-interactive-subtle--active,#dadde3);color:var(--color-base,#202122)}.cdx-tabs--framed>.cdx-tabs__header .cdx-tabs__list__item[aria-selected=true]:hover{background-color:var(--background-color-base,#fff);color:var(--color-base,#202122);mix-blend-mode:var(--mix-blend-mode-base,normal)}.cdx-tabs:not(.cdx-tabs--framed)>.cdx-tabs__header .cdx-tabs__prev-scroller:after{background-image:linear-gradient(to right,var(--background-color-base,#fff)0,var(--background-color-transparent,transparent) 100%)}.cdx-tabs:not(.cdx-tabs--framed)>.cdx-tabs__header .cdx-tabs__next-scroller:before{background-image:linear-gradient(to left,var(--background-color-base,#fff)0,var(--background-color-transparent,transparent) 100%)}.cdx-tabs:not(.cdx-tabs--framed)>.cdx-tabs__header .cdx-tabs__list__item:enabled:hover:not([aria-selected="true"]){color:var(--color-progressive--hover,#3056a9);box-shadow:inset 0-2px 0 0 var(--box-shadow-color-progressive-selected--hover,#3056a9)}.cdx-tabs:not(.cdx-tabs--framed)>.cdx-tabs__header .cdx-tabs__list__item:enabled:active:not([aria-selected="true"]){color:var(--color-progressive--active,#233566);box-shadow:inset 0-2px 0 0 var(--box-shadow-color-progressive-selected--active,#233566)}.cdx-tabs:not(.cdx-tabs--framed)>.cdx-tabs__header .cdx-tabs__list__item[aria-selected=true]:hover{color:var(--color-progressive,#36c)}.cdx-tabs--framed>.cdx-tabs__header .cdx-tabs__list__item:focus-visible,.cdx-tabs:not(.cdx-tabs--framed)>.cdx-tabs__header .cdx-tabs__list__item:focus-visible{box-shadow:inset 0 0 0 2px var(--border-color-progressive,#6485d1);outline:1px solid transparent;overflow:hidden}.cdx-text-input{position:relative;box-sizing:border-box;min-width:256px;border-radius:2px;overflow:hidden}.cdx-text-input .cdx-text-input__start-icon{position:absolute;top:50%;transition-property:color;transition-duration:.1s;left:9px;transform:translateY(-50%)}.cdx-text-input__clear-icon.cdx-icon:hover{cursor:pointer}.cdx-text-input__input{display:block;box-sizing:border-box;min-height:32px;width:100%;max-height:2rem;margin:0;border-width:1px;border-style:solid;border-radius:0;padding:4px 8px;font-family:inherit;font-size:var(--font-size-medium,1rem);line-height:var(--line-height-small,1.375rem)}.cdx-text-input__input:enabled{background-color:var(--background-color-base,#fff);color:var(--color-base,#202122);border-color:var(--border-color-interactive,#72777d);box-shadow:inset 0 0 0 1px var(--box-shadow-color-transparent,transparent);transition-property:background-color,color,border-color,box-shadow;transition-duration:.25s}.cdx-text-input__input:enabled~.cdx-text-input__icon{opacity:var(--opacity-icon-placeholder,.51)}.cdx-text-input__input:enabled:hover{border-color:var(--border-color-interactive--hover,#27292d)}.cdx-text-input__input:enabled:focus~.cdx-text-input__icon-vue{color:var(--color-subtle,#54595d)}.cdx-text-input__input:enabled:focus~.cdx-text-input__clear-icon{color:var(--color-base,#202122)}.cdx-text-input__input:enabled:focus~.cdx-text-input__icon{opacity:1}.cdx-text-input__input:enabled:focus{border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c);outline:1px solid transparent}.cdx-text-input__input::placeholder{color:var(--color-placeholder,#72777d);opacity:1}.cdx-text-input__input[type=search]{-webkit-appearance:none;-moz-appearance:textfield}.cdx-text-input__input[type=search]::-webkit-search-decoration,.cdx-text-input__input[type=search]::-webkit-search-cancel-button{display:none}.cdx-text-input--has-start-icon .cdx-text-input__input{padding-left:calc(8px + 8px + calc(var(--font-size-medium,1rem) + 4px))}.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus){background-color:var(--background-color-error-subtle,#ffe9e5);color:var(--color-error,#bf3c2c);border-color:var(--border-color-error,#f54739)}.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus)::placeholder,.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus)~.cdx-text-input__start-icon,.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus)~.cdx-text-input__end-icon{color:var(--color-error,#bf3c2c)}.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus):hover{background-color:var(--background-color-error-subtle--hover,#ffdad3);color:var(--color-error--hover,#9f3526);border-color:var(--border-color-error--hover,#9f3526)}.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus):hover::placeholder,.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus):hover~.cdx-text-input__start-icon,.cdx-text-input--status-error .cdx-text-input__input:enabled:not(:read-only):not(:focus):hover~.cdx-text-input__end-icon{color:var(--color-error--hover,#9f3526)}</style><style>.mw-ui-icon-edit:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ edit\ %3C/title%3E%3Cpath\ d=%22m16.77\ 8\ 1.94-2a1\ 1\ 0\ 0\ 0\ 0-1.41l-3.34-3.3a1\ 1\ 0\ 0\ 0-1.41\ 0L12\ 3.23zM1\ 14.25V19h4.75l9.96-9.96-4.75-4.75z%22/%3E%3C/svg%3E)}.mw-ui-icon-edit-invert:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ edit\ %3C/title%3E%3Cg\ fill=%22%23fff%22%3E%3Cpath\ d=%22m16.77\ 8\ 1.94-2a1\ 1\ 0\ 0\ 0\ 0-1.41l-3.34-3.3a1\ 1\ 0\ 0\ 0-1.41\ 0L12\ 3.23zM1\ 14.25V19h4.75l9.96-9.96-4.75-4.75z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-edit-progressive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ edit\ %3C/title%3E%3Cg\ fill=%22%2336c%22%3E%3Cpath\ d=%22m16.77\ 8\ 1.94-2a1\ 1\ 0\ 0\ 0\ 0-1.41l-3.34-3.3a1\ 1\ 0\ 0\ 0-1.41\ 0L12\ 3.23zM1\ 14.25V19h4.75l9.96-9.96-4.75-4.75z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-editLock:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ edit\ lock\ %3C/title%3E%3Cpath\ d=%22M12\ 12a2\ 2\ 0\ 0\ 1-2-2V5.25l-9\ 9V19h4.75l7-7zm7-8h-.5V2.5a2.5\ 2.5\ 0\ 0\ 0-5\ 0V4H13a1\ 1\ 0\ 0\ 0-1\ 1v4a1\ 1\ 0\ 0\ 0\ 1\ 1h6a1\ 1\ 0\ 0\ 0\ 1-1V5a1\ 1\ 0\ 0\ 0-1-1m-3\ 4a1\ 1\ 0\ 1\ 1\ 1-1\ 1\ 1\ 0\ 0\ 1-1\ 1m1.5-4h-3V2.75C14.5\ 2\ 14.5\ 1\ 16\ 1s1.5\ 1\ 1.5\ 1.75z%22/%3E%3C/svg%3E)}.mw-ui-icon-editLock-invert:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ edit\ lock\ %3C/title%3E%3Cg\ fill=%22%23fff%22%3E%3Cpath\ d=%22M12\ 12a2\ 2\ 0\ 0\ 1-2-2V5.25l-9\ 9V19h4.75l7-7zm7-8h-.5V2.5a2.5\ 2.5\ 0\ 0\ 0-5\ 0V4H13a1\ 1\ 0\ 0\ 0-1\ 1v4a1\ 1\ 0\ 0\ 0\ 1\ 1h6a1\ 1\ 0\ 0\ 0\ 1-1V5a1\ 1\ 0\ 0\ 0-1-1m-3\ 4a1\ 1\ 0\ 1\ 1\ 1-1\ 1\ 1\ 0\ 0\ 1-1\ 1m1.5-4h-3V2.75C14.5\ 2\ 14.5\ 1\ 16\ 1s1.5\ 1\ 1.5\ 1.75z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-editLock-progressive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ edit\ lock\ %3C/title%3E%3Cg\ fill=%22%2336c%22%3E%3Cpath\ d=%22M12\ 12a2\ 2\ 0\ 0\ 1-2-2V5.25l-9\ 9V19h4.75l7-7zm7-8h-.5V2.5a2.5\ 2.5\ 0\ 0\ 0-5\ 0V4H13a1\ 1\ 0\ 0\ 0-1\ 1v4a1\ 1\ 0\ 0\ 0\ 1\ 1h6a1\ 1\ 0\ 0\ 0\ 1-1V5a1\ 1\ 0\ 0\ 0-1-1m-3\ 4a1\ 1\ 0\ 1\ 1\ 1-1\ 1\ 1\ 0\ 0\ 1-1\ 1m1.5-4h-3V2.75C14.5\ 2\ 14.5\ 1\ 16\ 1s1.5\ 1\ 1.5\ 1.75z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-editUndo:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ undo\ edit\ %3C/title%3E%3Cpath\ d=%22M1\ 14.25V19h4.75l8.33-8.33-5.27-4.23zM13\ 2.86V0L8\ 4l5\ 4V5h.86c2.29\ 0\ 4\ 1.43\ 4\ 4.29H20a6.51\ 6.51\ 0\ 0\ 0-6.14-6.43z%22/%3E%3C/svg%3E)}.mw-ui-icon-editUndo-invert:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ undo\ edit\ %3C/title%3E%3Cg\ fill=%22%23fff%22%3E%3Cpath\ d=%22M1\ 14.25V19h4.75l8.33-8.33-5.27-4.23zM13\ 2.86V0L8\ 4l5\ 4V5h.86c2.29\ 0\ 4\ 1.43\ 4\ 4.29H20a6.51\ 6.51\ 0\ 0\ 0-6.14-6.43z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-editUndo-progressive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ undo\ edit\ %3C/title%3E%3Cg\ fill=%22%2336c%22%3E%3Cpath\ d=%22M1\ 14.25V19h4.75l8.33-8.33-5.27-4.23zM13\ 2.86V0L8\ 4l5\ 4V5h.86c2.29\ 0\ 4\ 1.43\ 4\ 4.29H20a6.51\ 6.51\ 0\ 0\ 0-6.14-6.43z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-link:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ link\ %3C/title%3E%3Cpath\ d=%22M4.83\ 15h2.91a4.9\ 4.9\ 0\ 0\ 1-1.55-2H5a3\ 3\ 0\ 1\ 1\ 0-6h3a3\ 3\ 0\ 0\ 1\ 2.82\ 4h2.1a5\ 5\ 0\ 0\ 0\ .08-.83v-.34A4.83\ 4.83\ 0\ 0\ 0\ 8.17\ 5H4.83A4.83\ 4.83\ 0\ 0\ 0\ 0\ 9.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 4.83\ 15%22/%3E%3Cpath\ d=%22M15.17\ 5h-2.91a4.9\ 4.9\ 0\ 0\ 1\ 1.55\ 2H15a3\ 3\ 0\ 1\ 1\ 0\ 6h-3a3\ 3\ 0\ 0\ 1-2.82-4h-2.1a5\ 5\ 0\ 0\ 0-.08.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 11.83\ 15h3.34A4.83\ 4.83\ 0\ 0\ 0\ 20\ 10.17v-.34A4.83\ 4.83\ 0\ 0\ 0\ 15.17\ 5%22/%3E%3C/svg%3E)}.mw-ui-icon-link-invert:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ link\ %3C/title%3E%3Cg\ fill=%22%23fff%22%3E%3Cpath\ d=%22M4.83\ 15h2.91a4.9\ 4.9\ 0\ 0\ 1-1.55-2H5a3\ 3\ 0\ 1\ 1\ 0-6h3a3\ 3\ 0\ 0\ 1\ 2.82\ 4h2.1a5\ 5\ 0\ 0\ 0\ .08-.83v-.34A4.83\ 4.83\ 0\ 0\ 0\ 8.17\ 5H4.83A4.83\ 4.83\ 0\ 0\ 0\ 0\ 9.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 4.83\ 15%22/%3E%3Cpath\ d=%22M15.17\ 5h-2.91a4.9\ 4.9\ 0\ 0\ 1\ 1.55\ 2H15a3\ 3\ 0\ 1\ 1\ 0\ 6h-3a3\ 3\ 0\ 0\ 1-2.82-4h-2.1a5\ 5\ 0\ 0\ 0-.08.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 11.83\ 15h3.34A4.83\ 4.83\ 0\ 0\ 0\ 20\ 10.17v-.34A4.83\ 4.83\ 0\ 0\ 0\ 15.17\ 5%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-link-progressive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ link\ %3C/title%3E%3Cg\ fill=%22%2336c%22%3E%3Cpath\ d=%22M4.83\ 15h2.91a4.9\ 4.9\ 0\ 0\ 1-1.55-2H5a3\ 3\ 0\ 1\ 1\ 0-6h3a3\ 3\ 0\ 0\ 1\ 2.82\ 4h2.1a5\ 5\ 0\ 0\ 0\ .08-.83v-.34A4.83\ 4.83\ 0\ 0\ 0\ 8.17\ 5H4.83A4.83\ 4.83\ 0\ 0\ 0\ 0\ 9.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 4.83\ 15%22/%3E%3Cpath\ d=%22M15.17\ 5h-2.91a4.9\ 4.9\ 0\ 0\ 1\ 1.55\ 2H15a3\ 3\ 0\ 1\ 1\ 0\ 6h-3a3\ 3\ 0\ 0\ 1-2.82-4h-2.1a5\ 5\ 0\ 0\ 0-.08.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 11.83\ 15h3.34A4.83\ 4.83\ 0\ 0\ 0\ 20\ 10.17v-.34A4.83\ 4.83\ 0\ 0\ 0\ 15.17\ 5%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-unLink:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ unlink\ %3C/title%3E%3Cpath\ d=%22M4.83\ 5A4.83\ 4.83\ 0\ 0\ 0\ 0\ 9.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 4.83\ 15h2.91a4.9\ 4.9\ 0\ 0\ 1-1.55-2H5c-4\ 0-4-6\ 0-6h3q.113.002.225.012L6.215\ 5zm7.43\ 0a4.9\ 4.9\ 0\ 0\ 1\ 1.55\ 2H15c3.179.003\ 4.17\ 4.3\ 1.314\ 5.695l1.508\ 1.508A4.83\ 4.83\ 0\ 0\ 0\ 20\ 10.17v-.34A4.83\ 4.83\ 0\ 0\ 0\ 15.17\ 5zm-3.612.03\ 4.329\ 4.327A4.83\ 4.83\ 0\ 0\ 0\ 8.648\ 5.03M7.227\ 8.411C7.17\ 8.595\ 7.08\ 9\ 7.08\ 9c-.045.273-.08.584-.08.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 11.83\ 15h3.34q.475\ 0\ .941-.094L14.205\ 13H12c-2.067-.006-3.51-2.051-2.82-4zm3.755\ 1.36A3\ 3\ 0\ 0\ 1\ 10.82\ 11h1.389z%22/%3E%3Cpath\ d=%22M1.22\ 0\ 0\ 1.22\ 18.8\ 20l1.2-1.22z%22/%3E%3C/svg%3E)}.mw-ui-icon-unLink-invert:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ unlink\ %3C/title%3E%3Cg\ fill=%22%23fff%22%3E%3Cpath\ d=%22M4.83\ 5A4.83\ 4.83\ 0\ 0\ 0\ 0\ 9.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 4.83\ 15h2.91a4.9\ 4.9\ 0\ 0\ 1-1.55-2H5c-4\ 0-4-6\ 0-6h3q.113.002.225.012L6.215\ 5zm7.43\ 0a4.9\ 4.9\ 0\ 0\ 1\ 1.55\ 2H15c3.179.003\ 4.17\ 4.3\ 1.314\ 5.695l1.508\ 1.508A4.83\ 4.83\ 0\ 0\ 0\ 20\ 10.17v-.34A4.83\ 4.83\ 0\ 0\ 0\ 15.17\ 5zm-3.612.03\ 4.329\ 4.327A4.83\ 4.83\ 0\ 0\ 0\ 8.648\ 5.03M7.227\ 8.411C7.17\ 8.595\ 7.08\ 9\ 7.08\ 9c-.045.273-.08.584-.08.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 11.83\ 15h3.34q.475\ 0\ .941-.094L14.205\ 13H12c-2.067-.006-3.51-2.051-2.82-4zm3.755\ 1.36A3\ 3\ 0\ 0\ 1\ 10.82\ 11h1.389z%22/%3E%3Cpath\ d=%22M1.22\ 0\ 0\ 1.22\ 18.8\ 20l1.2-1.22z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-unLink-progressive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ unlink\ %3C/title%3E%3Cg\ fill=%22%2336c%22%3E%3Cpath\ d=%22M4.83\ 5A4.83\ 4.83\ 0\ 0\ 0\ 0\ 9.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 4.83\ 15h2.91a4.9\ 4.9\ 0\ 0\ 1-1.55-2H5c-4\ 0-4-6\ 0-6h3q.113.002.225.012L6.215\ 5zm7.43\ 0a4.9\ 4.9\ 0\ 0\ 1\ 1.55\ 2H15c3.179.003\ 4.17\ 4.3\ 1.314\ 5.695l1.508\ 1.508A4.83\ 4.83\ 0\ 0\ 0\ 20\ 10.17v-.34A4.83\ 4.83\ 0\ 0\ 0\ 15.17\ 5zm-3.612.03\ 4.329\ 4.327A4.83\ 4.83\ 0\ 0\ 0\ 8.648\ 5.03M7.227\ 8.411C7.17\ 8.595\ 7.08\ 9\ 7.08\ 9c-.045.273-.08.584-.08.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 11.83\ 15h3.34q.475\ 0\ .941-.094L14.205\ 13H12c-2.067-.006-3.51-2.051-2.82-4zm3.755\ 1.36A3\ 3\ 0\ 0\ 1\ 10.82\ 11h1.389z%22/%3E%3Cpath\ d=%22M1.22\ 0\ 0\ 1.22\ 18.8\ 20l1.2-1.22z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-unLink-destructive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ unlink\ %3C/title%3E%3Cg\ fill=%22%23d73333%22%3E%3Cpath\ d=%22M4.83\ 5A4.83\ 4.83\ 0\ 0\ 0\ 0\ 9.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 4.83\ 15h2.91a4.9\ 4.9\ 0\ 0\ 1-1.55-2H5c-4\ 0-4-6\ 0-6h3q.113.002.225.012L6.215\ 5zm7.43\ 0a4.9\ 4.9\ 0\ 0\ 1\ 1.55\ 2H15c3.179.003\ 4.17\ 4.3\ 1.314\ 5.695l1.508\ 1.508A4.83\ 4.83\ 0\ 0\ 0\ 20\ 10.17v-.34A4.83\ 4.83\ 0\ 0\ 0\ 15.17\ 5zm-3.612.03\ 4.329\ 4.327A4.83\ 4.83\ 0\ 0\ 0\ 8.648\ 5.03M7.227\ 8.411C7.17\ 8.595\ 7.08\ 9\ 7.08\ 9c-.045.273-.08.584-.08.83v.34A4.83\ 4.83\ 0\ 0\ 0\ 11.83\ 15h3.34q.475\ 0\ .941-.094L14.205\ 13H12c-2.067-.006-3.51-2.051-2.82-4zm3.755\ 1.36A3\ 3\ 0\ 0\ 1\ 10.82\ 11h1.389z%22/%3E%3Cpath\ d=%22M1.22\ 0\ 0\ 1.22\ 18.8\ 20l1.2-1.22z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-linkExternal:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ external\ link\ %3C/title%3E%3Cpath\ d=%22M19\ 1h-8l3.286\ 3.286L6\ 12l1.371\ 1.472\ 8.332-7.77.007.008L19\ 9zM2\ 5h4v2H3v10h10v-4.004h2V18a1\ 1\ 0\ 0\ 1-1\ 1H2a1\ 1\ 0\ 0\ 1-1-1V6a1\ 1\ 0\ 0\ 1\ 1-1%22/%3E%3C/svg%3E)}.mw-ui-icon-linkExternal-invert:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ external\ link\ %3C/title%3E%3Cg\ fill=%22%23fff%22%3E%3Cpath\ d=%22M19\ 1h-8l3.286\ 3.286L6\ 12l1.371\ 1.472\ 8.332-7.77.007.008L19\ 9zM2\ 5h4v2H3v10h10v-4.004h2V18a1\ 1\ 0\ 0\ 1-1\ 1H2a1\ 1\ 0\ 0\ 1-1-1V6a1\ 1\ 0\ 0\ 1\ 1-1%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-linkExternal-progressive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ external\ link\ %3C/title%3E%3Cg\ fill=%22%2336c%22%3E%3Cpath\ d=%22M19\ 1h-8l3.286\ 3.286L6\ 12l1.371\ 1.472\ 8.332-7.77.007.008L19\ 9zM2\ 5h4v2H3v10h10v-4.004h2V18a1\ 1\ 0\ 0\ 1-1\ 1H2a1\ 1\ 0\ 0\ 1-1-1V6a1\ 1\ 0\ 0\ 1\ 1-1%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-linkSecure:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ secure\ link\ %3C/title%3E%3Cpath\ d=%22M16.07\ 8H15V5s0-5-5-5-5\ 5-5\ 5v3H3.93A1.93\ 1.93\ 0\ 0\ 0\ 2\ 9.93v8.15A1.93\ 1.93\ 0\ 0\ 0\ 3.93\ 20h12.14A1.93\ 1.93\ 0\ 0\ 0\ 18\ 18.07V9.93A1.93\ 1.93\ 0\ 0\ 0\ 16.07\ 8M7\ 5.5C7\ 4\ 7\ 2\ 10\ 2s3\ 2\ 3\ 3.5V8H7zM10\ 16a2\ 2\ 0\ 1\ 1\ 2-2\ 2\ 2\ 0\ 0\ 1-2\ 2%22/%3E%3C/svg%3E)}.mw-ui-icon-linkSecure-invert:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ secure\ link\ %3C/title%3E%3Cg\ fill=%22%23fff%22%3E%3Cpath\ d=%22M16.07\ 8H15V5s0-5-5-5-5\ 5-5\ 5v3H3.93A1.93\ 1.93\ 0\ 0\ 0\ 2\ 9.93v8.15A1.93\ 1.93\ 0\ 0\ 0\ 3.93\ 20h12.14A1.93\ 1.93\ 0\ 0\ 0\ 18\ 18.07V9.93A1.93\ 1.93\ 0\ 0\ 0\ 16.07\ 8M7\ 5.5C7\ 4\ 7\ 2\ 10\ 2s3\ 2\ 3\ 3.5V8H7zM10\ 16a2\ 2\ 0\ 1\ 1\ 2-2\ 2\ 2\ 0\ 0\ 1-2\ 2%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-linkSecure-progressive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ secure\ link\ %3C/title%3E%3Cg\ fill=%22%2336c%22%3E%3Cpath\ d=%22M16.07\ 8H15V5s0-5-5-5-5\ 5-5\ 5v3H3.93A1.93\ 1.93\ 0\ 0\ 0\ 2\ 9.93v8.15A1.93\ 1.93\ 0\ 0\ 0\ 3.93\ 20h12.14A1.93\ 1.93\ 0\ 0\ 0\ 18\ 18.07V9.93A1.93\ 1.93\ 0\ 0\ 0\ 16.07\ 8M7\ 5.5C7\ 4\ 7\ 2\ 10\ 2s3\ 2\ 3\ 3.5V8H7zM10\ 16a2\ 2\ 0\ 1\ 1\ 2-2\ 2\ 2\ 0\ 0\ 1-2\ 2%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-redo:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ redo\ %3C/title%3E%3Cpath\ d=%22M19\ 8.5\ 12\ 3v11zM12\ 7v3h-1c-4\ 0-7\ 2-7\ 6v1H1v-1c0-6\ 5-9\ 10-9z%22/%3E%3C/svg%3E)}.mw-ui-icon-redo-invert:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ redo\ %3C/title%3E%3Cg\ fill=%22%23fff%22%3E%3Cpath\ d=%22M19\ 8.5\ 12\ 3v11zM12\ 7v3h-1c-4\ 0-7\ 2-7\ 6v1H1v-1c0-6\ 5-9\ 10-9z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-redo-progressive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ redo\ %3C/title%3E%3Cg\ fill=%22%2336c%22%3E%3Cpath\ d=%22M19\ 8.5\ 12\ 3v11zM12\ 7v3h-1c-4\ 0-7\ 2-7\ 6v1H1v-1c0-6\ 5-9\ 10-9z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-undo:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ undo\ %3C/title%3E%3Cpath\ d=%22M1\ 8.5\ 8\ 14v-4h1c4\ 0\ 7\ 2\ 7\ 6v1h3v-1c0-6-5-9-10-9H8V3z%22/%3E%3C/svg%3E)}.mw-ui-icon-undo-invert:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ undo\ %3C/title%3E%3Cg\ fill=%22%23fff%22%3E%3Cpath\ d=%22M1\ 8.5\ 8\ 14v-4h1c4\ 0\ 7\ 2\ 7\ 6v1h3v-1c0-6-5-9-10-9H8V3z%22/%3E%3C/g%3E%3C/svg%3E)}.mw-ui-icon-undo-progressive:before{background-image:url(data:image/svg+xml,%3Csvg\ xmlns=%22http://www.w3.org/2000/svg%22\ width=%2220%22\ height=%2220%22\ viewBox=%220\ 0\ 20\ 20%22%3E%3Ctitle%3E\ undo\ %3C/title%3E%3Cg\ fill=%22%2336c%22%3E%3Cpath\ d=%22M1\ 8.5\ 8\ 14v-4h1c4\ 0\ 7\ 2\ 7\ 6v1h3v-1c0-6-5-9-10-9H8V3z%22/%3E%3C/g%3E%3C/svg%3E)}</style><style>.cite-accessibility-label{top:-99999px;clip:rect(1px,1px,1px,1px);position:absolute!important;padding:0!important;border:0!important;height:1px!important;width:1px!important;overflow:hidden}:target .mw-cite-targeted-backlink{font-weight:bold}:target .mw-cite-up-arrow-backlink{display:inline}:target .mw-cite-up-arrow{display:none}.rt-overlay{position:absolute;width:100%;font-size:calc(var(--font-size-medium,1rem)*(13/14));line-height:1.5em;z-index:800;top:0}.rt-tail:after{position:absolute;z-index:-1;width:var(--tail-side-width);height:var(--tail-side-width)}.rt-tail:after{content:"";background:var(--background-color-base,#fff);bottom:1px;left:1px}.rt-settingsLink:hover,.rt-settingsLink:active{background-color:var(--background-color-interactive,#eaecf0)}.rt-settingsLink:active{border-color:var(--border-color-interactive,#72777d)}.rt-settingsLink:focus{outline:1px solid transparent}.rt-settingsLink:focus:not(:active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}@keyframes rt-fade-in-up{0%{opacity:0;transform:translate(0,20px)}100%{opacity:1;transform:translate(0,0)}}@keyframes rt-fade-in-down{0%{opacity:0;transform:translate(0,-20px)}100%{opacity:1;transform:translate(0,0)}}@keyframes rt-fade-out-down{0%{opacity:1;transform:translate(0,0)}100%{opacity:0;transform:translate(0,20px)}}@keyframes rt-fade-out-up{0%{opacity:1;transform:translate(0,0)}100%{opacity:0;transform:translate(0,-20px)}}.mw-collapsible-toggle{-webkit-user-select:none;-moz-user-select:none;user-select:none}.mw-collapsible-toggle-default{-webkit-appearance:none;-moz-appearance:none;appearance:none;background:none;margin:0;padding:0;border:0;font:inherit}.mw-collapsible-toggle-default .mw-collapsible-text{color:var(--color-progressive,#36c);border-radius:2px;text-decoration:none}.mw-collapsible-toggle-default .mw-collapsible-text:visited{color:var(--color-visited,#6a60b0)}.mw-collapsible-toggle-default .mw-collapsible-text:visited:hover{color:var(--color-visited--hover,#534fa3)}.mw-collapsible-toggle-default .mw-collapsible-text:visited:active{color:var(--color-visited--active,#353262)}.mw-collapsible-toggle-default .mw-collapsible-text:hover{color:var(--color-progressive--hover,#3056a9);text-decoration:underline}.mw-collapsible-toggle-default .mw-collapsible-text:active{color:var(--color-progressive--active,#233566);text-decoration:underline}.mw-collapsible-toggle-default .mw-collapsible-text:focus-visible{outline:solid 2px var(--outline-color-progressive--focus,#36c)}@supports not selector(:focus-visible){.mw-collapsible-toggle-default .mw-collapsible-text:focus{outline:solid 2px var(--outline-color-progressive--focus,#36c)}}.mw-collapsible-toggle-default::before{content:"["}.mw-collapsible-toggle-default::after{content:"]"}.mw-collapsible-toggle{cursor:pointer}.mw-collapsible [hidden="until-found"]{display:block;position:absolute;width:0!important;height:0!important;overflow:hidden!important;padding:0!important;margin:0!important;border:0!important}@keyframes centralAuthPPersonalAnimation{0%{opacity:0;transform:translateY(-20px)}100%{opacity:1;transform:translateY(0)}}#mw-teleport-target{position:absolute;z-index:450}#mw-teleport-target{font-size:var(--font-size-small,0.875rem)}#vector-appearance form{font-size:0.875rem;padding:6px 0}@keyframes mwe-popups-fade-in-up{0%{opacity:0;transform:translate(0,20px)}100%{opacity:1;transform:translate(0,0)}}@keyframes mwe-popups-fade-in-down{0%{opacity:0;transform:translate(0,-20px)}100%{opacity:1;transform:translate(0,0)}}@keyframes mwe-popups-fade-out-down{0%{opacity:1;transform:translate(0,0)}100%{opacity:0;transform:translate(0,20px)}}@keyframes mwe-popups-fade-out-up{0%{opacity:1;transform:translate(0,0)}100%{opacity:0;transform:translate(0,-20px)}}#mwe-popups-settings main#mwe-popups-settings-form form label::before{top:0.78125em!important}.mwe-popups .mwe-popups-extract:hover{text-decoration:none;color:inherit}.mwe-popups .mwe-popups-extract::after{content:" ";position:absolute;bottom:0;width:25%;height:20px;background-color:transparent;pointer-events:none}.mwe-popups .mwe-popups-extract[dir="ltr"]::after{right:0;background-image:linear-gradient(to right,rgba(255,255,255,0),#ffffff 50%)}.mwe-popups .mwe-popups-extract[dir="rtl"]::after{left:0;background-image:linear-gradient(to left,rgba(255,255,255,0),#ffffff 50%)}.mwe-popups.mwe-popups-no-image-pointer::before{content:"";position:absolute;border:8px solid var(--border-color-transparent,transparent);border-top:0;border-bottom:8px solid rgba(0,0,0,0.07000000000000001);top:-8px;left:10px}.mwe-popups.mwe-popups-no-image-pointer::after{content:"";position:absolute;border:11px solid var(--border-color-transparent,transparent);border-top:0;border-bottom:11px solid var(--background-color-base,#fff);top:-7px;left:7px}.mwe-popups.flipped-x.mwe-popups-no-image-pointer::before{left:auto;right:10px}.mwe-popups.flipped-x.mwe-popups-no-image-pointer::after{left:auto;right:7px}.mwe-popups.mwe-popups-image-pointer::before{content:"";position:absolute;border:9px solid var(--border-color-transparent,transparent);border-top:0;border-bottom:9px solid var(--border-color-base,#a2a9b1);top:-9px;left:9px;z-index:111}.mwe-popups.mwe-popups-image-pointer::after{content:"";position:absolute;border:12px solid var(--border-color-transparent,transparent);border-top:0;border-bottom:12px solid var(--background-color-base,#fff);top:-8px;left:6px;z-index:112}.mwe-popups.mwe-popups-image-pointer.flipped-x::before{content:"";position:absolute;border:9px solid var(--border-color-transparent,transparent);border-top:0;border-bottom:9px solid var(--border-color-base,#a2a9b1);top:-9px;left:293px}.mwe-popups.mwe-popups-image-pointer.flipped-x::after{content:"";position:absolute;border:12px solid var(--border-color-transparent,transparent);border-top:0;border-bottom:12px solid var(--background-color-base,#fff);top:-8px;left:290px}.mwe-popups.flipped-x.mwe-popups-is-tall::before{content:"";position:absolute;border:9px solid var(--border-color-transparent,transparent);border-top:0;border-bottom:9px solid var(--border-color-base,#a2a9b1);top:-9px;left:420px;z-index:111}.mwe-popups.flipped-x-y::before{content:"";position:absolute;border:9px solid var(--border-color-transparent,transparent);border-bottom:0;border-top:9px solid var(--border-color-base,#a2a9b1);bottom:-9px;left:293px;z-index:111}.mwe-popups.flipped-x-y::after{content:"";position:absolute;border:12px solid var(--border-color-transparent,transparent);border-bottom:0;border-top:12px solid var(--background-color-base,#fff);bottom:-8px;left:290px;z-index:112}.mwe-popups.flipped-x-y.mwe-popups-is-tall::before{content:"";position:absolute;border:9px solid var(--border-color-transparent,transparent);border-bottom:0;border-top:9px solid var(--border-color-base,#a2a9b1);bottom:-9px;left:420px}.mwe-popups.flipped-x-y.mwe-popups-is-tall::after{content:"";position:absolute;border:12px solid var(--border-color-transparent,transparent);border-bottom:0;border-top:12px solid var(--background-color-base,#fff);bottom:-8px;left:417px}.mwe-popups.flipped-y::before{content:"";position:absolute;border:8px solid var(--border-color-transparent,transparent);border-bottom:0;border-top:8px solid var(--border-color-base,#a2a9b1);bottom:-8px;left:10px}.mwe-popups.flipped-y::after{content:"";position:absolute;border:11px solid var(--border-color-transparent,transparent);border-bottom:0;border-top:11px solid var(--background-color-base,#fff);bottom:-7px;left:7px}@supports (clip-path:polygon(1px 1px)){.mwe-popups::before{display:none}.mwe-popups::after{display:none}}@media screen{html.skin-theme-clientpref-night .mwe-popups.mwe-popups-no-image-pointer::before{content:"";position:absolute;border:8px solid var(--border-color-transparent,transparent);border-top:0;border-bottom:8px solid rgba(255,255,255,0.07000000000000001);top:-8px;left:10px}html.skin-theme-clientpref-night .mwe-popups-extract[dir="ltr"]::after{background-image:linear-gradient(to right,transparent,var(--background-color-base,#fff) 50%)}html.skin-theme-clientpref-night .mwe-popups-extract[dir="rtl"]::after{background-image:linear-gradient(to left,transparent,var(--background-color-base,#fff) 50%)}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mwe-popups.mwe-popups-no-image-pointer::before{content:"";position:absolute;border:8px solid var(--border-color-transparent,transparent);border-top:0;border-bottom:8px solid rgba(255,255,255,0.07000000000000001);top:-8px;left:10px}html.skin-theme-clientpref-os .mwe-popups-extract[dir="ltr"]::after{background-image:linear-gradient(to right,transparent,var(--background-color-base,#fff) 50%)}html.skin-theme-clientpref-os .mwe-popups-extract[dir="rtl"]::after{background-image:linear-gradient(to left,transparent,var(--background-color-base,#fff) 50%)}}.mwe-popups.mwe-popups-type-generic .mwe-popups-extract:hover+footer .mwe-popups-read-link,.mwe-popups.mwe-popups-type-disambiguation .mwe-popups-extract:hover+footer .mwe-popups-read-link,.mwe-popups.mwe-popups-type-generic .mwe-popups-read-link:hover,.mwe-popups.mwe-popups-type-disambiguation .mwe-popups-read-link:hover{text-decoration:underline}.cdx-button::-moz-focus-inner{border:0;padding:0}.cdx-button:enabled:hover,.cdx-button.cdx-button--fake-button--enabled:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);border-color:var(--border-color-interactive--hover,#27292d);cursor:pointer}.cdx-button:enabled:active,.cdx-button.cdx-button--fake-button--enabled:active{background-color:var(--background-color-interactive-subtle--active,#dadde3);border-color:var(--border-color-interactive--active,#202122)}.cdx-button:enabled:focus,.cdx-button.cdx-button--fake-button--enabled:focus{outline:1px solid transparent}.cdx-button:enabled:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle--hover,#d9e2ff);color:var(--color-progressive--hover,#3056a9);border-color:var(--border-color-progressive--hover,#3056a9)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#3056a9)}}.cdx-button:enabled.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active{background-color:var(--background-color-progressive-subtle--active,#b6d4fb);color:var(--color-progressive--active,#233566);border-color:var(--border-color-progressive--active,#233566)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active .cdx-button__icon{background-color:var(--color-progressive--active,#233566)}}.cdx-button:enabled.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive-subtle--hover,#ffdad3);color:var(--color-destructive--hover,#9f3526);border-color:var(--border-color-destructive--hover,#9f3526)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#9f3526)}}.cdx-button:enabled.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active{background-color:var(--background-color-destructive-subtle--active,#ffc8bd);color:var(--color-destructive--active,#612419);border-color:var(--border-color-destructive--active,#612419)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active .cdx-button__icon{background-color:var(--color-destructive--active,#612419)}}.cdx-button:enabled.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive--hover,#3056a9)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:active{background-color:var(--background-color-progressive--active,#233566)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c),inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive--hover,#9f3526)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:active{background-color:var(--background-color-destructive--active,#612419)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c),inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.cdx-button:enabled.cdx-button--weight-quiet:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);mix-blend-mode:var(--mix-blend-mode-blend,multiply)}.cdx-button:enabled.cdx-button--weight-quiet:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:active{background-color:var(--background-color-interactive-subtle--active,#dadde3)}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle--hover,#d9e2ff);color:var(--color-progressive--hover,#3056a9);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#3056a9)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active{background-color:var(--background-color-progressive-subtle--active,#b6d4fb);color:var(--color-progressive--active,#233566);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon{background-color:var(--color-progressive--active,#233566)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive-subtle--hover,#ffdad3);color:var(--color-destructive--hover,#9f3526);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#9f3526)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active{background-color:var(--background-color-destructive-subtle--active,#ffc8bd);color:var(--color-destructive--active,#612419);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon{background-color:var(--color-destructive--active,#612419)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c)}.cdx-label{flex-direction:column;font-size:var(--font-size-medium,1rem);line-height:var(--line-height-small,1.375rem)}.cdx-label:not(.cdx-label--visually-hidden){padding-bottom:8px}@media screen and (min-width:640px){.cdx-label:not(.cdx-label--visually-hidden){padding-bottom:4px}}.cdx-checkbox__wrapper:hover>.cdx-checkbox__input:enabled,.cdx-checkbox__wrapper:hover>.cdx-checkbox__input:enabled~.cdx-label .cdx-label__label,.cdx-checkbox__wrapper:hover>.cdx-checkbox__input:enabled~.cdx-checkbox__label:not(.cdx-label){cursor:pointer}.cdx-checkbox__input:indeterminate+.cdx-checkbox__icon:before{content:" ";background-color:var(--background-color-base-fixed,#fff);position:absolute;top:calc(50% - .5px);right:3px;left:3px;height:2px}.cdx-checkbox__input:checked:not(:indeterminate)+.cdx-checkbox__icon:before{content:" ";display:block;width:.25rem;height:calc(100% - 6px);margin:0 auto 4px;border-right-width:2px;border-right-style:solid;border-bottom-width:2px;border-bottom-style:solid;transform:rotate(45deg)}.cdx-checkbox__input:enabled:hover+.cdx-checkbox__icon{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);border-color:var(--border-color-interactive--hover,#27292d)}.cdx-checkbox__input:enabled:focus:not(:active)+.cdx-checkbox__icon{border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c);outline:1px solid transparent}.cdx-checkbox__input:enabled:active+.cdx-checkbox__icon{background-color:var(--background-color-interactive-subtle--active,#dadde3);border-color:var(--border-color-interactive--active,#202122)}.cdx-checkbox__input:enabled:checked:hover+.cdx-checkbox__icon,.cdx-checkbox__input:enabled:indeterminate:hover+.cdx-checkbox__icon{background-color:var(--background-color-progressive--hover,#3056a9)}.cdx-checkbox__input:enabled:checked:focus:not(:active):not(:hover)+.cdx-checkbox__icon,.cdx-checkbox__input:enabled:indeterminate:focus:not(:active):not(:hover)+.cdx-checkbox__icon{background-color:var(--background-color-progressive,#36c)}.cdx-checkbox__input:enabled:checked:focus:not(:active)+.cdx-checkbox__icon,.cdx-checkbox__input:enabled:indeterminate:focus:not(:active)+.cdx-checkbox__icon{box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c),inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.cdx-checkbox__input:enabled:checked:active+.cdx-checkbox__icon,.cdx-checkbox__input:enabled:indeterminate:active+.cdx-checkbox__icon{background-color:var(--background-color-progressive--active,#233566)}.cdx-checkbox__input:enabled:checked:not(:indeterminate)+.cdx-checkbox__icon:before{border-color:var(--border-color-inverted-fixed,#fff)}.cdx-checkbox--status-error .cdx-checkbox__input:enabled:hover+.cdx-checkbox__icon{background-color:var(--background-color-error-subtle--hover,#ffdad3);border-color:var(--border-color-error--hover,#9f3526)}.cdx-checkbox--status-error .cdx-checkbox__input:enabled:focus+.cdx-checkbox__icon{border-color:var(--border-color-progressive--focus,#36c)}.cdx-checkbox--status-error .cdx-checkbox__input:enabled:active+.cdx-checkbox__icon{background-color:var(--background-color-error-subtle--active,#ffc8bd);border-color:var(--border-color-error--active,#612419)}.cdx-checkbox--status-error .cdx-checkbox__input:enabled:checked:hover+.cdx-checkbox__icon,.cdx-checkbox--status-error .cdx-checkbox__input:enabled:indeterminate:hover+.cdx-checkbox__icon{background-color:var(--background-color-error--hover,#d74032)}.cdx-checkbox--status-error .cdx-checkbox__input:enabled:checked:active+.cdx-checkbox__icon,.cdx-checkbox--status-error .cdx-checkbox__input:enabled:indeterminate:active+.cdx-checkbox__icon{background-color:var(--background-color-error--active,#bf3c2c)}.cdx-checkbox--status-error .cdx-checkbox__input:enabled:checked:focus:not(:active)+.cdx-checkbox__icon,.cdx-checkbox--status-error .cdx-checkbox__input:enabled:indeterminate:focus:not(:active)+.cdx-checkbox__icon{background-color:var(--background-color-error,#f54739);border-color:var(--border-color-progressive--focus,#36c)}.cdx-checkbox__input:disabled:checked:not(:indeterminate)+.cdx-checkbox__icon:before{border-right-color:var(--color-disabled,#a2a9b1);border-bottom-color:var(--color-disabled,#a2a9b1)}.cdx-checkbox__input:disabled:indeterminate+.cdx-checkbox__icon:before{background-color:var(--color-disabled-emphasized,#a2a9b1)}.ve-init-mw-tempWikitextEditorWidget:focus{outline:0;padding:0}.ve-init-mw-tempWikitextEditorWidget::selection{background:rgba(109,169,247,0.5)}.uls-menu.callout::before,.uls-menu.callout::after{border-top:10px solid var(--border-color-transparent,transparent);border-bottom:10px solid var(--border-color-transparent,transparent);display:inline-block;top:17px;position:absolute;content:""}.uls-menu.callout.selector-right::before{border-left:10px solid var(--border-color-subtle,#c8ccd1);right:-11px}.uls-menu.callout.selector-right::after{border-left:10px solid var(--border-color-inverted,#fff);right:-10px}.uls-menu.callout.selector-left::before{border-right:10px solid var(--border-color-subtle,#c8ccd1);left:-11px}.uls-menu.callout.selector-left::after{border-right:10px solid var(--border-color-inverted,#fff);left:-10px}.uls-icon-back:hover{opacity:1;cursor:pointer}.skin-vector .uls-search-wrapper:hover .uls-search-label{opacity:var(--opacity-icon-base,0.87)}#uls-settings-block.uls-settings-block--vector-2022.row::before,#uls-settings-block.uls-settings-block--vector-2022.row::after{content:none}#uls-settings-block:not(.uls-settings-block--vector-2022)>button:hover{color:#202122}.cdx-button{display:inline-flex;align-items:center;justify-content:center;gap:6px;box-sizing:border-box;min-height:32px;max-width:28rem;margin:0;border-width:1px;border-style:solid;border-radius:2px;padding-right:11px;padding-left:11px;font-family:inherit;font-size:var(--font-size-medium,1rem);font-weight:700;overflow:hidden;text-overflow:ellipsis;white-space:nowrap;text-transform:none;transition-property:background-color,color,border-color,box-shadow;transition-duration:.1s}.cdx-button--size-large{min-height:44px;padding-right:15px;padding-left:15px}.cdx-button--icon-only{min-width:32px;padding-right:0;padding-left:0}.cdx-button::-moz-focus-inner{border:0;padding:0}.cdx-button--fake-button,.cdx-button--fake-button:hover,.cdx-button--fake-button:focus{text-decoration:none}.cdx-button:enabled,.cdx-button.cdx-button--fake-button--enabled{background-color:var(--background-color-interactive-subtle,#f8f9fa);color:var(--color-base,#202122);border-color:var(--border-color-interactive,#72777d)}.cdx-button:enabled:hover,.cdx-button.cdx-button--fake-button--enabled:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);border-color:var(--border-color-interactive--hover,#27292d);cursor:pointer}.cdx-button:enabled:active,.cdx-button.cdx-button--fake-button--enabled:active{background-color:var(--background-color-interactive-subtle--active,#dadde3);border-color:var(--border-color-interactive--active,#202122)}.cdx-button:enabled:focus,.cdx-button.cdx-button--fake-button--enabled:focus{outline:1px solid transparent}.cdx-button:enabled:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle--hover,#d9e2ff);color:var(--color-progressive--hover,#3056a9);border-color:var(--border-color-progressive--hover,#3056a9)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#3056a9)}}.cdx-button:enabled.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active{background-color:var(--background-color-progressive-subtle--active,#b6d4fb);color:var(--color-progressive--active,#233566);border-color:var(--border-color-progressive--active,#233566)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-progressive:active .cdx-button__icon{background-color:var(--color-progressive--active,#233566)}}.cdx-button:enabled.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive-subtle--hover,#ffdad3);color:var(--color-destructive--hover,#9f3526);border-color:var(--border-color-destructive--hover,#9f3526)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#9f3526)}}.cdx-button:enabled.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active{background-color:var(--background-color-destructive-subtle--active,#ffc8bd);color:var(--color-destructive--active,#612419);border-color:var(--border-color-destructive--active,#612419)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:active .cdx-button__icon{background-color:var(--color-destructive--active,#612419)}}.cdx-button:enabled.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive--hover,#3056a9)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:active{background-color:var(--background-color-progressive--active,#233566)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c),inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive--hover,#9f3526)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:active{background-color:var(--background-color-destructive--active,#612419)}.cdx-button:enabled.cdx-button--weight-primary.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-primary.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c),inset 0 0 0 2px var(--box-shadow-color-inverted,#fff)}.cdx-button:enabled.cdx-button--weight-quiet,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet{background-color:var(--background-color-transparent,transparent);border-color:var(--border-color-transparent,transparent)}.cdx-button:enabled.cdx-button--weight-quiet:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:hover{background-color:var(--background-color-interactive-subtle--hover,#eaecf0);mix-blend-mode:var(--mix-blend-mode-blend,multiply)}.cdx-button:enabled.cdx-button--weight-quiet:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet:active{background-color:var(--background-color-interactive-subtle--active,#dadde3)}.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive{color:var(--color-progressive,#36c)}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover{background-color:var(--background-color-progressive-subtle--hover,#d9e2ff);color:var(--color-progressive--hover,#3056a9);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:hover .cdx-button__icon{background-color:var(--color-progressive--hover,#3056a9)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active{background-color:var(--background-color-progressive-subtle--active,#b6d4fb);color:var(--color-progressive--active,#233566);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:active .cdx-button__icon{background-color:var(--color-progressive--active,#233566)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-progressive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-progressive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-progressive--focus,#36c)}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover{background-color:var(--background-color-destructive-subtle--hover,#ffdad3);color:var(--color-destructive--hover,#9f3526);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:hover .cdx-button__icon{background-color:var(--color-destructive--hover,#9f3526)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active{background-color:var(--background-color-destructive-subtle--active,#ffc8bd);color:var(--color-destructive--active,#612419);border-color:var(--border-color-transparent,transparent)}@supports ((-webkit-mask-image:none) or (mask-image:none)){.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon,.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:active .cdx-button__icon{background-color:var(--color-destructive--active,#612419)}}.cdx-button:enabled.cdx-button--weight-quiet.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active),.cdx-button.cdx-button--fake-button--enabled.cdx-button--weight-quiet.cdx-button--action-destructive:focus:not(:active):not(.cdx-button--is-active){border-color:var(--border-color-destructive--focus,#36c);box-shadow:inset 0 0 0 1px var(--box-shadow-color-destructive--focus,#36c)}</style><style>.mw-ui-icon-wikimedia-expand{min-width:10px;min-height:10px;width:calc(var(--font-size-medium,1rem) - 4px);height:calc(var(--font-size-medium,1rem) - 4px);display:inline-block;vertical-align:text-bottom}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-ui-icon-wikimedia-expand{background-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);filter:invert(var(--filter-invert-icon,0));opacity:var(--opacity-icon-base,0.87)}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-ui-icon-wikimedia-expand{-webkit-mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);mask-image:url(data:image/svg+xml;utf8,<svg\ xmlns=\"http://www.w3.org/2000/svg\"\ width=\"20\"\ height=\"20\"\ viewBox=\"0\ 0\ 20\ 20\"\ fill=\"%23000\"><path\ d=\"m17.5\ 4.75-7.5\ 7.5-7.5-7.5L1\ 6.25l9\ 9\ 9-9z\"\/><\/svg>);background-color:var(--color-base,#202122)}}@supports not ((-webkit-mask-image:none) or (mask-image:none)){.mw-ui-icon-wikimedia-expand{background-position:center;background-repeat:no-repeat;background-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}@supports (-webkit-mask-image:none) or (mask-image:none){.mw-ui-icon-wikimedia-expand{-webkit-mask-position:center;mask-position:center;-webkit-mask-repeat:no-repeat;mask-repeat:no-repeat;-webkit-mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px));mask-size:calc(max(calc(var(--font-size-medium,1rem) - 4px),10px))}}.vector-sticky-header-container{position:fixed;top:0;left:0;right:0;z-index:3;transition:transform 250ms linear;transform:translateY(-100%);opacity:0}.client-js .mw-portlet-dock-bottom{display:block;position:fixed;bottom:8px;right:8px;z-index:1}.client-js .mw-portlet-dock-bottom ul{padding:0;list-style:none;display:flex;flex-direction:column-reverse;align-items:center;gap:8px 8px}.ve-activated .ve-init-mw-desktopArticleTarget-originalContent #catlinks:hover{background:rgba(109,169,247,0.15)}#mw-content-text .reference a[href*="#"] *{pointer-events:none}.mwe-popups.mwe-popups-type-reference .mwe-popups-container .mwe-popups-extract::after{display:none}</style><meta name=ResourceLoaderDynamicStyles content>
<style>.mw-body-content sub,.mw-body-content sup{font-size:80%}.references{margin-bottom:0.5em}span[rel="mw:referencedBy"]>a::before{content:counter(mw-ref-linkback,lower-alpha);font-size:80%;font-weight:bold;font-style:italic}a[rel="mw:referencedBy"]::before{font-weight:bold;content:"^"}span[rel="mw:referencedBy"]::before{content:"^ "}.mw-parser-output .mw-collapsible-toggle:not(.mw-ui-button){font-weight:normal;padding-right:0.2em;padding-left:0.2em}@media (min-width:640px){figure[typeof~="mw:File/Thumb"]{min-width:100px}}span.mwe-math-mathml-inline{font-size:118%}@media screen{#siteSub{display:block}.references{font-size:90%}}.infobox{border:1px solid #a2a9b1;color:black;padding:0.2em;font-size:88%;line-height:1.5em;border-spacing:3px;margin:0.5em 0}@media screen{.infobox{background-color:var(--background-color-neutral-subtle,#f8f9fa)}}@media (max-width:640px){.infobox{width:100%}}@media (min-width:640px){.infobox{margin-left:1em;float:right;clear:right;width:22em}}.infobox-label,.infobox-above,.infobox-data,.infobox th,.infobox td{vertical-align:top}.infobox-label,.infobox-data,.infobox th,.infobox td{text-align:left}.infobox .infobox-above{font-size:125%;font-weight:bold;text-align:center}.IPA a:link,.IPA a:visited{text-decoration:none!important}.nowrap,.nowraplinks a{white-space:nowrap}@media screen{.nochecker .gallerybox .thumb img{background-image:none}}@media screen{html.skin-theme-clientpref-night .navbox a:not(.new):not(.mw-selflink):link,html.skin-theme-clientpref-night .infobox a:not(.new):not(.mw-selflink):link{color:var(--color-progressive)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .navbox a:not(.new):not(.mw-selflink):link,html.skin-theme-clientpref-os .infobox a:not(.new):not(.mw-selflink):link{color:var(--color-progressive)!important}}</style>
<meta name=generator content="MediaWiki 1.46.0-wmf.7">
<meta name=robots content=max-image-preview:standard>
<meta name=format-detection content="telephone=no">
<meta name=viewport content="width=1120">
<meta property=og:title content="BERT (language model) - Wikipedia">
<meta property=og:type content=website>
<link rel=alternate type=application/x-wiki title="Edit this page" href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit">
<link rel=search type=application/opensearchdescription+xml href=https://en.wikipedia.org/w/rest.php/v1/search title="Wikipedia (en)">
<link rel=EditURI type=application/rsd+xml href="https://en.wikipedia.org/w/api.php?action=rsd">
<link rel=canonical href=https://en.wikipedia.org/wiki/BERT_(language_model)>
<link rel=license href=https://creativecommons.org/licenses/by-sa/4.0/deed.en>
<link rel=alternate type=application/atom+xml title="Wikipedia Atom feed" href="https://en.wikipedia.org/w/index.php?title=Special:RecentChanges&amp;feed=atom">
<meta property=mw:PageProp/toc><meta name=referrer content=no-referrer><link rel=icon href="data:image/vnd.microsoft.icon;base64,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"><style>.sf-hidden{display:none!important}</style><meta http-equiv=content-security-policy content="default-src 'none'; font-src 'self' data:; img-src 'self' data:; style-src 'unsafe-inline'; media-src 'self' data:; script-src 'unsafe-inline' data:; object-src 'self' data:; frame-src 'self' data:;"></head>
<body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-BERT_language_model rootpage-BERT_language_model skin-vector-2022 action-view uls-dialog-sticky-hide vector-below-page-title">
<div id=mw-aria-live-region class=mw-aria-live-region aria-live=polite></div><a class=mw-jump-link href=#bodyContent>Jump to content</a>
<div class=vector-header-container>
<header class="vector-header mw-header no-font-mode-scale">
<div class=vector-header-start>
<nav class=vector-main-menu-landmark aria-label=Site>
<div id=vector-main-menu-dropdown class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" title="Main menu">
<input type=checkbox id=vector-main-menu-dropdown-checkbox role=button aria-haspopup=true data-event-name=ui.dropdown-vector-main-menu-dropdown class=vector-dropdown-checkbox aria-label="Main menu" value=on>
<label id=vector-main-menu-dropdown-label for=vector-main-menu-dropdown-checkbox class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" aria-hidden=true><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span>
<span class=vector-dropdown-label-text>Main menu</span>
</label>
<div class=vector-dropdown-content>
<div id=vector-main-menu-unpinned-container class=vector-unpinned-container>
<div id=vector-main-menu class="vector-main-menu vector-pinnable-element">
<div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name=main-menu-pinned data-pinnable-element-id=vector-main-menu data-pinned-container-id=vector-main-menu-pinned-container data-unpinned-container-id=vector-main-menu-unpinned-container data-saved-pinned-state=false>
<div class=vector-pinnable-header-label>Main menu</div>
<button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name=pinnable-header.vector-main-menu.pin>move to sidebar</button>
<button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button sf-hidden" data-event-name=pinnable-header.vector-main-menu.unpin>hide</button>
</div>
<div id=p-navigation class="vector-menu mw-portlet mw-portlet-navigation">
<div class="vector-menu-heading sf-hidden">
Navigation
</div>
<div class=vector-menu-content>
<ul class=vector-menu-content-list>
<li id=n-mainpage-description class=mw-list-item><a href=https://en.wikipedia.org/wiki/Main_Page title="Visit the main page [Alt+Shift+z]" accesskey=z><span>Main page</span></a><li id=n-contents class=mw-list-item><a href=https://en.wikipedia.org/wiki/Wikipedia:Contents title="Guides to browsing Wikipedia"><span>Contents</span></a><li id=n-currentevents class=mw-list-item><a href=https://en.wikipedia.org/wiki/Portal:Current_events title="Articles related to current events"><span>Current events</span></a><li id=n-randompage class=mw-list-item><a href=https://en.wikipedia.org/wiki/Special:Random title="Visit a randomly selected article [Alt+Shift+x]" accesskey=x><span>Random article</span></a><li id=n-aboutsite class=mw-list-item><a href=https://en.wikipedia.org/wiki/Wikipedia:About title="Learn about Wikipedia and how it works"><span>About Wikipedia</span></a><li id=n-contactpage class=mw-list-item><a href=https://en.wikipedia.org/wiki/Wikipedia:Contact_us title="How to contact Wikipedia"><span>Contact us</span></a></li>
</ul>
</div>
</div>
<div id=p-interaction class="vector-menu mw-portlet mw-portlet-interaction">
<div class=vector-menu-heading>
Contribute
</div>
<div class=vector-menu-content>
<ul class=vector-menu-content-list>
<li id=n-help class=mw-list-item><a href=https://en.wikipedia.org/wiki/Help:Contents title="Guidance on how to use and edit Wikipedia"><span>Help</span></a><li id=n-introduction class=mw-list-item><a href=https://en.wikipedia.org/wiki/Help:Introduction title="Learn how to edit Wikipedia"><span>Learn to edit</span></a><li id=n-portal class=mw-list-item><a href=https://en.wikipedia.org/wiki/Wikipedia:Community_portal title="The hub for editors"><span>Community portal</span></a><li id=n-recentchanges class=mw-list-item><a href=https://en.wikipedia.org/wiki/Special:RecentChanges title="A list of recent changes to Wikipedia [Alt+Shift+r]" accesskey=r><span>Recent changes</span></a><li id=n-upload class=mw-list-item><a href=https://en.wikipedia.org/wiki/Wikipedia:File_upload_wizard title="Add images or other media for use on Wikipedia"><span>Upload file</span></a><li id=n-specialpages class=mw-list-item><a href=https://en.wikipedia.org/wiki/Special:SpecialPages><span>Special pages</span></a></li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</nav>
<a href=https://en.wikipedia.org/wiki/Main_Page class=mw-logo>
<img class=mw-logo-icon src="data:image/png;base64,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" alt aria-hidden=true height=50 width=50>
<span class="mw-logo-container skin-invert">
<img class=mw-logo-wordmark alt=Wikipedia src="data:image/svg+xml;base64,<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 120 18"><path fill="#000" fill-rule="nonzero" d="m18.339 0 .199.001h.375l.174.001h.315l.138.001.323.001H20.034l.058.053v.5c0 .139-.078.208-.231.208-.753.035-.908.11-1.184.507-.15.216-.447.68-.755 1.204L15.28 7.419l-.074.154 3.23 6.611.196.054 5.088-12.076c.177-.487.15-.832-.078-1.035-.228-.197-.389-.315-.978-.34l-.477-.023a.275.275 0 0 1-.168-.061.174.174 0 0 1-.08-.147V.054l.073-.052h5.749l.058.052v.502c0 .136-.078.205-.231.205-.753.034-1.31.197-1.673.489-.362.294-.645.698-.848 1.225 0 0-1.53 3.5-3.137 7.159l-.268.61c-1.12 2.55-2.24 5.09-2.876 6.501-.613 1.17-1.22 1.06-1.745-.033-.411-.847-1.1-2.33-1.8-3.86l-.469-1.024c-.273-.6-.54-1.19-.786-1.727-1.08 2.23-2.56 5.26-3.3 6.624-.715 1.24-1.3 1.08-1.771.032-1.63-3.84-4.97-10.6-6.539-14.35-.29-.697-.51-1.14-.716-1.32C1.45.914 1.019.808.36.774.121.747.001.688 0 .593V.067L.058.016.592.014H1.6l.969-.001h.253l1.734.001h.225l.95.001h.577l.058.052v.5c0 .139-.087.206-.26.206L5.454.8c-.56.023-.84.191-.84.5 0 .145.06.38.19.696 1.25 3.05 5.58 12.2 5.576 12.169l.158.04 2.787-5.56c-.34-.751-.558-1.23-.558-1.234l-1.916-3.765s-.37-.753-.497-1.004C9.512.972 9.53.882 8.68.772c-.238-.031-.361-.061-.362-.18V.065L8.39.013h.702L10.58.01h2.77l.131.043V.58c0 .12-.086.182-.26.182l-.36.052c-.909.07-.76.442-.156 1.644l1.838 3.76 2.034-4.055c.318-.693.278-.9.157-1.064l-.027-.035c-.081-.096-.351-.251-.94-.275l-.231-.025a.276.276 0 0 1-.167-.06.172.172 0 0 1-.079-.147v-.5l.072-.052L16.24 0zm10.464 5.318h.118c.71 0 2.73-.053 2.73-.053l.027.053v.577c0 .08-.053.131-.158.132l-.551.053c-.814.078-1.1.29-1.103.815v8.74c0 .578.262.92 1.103.998l.551.054c.079 0 .157.051.158.156v.552l-.027.053s-1.99-.053-2.808-.053c-.735 0-2.78.053-2.783.053l-.052-.053v-.552c0-.105.078-.156.184-.156l.525-.054c.866-.078 1.13-.499 1.128-.997V6.895c0-.575-.316-.736-1.128-.813l-.525-.054c-.105 0-.184-.024-.184-.105v-.605l.026-.053s1.89.048 2.769.053zm8.81 10.318c0 .577.341.866 1.103.997l.288.054c.079.025.157.051.158.156v.551l-.027.054s-1.65-.054-2.44-.054c-.736 0-2.89.054-2.888.054l-.053-.054v-.55c0-.106.08-.157.184-.157l.525-.054c.787-.079 1.13-.499 1.129-.997V6.895c0-.575-.29-.736-1.129-.813l-.525-.055c-.105 0-.184-.024-.184-.105v-.604l.027-.053s2.15.053 2.966.053c.736 0 2.39-.053 2.389-.053l.026.053v.577c0 .079-.053.105-.158.131l-.288.054c-.814.156-1.1.289-1.103.815v3.964c.866 0 1.36-.444 2.52-1.68 1.05-1.16 1.86-2.12 1.864-2.626 0-.21-.236-.445-.762-.526-.105-.024-.157-.052-.157-.13V5.29l.026-.024s2.13.053 2.888.053c.682 0 1.84-.053 1.837-.053l.079.024v.606c0 .079-.079.131-.21.131-1.02.08-1.73.131-2.678 1.208l-2.257 2.597c-.446.475-.604.76-.604.972 0 .157.105.288.237.445l3.963 4.778c.315.366.945.525 1.47.628l.131.026c.08.025.184.077.184.156v.551l-.079.027s-1.39-.026-2.126-.027c-.656 0-1.6.027-1.6.027l-.027-.027v-.315c0-.342-.026-.629-.394-1.049l-2.914-3.623c-.394-.526-.814-.655-1.39-.655v3.89zm14.151 0c0 .577.262.919 1.102.997l.552.054c.078 0 .157.051.157.156v.551l-.026.054s-1.99-.054-2.809-.054c-.735 0-2.78.054-2.782.054l-.053-.054v-.55c0-.106.08-.157.184-.157l.525-.054c.866-.079 1.13-.499 1.129-.997V6.895c0-.575-.315-.736-1.129-.813l-.525-.055c-.105 0-.184-.024-.184-.105v-.604l.027-.053s2.07.053 2.887.053c.709 0 2.73-.053 2.73-.053l.026.053v.577c0 .079-.052.131-.157.131l-.552.054c-.814.078-1.1.289-1.102.815v8.74zm5.672-8.69c0-.814-.341-.84-1.575-.919-.157 0-.184-.077-.184-.13v-.605l.053-.026c.394 0 1.94.053 2.703.053.735 0 1.78-.053 2.757-.053 3.73 0 4.41 1.84 4.407 3.203 0 1.58-.76 4.04-4.486 4.043-.656 0-1.18-.054-1.655-.263v3.516c0 .576.315.71 1.156.84l.526.079c.105.025.185.053.185.156v.551l-.024.054s-2.1-.054-2.915-.054c-.735 0-2.7.054-2.704.054l-.026-.054v-.551c0-.105.053-.131.158-.156l.55-.08c.815-.104 1.08-.34 1.077-.84l-.003-8.818zm2.021 4.568c.525.211 1.18.236 1.706.237 1.58 0 2.33-.947 2.335-2.967 0-2.26-1.02-2.76-2.466-2.756-1.26 0-1.58.236-1.576.919l.001 4.567zm10.661 5.88c-.787 0-2.6.054-2.598.054l-.027-.054v-.577c0-.052.027-.13.158-.13l.605-.054c.815-.079 1.05-.604 1.051-1.128V6.843c0-.606-.315-.71-1.05-.761l-.606-.055c-.157-.024-.157-.077-.158-.105v-.604l.027-.053s2.05.053 2.834.053h3.859c.787 0 2.65-.053 2.652-.053l.055.053c.024 1.13.208 2.15.393 3.15l-.654.105c-.288-.972-.786-2.36-2.466-2.362h-2.1c-.5 0-.761.184-.761.63v3.806h1.967c.736 0 .92-.315 1.025-.84l.157-.55c0-.08.053-.133.157-.133h.444c.055 0 .055.027.055.079-.055.576-.157 1.31-.158 1.943 0 .655.105 1.21.158 1.811l-.055.054h-.444c-.13 0-.186-.054-.186-.133l-.13-.576c-.106-.526-.342-.815-1.028-.815h-1.966v4.017c0 .497.286.995.76.996h2.495c1.34 0 2.08-.84 2.388-2.207l.654.079-.526 3.017-.052.053s-1.55-.053-2.336-.053l-4.593.005zm9.872-.707.604-.054c.788-.079 1.05-.315 1.05-1.128V6.843c0-.685-.185-.685-1.05-.761l-.576-.055c-.105 0-.186-.052-.186-.13v-.578l.026-.053s2.31.053 2.784.053c.497 0 2.78-.053 3.465-.053 4.38 0 6.54 2.73 6.537 6.221 0 4.59-3.26 5.96-6.167 5.958-2.1 0-3.02-.054-3.832-.054-.788 0-2.78.054-2.784.054l-.026-.054v-.55a.147.147 0 0 1 .155-.154zm5.855 0c2.89 0 4.52-1.07 4.515-4.752 0-2.73-.605-5.91-5.014-5.908-1.02 0-1.68.157-1.68.816v8.662c0 .733.183 1.18 2.179 1.182zm12.996-1.051c0 .577.262.919 1.102.997l.551.054c.079 0 .157.051.158.156v.551l-.027.054s-1.99-.054-2.807-.054c-.736 0-2.78.054-2.783.054l-.053-.054v-.55c0-.106.079-.157.184-.157l.526-.054c.865-.079 1.13-.499 1.128-.997V6.895c0-.575-.316-.736-1.128-.813l-.526-.055c-.105 0-.184-.024-.184-.105v-.604l.026-.053s2.07.053 2.886.053c.708 0 2.73-.053 2.73-.053l.025.053v.577c0 .079-.055.131-.158.131l-.551.054c-.815.078-1.1.289-1.103.815l.003 8.74zm8.086.997.762.054c.105 0 .21.078.21.209v.498l-.053.054s-2.86-.054-3.491-.054c-.683 0-2.36.054-2.364.054l-.053-.054v-.498c0-.13.079-.21.21-.21 1.16-.078 1.81-.29 2.546-1.97l5.826-13.65c.288-.682.5-.946.895-.946.365 0 .498.264.707.788l5.38 14.227c.37 1.02.895 1.42 1.945 1.523l.288.025c.132 0 .264.078.263.211v.497l-.078.053s-2.02-.053-3.046-.053c-.92 0-3.49.053-3.492.053l-.025-.053v-.497c0-.133.053-.21.187-.21l.735-.054c.996-.078 1.37-.395 1.103-1.128l-1.602-4.438h-5.461c-.63 0-.787.105-.918.444l-1.524 3.807c-.262.66.079 1.24 1.05 1.318zm6.431-6.67-2.546-7.007h-.052l-2.625 6.667c-.105.265.078.341.655.342h4.568v-.001z"/></svg>" style=width:7.5em;height:1.125em>
<img class=mw-logo-tagline alt="The Free Encyclopedia" src=data:image/svg+xml;base64,<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 117 13"><path d="M89.777 3.326c.104 0 .17.039.17.092 0 0-.055.363-.055.832 0 .093.076.081.117.039.584-.594 1.3-.921 1.781-.921 1.33 0 2.3 1.27 2.301 2.651 0 1.05-.352 1.86-.963 2.457-.533.509-1.18.729-1.91.729-.41 0-.812-.072-1.131-.201-.133-.055-.182-.071-.182.098v1.403c0 1.08.143 1.13 1.064 1.185.078.077.078.352 0 .428-.558-.011-.96-.025-1.572-.025-.572 0-.91.014-1.455.025-.078-.078-.078-.353 0-.431.793-.038.936-.104.936-1.184V4.951c0-.74-.143-.818-.846-.885-.025-.078-.053-.285-.025-.363.896-.116 1.4-.233 1.77-.377zm-17.266.144c.078.078.078.353 0 .431-.479.039-.869.455-1.053.832-.688 1.46-1.26 2.8-2.301 5.305-.16.385-.33.757-.533 1.117-.467.834-.989.938-1.26.938-.352 0-.611-.209-.611-.48 0-.17.195-.561.572-.561.143 0 .193.039.377.039.324 0 .506-.116.648-.377.195-.402.354-.762.508-1.195.131-.363-.068-.961-.182-1.223l-1.473-3.419c-.354-.828-.459-.923-1.023-.976-.078-.078-.078-.353 0-.431.26.015.609.024 1.053.024.469 0 .988-.012 1.469-.024.078.078.078.353 0 .431-.797.062-.66.297-.426.846l1.152 2.703c.109.259.221.224.311.014l1.291-2.977c.203-.473-.215-.547-.625-.586-.078-.078-.078-.353 0-.431.48.015.729.024 1.184.024.363 0 .6-.012.922-.024zM105.829.002c.117 0 .17.039.17.13 0 0-.046.448-.052 1.189l-.001 6.065c0 .639.117.885.949.949.078.078.078.273 0 .352-.793.092-1.38.285-1.664.521a.492.492 0 0 1-.299 0s.014-.639.014-.768c0-.092-.094-.067-.156-.019-.637.526-1.12.785-1.625.785-1.4 0-2.21-1.17-2.211-2.771 0-.963.338-1.73.898-2.286.52-.494 1.09-.781 1.949-.781.43 0 .963.222 1.014.222.092 0 .117-.026.117-.117V1.809c0-1.09-.156-1.03-.832-1.065-.078-.076-.104-.284-.078-.391.52-.039 1.48-.221 1.807-.351zm7.457 3.372c.949 0 1.96.352 1.965 2.197v1.938c0 .6.014 1.1.52 1.105.273 0 .328-.209.404-.209.051 0 .168.131.168.222 0 .063-.467.585-1.104.585-.694 0-.924-.48-1.002-.754h-.024l-.001-.005-.258.206c-.572.441-.82.547-1.418.547-.91 0-1.64-.377-1.639-1.404 0-.884.898-1.57 2.146-1.885l1.115-.273c.039-.013.078-.064.078-.154 0-1.47-.609-1.69-1.055-1.689-.492 0-1.08.145-1.078.546 0 .146.014.224.025.263a.593.593 0 0 1 .039.231c0 .169-.195.429-.572.429-.299 0-.455-.143-.455-.455 0-.699 1.08-1.44 2.146-1.441zm-15.579.018c1.81 0 2.2 1.17 2.197 2.265 0 .143-.09.221-.246.221l-3.459-.025c0 .754.154 1.35.416 1.78.402.663.949.937 1.418.937.754 0 1.13-.207 1.609-.701.156.011.234.078.273.206-.52.676-1.22 1.13-2.211 1.131-.936 0-1.55-.312-1.988-.832-.43-.494-.609-1.2-.609-1.924 0-1.98 1.47-3.06 2.6-3.058zm-13.081-.024c2.02 0 2.73 1.57 2.73 2.926 0 1.3-.818 2.91-2.756 2.912-1.83 0-2.73-1.47-2.73-2.795 0-1.65 1-3.04 2.756-3.043zm-49.254.024c1.81 0 2.2 1.17 2.197 2.265 0 .143-.091.221-.247.221l-3.458-.025c0 .754.156 1.35.416 1.78.403.663.949.937 1.417.937.754 0 1.13-.207 1.612-.701.156.011.234.078.273.206-.52.676-1.22 1.13-2.21 1.131-.936 0-1.55-.312-1.989-.832-.429-.494-.611-1.2-.611-1.924 0-1.98 1.47-3.06 2.6-3.058zm5.85 0c1.81 0 2.2 1.17 2.197 2.265 0 .143-.091.221-.247.221l-3.458-.025c0 .754.156 1.35.416 1.78.403.663.949.937 1.417.937.754 0 1.13-.207 1.612-.701.156.011.234.078.273.206-.52.676-1.22 1.13-2.21 1.131-.936 0-1.55-.312-1.989-.832-.429-.494-.611-1.2-.611-1.924 0-1.98 1.47-3.06 2.6-3.058zm-25.009 0c1.81 0 2.2 1.17 2.197 2.265 0 .143-.091.221-.247.221l-3.458-.025c0 .754.156 1.35.416 1.78.403.663.949.937 1.417.937.754 0 1.13-.207 1.612-.701.156.011.234.078.273.206-.52.676-1.22 1.13-2.21 1.131-.936 0-1.55-.312-1.989-.832-.429-.494-.611-1.2-.611-1.924 0-1.98 1.47-3.06 2.6-3.058zm47.407-.024c1.25 0 1.99.521 1.988 1.234 0 .402-.363.571-.637.571s-.453-.117-.494-.468c-.053-.455-.156-.91-.924-.91-.857 0-1.48.857-1.482 2.288 0 1.52.795 2.48 1.742 2.481.561 0 1.12-.285 1.561-.856.117.013.221.063.273.183-.65 1.07-1.34 1.32-2.119 1.315-1.64 0-2.57-1.16-2.574-2.834 0-1.85 1.38-3 2.666-3.004zm12.037 0c1.25 0 1.99.521 1.988 1.234 0 .402-.363.571-.637.571-.271 0-.453-.117-.494-.468-.051-.455-.154-.91-.922-.91-.859 0-1.48.857-1.482 2.288 0 1.52.793 2.48 1.742 2.481.559 0 1.12-.285 1.561-.856.117.013.221.063.271.183-.648 1.07-1.34 1.32-2.119 1.315-1.64 0-2.57-1.16-2.572-2.834 0-1.85 1.38-3 2.664-3.004zm-45.836-.035c.104 0 .169.038.169.091 0 0-.065.624-.065 1.04 0 .063.039.13.117-.015.299-.506.832-1.08 1.443-1.078.546 0 .78.375.78.623 0 .326-.299.649-.611.649-.273 0-.403-.247-.533-.377-.078-.077-.182-.091-.273-.091-.156 0-.455.43-.598.637-.156.234-.312.533-.312.871v1.809c0 1.08.156 1.12 1.066 1.184.078.078.078.354 0 .43a60.72 60.72 0 0 0-1.573-.025c-.52 0-.936.014-1.482.025-.078-.076-.078-.352 0-.43.806-.053.962-.104.962-1.184V4.958c0-.719-.143-.822-.845-.886-.052-.078-.052-.285-.026-.362.897-.117 1.42-.234 1.781-.377zM80.104.002c.115 0 .168.039.168.13 0 0-.046.448-.052 1.189l-.001 6.168c0 1.08.145 1.14.938 1.184.078.078.078.352 0 .43-.561-.014-.885-.025-1.443-.025-.572 0-.91.014-1.457.025-.078-.078-.078-.352 0-.43.793-.039.938-.104.938-1.184l-.001-5.68c0-1.09-.156-1.03-.832-1.065-.078-.076-.105-.284-.078-.391.52-.039 1.49-.221 1.82-.351zM52.231.633c.039 0 .052.013.052.039.026.104.221 1.35.286 1.885a.712.712 0 0 1-.429.065c-.286-.897-.494-1.42-1.469-1.417h-1.365c-.312 0-.468.26-.468.571v2.601h1.183c1.1.006 1.14-.163 1.183-.878.078-.078.351-.078.429 0-.013.39-.026.676-.026 1.117 0 .44.013.688.026 1.145-.078.078-.351.078-.429 0-.039-.585-.078-.884-1.183-.884h-1.183V8.01c0 .353.182.56.468.56h1.768c.988 0 1.44-.768 1.703-1.703a.605.605 0 0 1 .455.064 21.02 21.02 0 0 1-.481 2.172s-.914-.022-1.543-.025h-2.963c-.21.003-1.09.015-1.643.025-.078-.078-.078-.352 0-.43.91-.039 1.13-.104 1.131-1.184V2.276c0-1.08-.221-1.15-1.131-1.185-.078-.078-.078-.353 0-.431.65.015 1.68.025 1.677.025h3.315c.312 0 .416-.013.637-.052zm56.966 2.696c.104 0 .168.039.168.092 0 0-.051.832-.051 1.479v2.592c-.001 1.08.142 1.13.935 1.181.078.078.078.352 0 .43-.559-.014-.885-.025-1.443-.025-.57 0-.908.014-1.457.025-.074-.078-.074-.352 0-.43.793-.064.938-.104.938-1.184V4.954c0-.74-.137-.816-.846-.883-.025-.078-.054-.287-.025-.364.896-.117 1.41-.234 1.781-.378zM27.199.633c.031 0 .046.009.052.039.018.099.214 1.35.282 1.885l-.403.065c-.286-.897-.494-1.42-1.469-1.417h-1.365c-.312 0-.468.13-.468.442v2.729h1.209c1.1 0 1.14-.169 1.183-.885.078-.077.351-.077.429 0-.013.391-.026.677-.026 1.119 0 .439.013.688.026 1.144-.078.078-.351.078-.429 0-.039-.585-.078-.884-1.183-.884h-1.209v2.619c0 1.08.221 1.14 1.131 1.184.078.078.078.352 0 .43-.65-.014-1.03-.025-1.677-.025-.663 0-1.05.014-1.69.025-.078-.078-.078-.352 0-.43.91-.039 1.13-.104 1.131-1.184V2.276c0-1.08-.221-1.15-1.131-1.185-.078-.078-.078-.353 0-.431.65.015 1.68.025 1.677.025h3.319c.308 0 .384-.008.611-.052zM8.398 0c.104 0 .156.039.156.13 0 0-.037.455-.039 1.3l-.009 2.992c0 .183.083.048.127 0 .793-.884 1.42-1.05 2.054-1.054.455 0 .861.156 1.079.44.303.396.351 1.03.351 1.742v1.938c0 1.06.143 1.12.871 1.184.065.078.065.352 0 .43-.559-.014-.845-.025-1.378-.025-.52 0-.78.014-1.326.025-.065-.078-.065-.352 0-.43.676-.064.806-.117.806-1.184V5.51c0-.39-.026-.743-.156-1.001-.151-.298-.424-.468-.689-.468-.512 0-1.01.28-1.508.767a.758.758 0 0 0-.221.549v2.131c0 1.08.117 1.13.777 1.184.078.078.078.352 0 .43-.547-.014-.777-.025-1.285-.025-.559 0-.892.014-1.427.025-.078-.078-.078-.352 0-.43.754-.053.907-.104.907-1.184V1.805c0-.299 0-.598-.91-.598H4.927c-.468 0-.598.233-.598.676v5.604c0 1.08.221 1.14 1.261 1.184.078.078.078.352 0 .43-.65-.014-1.1-.025-1.807-.025-.715 0-1.18.014-1.82.025-.078-.078-.078-.352 0-.43 1.04-.039 1.26-.104 1.261-1.184V1.843c0-.401-.13-.637-.598-.637H1.534C.819 1.206.65 1.361.39 2.4L0 2.337C.156 1.649.234.977.286.335l.351.052c0 .078 0 .301.273.301h5.174c1.1 0 1.26-.099 2.314-.688zm47.33 3.328c.104 0 .156.039.156.104 0 0-.065.6-.065.988 0 .183.091.052.13 0 .792-.882 1.42-1.05 2.054-1.052.455 0 .857.156 1.078.44.301.403.352 1.03.352 1.742v1.938c0 1.06.145 1.12.871 1.184.064.078.064.352 0 .43-.559-.014-.846-.025-1.377-.025-.521 0-.779.014-1.327.025-.065-.078-.065-.352 0-.43.676-.064.806-.117.806-1.184V5.51c0-.39-.026-.74-.156-1.001-.156-.299-.429-.468-.689-.468-.507 0-1.01.284-1.508.767a.765.765 0 0 0-.221.549v2.131c0 1.06.117 1.12.78 1.184.078.078.078.352 0 .43-.546-.014-.78-.025-1.287-.025-.559 0-.897.014-1.43.025-.078-.078-.078-.352 0-.43.78-.064.91-.117.91-1.184V4.953c0-.754-.143-.818-.845-.883-.026-.078-.052-.287-.026-.364.897-.117 1.43-.234 1.794-.378zm28.755.473c-1.09-.003-1.49 1.18-1.494 2.312 0 1 .494 2.67 1.846 2.666.611 0 1.4-.353 1.404-2.066 0-1.91-.637-2.91-1.756-2.912zm6.942.163c-.379 0-.91.338-1.312.754-.167.175-.208.303-.208.575v2.418c0 .47.051.545.311.778.234.209.689.273.924.273 1.46 0 1.83-1.33 1.832-2.395 0-1.47-.715-2.4-1.547-2.403zm22.819 2.084-1.032.274c-.959.254-1.23.846-1.234 1.431 0 .401.285.923.938.923.363 0 .809-.286 1.146-.561.104-.078.182-.168.182-.338V6.048zm-10.588-2.225c-.26 0-.809.039-1.209.648-.193.271-.377.793-.377 1.729 0 1.62.729 2.39 1.432 2.393.322 0 .738-.208 1.223-.624.184-.158.207-.26.207-.507V4.993c0-.402-.039-.493-.221-.701-.262-.299-.586-.469-1.055-.469zm-68.284 0c-.312 0-1.22.117-1.469 1.586l2.353-.039c.143-.002.195-.064.195-.183 0-1.09-.585-1.36-1.079-1.364zm-19.159 0c-.312 0-1.22.117-1.469 1.586l2.353-.039c.143-.002.195-.064.195-.183 0-1.09-.585-1.36-1.079-1.364zm25.009 0c-.312 0-1.22.117-1.469 1.586l2.353-.039c.143-.002.195-.064.195-.183 0-1.09-.585-1.36-1.079-1.364zm56.482 0c-.311 0-1.22.117-1.469 1.586l2.354-.039c.145-.002.195-.064.195-.183 0-1.09-.586-1.36-1.08-1.364zM108.805.665c.352 0 .623.363.623.676 0 .273-.312.624-.676.624-.312 0-.623-.338-.623-.677.001-.311.364-.623.676-.623z"/></svg> width=117 height=13 style=width:7.3125em;height:0.8125em>
</span>
</a>
</div>
<div class=vector-header-end>
<div id=p-search role=search class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box">
<a href=https://en.wikipedia.org/wiki/Special:Search class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle sf-hidden" title="Search Wikipedia [Alt+Shift+f]" accesskey=f>
</a>
<div class=vector-typeahead-search-container>
<div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width">
<form action=/w/index.php id=searchform class="cdx-search-input cdx-search-input--has-end-button">
<div id=simpleSearch class=cdx-search-input__input-wrapper data-search-loc=header-moved>
<div class="cdx-text-input cdx-text-input--has-start-icon">
<input class="cdx-text-input__input mw-searchInput" autocomplete=off type=search name=search placeholder="Search Wikipedia" aria-label="Search Wikipedia" autocapitalize=sentences spellcheck=false title="Search Wikipedia [Alt+Shift+f]" accesskey=f id=searchInput value>
<span class="cdx-text-input__icon cdx-text-input__start-icon"></span>
</div>
</div>
<button class="cdx-button cdx-search-input__end-button">Search</button>
</form>
</div>
</div>
</div>
<nav class="vector-user-links vector-user-links-wide" aria-label="Personal tools">
<div class=vector-user-links-main>
<div id=p-vector-user-menu-preferences class="vector-menu mw-portlet emptyPortlet sf-hidden">
</div>
<div id=p-vector-user-menu-userpage class="vector-menu mw-portlet emptyPortlet sf-hidden">
</div>
<nav class="vector-appearance-landmark sf-hidden" aria-label=Appearance>
</nav>
<div id=p-vector-user-menu-notifications class="vector-menu mw-portlet emptyPortlet sf-hidden">
</div>
<div id=p-vector-user-menu-overflow class="vector-menu mw-portlet">
<div class=vector-menu-content>
<ul class=vector-menu-content-list>
<li id=pt-sitesupport-2 class="user-links-collapsible-item mw-list-item"><a data-mw-interface href="https://donate.wikimedia.org/?wmf_source=donate&amp;wmf_medium=sidebar&amp;wmf_campaign=en.wikipedia.org&amp;uselang=en"><span>Donate</span></a>
</li>
<li id=pt-createaccount-2 class="user-links-collapsible-item mw-list-item"><a data-mw-interface href="https://en.wikipedia.org/w/index.php?title=Special:CreateAccount&amp;returnto=BERT+%28language+model%29" title="You are encouraged to create an account and log in; however, it is not mandatory"><span>Create account</span></a>
</li>
<li id=pt-login-2 class="user-links-collapsible-item mw-list-item"><a data-mw-interface href="https://en.wikipedia.org/w/index.php?title=Special:UserLogin&amp;returnto=BERT+%28language+model%29" title="You're encouraged to log in; however, it's not mandatory. [Alt+Shift+o]" accesskey=o><span>Log in</span></a>
</li>
</ul>
</div>
</div>
</div>
<div id=vector-user-links-dropdown class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out user-links-collapsible-item sf-hidden" title="Log in and more options">
</div>
</nav>
</div>
</header>
</div>
<div class=mw-page-container>
<div class=mw-page-container-inner>
<div class=vector-sitenotice-container>
<div id=siteNotice><div id=centralNotice data-nosnippet></div></div>
</div>
<div class=vector-column-start>
<div class=vector-main-menu-container>
<div id=mw-navigation>
<nav id=mw-panel class="vector-main-menu-landmark sf-hidden" aria-label=Site>
</nav>
</div>
</div>
<div class=vector-sticky-pinned-container>
<nav id=mw-panel-toc aria-label=Contents data-event-name=ui.sidebar-toc class="mw-table-of-contents-container vector-toc-landmark">
<div id=vector-toc-pinned-container class=vector-pinned-container>
<div id=vector-toc class="vector-toc vector-pinnable-element">
<div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name=toc-pinned data-pinnable-element-id=vector-toc>
<h2 class=vector-pinnable-header-label>Contents</h2>
<button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button sf-hidden" data-event-name=pinnable-header.vector-toc.pin>move to sidebar</button>
<button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name=pinnable-header.vector-toc.unpin>hide</button>
</div>
<ul class=vector-toc-contents id=mw-panel-toc-list>
<li id=toc-mw-content-text class="vector-toc-list-item vector-toc-level-1">
<a href=# class=vector-toc-link>
<div class=vector-toc-text>(Top)</div>
</a>
</li>
<li id=toc-Architecture class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded">
<a class=vector-toc-link href=#Architecture>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">1</span>
<span>Architecture</span>
</div>
</a>
<button aria-controls=toc-Architecture-sublist class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle" aria-expanded=true>
<span class="vector-icon mw-ui-icon-wikimedia-expand"></span>
<span>Toggle Architecture subsection</span>
</button>
<ul id=toc-Architecture-sublist class=vector-toc-list>
<li id=toc-Embedding class="vector-toc-list-item vector-toc-level-2">
<a class=vector-toc-link href=#Embedding>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">1.1</span>
<span>Embedding</span>
</div>
</a>
<ul id=toc-Embedding-sublist class=vector-toc-list>
</ul>
</li>
<li id=toc-Architectural_family class="vector-toc-list-item vector-toc-level-2">
<a class=vector-toc-link href=#Architectural_family>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">1.2</span>
<span>Architectural family</span>
</div>
</a>
<ul id=toc-Architectural_family-sublist class=vector-toc-list>
</ul>
</li>
</ul>
</li>
<li id=toc-Training class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded vector-toc-level-1-active">
<a class=vector-toc-link href=#Training>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">2</span>
<span>Training</span>
</div>
</a>
<button aria-controls=toc-Training-sublist class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle" aria-expanded=true>
<span class="vector-icon mw-ui-icon-wikimedia-expand"></span>
<span>Toggle Training subsection</span>
</button>
<ul id=toc-Training-sublist class=vector-toc-list>
<li id=toc-Pre-training class="vector-toc-list-item vector-toc-level-2">
<a class=vector-toc-link href=#Pre-training>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">2.1</span>
<span>Pre-training</span>
</div>
</a>
<ul id=toc-Pre-training-sublist class=vector-toc-list>
<li id=toc-Masked_language_modeling class="vector-toc-list-item vector-toc-level-3 vector-toc-list-item-active">
<a class=vector-toc-link href=#Masked_language_modeling>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">2.1.1</span>
<span>Masked language modeling</span>
</div>
</a>
<ul id=toc-Masked_language_modeling-sublist class=vector-toc-list>
</ul>
</li>
<li id=toc-Next_sentence_prediction class="vector-toc-list-item vector-toc-level-3">
<a class=vector-toc-link href=#Next_sentence_prediction>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">2.1.2</span>
<span>Next sentence prediction</span>
</div>
</a>
<ul id=toc-Next_sentence_prediction-sublist class=vector-toc-list>
</ul>
</li>
</ul>
</li>
<li id=toc-Fine-tuning class="vector-toc-list-item vector-toc-level-2">
<a class=vector-toc-link href=#Fine-tuning>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">2.2</span>
<span>Fine-tuning</span>
</div>
</a>
<ul id=toc-Fine-tuning-sublist class=vector-toc-list>
</ul>
</li>
<li id=toc-Cost class="vector-toc-list-item vector-toc-level-2">
<a class=vector-toc-link href=#Cost>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">2.3</span>
<span>Cost</span>
</div>
</a>
<ul id=toc-Cost-sublist class=vector-toc-list>
</ul>
</li>
</ul>
</li>
<li id=toc-Interpretation class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded">
<a class=vector-toc-link href=#Interpretation>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">3</span>
<span>Interpretation</span>
</div>
</a>
<ul id=toc-Interpretation-sublist class=vector-toc-list>
</ul>
</li>
<li id=toc-History class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded">
<a class=vector-toc-link href=#History>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">4</span>
<span>History</span>
</div>
</a>
<ul id=toc-History-sublist class=vector-toc-list>
</ul>
</li>
<li id=toc-Variants class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded">
<a class=vector-toc-link href=#Variants>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">5</span>
<span>Variants</span>
</div>
</a>
<ul id=toc-Variants-sublist class=vector-toc-list>
</ul>
</li>
<li id=toc-Notes class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded">
<a class=vector-toc-link href=#Notes>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">6</span>
<span>Notes</span>
</div>
</a>
<ul id=toc-Notes-sublist class=vector-toc-list>
</ul>
</li>
<li id=toc-References class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded">
<a class=vector-toc-link href=#References>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">7</span>
<span>References</span>
</div>
</a>
<ul id=toc-References-sublist class=vector-toc-list>
</ul>
</li>
<li id=toc-Further_reading class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded">
<a class=vector-toc-link href=#Further_reading>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">8</span>
<span>Further reading</span>
</div>
</a>
<ul id=toc-Further_reading-sublist class=vector-toc-list>
</ul>
</li>
<li id=toc-External_links class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded">
<a class=vector-toc-link href=#External_links>
<div class=vector-toc-text>
<span class="vector-toc-numb sf-hidden">9</span>
<span>External links</span>
</div>
</a>
<ul id=toc-External_links-sublist class=vector-toc-list>
</ul>
</li>
</ul>
</div>
</div>
</nav>
</div>
</div>
<div class=mw-content-container>
<main id=content class=mw-body>
<header class="mw-body-header vector-page-titlebar no-font-mode-scale">
<nav aria-label=Contents class="vector-toc-landmark sf-hidden">
</nav>
<h1 id=firstHeading class="firstHeading mw-first-heading"><span class=mw-page-title-main>BERT (language model)</span></h1>
<div id=p-lang-btn class="vector-dropdown mw-portlet mw-portlet-lang">
<input type=checkbox id=p-lang-btn-checkbox role=button aria-haspopup=true data-event-name=ui.dropdown-p-lang-btn class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 21 languages" value=on>
<label id=p-lang-btn-label for=p-lang-btn-checkbox class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-21" aria-hidden=true><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span>
<span class=vector-dropdown-label-text>21 languages</span>
</label>
<div class="vector-dropdown-content sf-hidden">
</div>
</div>
</header>
<div class="vector-page-toolbar vector-feature-custom-font-size-clientpref--excluded">
<div class=vector-page-toolbar-container>
<div id=left-navigation>
<nav aria-label=Namespaces>
<div id=p-associated-pages class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages">
<div class=vector-menu-content>
<ul class=vector-menu-content-list>
<li id=ca-nstab-main class="selected vector-tab-noicon mw-list-item"><a href=https://en.wikipedia.org/wiki/BERT_(language_model) title="View the content page [Alt+Shift+c]" accesskey=c><span>Article</span></a><li id=ca-talk class="vector-tab-noicon mw-list-item"><a href=https://en.wikipedia.org/wiki/Talk:BERT_(language_model) rel=discussion title="Discuss improvements to the content page [Alt+Shift+t]" accesskey=t><span>Talk</span></a></li>
</ul>
</div>
</div>
<div id=vector-variants-dropdown class="vector-dropdown emptyPortlet sf-hidden">
</div>
</nav>
</div>
<div id=right-navigation class=vector-collapsible>
<nav aria-label=Views>
<div id=p-views class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views">
<div class=vector-menu-content>
<ul class=vector-menu-content-list>
<li id=ca-view class="selected vector-tab-noicon mw-list-item"><a href=https://en.wikipedia.org/wiki/BERT_(language_model)><span>Read</span></a><li id=ca-edit class="vector-tab-noicon mw-list-item"><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit" title="Edit this page [Alt+Shift+e]" accesskey=e><span>Edit</span></a><li id=ca-history class="vector-tab-noicon mw-list-item"><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=history" title="Past revisions of this page [Alt+Shift+h]" accesskey=h><span>View history</span></a></li>
</ul>
</div>
</div>
</nav>
<nav class=vector-page-tools-landmark aria-label="Page tools">
<div id=vector-page-tools-dropdown class="vector-dropdown vector-page-tools-dropdown">
<input type=checkbox id=vector-page-tools-dropdown-checkbox role=button aria-haspopup=true data-event-name=ui.dropdown-vector-page-tools-dropdown class=vector-dropdown-checkbox aria-label=Tools value=on>
<label id=vector-page-tools-dropdown-label for=vector-page-tools-dropdown-checkbox class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden=true><span class=vector-dropdown-label-text>Tools</span>
</label>
<div class=vector-dropdown-content>
<div id=vector-page-tools-unpinned-container class=vector-unpinned-container>
<div id=vector-page-tools class="vector-page-tools vector-pinnable-element">
<div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name=page-tools-pinned data-pinnable-element-id=vector-page-tools data-pinned-container-id=vector-page-tools-pinned-container data-unpinned-container-id=vector-page-tools-unpinned-container data-saved-pinned-state=false>
<div class=vector-pinnable-header-label>Tools</div>
<button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name=pinnable-header.vector-page-tools.pin>move to sidebar</button>
<button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button sf-hidden" data-event-name=pinnable-header.vector-page-tools.unpin>hide</button>
</div>
<div id=p-cactions class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items sf-hidden" title="More options">
</div>
<div id=p-tb class="vector-menu mw-portlet mw-portlet-tb">
<div class=vector-menu-heading>
General
</div>
<div class=vector-menu-content>
<ul class=vector-menu-content-list>
<li id=t-whatlinkshere class=mw-list-item><a href=https://en.wikipedia.org/wiki/Special:WhatLinksHere/BERT_(language_model) title="List of all English Wikipedia pages containing links to this page [Alt+Shift+j]" accesskey=j><span>What links here</span></a><li id=t-recentchangeslinked class=mw-list-item><a href=https://en.wikipedia.org/wiki/Special:RecentChangesLinked/BERT_(language_model) rel=nofollow title="Recent changes in pages linked from this page [Alt+Shift+k]" accesskey=k><span>Related changes</span></a><li id=t-upload class="mw-list-item sf-hidden"><li id=t-permalink class=mw-list-item><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;oldid=1319250070" title="Permanent link to this revision of this page"><span>Permanent link</span></a><li id=t-info class=mw-list-item><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=info" title="More information about this page"><span>Page information</span></a><li id=t-cite class=mw-list-item><a href="https://en.wikipedia.org/w/index.php?title=Special:CiteThisPage&amp;page=BERT_%28language_model%29&amp;id=1319250070&amp;wpFormIdentifier=titleform" title="Information on how to cite this page"><span>Cite this page</span></a><li id=t-urlshortener class=mw-list-item><a href="https://en.wikipedia.org/w/index.php?title=Special:UrlShortener&amp;url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FBERT_%28language_model%29" aria-haspopup=dialog><span>Get shortened URL</span></a><li id=t-urlshortener-qrcode class=mw-list-item><a href="https://en.wikipedia.org/w/index.php?title=Special:QrCode&amp;url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FBERT_%28language_model%29"><span>Download QR code</span></a></li>
<li class="mw-list-item mw-list-item-js" id=t-collapsible-toggle-all><a href=# title="Expand all collapsible elements on the current page" role=button aria-expanded=false><span>Expand all</span></a><li class="mw-list-item mw-list-item-js" id=wbc-editpage><a href=https://www.wikidata.org/wiki/Special:EntityPage/Q61726893#sitelinks-wikipedia title="Edit interlanguage links"><span>Edit interlanguage links</span></a></ul>
</div>
</div>
<div id=p-coll-print_export class="vector-menu mw-portlet mw-portlet-coll-print_export">
<div class=vector-menu-heading>
Print/export
</div>
<div class=vector-menu-content>
<ul class=vector-menu-content-list>
<li id=coll-download-as-rl class=mw-list-item><a href="https://en.wikipedia.org/w/index.php?title=Special:DownloadAsPdf&amp;page=BERT_%28language_model%29&amp;action=show-download-screen" title="Download this page as a PDF file"><span>Download as PDF</span></a><li id=t-print class=mw-list-item><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;printable=yes" title="Printable version of this page [Alt+Shift+p]" accesskey=p><span>Printable version</span></a></li>
</ul>
</div>
</div>
<div id=p-wikibase-otherprojects class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects">
<div class=vector-menu-heading>
In other projects
</div>
<div class=vector-menu-content>
<ul class=vector-menu-content-list>
<li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href=https://commons.wikimedia.org/wiki/Category:BERT hreflang=en><span>Wikimedia Commons</span></a><li id=t-wikibase class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href=https://www.wikidata.org/wiki/Special:EntityPage/Q61726893 title="Structured data on this page hosted by Wikidata [Alt+Shift+g]" accesskey=g><span>Wikidata item</span></a></li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</nav>
</div>
</div>
</div>
<div class="vector-column-end no-font-mode-scale">
<div class=vector-sticky-pinned-container>
<nav class="vector-page-tools-landmark sf-hidden" aria-label="Page tools">
</nav>
<nav class=vector-appearance-landmark aria-label=Appearance>
<div id=vector-appearance-pinned-container class=vector-pinned-container>
<div id=vector-appearance class="vector-appearance vector-pinnable-element">
<div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name=appearance-pinned data-pinnable-element-id=vector-appearance data-pinned-container-id=vector-appearance-pinned-container data-unpinned-container-id=vector-appearance-unpinned-container data-saved-pinned-state=true>
<div class=vector-pinnable-header-label>Appearance</div>
<button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button sf-hidden" data-event-name=pinnable-header.vector-appearance.pin>move to sidebar</button>
<button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name=pinnable-header.vector-appearance.unpin>hide</button>
</div>
<div class="mw-portlet mw-portlet-skin-client-prefs-vector-feature-custom-font-size vector-menu" id=skin-client-prefs-vector-feature-custom-font-size><div class=vector-menu-heading>Text</div><div class=vector-menu-content><ul class=vector-menu-content-list><li class="mw-list-item mw-list-item-js"><div><form><div class=cdx-radio><input name=skin-client-pref-vector-feature-custom-font-size-group id=skin-client-pref-vector-feature-custom-font-size-value-0 type=radio value=0 data-event-name=skin-client-pref-vector-feature-custom-font-size-value-0 class=cdx-radio__input><span class=cdx-radio__icon></span><label class="cdx-label cdx-radio__label" for=skin-client-pref-vector-feature-custom-font-size-value-0><span class=cdx-label__label__text>Small</span></label></div><div class=cdx-radio><input name=skin-client-pref-vector-feature-custom-font-size-group id=skin-client-pref-vector-feature-custom-font-size-value-1 type=radio value=1 data-event-name=skin-client-pref-vector-feature-custom-font-size-value-1 class=cdx-radio__input checked><span class=cdx-radio__icon></span><label class="cdx-label cdx-radio__label" for=skin-client-pref-vector-feature-custom-font-size-value-1><span class=cdx-label__label__text>Standard</span></label></div><div class=cdx-radio><input name=skin-client-pref-vector-feature-custom-font-size-group id=skin-client-pref-vector-feature-custom-font-size-value-2 type=radio value=2 data-event-name=skin-client-pref-vector-feature-custom-font-size-value-2 class=cdx-radio__input><span class=cdx-radio__icon></span><label class="cdx-label cdx-radio__label" for=skin-client-pref-vector-feature-custom-font-size-value-2><span class=cdx-label__label__text>Large</span></label></div></form></div></ul><span class="skin-client-pref-exclusion-notice sf-hidden">This page always uses small font size</span></div></div><div class="mw-portlet mw-portlet-skin-client-prefs-vector-feature-limited-width vector-menu" id=skin-client-prefs-vector-feature-limited-width><div class=vector-menu-heading>Width</div><div class=vector-menu-content><ul class=vector-menu-content-list><li class="mw-list-item mw-list-item-js"><div><form><div class=cdx-radio><input name=skin-client-pref-vector-feature-limited-width-group id=skin-client-pref-vector-feature-limited-width-value-1 type=radio value=1 data-event-name=skin-client-pref-vector-feature-limited-width-value-1 class=cdx-radio__input checked><span class=cdx-radio__icon></span><label class="cdx-label cdx-radio__label" for=skin-client-pref-vector-feature-limited-width-value-1><span class=cdx-label__label__text>Standard</span></label></div><div class=cdx-radio><input name=skin-client-pref-vector-feature-limited-width-group id=skin-client-pref-vector-feature-limited-width-value-0 type=radio value=0 data-event-name=skin-client-pref-vector-feature-limited-width-value-0 class=cdx-radio__input><span class=cdx-radio__icon></span><label class="cdx-label cdx-radio__label" for=skin-client-pref-vector-feature-limited-width-value-0><span class=cdx-label__label__text>Wide</span></label></div></form></div></ul><span class="skin-client-pref-exclusion-notice sf-hidden">The content is as wide as possible for your browser window.</span></div></div><div class="mw-portlet mw-portlet-skin-client-prefs-skin-theme vector-menu" id=skin-client-prefs-skin-theme><div class=vector-menu-heading>Color <span><span>(beta)</span></span></div><div class=vector-menu-content><ul class=vector-menu-content-list><li class="mw-list-item mw-list-item-js"><div><form><div class=cdx-radio><input name=skin-client-pref-skin-theme-group id=skin-client-pref-skin-theme-value-os type=radio value=os data-event-name=skin-client-pref-skin-theme-value-os class=cdx-radio__input><span class=cdx-radio__icon></span><label class="cdx-label cdx-radio__label" for=skin-client-pref-skin-theme-value-os><span class=cdx-label__label__text>Automatic</span></label></div><div class=cdx-radio><input name=skin-client-pref-skin-theme-group id=skin-client-pref-skin-theme-value-day type=radio value=day data-event-name=skin-client-pref-skin-theme-value-day class=cdx-radio__input checked><span class=cdx-radio__icon></span><label class="cdx-label cdx-radio__label" for=skin-client-pref-skin-theme-value-day><span class=cdx-label__label__text>Light</span></label></div><div class=cdx-radio><input name=skin-client-pref-skin-theme-group id=skin-client-pref-skin-theme-value-night type=radio value=night data-event-name=skin-client-pref-skin-theme-value-night class=cdx-radio__input><span class=cdx-radio__icon></span><label class="cdx-label cdx-radio__label" for=skin-client-pref-skin-theme-value-night><span class=cdx-label__label__text>Dark</span></label></div></form><span id=skin-theme-beta-notice class=sf-hidden></span></div></ul><span class="skin-client-pref-exclusion-notice sf-hidden">This page is always in light mode.</span></div></div></div>
</div>
</nav>
</div>
</div>
<div id=bodyContent class="vector-body ve-init-mw-desktopArticleTarget-targetContainer" aria-labelledby=firstHeading data-mw-ve-target-container>
<div class=vector-body-before-content>
<div class=mw-indicators>
</div>
<div id=siteSub class=noprint>From Wikipedia, the free encyclopedia</div>
</div>
<div id=contentSub><div id=mw-content-subtitle></div></div>
<div id=mw-content-text class=mw-body-content><div class=mw-subjectpageheader>
</div><div class="mw-content-ltr mw-parser-output" lang=en dir=ltr><div class="shortdescription nomobile noexcerpt noprint searchaux" style=display:none>Series of language models developed by Google AI</div>
<table class="infobox vevent"><tbody><tr><th colspan=2 class="infobox-above summary">Bidirectional encoder representations from transformers (BERT)<tr><th scope=row class=infobox-label style=white-space:nowrap><a href=https://en.wikipedia.org/wiki/Programmer title=Programmer>Original author</a><td class=infobox-data><a href=https://en.wikipedia.org/wiki/Google_AI title="Google AI">Google AI</a><tr><th scope=row class=infobox-label style=white-space:nowrap>Initial release<td class=infobox-data>October 31, 2018<tr><th scope=row class=infobox-label style=white-space:nowrap><a href=https://en.wikipedia.org/wiki/Repository_(version_control) title="Repository (version control)">Repository</a><td class=infobox-data><span class=url><a rel=nofollow class="external text" href=https://github.com/google-research/bert>github<wbr>.com<wbr>/google-research<wbr>/bert</a></span><tr><th scope=row class=infobox-label style=white-space:nowrap><a href=https://en.wikipedia.org/wiki/Software_categories#Categorization_approaches title="Software categories">Type</a><td class=infobox-data><style data-mw-deduplicate=TemplateStyles:r1126788409 class=sf-hidden>.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ul li{margin-bottom:0}</style><div class=plainlist style=margin-left:1em;text-indent:-1em>
<ul><li><a href=https://en.wikipedia.org/wiki/Large_language_model title="Large language model">Large language model</a></li>
<li><a href=https://en.wikipedia.org/wiki/Transformer_(deep_learning_architecture) class=mw-redirect title="Transformer (deep learning architecture)">Transformer</a></li>
<li><a href=https://en.wikipedia.org/wiki/Foundation_model title="Foundation model">Foundation model</a></ul>
</div><tr><th scope=row class=infobox-label style=white-space:nowrap><a href=https://en.wikipedia.org/wiki/Software_license title="Software license">License</a><td class=infobox-data><a href=https://en.wikipedia.org/wiki/Apache_2.0 class=mw-redirect title="Apache 2.0">Apache 2.0</a><tr><th scope=row class=infobox-label style=white-space:nowrap>Website<td class=infobox-data><span class=url><a rel=nofollow class="external text" href=https://arxiv.org/abs/1810.04805>arxiv<wbr>.org<wbr>/abs<wbr>/1810<wbr>.04805</a></span>&nbsp;<span class="penicon autoconfirmed-show sf-hidden"></span></table>
<p>
<b>Bidirectional encoder representations from transformers</b> (<b>BERT</b>) is a <a href=https://en.wikipedia.org/wiki/Language_model title="Language model">language model</a> introduced in October 2018 by researchers at <a href=https://en.wikipedia.org/wiki/Google title=Google>Google</a>.<sup id=cite_ref-:0_1-0 class=reference><a href=#cite_note-:0-1><span class=cite-bracket>[</span>1<span class=cite-bracket>]</span></a></sup><sup id=cite_ref-2 class=reference><a href=#cite_note-2><span class=cite-bracket>[</span>2<span class=cite-bracket>]</span></a></sup> It learns to represent text as a sequence of vectors using <a href=https://en.wikipedia.org/wiki/Self-supervised_learning title="Self-supervised learning">self-supervised learning</a>. It uses the <a href=https://en.wikipedia.org/wiki/Transformer_(machine_learning_model) class=mw-redirect title="Transformer (machine learning model)">encoder-only transformer</a> architecture. BERT dramatically improved the state of the art for <a href=https://en.wikipedia.org/wiki/Large_language_model title="Large language model">large language models</a>. As of 2020<sup class="plainlinks noexcerpt noprint asof-tag update" style=display:none></sup>, BERT is a ubiquitous baseline in <a href=https://en.wikipedia.org/wiki/Natural_language_processing title="Natural language processing">natural language processing</a> (NLP) experiments.<sup id=cite_ref-:4_3-0 class=reference><a href=#cite_note-:4-3><span class=cite-bracket>[</span>3<span class=cite-bracket>]</span></a></sup>
<p>BERT is trained by masked token prediction and next sentence prediction. With this training, BERT learns contextual, <a href=https://en.wikipedia.org/wiki/Latent_space title="Latent space">latent representations</a> of tokens in their context, similar to <a href=https://en.wikipedia.org/wiki/ELMo title=ELMo>ELMo</a> and <a href=https://en.wikipedia.org/wiki/GPT-2 title=GPT-2>GPT-2</a>.<sup id=cite_ref-:5_4-0 class=reference><a href=#cite_note-:5-4><span class=cite-bracket>[</span>4<span class=cite-bracket>]</span></a></sup> It found applications for many natural language processing tasks, such as <a href=https://en.wikipedia.org/wiki/Coreference_resolution class=mw-redirect title="Coreference resolution">coreference resolution</a> and <a href=https://en.wikipedia.org/wiki/Polysemy title=Polysemy>polysemy</a> resolution.<sup id=cite_ref-5 class=reference><a href=#cite_note-5><span class=cite-bracket>[</span>5<span class=cite-bracket>]</span></a></sup> It improved on <a href=https://en.wikipedia.org/wiki/ELMo title=ELMo>ELMo</a> and spawned the study of "BERTology", which attempts to interpret what is learned by BERT.<sup id=cite_ref-:4_3-1 class=reference><a href=#cite_note-:4-3><span class=cite-bracket>[</span>3<span class=cite-bracket>]</span></a></sup>
<p>BERT was originally implemented in the English language at two model sizes, BERT<sub>BASE</sub> (110 million parameters) and BERT<sub>LARGE</sub> (340 million parameters). Both were trained on the Toronto <a href=https://en.wikipedia.org/wiki/BookCorpus title=BookCorpus>BookCorpus</a><sup id=cite_ref-bookcorpus_6-0 class=reference><a href=#cite_note-bookcorpus-6><span class=cite-bracket>[</span>6<span class=cite-bracket>]</span></a></sup> (800M words) and <a href=https://en.wikipedia.org/wiki/English_Wikipedia title="English Wikipedia">English Wikipedia</a> (2,500M words).<sup id=cite_ref-:0_1-1 class=reference><a href=#cite_note-:0-1><span class=cite-bracket>[</span>1<span class=cite-bracket>]</span></a></sup><sup class="reference nowrap"><span title="Page: 5">:5</span></sup> The weights were released on <a href=https://en.wikipedia.org/wiki/GitHub title=GitHub>GitHub</a>.<sup id=cite_ref-:3_7-0 class=reference><a href=#cite_note-:3-7><span class=cite-bracket>[</span>7<span class=cite-bracket>]</span></a></sup> On March 11, 2020, 24 smaller models were released, the smallest being BERT<sub>TINY</sub> with just 4 million parameters.<sup id=cite_ref-:3_7-1 class=reference><a href=#cite_note-:3-7><span class=cite-bracket>[</span>7<span class=cite-bracket>]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id=Architecture>Architecture</h2><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=1" title="Edit section: Architecture"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<figure typeof=mw:File/Thumb><a href=https://en.wikipedia.org/wiki/File:BERT_embeddings_01.png class=mw-file-description><img src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfQAAAC7CAYAAACTr2yHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QAAAAAAAD5Q7t/AAAAB3RJTUUH6AgGDRUrsAmrVQAAgABJREFUeNrsnXec3EX9/18zn7Z993qvyaX3ANKr1IAUAQUEBQTs+rNhw4JYEBXFBvpVUbAAIkXpEDqhpddLcpdc73fbdz9t3r8/du9yCdnNhVzwCJ/n47HJ7t7sfObznvnMe+Y973kP4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4ODg4AAAzBGBg4ODg8OhyLx585jL5ZIsyxJr1qwR+dLW19Uwry/ARkZGqLu7m/KlXbJkCScirF69Om+e8+fPl3XDCFmmMdLausNeuGABl2SZMcYEAA5AGIYJzhnv7uoQA4PDea/b2NgYsCyT2ts7Ynv7u+xUuYODg4PDoca0xgY/Y+zjpmkutG27p66u7ra2trbeiopyxevxmNtbWgkAykpL5EgkJhhjRQA+zTn/A4Cu+vp62TQNXlxUZCqqxvx+P3HOEY/HmWmaXwDRdgAPz5u/gBnpJFxuN9atW0+NDQ1SMpVUenv70pZl1bg07TtM074KoB+MLRRCXBKNRH4VCAa/aNv2cwDijPGjuCT/uKKiHABYT0+vOX36dBYIBOAPBNDe2ood7e3c5XJ9jHOPAXTc7ih0BwcHB4f3BF6f/4OMsYtSqdQNkiS5XC5X6cKFCz7OGK8lolemTWt8zefzXw1AKS0TA6ZpbJJl+aOFhYWa3++/X1GU8wCELNt6lFlW2dDQEAPgEkKYqqpeBMaSc+fN0yTOmmzb/hsIl8yaNWs552yx1+dbWFZW3p5Op5/inNdxxmQAMAwjpqrqMR6vdwtj7ELOuVcIoQOIlJaWLZYk6aMAWElJ6V+TyWSdbduHjQwPt/mCwbYFCxacwxibwxh7PNc9c6faHRwcHBwONTjn0xhjLVu3bn128+bNj8iytJBz6WjTMP4thPgYY+wIAIfZtvWmJEnLAJi2be9MJBKPKIryIcbY2ZzzRllWPqDr6Q2c8y9JnF9qmuZzADpB9LxtWW2MsVNVVSsg4ERJ4tUANABFAC5jnFcDGDPLR8JDHUTUJknSx2zbXkFCNHLGDk+nU68B+BSAXiFELxFdQ0SHcc7rAeyUJOmzjLE1RPRmPr3tKHQHBwcHh0MO27afBzBz7ty535s7d853LMv2A5AZ5wsYYxEASQAx0zA3AjAVWYlxzm1VVZsADDHGErZtvWrb9gbGWBlAUQKELMuFRNRnC1Gt62mNiDRFUa7lnFcRoUhR1ItIiE4ACWSt4KML4909/ToRreScH2bb1n2M8yTjvNA0zLWMsX4hRA2AGgB9jIEY2KpYLPYkgGHLsuYS0bR89yw51e7g4ODgcKihqUqby+Vezzkvtm272TT0hxVV7eCcB23b+qNpmtsliQ/renqjqmlhQbQiOxv2x2Kx+1RVbQegmaa5yuVyBYlwPwnxOgAtlUo9JUmS1zTNZkVRVmeV9xu2bb/AGNtqWdYA53wNCbFakqQ+gNb39vYZAFBcXDwoSVIbQI8JIXYysNfb23a86nK7VzPGNCJ0pJKJv3LOo6qq7ti8efPO0tKSzQBcADYyxlb29fW1OzXs4ODg4ODg4ODg4ODg4ODg4ODg4ODgcNBwAss4ODg4OLynmN5YzxTNVcIZ9xHASIi+zVu2xPdMd8RhR3Dd1BdFo+GBHTvaOnLlN3vWdO5y+w8H0LF69epuAHzWrFmL3G73CIByIupYs2ZN58G+L2cfuoODg4PDewpJ4oqmuX4MoJSIWoWw/7pwwfzmdFr3GKbJFUVOm4bpMUx9kDH2GYC9WV1d/ZDb7erXNA2JeLyKcW5UlJf39vb1uVNps8rlxncYY/8XDHgf9noD9ZyzrwJYrutpAcBYuGD+kGlZvlQq5VYVuYfAmGGYFR6PO63IcjQciQghqEKSuCVsvae9o9d2FLqDg4ODg0M+GBhjrJyISAjRo+u67vP5fu9yc7g9njIhRLPb7ZlpC3GjLMvM6/WdzTk/hzH8nYgKXW7PElmWC6Kx+P95vb7jstvNGohIqa6p/waAuZIkzQKwXFW12USik3P+TZVLsxRFLbQs67ec83KXy30KY0zinD/m9/tDnEuHm6axaXgo8TsAXft7W84+dAcHBweHgwHHVF3WJRAAIqJ2zvlGSZIMgNWC6O+MMUuSpFc45wOc8yYislOp1AOc8zcY48sY4+cyxizbtlpt25pDREdapvkbxthWAKWKopxhWdafLMtaD0BijDUwsAIi1Ni2vZwxtlZR5PfJsnw2Y+whIcR2ABVEMDnnHllW6gLBAu3tCtzBwcHBwWGyOQnAGZiC8U6y2jwGoJ6ITlRVrZaIRgg0QkRDjGEEwBCANICky+U6jYgWG4bxIBEtlyTJzxgXRNjJOW9VVPVaIUSpEKLHtu3VmqZeKctSHYAUEUUJ0AGKAxhhjA0CLGzb9gqAPsg5P14IQUKItGma3YyxckVR3pZCd5ziHBwcHBwmHUVRPjN71uzv9Pb1/qK/v/+3AEamStmmT6vnbo+/iTFWCIAYYzuFECFh2z1cksoADDDGCogoJoTwmqZZKMtyKhaPb/N5PJIt7CYiKAC2K4riIaIySZKELMudiXiMg6FakhRb07QBIUSQiIYZQxBgUQAuIhKWaS6RFeUaznkFkfhhIpF8VVWUat1I97i9Bd2bNqwhpxU5ODg4OPzPcbvdn/rLX/5Ct99+uzl71qwHACx0JpHjBhXTp1fPnz//9JkzZy6qra1RHIk4ODg4OExJXC7Xp/79738TEdFzzz1HZ5155lZFUS5D5vASh4OAE8vdwcHB4b0LQ8aXiiOz60nZ46VmX9oe78e/XNmXJ/vyAtAkSTr6wgsvfP/s2bNRX1+PE044oQjAadu2bStOJpPrAcQc8U8uzrY1BwcHh6mtcMcrXZ5VtKNKdFTRSuOUsAuAR1EUryLLbsa5G4DGGFMZYyrnXAWgKoqi+Xw+ze1yq6qmaqqiumRF0SSJK1ndIAGQGWNS9sUZYwxA9j9wzjkAMCJi2f85ACZLEuOcFxUXF4/dSHV1NW688UbfggULPnvrrbcuWb169Q0AXsC440UdDryxODg4ODgc/L5WyipKdc8ZLQP8XOJBgIUkSfJLkuQO+P2+UEGBz+1y+QnwSZLkVRTFqyiKq6ioyF1YWOh2u90uxpgqSZIsy7KShYeCIe4P+Lnf5+eqpnLOOeOcQ1EUqKoKzjkkSYLL5YKmalBUFZqqQlEVyHJmnscYA2MMnHNwzsc+Z5X5W97vyWj+o/mNQkRYtWoVbrnllp4HH3zwp7qu/x+AqNNEHIXu4ODg8L/qO0fN1C4AfmRMzW4AIQDlqqIUFRQW+nxeb4BLUrGmaSVer8dfUlzi9gcCXllWAl6vx+/3+7XSklIpFAopiqrIHo+Hu91ueDweBPwBeDweSLIEVVXhcrmgKMqYYpYkaUzZjv7/bmFwcBB33H678fs//OH+9vb27wFonsz8v33lLYrE5CMC7tBcSZIPeIu2YenpWDLy8vfu/NJ27DriHN+4/EcNQU/hcW7N48n1WyFsiqdizbqVHgl4Qks0xZXTj8C2LTuejm4wbdMKeQsXyZKSc2nctAwrkY692RttWffbf/1KOArdwcHB4a0oAALZGbQLQCmASo/b5ff5/CGP19vo9/vKCwuLPF6vL+D3+0uDwUCwuLhYDgQCaiAQcBcVFUmhUAg+rw8utwuBQEY5a5oGVVUhy/KYUn6vYpomnnjiSdxyy082vPTSS98RQvwHgDkZed/8idsvLCwq+G1ReUFJdmngwBS6bqK/e/CN/sG+D99455dbAeD7H7+tOhQI/b2ksug4lzu3r58QhJGBcERPGcniysJyVVVYboUuMNw3MmRbwiquLCyT5dztw7JsDPYMtw4PD1/6jd9/+jVnDd3BweG9Bh+nqP0AagCEXJpWGAwVzAwGfKX+QDBYUlJSX1RUVBQKhZTCgkJfRWWFLxQKSoFACMXFRSgqLITL7YbL5RpT1O+2WfL/fNSkKDj77GWYOXPGvJ/+9Kd/vPfee38XDod/AaD/QPN2qe7jqqdVlMx+33SAgFGlTrT37d1E9Ja6Y4yNpTcNE68/uW6JnjDmA2gFAJ/L1RAsCBy2+MS5cLm1nHkzxrBjU0ewd+dAcOlJ8yArcs60ALBlZUtRMprG4hPngHE2zh4wPs/MQGHdS1sak7HkqQAche7g4HDIwbBrnbo4O7sO+nz+6R6Pu9rjdhfX1tU1BoOBkoJQgb++oaGwuKjIHQwGpeqaGlZcXAyvx4tQQQg+nw+SJEGSJEdRH0Samprw85//PDRr5qyv3fj9GxeFw+FPAmh7u/n9+lP/YJCEJCkSOGMgAP0DfUgmk6iuqoYtBJLJJLweLyzbgqpkLCW2bSOeiEFVNehpHSORYVRVVGcsKbIMRZG5IitjelORJC5JnI3OonO1EcYYVE2FJEvg0r7Tai4VetIcG4TkWhznnEF1KVAUzQ04Xu4ODg7vXqUtIbNmXQygWFHkapfLXe92u2vq6uoafT5fZVVVdUlDQ32h1+t11dfVK+UV5czv96O8rBz+gB+qqkJVVUdZTwFGRkbQ198XBbAWB7ilLZGKw6u5CchObhnDXf/8C0pLynDisSfhrnvuRCKZwJGHH4XmbVtwzhnnY1rDNPzxrt+jp7cbs2fNwYK5i/DHv/4B1135ScyYPhNCWMg1p6YJxXSjcf+zvOlof2LE0S6zg6PQHRwcpjoSMg5nxQyolBW5wef1TaupqZkWCAYbpk+fXl5UVFRcXV3taWhoUAoKClBdVY1gKAiv1wtN0xyFPYWxbRsvvPACfvrTn2146qknv2Oa5qSto4/XuLquY+miw7By7ZswDBNf+3/fQjQewTPPPw1D10FEaO9sg23b0FQN0xubUFxYDMMw3jWydBS6g4PDVJp1ywAKAZQDmBYKhWaWl5fPqq6qml5VVV1ZU1Nd3NDY6K6oqJBqa2tRVFSEUCg0thXL4d1FJBLBnXfead5+++3/2rJly40AthzsaxYWFCIaDWPj5g2QJA4hbGxr2QaPx4NjjjgWm5o34T+PPYyTjnv/u24g6Ch0BweH/2X/UwygUpalOcXFJXMqKyvn1dTU1NbX11c3NkzzN05rUGtra1FRUQG/3+/Mtg8hNm3ahJ//7Ge9/7r//p9GIpE/YBL3oiuyshdLgIXO7k4cf/QJSKdS2LJtExbNX4L3n3ga+gb6sKO9FVySUFZWhhOPOxnCFhgJj+zW3t6Zlsfe9m8che7g4PBOwJHxKK8AMLukpGRRRUX5nMbGabMbGhrKZ82aVdDY2MgbGxtRWFiIQCDgzLgnASKCEAK2bcO2bQghIIQAEY15WY+mecv/QsAWYizNnr/Z8wVg7PejVFZWwu/371YmwzDw6KOP0s9+9rNXXnrppRsAPI9Jjhb3j6f+iCvOuxYAyzjFMeCs08+BbuiQZAlnnrZsrJyLFy7JCivr1Q4CZxwdnR046fhTUFVVnVGZWY93Me7+Rt8yxnJ6owPI/G3cNfINShnPJgT2PXjNXlKQcBS6g4PDQZ19FwBoDPgD8wuLCpdMmzZtYUNDQ/38+fNKZ8yYKTc2NqK8rBw+v+89obxHFeXoy7ZtWJYF0zRhWRZ0XYeu67BMC7YQsC0LaV2HrqeRSqVgGAZM00Q6nUY6nRaWadmChC2EEIZukGEYlNZ1MvQ0JVMpsm2bhBDCMAzLNE3TsizdtmxLCGEQyCQimzFm2ZZNpmUJy7KEbVnCtEyyTFMYhiF0wxBCiIzOyGjArAsWjf4vsvcm9vibbZpm0y9+8YulZ5555pgMent7cfvttyf+/Oc/39ne3v5jAJ0HQ9Zv7HyRPmRc0TPcO4Ku1j5wzlFT1AAAGOoKTygPialYMvMIpIdN9Az3Q0/piIZjI/F0tGc0TdLQI1o8Fenc3uNye1156757Zz9i4QR1bu9lqpb7cDUhBPo6BmEZNnW19DIp7z50C0O9w2ZKTzQ7Ct3BwWGykAAUMrCZPr9vSW1t7WENDQ0L5s+fXzd37tzgzJkzWW1tLQoKCiDL8rvObD46m7Msa0yx6ro+powTiQQikQgSiQTS6XT2b5Ydi0ZFOBy2w5GwME3T0nXdME0zTUSGYRjpaDSqDw8PGalU2rAsK2lZVlzYIgmwlCBh6Ho6nUqm9HgirqfTaZ2ITCFE0rbtFBGlOWNJAIYthIWMI5kFwM7+b2VnvqOfzXHv7exLZF+jynr8+z2/yyuiPT7bmqZ9Jp1OLx1VUq+//jp+8pOfbH/sscduSqfT9wBIH8w6SxnGX9pb+4oHumMLJM7ZgRwuzgCYtqUn04kHW3qa3xz9ftXONRvn20u/lnpp28WKJGuUp/3ohr5VCNG36vnmI2UuKbnTCkrr+loC9PBg6jCJc4lylMkWQqT09HNJgz3kKHQHB4cD6ePcAOoVRVlaX1d/7KzZsw5fuHDhtEWLFvtnzpjBampr4Pf7p9zsm4hgmuaYYrYsC7FYDOFwGMlkEoZhwLZshMNhu7un245Fo5ZuGIZt20YymUz19vYmBgcHU4ZhpGzbThJRPJVMRgYHB8PRWCwmhEgIIRJEFLMsK26aZgJAHIAOwBj3//j35jjluqdSzYlNNHUbCGOCMYZ0Wsfdd99l/+pXtz26bt36byOzLe2gF/zo6Z8e0mS84nWxNB/djP72WzvTTUpGErQmPLTLA/+fX/m9/eIqbNEUtsKlMi9oL1dhgBBAUhebBGHQrTKmyEzLlda2QSlDrBYEw6MxIUtMzpGWWRZZhkVri0Owbvyzo9AdHBwmDkfGjD67sLDwuFmzZh2/cOHCBUuXLC1duGihPG3aNASDwf+JAieiMRO2YRiIhCOIxaJIpdNIJpPo7u6mgf5+K5lK2alUKtXZ2Rnt6emJW5aVEkKkYrHYQH9/f18sFosIIdKMsYhhGH2xWGyAiNLjlG8yq5yTe8yA7QnOZN87Iz7G0NLSgm984+tDf/7zn38VDod/DWDonbq+14UPFxY3/sZfepiHcenAaoYxWHoEnp6XLjttSeT8m+/DJgB4eQ0aC0PevwQrjpuhuApzbkgnEBIDb5pWesD2l5/oklTv3tMygGwLsf5XDLIt8pcfq3FZy5GWQVgpxPpeivYNDFwK4BFHoTs4OOxrJl7CGFtSVVV5+rx584497LDDZhxxxPv8CxYsYBUVFVBV9eAqa0GwbAvxeBzxeBzpVAoj4TB6e/sQiYQRiUTsvr7++NDgYDQai+jJRDI2NDzcPjw0OJBIJBOmaQ7GYrG2SDQ6nFXKMQCDACLYZX4enTE7CnmSMAyD3XLLLauj0egNqVTqiays37F269WwNFi5zFM6++rMWGuiNctY5kXjfsMAYaVgpT8/3U6/ORPIKPSgG1Uef1Vt+byvQtYKckeYYRJGdt6rxHqWK+ULvg4uqXsvD8v8IzXfoRqJHpQv+EZmeSpHWiIC1v04kIjet9RR6A4ODrmUeAjA0uqqqjMWLFxw0tFHHzPr2GOP8cydOw+FhYWTOgunbNCPZDKJeCyGgcFBDA8Po7+/H709ven+gYF4f3+fPjg4OBCNRLsjkZH4SDgyHI/HWxKJRK+u60kAfQB6kFmX1bOzaEdB/w8RQjzX19f3JIBt7/S1t94BWAwS42pGmQuRadVEGWUtSZn3JADOsxrbBhhHIpVEd3cfptVV72rnBDAmgUkqkyXw8Q8K4zIyFgA77yMlyR4wroAhO1jY+1QeYBK47AHjaka/CztT5r2kZeDgsgsuBSrgmNwdHBx2oQGYFQqFzlywYMHZJ5544sKTTjrJN3/+fBQWFh6QI5sQArquIxqNjinrrq4uDA0Opbu6u9Ld3d2RSDjS09XdNRIOhzuTyeSOocHBIcM0u5DxhI6Ne42uNzvKegpDRBv/V9fWTUBSxivJXbPvcCSG1Rua4fd5UF9TiQ1bWmALGwvnzEA8kcTTL76OdZu24Wff+X9vHbjS3hazJ9YMaf+EN846kD9M7PgyOQrdwcEhJEnSsY2NjZeccMIJJ5966qnlxx5zDMorKvZ7Jj7qYBaNRtHd3Y2e7h50d3cbLa0tieHh4cGdO3f2DQ0NdYTD4R19fX1dlmV1ZGfWQwDCABJZhe0oa4fJhzH0D43g8WdfwcbmVlx6wRn413+fQXVlKTY1t6KlrRMBvw9pXX9X3p6j0B0c3ruUut3usxctXHT56WecfsSyZcs88+bNg8vlmsjsC4lEAuFwGO3t7ejp6cHmzZv1vr6+8LZt23qGh4e7B/r7W3v7+lpMw9xpC7s9q7SHkXEoc2bYDu+0yQDgHGs2bkXfwDBcLhXxRArVVeU45vAF2LJ1B3TDhN/rQf+7NC6Co9AdHN57FPt8vgved8QRV553/nlLly07W6mrq8s5GyciGIYxZibfsnkztbS2Jjdu2NDT29fX2dbWtjEaie5IJBMbiagrO+Mebxp3cHhnFdvenNoZA4hw9GEL4HFlzq5vrK3EwjlNKCkqwLwZjdANEzs7unHUYQsgSXt5Htg7Ff51/6wOzFHoDg7vOTyqqp511JFHfubDl1x69NlnL1OqqqresjZORIhGY+js7MDW5mY0b92qb960qW97S0trR0fHxoGBgQ3pdHozgJ3IeIunHMXtMJW451ngwpMhAAFweTeHteqqSlTXZMK5ZpzlWNY7PaOtlyxekPksxG6anJgNCIIt3jrxz/xWRu7Yr6NlEJnYrnnTSqCxtBLyG7IYSFgw7czz5yh0B4dDHwZgwZzZs79y6aWXnn/pZZd56uvrd1PkyWQSHR0d2LBhA9auXRtdv35917Zt29Z3dnS8GYlGNwJoBtCPjPe4Yyp3mNJ8917QsmPQEu97VsiqxhmXD/gRsvQhJCOtfeEE2ka/TVsYlBI9I8Mtd1co7rKcjwaRQLT7KRjxNgy33A1JDeROK0zEep6CsFIYbr0bXHIj1741YSURH1hhRpOZbXSOQndwOMRn5V6v96PnnH32Vz79mc80HHXUUZAkCUIIDA8PY+PGjXjjjTf0VStXdm7ctGnVzp07X4pEIqsAtGRn36YjQod3I+Ek7jS71vDEyJrDJY4DXhQ3TKQSafy7pU9dndkRCcTSbKtuhT+f2vj7s1wqvLl+KwQoqWMzgKHkhl8ersrI6ahi27BTBlbbAnYy8tMlsoycgd8tG6ZuYEVREE85Ct3B4dCmrKGh4Vsf//g1V3/iE9e5CwsLEYlEsG7dOjz//PPxV1e8unXd+nUvdXZ2PkdEqwF0Y7SncnB4l2PZsADEQQiDcMCx3AHopg1dkXY9Iok0E5KbEgyIgmBQ7t8CQFQ3EVNlREBI5UkrhEBcCFgAIiDkjOVOBEsQ4oIyQXsche7gcGhSOW/u3Fu//e1vX3T+BRewjo4O/POf/zSfeeaZ5pUrVz7Z1tb2GDIxtYfgrH87HIIU+nBFUdm8W4OVxyuTEvrViEBte/QCIQbOAbAaAIp8YkYwGLy9oPbsGsVVlDucKxHifS+RkehEsOYDTFa9uaO/CQvRrqdI2CaC1WcyLis50worjXDnY/pAf2cMwP2OQndwOPQoXjB//q0/+vGPLq6vb8CPfvSj+KOPPvrS2rVr/plKpZ8C0OsocYdDmatPBvO6MCdQ/n6leMaVk9DcGYStQ49sqSxODTSMKnSfC6UuX0VJyczrICm518XBJMhaCYt1P4mSWZ8A50qeS3EAEjMS3SiedV1er3oiwDZiWir6z4WOQndwOPRQq6qqrr/0sssuat7SnP7Wt254Zt26dXfYtv0cMlvJHBwOeb56MWBzMLDRkKz2ASt0hsw+donv0rEMyDqXEkAW8pkBGJcBJoERZcuU2+jOuJpNK/IMRhgYOJikQMmGo3UUuoPDocXx06ZNu3rFihUtzzzzzI/i8fi/AEQdsTi8lzCscaFfxynKnNNcYB8hVkfT7styvz+71NkEL+SEfnVweM8hSZIshPjYmjVrdui6fp2u6286UnFwQF5lTqOKnOiAziuYCnCnRh0cDg2EENVEVBWNRv+fo8wdHCaiATladnbigUefPSSCKzgK3cHhkJlsUBGAV90udYUjDYf3MoqMiVm/GcPG5hZwBnBJmlD6d2QOzyYaY5Y5oV8dHA5FGMNWALel0oYTDMbhPc1F3wX+8V0IEkbWazyHdiTg+CMPg8ulAcSyoVZzDZhNkG3SaJhVABAEkBDZc9alvHNnsnUQWZnTXPOmZSArBQgLBAbGeL5BPIStw7CcfegODofYDH3svHAHh/c063tBiTTWaD2Pp4GkK982McYYEiAkKP9M2NQHkRjZ2jYUw7bRbyMp9Ejxrt7+zb+qV9yle9+HDoDIRqzvJWGlekT/pl/KshrIeSUhDMR6nrGFbaB/022SJOc+/dC2koj3vZhMGpltdI5Cd3BwcHA45BiK4W8pfVsqGd52lCKD4wBDyyR1JMIJPPToykzcdADwe3nLSCR+ZSJ+/xk+N3JuRLcFEE1iPYDBeOzvR7o1eHKkZYYFK6njDSJYydidR6qZ0K97TZs2oKdNvFwYwHJHoTs4ODg4HJJYNgJuDU2yjLJJWPhmmgJLlVFfV4LXkN0cvraFpBlVqHFpqAWDmkuhcw6mqUhYNgpVFTVgyHWMGpNlkCoww7ZhyxIqwHIORpiqQAhgumHiOQAxR6E7ODg4OBxylARxZUnVEd8pqDljYnvM86pzBlsPQ26555Ql6NkO4FUAaCij2cFg8U9Lpl9aKrsKc5rcASDWsxx6rAWFjR8BVzx5zfORjv9AWCkU1F+YCTKTIwgN2WkM7/zX+d1d2zsB3O0odAcHBweHQ4pbrwbzu1HjKzkOofoLdzsP/W1qdJAwkBh8tSiU6Kka/bbQi5DLVxIoqL8IkuJHvvPQGZMR7X4SBfUXgXEF+cLECjMOPdaJgvqLc6fLmh30eLscCm+fCTgm97fwxQ9/21voLZ4R8Ba4cwnStm0Kx4e7Y3o4Wuwvb/S5A1quEZRpmSIcH+rQ7ZReEiifpiluKVdaw9TtcGJ4501//WrfRMu7/g4mNbdTeX0pat1qbtNMJAG9L4IdbhX+8gJUKrmdLNlIHMmRJHYyQnFtCUolvndBEMCGoogaNlrf/3UkGZvYGtUD32Zur0rTKgsRzPUbQWD9YQwOxdFX5ENdeQF8yLM+1RtGXyyFkRI/6osCyHmAsGmDeobRWVKA7sM+m/EMnQjLfwIpHEVNQxkq1dxPDQsnkBqMYQcIRfWlKJXzyHkohlg4iXaFo7y6CEWc55ZFzzBGwLHjtG8gNdEyP/BteP0uTCsvgJ/lkJ1lA11D6DMFhot8aCjw5ZadYYE6h9AlCInSABoCnpwmRpYyIHpG0D6vEb0NV0w87ia9AHb/EyiuKkRDwJN37dDuDWOnIPDKAtS58rX9JIz+CHYoEjyVhajOV3/DMaSjKWw/60xE2RETa8/Lb4ZiGKivLMzzrBBYfwQx3UKbwlFZVoBCnqft941g2CR0axJqS4MI5HpObAHWM4L+gA87j/rC/h11u3TGUfwDx35IKwqW8FyzxaSepNaurenuoQ523IJTNLfmyTnVjadiYl3LqjRAfOnMozRN0XKmHTS77UcG/6C/cc+2g7L9+4zDABrdzSUsvCV8KmXCuIKNazWjIVwFZb3W9yg+CYAxcL43tSqyoV/zjQmy3vY0gbSZoLJ5QsTuSse4NBaO1lHo4/jCRd/yV5fU3hwIBT6kZfYx5DCJELSo2l6gFw4EQv75qqqqlCOtEIJcEWW7bYtUIOSfJ8kyz6XQbdsiV0RbedM1t33iW3/43JaJlDmVpuNn1nluc/sq67kk5ezUZF9a9/s7dnDJ63d5KyoZZyxXWsmbSIaSnTsgF5S6faUleRQ1k9yRhJnuffCxm/AFAMl9lfcPX4BSV0rfcXlLr3R5CnIqaRBYhWtwqNQY6pVdlfWa2+/NVV4ioiqtr19YsWHFU9Wgah5XrrSaEFSj9XSZRvybAP410bbh1fCB4lr/Tzz+8grOeU7Zyd5kKuDr3AE5WOTxlZYxlvPURlbiicYLUj1tXCmucHmLCnPKmcCqXcNRSx+4+3efwTc++et9d9yP3wRPeSH7qeopv9DlDuRywAERoc7V3y+syJDiqW7cl+waXD1dZKcSmq+mQVa0nApdtW3hcnftGImmvgBkHHYmwuurMLupRr3D7ataICuqnDt/y9bcnTsJTHL5qmulvG1fN/y+jh2Mu70uX0VVvvor8SaNULLrhZdeENchc4jNPgl5ca1aVHC921dalO9ZqfBEY7be08bV0kqXu6AQeeq70j08LIyBbkmrqNPcAX/u+gOrdvUP2cbITwHcNlE5f+aDX/XWlDZ8wu3yLpPk3DZdD/dYjVVNz0+vmSG7XZ5jOJdy1omX+fRFTUuf4ZJU4na5ljLGcyl0VsBLEh8s/H93n3557B833XW9Ndl9uWUDUr4oK5xj45YWvLpqPabVVSEY8OP11RvQWFeNk485DFKuPemEqReAZtxgzFHo46gorJkdKgxduvTk+UGPz5XX0LFjc+fs/rah2YtOmgNNU3JXMgFbV7cuSkRSWHj8bPA8rUwIgU2vbjshtSn9AQATUuiajNOLak6fVzLr03nWiRiEEfF0r72hwFN0OAobL89rxrFSvZ7u1d8sDtVdiGDVWaAchwMwcOjRrZ62lTec7Vb6fwHs8v7MxZJGFLnc3vOqF3y11FO0NG/e8YFXPIPNd9RULPwONH9jzrQAQ6TjkYZI5yMNlYu/B9lVkvv+CBhu/duMzk1/OvurF+KBn/xrQrNH5pKxrLTx/OlF0z+WX3bpAU/Pmm8XBaqWIVRzTn7ZxVo9PWtvKi1u+jh8ZUfnTZscWu1pX33juY1l4V8BaN9XgYt8qHZ5Ss+pXvK9YlegKU/eDJGuJxtG2h5oqFz0XaieMlCeLmu49Z8zkoOrULno2+BqHhMjCQxsuWN+59Z/nbk/Cl2VcWSw5PBjKxd+A0zOaSwACRN9G2+dD8gom/s5MC7lbvtm3NOz7oeLNf9MFM+4Iu9sx0oPejpXfef9FN28cCIK/bHvw6Mo6nkVs66rCVafnrcO09Htnt51Py4rnvkJ+EoPA1HutInBNz0DW+6oLpv/VbiDTXnzjXQ97ena8LPzH7whfed5359Y3P7yguqzyyvLfzBtQZ0m5zHX2ZaNlvXtx8uyjIa51Tl1NGMMRtrA9rVtJ/mCXtTMqMgZgYUxhlQ8jebVrQuSqeQmACvf8c6eAW+u3Yj/PPkCTjnucGxr7cDCOTPw938/jlnT6lBTXZF3PXyq4ij0cbhUt0tzaZov6EW+Rs44gz/oRcQdgy/gyRv/l3EGb8AL2xRw+1x5h3eMMXj9HrhUV+GEK1CCW/GUQ3YV5zXjkBqA4iqD4qmErBXmScvAJRdkVykUTzUkrSBvWjUwHZor4C8J9PsmJGMFkiwrquKrgaSFcq9tMQ7N3wRJLYLirYakBpHz1CEmwRVsQry/BIqnClJORQCAyVD9jfC4WPHHTiM+EYW+4bcAl+BSPNX7lp3shuwqg+Kp2bfs/I0ZOXtr9y2LQBM0lzdQXRz2TETOHg2KJPsUxVOzT9lpgSbIailUbxUkxZtXdpp/OvR4L2RPBTiX8svZ1wCfG4Vb/wg24+qJTWxUCS5ZK4XsKUfeFRwmQfXVQVgExV2Sd42UlCAUTw0UTw1krWgfbd8D1V2qFfk3T+gZrCmBJMuapnjq8tchGFRfA2R3JVRvXaZOSOSsb9U/HZKrIps2/7Gcqq8RqqIFmqrS6n50d7UFJUGttqkCu9ud9xg4gTDcG2aqpqJqWnkeJcdgCxv9HUOsuLIQVdPKMwFXcqQ1TRNdLb2Frn535f9EoQtCZVkJqspL0NbRg4qyYuzs7EZRYRA+r+ddqcwdhY480+p9/Zl2WTsY21fa7JyHMibO3AMAyjs72meB8hVmrIHSPu6Psp0/TSAtsp0SYaLr5zRWBJH/oSHsKgdNoMxE+5l24oLeJbrxMmE58yaaYDkgMvVNIn9aGq2T/Sjz3hprnrxpf2RHE8l3rH7JFvvbmGlsvTJvuXer87y99+7p815ajG+lEy7txJ4r2v1ZzXtvYmJ90UTaz16tgcR2tW3K3R+NnUSGbLvOXY7xRSZBeW4x+7eDGENVlQGbZQvO9u5Bsnj+LFRXlqGspAiaqqC9qxfFhSEUhAK5p/V7Df06sRvZr9vd/9Cvzhq6wzs2BHJwcJhC7PcurnfZAz7zE8D638EiOwGQ2OvgoqioAMXFhSCR+ePsmdNARGOfd5cXgxA6hKULw9pl1bMFSAiTyDYA2bdrALQXZW6bsUz4V2GCcTlHWgZAQBhRkJ0GkQ3GpL2mZYyBhAXbiCNtIn1IKvSlCxewVevWawCIiHTn0XVwcHB4780x4mm8Inf85yOW3lPA+IGrOssIIz6yZcNQHBtHv0saaJdj7du61/5ggeIuzmPssJEYWpW29EGre833fZLqz11wYSA+8FqShEnda270cil36FdhpRAfWDGkm3htfxW6BOAKAHEA9030R7IsewFxCmfYYJiiddwIsYYIlzHgHgJ2TFYtvrlmLRhjX0bGoeX/nHb9Do34HRFMKTE79eHwXmd1C+5vLOscKY93joZ+PaBnL6UjMRjDf8/41q5Y7kcuQvuzb+iXR2PPnRbwIJjLlmHboEgK6w0Tg4HYE0d7XDm3h8K0YEdTeMOwYBXE/nukS82pp5luQo+l8HJpQSbQzf4odA7gQ1lFOarQ3YyxeZyzIiGok4iaVUWBaVkzOGdVQlC7bdtuIrqNAX9mDL8jQn/2t5UAPkXAK9il0Ks457MACCHEJgAJADWcYwfAmBBUB6CdMXgYY/OIkCSi9YwxlYjKGWMpxpgNoAzZRUfG2CzGWA0R9RHRZmAiezVZbj8RZM1VbNz7fDkxjK27sAkkfnuH87HMHsc8p/LsKmg2LYk8qoDv+j9fWsbGrkk04RWf7BbL0bxzCZnv2rfJ9lEO8F2Vwni2/JQ3LQFMTNCMyEfFMXq/xPPWA2NsXNo8sgPP1Pe+yjz294lbPmm3++V5HbAy5ZhAnYzKmY12B/soc3btcij2Nttz3iR8V5vOW2YGsKxvCRtt22If1820j/2QM9u3PEY7DTaxOhm7/4m0/dH9zfsxfaXdb2Jvvjts/DruqKzzpGV7jCZzmp/foSNIa0pQXRRkF2kuqSnTCA4MjyREIWxx55fR8rGfZuJBPPgctMoinO51SWdIEpdyPjkyMT+zp5sWDXtc0lzOec4GrkoEP7NrLZuE2y1PZ3kUh0siMG6XJnVqBpDaH4U+3ltqTGZEdK0QCBDRAgZcb1qWn4iuFwKriWiIc76ZiIoIOJ0zvppIPLxHnpStfMY5O0sIcSyARgAjnLHvC6LfgHCTIFIBfJYzfIUIXxFEBoAGAP9FZrvUz4moC8AzjOH/AJYCcDYR3QTQeiIkGfBdAnpy3WBKTyTSSXdqZCDi8vhcuXUNA8KDMaQSOsIDUajjtq0xxsac4DJjAkJ0OIZkPI3IUAxSjsgTDIAtBKIjcehmenCilaJbiOuxdujR7TmdPxgDbDMOI9kNKboTerR1rBrHnlPaVX4z1Q8z1Qs9ug2arzb39hrGoMdaoKcikf7IxLbLxNKwAoqRSoebwbma96FPDa+BpfcjHdkCshNjafdW5kzaHqQjW6C4CnPmCwDp8HokUtT//b9NLODJ3E+C1v4WCSO2A3q0Je+YyUoPwUx2QY9tgxGrz1tmPd4GM9WNdLQZsubLL4uR9dBTseHOwYmdpjYcg1Hiiup6ZBNAqX3kvQaW3puRnbs4Z5kzslsHK9UGPboFkuLN4/gkkI5uRjiJgWO/NHFVkzaR8KS7SI9sZUzOGa8JECb06BYAKvToNoBn4jW9Vc6AbSZhxlvAmAQ9tq/6G4ae7E4PRDChZ3DldliLp+sJPbYZmr8sr5z12A6YqXakI5sgKXL+9jyyDla6A+nIRoDq8+abjqxHKp0aWbs9s446sUEqt2zLhhAi50SDsg6eti1gW/Ze15Z3Uw4ik842Rd7nLzNjFRBCCNp3hJW3TUkAHy2tOfHqwvpzDzz0KwDbiKFvy++XTjfbXwPwPACUhzAnGCq7vmzWJ4pkrSjvkDvS+TjSkS0onnEtJMWTZ7AlMLLzvhOEGUfR9I8i33IBCQOD2+86rrt93ToA/3egCwspAD1ExAEUELAUREMAiolIYwzbiegVAH2MsT8LsZsy3w23S2MA6wcoDkAHsIhxFodNmwXhw9nh7xuC0AjgZAAPA0gDWAygG4DEGPsx52yVprHeZNImAO/LlAUeBqzGPgKfbOvevJnLc+9485l1H1JkRcndeAmpZKrLNM3B155MzZOlXfHAdDMdUGQ1wRm3Rx+KZDLZags7FX8sMTvfyEwIgUQisTKaCt8/0QpI6nh4qPOp4xNDr9blG8kJ27ZSqUhzPLyjMNbzREXWCEGWYIphMrdHE9HRWYltmbqejjanE3+sHGn7R3G+61umntbTsX8NxSe2bPLYmxg6+33JO7vX3/JxRdXybsEy9WTYMFLt5qobZsiK4sr25ZQ0mF/mMFSZ9NEyG+n4gGXpfR1vfGmmJMtKvqmJno51cYZ/PvwaJux/nUjjvoGdDyyK9T5VmW96YVumoaejW5PxO8vD7fcWj5bZsJlm2VA9KsVGy2yZRsrQo1v1jb+oVzVXMK8sjHTCNOJ/WbNjYsFO+iJo97gH/9q55rsflhVVy5fW0BMDlpnubX/zKzNlWR7d+kRJnQU0GWlZIoOy01Zdj3XZlhnVX/vcDCln9I1MuzfSsVaZs4f2Z+qYMvFiuH/Vw3r800uyAWBydGSC9HS0RRDjqZFVDdlASRAEntKZ3+uiyLi2bxvpyFYa2hiI9T1dla9vt23LNtLRZyQZqyZS3o/9DKnXfmHc1bf1D1UjbX8ryP+sGEnTiG5Nb7ilUdNcgdG2kTaZBwBcCiVH24ZppKOmEd/Rsfo7Taqq5n1OjHRyWNjGXR/7OeITlbNg1ss9Hf2t1tN2Y6Ya9z5yEsLGUF94mHPOktFUQab7oj2smJnPlmVhsGekPxZOukb6I4HccmYwDRMjA5E1KSOx6WAo83uvB/N7UOouWApfxcl73U5IjGXC8k1Q15OwEOl6xB+Kt4/1iX4XfJq7yOuveP8+Q7/aZhzCSiBQeWqeuAkAmAQj3g493gl/xSnYV6S45NBaHhpa17C/JvfR264BcHpW6R4D4ArG2PeIaCkAlTGsIsJPARxDhOsBagVgAChxaUogrZvjZ3IKgCMBuHTDSBPhW8gEVHkJwHTOuCEY3UdEfwCQYozdisxs32CMrQZwDxH5Abgy5aFNtk09yV1qexOAnwI4jIAvM8ZeBNEbuW7wj/+9LXnF6Z/47tz6xb92a+68ndVApC/RNbIzPad6caGmaEyRVFq989XSLb1rfx10FfzqvMOueD6hRyUhBPrDPdFwatieVjYrpMgKy92Z2Ogd6Rq5+e/fmrCR8tgv4fVHvmecU1M8FMgXGSltQLzZguH60rSrsjDt4wwo8sH+4r11HwwnXR/4yFGdn13akIhbNlhSh/3KFml4YUPSVxxIevIZ82IpWGt3ygPX3WZNKOzk9/4GS5Zw6ykLY3cHPTEln0kwkoT+2lYePWZ2pNDngiRxYFuvov3u2fpbfZq14rbLdtw5lIAkCAgnkFzfhuQRTeHCbAjcvctYAP0RxN7/DSWM/YiUefQX8cwTN6VXjcoup0IyIFa18qHGsqSvPJR0MwYE3bC//vf6a5KmsugLp+74Uk2xZQoBJHRYb27H8NyaeLA4ENfyzH5YLAl9fTsb+NqfJhaU+qIfQP/5tXTjUTOjvw14cj/nRMBIAsl1O5E4vClc5NXAFQn08jZ/8N7XK35V5E3f+7NL2h8ejEMSAhiKI97WD31OzUihR8s9tLEFMBRD5KSvIbI/HfGxX8KOf1xvfWRW9XCBKufO37SBjgGMpE2wGZVDIVkCCrywb3yw/H07hgLXH9s0+IWPHDPckdTBDQvUNoBhietaXYnuy/ucmBC9YTa47NsTn+0+vhL/PGFe8ulif9KVTzkkdVibOthwbUk8VBKMqxyAEMA3/9X4TcY5fvDB7T/IGtlYIg193U4WnlkVLSjyI+9zMhhDalsvhvZHziuSD71xmH3mRem4MU+WJJbLEiKEoFgqsp0zSYpHkg0S54wzLnrCndXtQy3nz6lcdKfPFYgTiNnCFuHE8BZNdgViw/FqznMGxYRlW1Y4MfzGTX+9vu1gKPR5deOenr2Efo3Fk/jLff/FzGl1eP9xR+wxg6estWfP0K/2rlWTvRmvJ2psIHtiY1zChEK/Amxs2/D+KHQBYBWAowB8FkCEMTxOhE1EdCSAbQC2E2E2YzgKBEbAXbLEV1q2eAigUw3T2opd4TYjAN7MzrZPIsIzAJ5gwGLKrJ2vyM7AXwMwDKBVktg6IibbtrgdoNMAdhKAtcisw69gQGqPW28AcDQDJAL+yTlrse38kvzrE7frALr2Qy6J0Tfz5887TZaVI8KJoVNv+vcX/rWjZaexp/47CG2Xln0HYQDhiU7qs/JEQ+MMv9/vOZ1zfvT3HqxvbN688ZFxXfKoBWYC7J/V7Ia/wrohz9LHW5vdrvqYM3fWiaqqHCuE8C391rTfdbW3DO/l/iaAud9yPv1bGB6V3QTKPCa7xmkzSvw+76mMsdmf+evM8q3NG1/eU49MfNVr4nzx9zCy1quJ0rlLzvWHaapyVNeIJ7zweuWvvd0tiVztfrK55GbEgYnPNoHMck917QypMOQ5UZL44f98zXXYDX8cXrGXMg9Ptpy/cxcEMOYbNJG8x6ws05tmTfd63CczxtgHfzX/Z82b12/dI23PwZDxY397TjyG51Zl+/SJ8uLYMtS8uZ+TZXnayh0vtWzauPkJTDFsAeS0H3GOles24Z6HnsRXPnk57rznP+gfGsF5Z5yAx5a/ArfLhcsuOCMTYObAmsY7xNsI/aqpXIBwI2W83UfXbwxbsIeJBEkcusS5MC1BjOGBTDwVClu2sCSJf4czFiIgJkRmgqHIfCuAi0fHO5wx2xYEzrmfiBIMRLpp6ZyzmVmHq3stS6QAQJbYTZzzIGNcZoyFOSPbtu3nCTAMc9dITJb4A4yx5QTIIIxYtm0eLJHOmj2rRJaVq7Im9bNdqvuIrKVhyuLzqqfKEj+RMeZ2qdI1tTXVz7V3dCamanmrKitdisyvkTgLcsaPKgi4z+4C/oopjsetnidJ7AgAstslf7y8vPyN3t5eY6qWt6amOqDI/BrOmcYYP7WkyHNybzf+M9Xl7HWzxZLELuScMVWRrpo9e/YDmzdv7pzCRWYuTb5ckth0AHCp/CMAvoMpvut7zpw51aqiXsk5L2Rg1zU0NLy0Y8eOBN41EIoKgpgzowFVFaVYtX4Lnn91FSpKi7B20zZ88ooL4XJpeDcyYYWuG4KypvM9iWTMxRhv1hjc3ZQsDHuPEaxhCrH3mYnYzXTEGAszhs8z4HWRdbSwbLJh28PY3afpLaZIyxb2xEbkB46qqOczxpYQkcUYK5Bl+Rq/3/9GLBYb2wu/6Y69G2zGs6UD+NIfQI/dBAiROy0RsG5HxmF7QUPudIwBa1uBD/9491BWs2bNCkqSfA0AFxGZnEsn+vyB9wN4aPzv91XmlAG8tgX0qd+A8qVlDIgmgZc3gr74h32n7Q8DP74X9Nibu8pcUFh4LOf8dCKyATBJkq5paGh4bMeOHQNj5f09GCi/PFp7gY/8BNT3D2B7d/60G9uAC38AuukK4KzDwVxa7u72zW3AFT/dXc4zZswok2X5KmR8QAzO+VlFRUVH9vb2vjBROY/K7s9Pgm5/dN+yG4oCv3wIdN+LwAu3gBXn2EzDGNA9BNzwV9Arm3elCPgDp3POj83KWZUk6ZqmpqZnt23bNjZrPud9YN+8BCzXsS+MAVs7gXNvBH3jQ8AFx4DlOvaFMWBNK3DJj0E/uwY4eSGYltsLAq9sBj7+i93lrGmKrKrqlYyxUiIyGWOzFEW5GMDPx//2D58He99MsFyn4AkCnl4N+sIdoL9fDza/HiyXid60gYdfBd3wV9CD3wZrqsy9kSVlAP94DvTT+3eVuampaaYsy5dkTVyCc/7huXPn/H3jxk27nePw1A/Bqopy1/dwDPj1w6B/PA96/ifgJcHc7blnGLjx76CV24EnbgIL+XLXyY4+4NpfgjoHd0+haerFjLGFRATO+aler/dEAI+8i/Q5vB4PGmoqEU+mEI7GMK2uGj6vB00NtZjV1ABZkiYQBnQKjhB3vZWYS2NBicNOpKyYzyO7bQGPboioEKIma0Icb/6pBEBz587t3bhxI437TlYk1mHa+x8MlzEWIKICSeJJj0sdTpppYRt5jR1sKhhDmqZPC2ku95c5Z2FZVj5i2/a/LMsKJRLxO3fubNsAAI/fBJ/XhUuCXhwhS8jphZI2YMaSWKHKKPR7MDe3Cx1YUkcqpaMv6EW1LGGvpyCxzFGW5lAUz/aF8cBHfgI9o9BnHivLygckSXJJkrSQiB6yLMvd19P1s/7B4TQAPPsTzPGouMLvQSnynPaUSKPPsLBWU3C414WCfGmHY2gThGafC0e7tfxHog5F0RxO4C/nfQ99paXFanFx6ec450xRlAuEsJczxlkqlXq2ubn5KQB45mYoCscH/B6cqim5j/Y0LdhDUaxRZFgBD5YqMnKeIKWbMIdjeMOtwuv3YEGuzp1l6kMfiOCxtTvYo9f/MbOgNmvWrLNkWT5WluUKxlghEb1gWZbYuHHDr4gyaxUv/hRLNQWX+tz7lF27LdDsc+NIj4acHjhCAINRbCdCZ4EPR6kKcp6gZtsQQ1Gs6xjCXZf/BCMN9XUej9f7Jc6luKIolwsh/kVERaZh3Ldp8+ZXs3J2u2Rc6HPjeEXO3ZZNC9ZgBK+rCtwhLxZKUu4jTnUD+nAcr7pVlAY8mJWv3ad0pIZieOgvz/qe/ttTcZEZODXNUFXtWlmWo5zzC2zbvoOIGhKJxE9aWloGAeD5W1ClKbjS70ZjvlPRYklEwwmsCHkxz+dGVb600SQGkmms8nuw1OtCMfKcHhhOoHs4zv5y9rdpGwDMnj37clVV6znnCxhjcWHbLZZtt2/YsOGvAPCrzzK2uJ5OdKu4wK0hZ5B9QcBIDNtsga6gB0dpap76FhAjcWwggVjQiyNUJfcRtZYNeySGV4YT+Of538ssIc2ZPbtaUdXfEJHMGJvNGNtMRD3Dw0Of75hC1r2td4BZDL8pnvHlT5bMvOwtTnGWZSGZSsPtdiEciYGI4PN6YFk2fF439ua7TGSj443/R/GeVy6a+0ncDwAbfosTvMVzHq858ncuSfbmUW4Sop2PIdL1OKoPvwWM5XeKG2q5C3qsA5ULv7YP1cbRt+lWDG2/64dzP4Fvjpuh25pu4GecsXYA30umrbOI8HEifA7ApwFsB/DrcTldnx1Zfnncd98AUAzgI9jfhVXg/UT0BQBu2xYsmTZ+LgQzAFqsaeovdN14S9Q3zthCQXS+oii/NE1z+H/VeFKpZCqt6zcXF5f4AXyQc/5KZ2fHiy5tl3exW8UF5RUzfhWsWqYxruUcFgszhnDHv6+UXaU8UH6qhFwVzziSg6/CSLQjWH0OGM/5DEPYcXjaH/ywV+scAfAEAMSi0XVd3T2vLFmy5GoA9Zzx3yUTMVWIjK3lF9fC5/fIPyyrPe1cV8EC5NvDlw5vRLzvWSNQuUxV/Q159wT7hl6j5PBKM1h9vqp48p1oRPD1PQdvz+shAN+wBUQ0Ev6/YKggDeAUImzcumX9PwqLywIY9bcVOKqktOJ3BbXnlWQOv8hx4AQZ8Hb91yZhULD6PDm/7BLwdPz7KlkNsUDFmXnqg8E2RuBuv/98n2vwXACvcYAlk4mX29s7Hlu8ePE3AExbs2bNrY2NDQGfz4NYLIl7voYiv9f1s+Las07QAjPyytk/vJISg6+aoZrzVdldmVd23v7nSY9ts0K1FyqSWpg7Ldnw9Dxuu7UNEoBbLcu2EonkLwsLCwHgg4yxN4YGB5aDsbHeSgJOKy6t+01B9bl+Jnlyyo7sFNyd/76Sy14WrFwmgck5700YEbg77rta89ZJvrJTOHIf1QU73Qd157/PvPKkyFl/eypzKmE6ne6KxxPfqKioeB8RnclA9ySTSSMRj1kAsLQR3K3iy6U1x3zBW3xsvlkFQskO+Dsf/KS/5FjFVbCY5auTQLQZ0Z7HjWDlmarqz19/vpFVUNuebvr7V+mKS39Sbeh6+j+bN28OL1269DYAkTVr197U0FAfdLtdPJVKi2klNC0YCPy2uO68Wfuu7+eEHttuh2ovUiS1YB/1/ahtmxEKVV8gM8mbu/5EGq7Ohy9V+loTAO7N9HUpMkzjekVRS2RZ/lE0Gvmc1+v167qh4iD6VewvM64Drf0NDNsYhrDeGjCUM8DvzWxNLi4I7JoTajKIBMReDiAQZhS2EbfT5i5LtWFBuKy0sI1Ypg/OWf82zFQ/hBWHbSTA5XwbF0xYqQEIMwphpZDzuQFAwoSVHkY8nfE5GZ+SE2GmANyyLIUsy64HMD+bZg0DemVFUi1LnENEswAcDmDt9m3bFGS83hdnvxsAY5yBjiHguOzM/gHGmExEJzAGxhir4Izdb9liCwBIkuS2bfuLAEKMsa8i47meIqIrARxnGEaYc/YcEd5PRGUM2ME4f4SIzgNwnWVZacbYXQAqiOgUxqAzxh4gwghA5xChiTHsZMB9gvbL2WZCdHb16AD0kpLSsXh+kUjUjIzzvCrwY5G//GStZOZH8wYbIWHDSHQp7oK5KJp2cZ4TuCT06SNwBaajZObH8gSeyG4hircFrGRnw+h3Xd0943cbMBJELa07xzySj5qNYp+vcH7R9I/BXTAjbxCM1EgzrFSfWjzjSqje8txpuYRYdw0joaulsz4OSfXlfgC4BEnxIjWysumNX9jy4V8YtACEC4uKtV0zNZu6urrHylzoxyJfyZKS0llXZ7aF5AlaI4yIBFj7lh0AM7FTdgWbUDT98jz1wSBsHenw2hI7NViZXYCi9vaOyB4WJWpt3REe/WJaBao8vtJ5JTOvhuqtyiu7eG89E2ZELZl5deYErpyykyGrXhbrXa6UzLwaXFLzyhmIS6nwhiYA6OjsNAAYRUVF/uxeYt7R2WUDu+IMhHw4LFB2lL9k5pXYlweumWqVVW9t5tjSPCeREZnQY2sUf8XpCNVdkPVMzqHQzRiSw69VlhmRMmSPGW5v70gAQEVFBQPACIRt27ePPeu//Rw8Xrf6vsKGi+EvPzHvyXZmqg/p8Gq1aPpH4C5YkPcZ1KPNMOKbsm2/Jm/9JQYakRh4Yca8+rQL6NRbW9/qyLpjx65nsKIADd5gXWPJrGsgKb591LeLx3qX89JZV4MxJXe9cAlAQjISnSiZeVX++mMcttHjSUdbZ42Vb+fOruw6eiEAZpqWvmnT5pZ9R81654mn8YTc8fB5RmJb9aSEftUjFB9pfnEojjVj19DRosQ63uxc+a2jFFcBz614baQiW0ZsM6J3vPm1Eln15pyiC9ukVHjDEJEpOt74agmXtdy7SawUpUY2dArK+GvteZcWEZ1sWfZ9yGxPo2yaKwhYaVlCJqJbAdydXRO0TdM8DsBtAO7PpheWLRYR8BsAKxjDEiLMJqJnANxChL8R0WnEqOLPP77qs1d+7U+kKoqRsu2NAK4lotsBLCfCHxnLxDYAYIHgAVEBAB8BPyQhJGQUJgEwiWgugB8AWEmEBdltdK8C+DqAu4lQDcADTL5Cn5CzAgdnTM4+8CK39iABxuRsMIF9pbXBpH3kOZZYxv4EaPK5wCQu8YxizLN1YvTYJK6AMb6PtJnOmzElG4Anzw4s2hVZyzNB/xRVhsR51nqeN29kI7pNQHYZnTax+gCBMQ6+H12bWwWXJIlNTHYc4Eo2gFC++7Mz98eVTIXnSks0Juf9aRuKBM74qNIQufPORjzbp+xGb3A0Ldn7kHM22th+BPP0uwEuMc73WY+UDQooZcyi+yoLY2Cj0QH3UX8sM5uBxCfcnhnn2Q32+6xvNm5v8z7qm/FsWpH7VDui7EFefGLlpal33ugTq9iTh00f/Eht6sXDFekAQ78yIJZEciiGJ5Z9Bx2jXx/3ZfQ8eqN5dUF8zUlBDwI5BwMCNBTFuqSBwZL460f73HDnaiqGBXsojpW2DaM48cr7XEqObYsMSOkwh2JYMaMmM8iQ92KJeEOSpe/Zlv1BypjOdxnrgcMAdCmydLNp2aUAmCBanB29/wiZPd9FAFsIUA2ANUTYgcyWKg3AADJOKjIDK/vGzx+QAZipdBqc898Q0QqAjiHCVZn2wbYA1CBL/O+WTQsIWAJgBIBgjAUYY6uJaFDTtL+l0+njAUxDZu/5TgDDjLEOImoFcCKAzVzikr2fZzk67E+wUZrkPPc7NU0FB2E6qOnpXdYupobgRtXNpMua3kUSZnu3eByqHDmL5pYXKl93e7z1YAca+pUhpFqkqPGmv18vvnfpzRln8Ae+DX9tKfuU1+N7P5cUnqvWZAIrU+K9hmlH3G7fdMblPGkJiho73RawXS5ffe6RK4NPtaGoseN6h8XXALS8RaGDsQHLst8EsBS7ttGPxgTaCaDatOwvAFjIGHsNQBsRFQP4fwAWAOgG0XYAYcbYEBG1cc6iJMiiXfnsOYT0CSG+gcz+zH4AgwB1ACwJoNoWdB4RzQewmHP2MyHoOCJi2Zl5gWEYFzKGndk48RHO2RYhSAOIM4YnAdZERKcQoRwHaV+ng4ODg8PUociPS0pqTz+raNqHccDHFTEG24iiZ8NPp9Xr2x8D8BSQCf3qD1ZeXbngawFJK8rrQxFpf2hOcngtyuZ+GVxx5xmxCQy13DVXGFGUzPrkPtbQDQw03zE3tuPV5wH8enxKE8A/srNoIBOw5Q7G2AAyEdm6GGMvElE5gCCA+4moWZalpy3LvgVAFYAHAHRLEn/ZssVniehUAE0k6Ckw7AThT8gEV1kOwM/GDlBBgghPAjgBQAmAm1VFuscwRSGAGiLMRibUKwlBAQB3AXiTiNYDuJ1INGZ//ykAy4SgWQBeAWGAgCBAgwC+KITY6DRzBwcHh0ObZ38A5ncjqPlnwV0wf+9LFnvukWL5TSNEFjRvqSvg3j5mWg+4oamuoOouXLRPPwcjvhNmqgeeooX5vdy5BPfwPOixTrgL8zgkAwDjcAWbEPK9WgHsbnI3Afxm3FLIqwBezX6+HcjEGl+wYMHNiUQCLS0tBACWZaOxsfGXANDa2pr5LmPWfrShtuKxlCHQ29s3ekDPumzeDwoidPePjJrDLAD/mje78f5o3ER7Rwfphg0Aserq6q9bloXe3l5qbKh9jZOB7Tt7xwpZU1Pzg0AggA0bNoAx1lxWVrZcYoTu3n4iAJVlRS+bgmFgYJDePc1xn9vV35ki5LTT5fgBY/ub+WSnZvtOTRPPmcY/5exglPfgSiM7Wp70LIH9PBWQ/c9ubc+0ky5rhoPWPtgB/CJn02d7aeOHoNm9NDTupnP4QdiWDcM0oSgKJFmCaZggQVBVZe8+fpQ9myxn6Nd9+DmM9j25/BbG0rKsvwPtuma+Pop2nbW3365/69ate0vuo4p8T3a09+yXEt2w+a35dHZ2jn3XuqP9LX/v6OjIuFplBdTX17dbmu6+oSmhyHUTNgl9nw9eJsJeGmSn8yt2xgAmQdjpCTzMBJAJISZ2uhgAxJIQQc2yyTb2edQjkQ0SaZAw93nUI5GVTWsh/zGnLJOWCIPRiZU5bcAUdjrbSeU+cCJ7LA2EMLJ9XB4ZE2XS7qs+kD1ljywSYuLLn7EUhOyzxERkB7JA9gRlJyyQ0EEi6ziZK3oIMjsriCZeZsOCJWwdBMorOwIAYWXb8j7aPVGmHLYxATkLEAmy7ImXOZwABXxkZbYw5cufg0iAyIKw9X0c8ctAQoCEBbGv5wQ8c3+CyJjght60CdtlW4JoX/XNx2RHJHLP/sbq2wLZZlaX8zxtHxDCgi3wLpoMZRDjQ5rmuL+Wtk488OizSOkGTj/xKDz0+HOYN2saLlx2Su5IcYdK6FeHA6M/glc93U/EhRX3gUk5dQ3ZOhJDK1J6bItsJDqU0Y6HMYAzBjs7IgNjSEc2wUr3QJgpgMt58kwjNvTGQF8YzRMt7yNvoP/sI4df79/y62marzH/sZCJNkpHNyb7NvzcI7srx/btjh6WJcSuU6PT0S12OrIp3bP+Fm/e/dEgJMNrRTRprzvh+onFNOgdwRsu75udfO2Pq5ns3XveLDNajg+8opPQSdiWi3Fl7OhNzhgE0djknGwD8aE306nIZm4mB9RMp52jc7fiSIS3dfZHsXOicl7fho4lWt+bfRtvPUN2V+dVHnpsq0hFNqd6193ilbTiMU9kPtr50i45p0bWWkayzehZe7OHK/48shCID71hhBPYMNEyD8Xwstbz4pAQKGJczd3uhIn44Mo0H9nIzHREG233b5Uzg7CSSI40J810VEmFW5V8HbEww4hHOlu7RyYep/7oLyK14lbjuYHtfzkqPriK5x4LMdj6INKxnfGBLXd4VH8Tz92eGcxkF6ViHcm+jbd5FE81y19/2xBL6mvf2DKxMxLaB7Bd1to29qz7yRJJLcprek2OrLXMVHumvuWM6Xdv7RkkEB98zRBWTGDtzS4mqXmPqI32r4gMxcYsq4cODGht60L/0AhWr2/G9PpqdHT3wrJsLDvl2EM/9KvDgdE1hP8EPe1XmIn22fmsLUKAoilskqXBQDqyrYYxQOIQ27tR29yJw09ehP+ockbB2QJW0kDCSPzTzxh4vjyHYljV2s9fxgRPDP3+P5A6crb9dZm9vMKlvuzPlzapI5bQsdVIPzNHkeEGAM5Az63DKV43Bo6YgbW2AEfmFKnBlIE2U39knixBzffIRZPoHoixByc6LF7VgjeD3qGP2vq/j5B4bnkQAcNxtKgyTCN5z0ye2U1EA2GEXmvGGcfMxX8LfIgTgQkBGo6j2a1B02OtDXmP3hSwh2J4NW7K6yYaV+maX2Jk+c3GF6TOZ88alV0ueSTSGE6baDX1x+bJErTRe3l6Nc6uLMKWBQ3YOirnWAq9lkCPmX5wnsTzPOcEhJPY2RtmD09Uzq19eM6j9VxhJe9dyHne8MQZ2alQ9djOxoyCAXUMoHRtK048cSEe9mpIUyaqnBhJYKPXNVKUDm/KF50Nugl7MIrn13Wxlv2YMomhGH6h9K3dkR5eW5bPoGVaSIeT2BBMvzpNHXy1AMg8gys24/C0Ad+JC/GsyMgZSR2JWAqbDf3ZOaqMfNFCWDyFyFAcD336t5hQHP/zv4+252+JX0vWo6coUt4T81g0hR7LRp+ZemB+NiIf0gaUZ9finDl1eKWhDN2CwIUACyfQxhiSRvLemRLPf2JeNImN4SQePxT75FRah8ftwqJ5M1FSVIAFs5sQjSf2ORBwFLoDrvo50sg4DT7wNrP4KoAzATwIvN0R8/5t2Vv2bbQB+NV+/GT8qUslAM4BoAPSzwF7z05sgp3ExG1cN/wVNjIOl8vfpozPB3AFMqf3HUBs6v0Lknjy9WgGJm492V3OrB6gSwEMA/LNgLWnwB6dbDlf8wsY2XwffZsCugaZg5meyMr6gE2NE+Hsb2MQwB/f3rW4CxB3AtAAdgdAI3skePJg9BsnfAUrAazcj5+Mb7eHAbgamZMwf4X3ELKUDbEw6tuzZ1MRhA+cfgJOPeFISJxDliQcffhCaKoKVckRmIfl8h7ZczPY3kcCbDTNPn0WsmkY9pEnxufHHIX+LoEzVieIrgBQD+Bjqip92TCm/Ib6DwA4AsBMwD4SwAtTubCSJAVs274GQDmA6yRJet627fjUbx10CYC5AAKM2XcRYe1ULi1jrIyIrkLm3IePq4r8pmFaxtSXszgWwBkAPACdjcxOmymLokiyadpXIRMg7EqJs3/bgrrwHmH2J0Grf42UleqElRrJqURd0q65jlsGIFKw9L2viNhmBJYeNpPGrkPF0iYszUxYZqIH5CrLq3z1eBtsYwRmsh88X9x3EjDi7bD1AZipQWSCOOVKasBI9CCWyhxC5ij0dwGCxjptALjINO2/ArvCD065AQhnpULQx5HxSykEcLUkSa/Ztq1PWRkLcRqAk7IfTxJCnIzMVsmpO9DjvEEIcXn2Yw0RXVEQCn5lJByZsoM9IjoXmRDRAHCOadl/whQ/Zphz7hZCfByZ7boAcJXE2SO2oOGpWmbLspcAuCD7caEt6EIAv3wv9ZuRJB7kbf89ORle38gl+cAc2hhgGQkRj+58aiiON0e/jqXRLEc7n2h78+snq5pfxt6cSxlAQiCdaO8TViLZ9toXa2XVLeXyXRC2RXp8R7cgW+ivfb5aklWWK61tGUKP79iuyBmrpKPQp/rsPNNpnw5gRXaG3kuED8uyvN6yLHsqlpmIzgGgAtiKTBChuULY75uqs3RZkoKWbV8MYDUy0QY7iehDsiw9a1l2bOoqR/FBAEkAO7L/Hx2ORBdM1cEeY6w8e/7Cm9m23EVElyqy9IZpTenB3rEAmpCJzRECEBKCzkImBPZUtDYptm1/GEBH9vnrB7BM4vx+W4ipfD78pHLbQ3j5IyfFr2swNy5V5QMM/QqwSBLJnf145tKb0Tf65UnXY/Cer9tfqi5qPTHkzX0ComWDesLYkExjsKpo69E+F3J63RkWRM8IVuomzJrizUe41dx6OmXA7Atjxex6bHIU+rsAxqAxxq6nTBz7bzHGPgqgkYi8GHdgxlTB43Gr6bTeykDnC6JvAuiTJPZPxpj//LNPZfc9+MSU2/ghSfDbgv1WkqQhy7LuBPBZxqAKQT5kAiFNObwe1ZNKm6sBuocIP0dmLXo5QHzqtmXmkyTpB0SC27b4GYBrGEOxEMIPYEoqdE1VmWlZccbYZULY5xNhAQNuAEO1KnPFMIU5BQcgPsbYo5zz223b/gOAXzKgm0De91Lf+amzcWRpoec2t7eskkGiA5ygs2KvDs3Vc8o/v259/sM/wiAAPPQdFNaUSj/w+spPkiQ3o70fYQ0VxGpdfUOWlY65PJV1nKt50tqsVuvtFUIIt7eigjE550YElSymubq3dQ0YnwawwVHoUxhZ4QxAM2XOlj8JACOiQQCtsiwz256KE3RuyorrOUNPjrZBYdu0aVpjNXvupTemppwl6tIN6mQM07LPSYwI62WZMyGmqPWarFRRgJbHkrKUzmxstgGsZYwxVZGYblhTbuAkhGgRQmznnB2elXOYCGu5BDZVPULMjBHsVdu2ibGMVykBrRJjLRKfmi7PRBQG8DQyR1kzAAYBr3K2N++wQ5cCH84vqj1naXHTR3Mp6f2QRuZo66413/1gg7HpbgCPAUB5CLN8wepzqxf/wCdpRTlzZGAYab+/Ijn4OioWfgdMcue92uDW/6uwjSGUzf0ykCeqHAkLfZturYjGnz3NUehTHMsUubfu6PqUfDKTycRey9XS2jFle5JEau9yNk1rSpc5kQJc6p5Kk0g3rKla7L3L2aIpK2ch7L2WzRZEKd1+V8nZtsV7Rps33w5mc3gVdw1Ub+VYFDfaNbiEZVlQNRVjx7aMBpIa1fR7aHyiIijukOpz7dqe6HVBUVSvrPprIeVzdGMyXP5G6NGtUH01+UO/MglaoB56TM4cqbyPI241XzVCXhQBjsndwcHBweEQw7AAScmq8NEjkjnH+o3bsHLtJixZMAtPPPcqrvzQOSgIBkAAYvEEPB4XbMuGpqnQdQNulwbO+eh0GNjT641G/9nXaZNi1y+JgLyHv9Gu0K/7ypfEaMChtxf61cHBwcHB4V0FZWazazduxV33Pwqvx43XVq3HjvYunHzM4QhHY1izYSsaaivBOcP0+hps39mBT330ot2jxk1xGwd3atrBwcHB4ZAmuw+9qqIUjbVVqKksQ21lOZbMn41NW1vx2PJXEAr4EPB7URAM4Oe//xt8Xg9cbte76jYdhe7g4ODgcOgjBGZOq0NDbSUGh8M4fPFczJnRgCMWz8NHLz4boaAfZcWFOGLxXDDGcPxRS98a6tUJ/fregYiIvTuPIiRBB8XNmA6CjMfeTf7zfnCds4gmP//0QXKAGyvqQSjzwZDDHuUmcRD8vw5WqQ+WOERGCAdL1nQwyz55dcV2nZhHQFVFGb7+uaszAfD5uFP3GINtWZAlCc2t7bjk/DMxrb4mGy17NA3HroNK99TyDHlPxBv97VioVpZ/nj0a+jXvCX7ZvzMGIif0a17OOP1MJa2nSyoqygtVVd2nlmaM0dDQUGlvb68nEAg0XHXVVXNt254UC4jL5bKffvrpxu7ubs+JJ544p6ysLDEZD5Isy3Zzc3OVaZjBhhkN8xYuWjhpe4EVWaZ777uvSJZlcfHFF89JpVLSZORrGIa6fft2v8fjqb366qvnWJY1KfnKskwbNmyoWbt2rbupqanpyCOPFIZh8EnK2968eXOZZVmFl19++XzO+aT1goZhSP/5z3+Cbre74sILL5yTTCYnRR7JZNLb1tbm8Xo9DZMpZ1VVxauvrmhqbWn1LFy4cNasOXP8tmVNyihYkiS7ra2tMRaLeurqmuYsXXpYmIgmJW9N08RDDz5YkUqnC84999x5k1WHkiSJTZs2FXHOtcmUM+ec2tvbC1asWOEtLy+vO/XUU+ek0+nJelbE1q1bp0WjUc+8efNnnXHGGSEhBBuvTIcHhhPE7b7TTj8z+fnPffYd1/oLPgta+StEjfhWpCM7sgp131gAaosZrjjnMIhkD3Yd/MtgGyPQEwN6JLUrNkVCh67qESM90uySXWWgnNvWgHR4I6x0H1LhrZBkf+6RFgmkw5th6SNIhVv2EfpVRzraikgyE+zm0DvZ/gA5/thjpLKKyiPdbs/HAwH/kX6/PzTm5bjvEbGUTqdDmqbFJEma1PjUhmGoiUTCHwwGRzjnYhLz9di27XK5XCOMsUl98GKxWJBzbnu93kmLiU5ELJ1OF8iynFIUJTWZ5bVtW45EIqFAIBCWZdma5PrzCSEkl8sVmeQmyyKRSFBRFNPj8SQmUc48lUoVqKoal2V5UoO+WJalxuPxgN/vD0uSZE1yHaq6rvvdbvcIY2xSzU7JZNJnWZYSCARGJtXKkk4HGGOkadqkBjESQvBoNBryeDwJVVUntQ51XVcikUigqLAoLMmSvefcPZVKpWPx2LZEPPH3cDj8r0cfe/QdPxfh2ZuxMOhXb/F6S2dw6cDHMqaZthKxgcd29IobLv4hwgDw+E0IloTYD92ektMU1aPkmqGTIKRTA922rUc0d1mToqhy7nqzyUz1t5m2sNyeskZJlnnu9m4JM9230bKsLy/+NJodhT5+FK5I/PwLLrq8oqLiR+878siKuXPnwu/3YX/M6Iyxg2KGYixzxudkBzoZvbeDVeaDkffBLDPnHAcjmMy7Vc4Hy6R6sOR8sJ/Bd1t7Pth558rXMAzs3LkTr7yyQm9tbblzeGj46//5739G8A7y8+sgTSvHkbXFWKTKYAcYKQ7RJFK9YSw///vYMf5v//omGspCOLHQB2+uiG6WAAaj2DQcx0BVIY4MeqHtTXQMgGFDDEaxJpaEUVeKpS4Fyl7zZUAyDasvgtdmVGP9jKthOSb3cZx/3rJjKyorfnjRRRdVLFy4MLPGQo5cHBwcHPaX6upqNDU1aff8856Pr1m7phvATdjfM5wPgCXTcGpJYei3bv/0UsYkOtDTWVyhJPN4t73y6PfTV551A7oA4NEbUV5Zot7uC04/RpL9Oa7BQBBM8+yIlJmxpNs/s5xLbuRK6yaLae7tw0LYticwo5gxJWdalzCY27u1vT+c+BiA1x2FnmXmjFmKogWuOfqooyoXLlyYMX3YAu9SJzcHBweH/xlEBMYYysrKcMaZZ0hd3V1XLlu27J5HHnmk+Z0qQ8iL0wtrz20omXn1rshvmcK9HXMEhJlA56qvnVSmr10CZBR6WQhNvmD1sdWH/dAja4W582YSRnbe600MvIzKxT9EPoUOAIPb7vCaqQGUL/g6GKScaYls9G64ZXYy8ejJjkIfR1VVRWVBQeGRc+fNGzNtO8rcwcHB4e3ov0zfKYRAbW0tamvranp7+w4D8I4o9G2/BzMBTVJLIKl+gGwkU2kwxuF2u7CbhieR9Spne1fI2UBsXNYgqV7JpWIs4LKmgEuyi8uuwmzo11wKXYbqKUdK9kJ2hfYR+lWG4i6DbRmQ1eA+jBocirsIPhf8gOPlPkZJaWlZqCBUFAqFxkaXDg4ODg4Hhqqq8Hm9kqapoXfqmmljfOhXAjjHQ48/B7fbjWMOXwDOGWLxJCRJQkVZMaKxBGLxBApDAeiGAUVRQIJg2TY8bhc8btdYONa3F/qVxoV+xT7c0Snjm7AromvetNkyOaFfx+NyuWRJkrijyB0cHBwmf8Y+0d1CB4t4IoWnXngdLTs7UF5ShGdefgOKLOP8M0/E48+uQDQWx2ELZ6O7dxA+nwfxRBKqouCyC87AtIbad4WcHYU+Os4hctzfHBwcHA5G/zoFymALGxu3tqChtgKpdBrT6qrAGMP6LdvR2t6FY49YjIbaKmzb0YHWji6AMrsxykuLD15UIUehOzg4ODg47NeMDQvmzMAPvvZp9PYPoqQwhIa6KhARCkNB1FVXYHA4jMqyEpz9/uPQNzCMYNAHy7Lh9Yw7u3xKGnCZo9AdHBwcHA5NkjrgV7LKjksA2Tj68MW7IrfS2HktAIAli+YBo+GC2VsHA5nvOUC5Qr9ygEm5bRHjneAYzx+5bjRM7Gjo17z2jUw+wgn96uDg4OBwKPK+L4HevA0D6fBqxPtmA5BwIIZ/xkZDv3bHYykMjX4fSSEhp4aT8d4VLtlVmjPQDmNAYuA1mMlOxHpfBZf9yLltjWwkh1bCNiOI9b4OxrWcaUmkkRzZSJEEdjoK3cHBwcHhkCSWwl+p47m6xNDK2ZzzAzSWM1iWYSVS8f/2hPH66LcjCWxSld5bzdU3nqmqWs7Qr4IIuh7vsG1zJLXqm3MUWc4T+lVQOh3bbtnCToa/OkOWpTyhX22R1mNrPS484Sh0BwcHB4dDku4RtBWZ9l0aDy+RJEgHGCgOyTRSA1E8dcH3kRz9etkNSD12Ex4IuuPRkC/uyTXptm1QOI7NCR0DRf7okX43tFxpLQsinMCaeApmWShymNeVo+wMSBmwhuN4vbIocziLo9AdHBwcHA45aotxXnFxxe3egkUFjMkH6qbOfFYU2uCbq5/4QeLi07+JVgB46oeoqS513+kvPmyJrISAHFN0gmCuyPqkpQ+lvUXvK+CSl+VMSxbTRlbFSBjCU3h4kHMtZ9l9Is08Q2/2j4RHLgXwrKPQHQ4ZRgMCSeNOVhJCgIjAOd8tWJBt27t9R0Rj0QH33C9r2/aEgg2NXmfP3wshDjjy4Oj1GWMQtsgeq8zeMZnuTX4HGoCJiHa7LweHySTowXEF1R8oKp11dc5jTSc+QWcQVhLijS8usvRV84GMQi8NoN4bqJ5btfhbXFYLch+fyiSM7LzPF+97zle15LvgkpazRAwMA813BM1ULyoW3rC7997uE3QQCfSu/0l5Mv7AMY5Cdzik4Jyjv78fL7/8MgzDgCRJmD9/PpqamvD666+jtbUVRARN03DCCSdg8+Yt6OzsAAAUFhbiyCOPxLZt29Dc3AxZliGEgNvlwoknnQS/359XgY0q821bt2HlqpVjSp0xhqOOOgo1NTVjSn035TzuxLHxeY8614ymGx1wvPTSy3jl5Zdx9NFH4/gTjh9LNz79aP57lnf859Gy7Hka195+b9s2XnrxRXR1dwMAPB4PTjjhBIxGVcylnPe8ByHEWJQsxhj0tI6//e1vWLp0KRYtXrTb9YkybshsXD5OBEeHibL1DjCLQeGyH0xSwMg+8P5FcYMrLq7JuyzbsgTGJYVx2QXGee5dbUyCrAbAuAYuaWBcyptW0oKwjCi4lOtgllGlrkBSffBocAOOyd3hEIIxho6ODvzxj3/EiSeehJbt2/H88y/gBz+4CY8//gTWrVuLY445Bh6PB7qu4+GHH0JfXx8WL16Me+65FwMDg6isrEBraytefPElNE2fjoWLFsK27bH8TdOEYRi7XdPlco0p8EQige6ubqx4dQVkScZRRx2FVDKFwcFBqKoK0zShqir6+/thmiZKS0sRCoUQi0ahG8ZY3uXl5WCMoa+vD5FwGEXFxUin0/jTH/+IhsYGFJdkPnd2dkJVVVRUVAAAhoeH4XK5YNs2ZFmGruuwLAu2baOwsBD9/f0IBAIIhUKwbRu9vb3QdR2VFZVQNRXDw8NQVRW2bSMQCECSJNi2jX8/8ADC4TAWLVoMn88LwzAwODAAxhkikShCoRBCoRCEEOjv60c8EUdZWRn8fj8GBgYQDodRUlKCYDAIIkJ/fz8GBgbwwosvoLyiHEuWLsHg4CAGBgZQXFyMwsJCREZGxhS7y+WCy+VyGrnDhNDNPUK/To656q2hXwFM1Hue9vtaE8zVCf3qcCgjyzLKy0sxPDQEzaVBURQwBni9XlRWVCIYDMLtdgMETJ8+Hed+4ANYs2YNotEIPvKRyzB//nxs2bIFp59+Os4971xYljU2A1/55ko88sh/xx5sr9eHq66+CuXl5RBCYOGihVi4aCEGvzkIj9uDz33+cxgZGcH3vvtdKKoKv8+PY489Bi+88ALiiQRsy8aXvvxlLF/+DJYvX47ysjJ0dffgS1/6IqLRKO655x4UFxWhvLwCBYUF6OntQWFhAUzTxK9//Rt0dLTDMk0cdfTROP744/HDH/wAXp8PZaWlmN7UhIcfegiVlVVo72jHokWL0bJ9G4KhEK6//no8/fQzWLnyTQjbRllZOS659BL85OabIYhQECrA5z7/ORQWFo4NXAKBACorK1BSUgLOOW666fvgXEI8HkdRURG++tWvYvny5Xj66afh9/kwb948NM2Ygb/97e9waRqICJ/5zGfQ09uDP/3pTygqKkI4HIYsy1i3bh3uvvtuqIqMWCyO6z7xCSxfvhxr1qyG3xfA5VdcjsWLFx+0M9Qd3qNkB4w5D2Z5t1kpnRp1ONSwLAvbt22HaRro68vMBDnjSKd19A8MYHh4GEIIcInjjTfewNe//nUAwLKzlo2ZtjPP+q73o6bguvo6nHHmGTjjrDNx5pln4pRTTobP53uLOTszwM6Yjm3bxkg4jHnz5uGyj1yGmto61NU3wOvxoHlrM3p6upFIJOD3+3H11R+HEDaam5vR1taG3t5eBEMhzJw1E8cccwzKy8tx7nnnwbQsrFjxCq75+DU486yz8N//PoKenh6MhMNYvHgxPvThD0MIAVXT8NGPfRSMMQSDAVxwwQfR2tqK7du344EH/g1D16EqMlatWomurm6MhMOYNm0aLvvIZfB6vbvtq00mkujvH0A4HMnc00gYRxxxBC688EJs27oN27dvx0MPPYSTTz4ZN3z72zj5lPfj0UcfRXl5Ga7/2vWIJxJ47LFH8Z///Ae1NbX43Oc+h+LiYliWhSeeeAI7d+yAz+tFR0cHNmzYgHg8Drfbi49+7KNobGx0lLnDwTDrYXAkgrUbm3EoRP92ZugOh9iAm6AoCk55/6mIRCL47W9/g76+PggSKC0twfvffwoURYGiKLAsC0sWL8Gs2bNw7733obOzE7V1tbuU8h42L845Wlta8eBDD2UsXSD4vD7U1NaOKfVd5RAgQeP6DYampibMmjULP7n5ZmxvacVZZ56JzVu2jK0Za5qGkpISeNwe2JaNpUsPgyzLeP3117FmzRp861vfAuccmqZBVRQAgGEaME0TksTHHNeamprQ1NSElStXQtM0lJaWwuVyIRAIoLi4GDwbpYpzjuqaGhx77DGIx+IIhYIQQqCurg6zZ8+GaZpj5RdCoL6+HqedemrWvyBzb8FgEKWlpeBZR0RJkmAYJkzThGUZ4JzDsiyYhgkiASnrmyBIIJlMQtf1Mfn4/X4cfeyxOOLIo1BWVoZt27ahuLgI8+fPH6tbZw3dYYJ6emJIHCveXIdINIaFc2fue5bOpvbNOgrd4ZDC6/WioqICDz30EAxDx5lnnommpiasW7cObW1tuOOO38Pn8+Laa69FdXU1CgoKcO6556Kvrw/PLF+OOXPnQFEU1NfXIxgM7Za3EALz589HVVVV1sUU4JKEoqKi3ZQ5YwxVVVXQtMyaryzLqKurg8fjgW3baGhsREtLK1paW1FTUwOv14uSkhLoug4ucdTW1SFUEMLmTZvQ3LwVmqrhfUe8D8FgEHV1dXC73WhqasJJJ52Eu+/+G0gIXHjhhaiqqhr7u23bCIVCqK6uBucctbW1CIVCcLndqK+vR2VlJS6++GI899xz+O9/H4XP60VtXR3q6+sRCATH/AZG76empgZbt27Fb3/3OxQUFODSSy5BfX09/H4/3G43GhrqUV5ejgsvvBBPPvEk1q1bh/nz5+EDHzgXf//73/HLX/4SpaVlOOuss9Da2oq7774b//jHP1BUVISCggIsW7YMAwMDeOyxJ8A5x+mnn4aKigqYppmxpuzhZe/gkI/1O4AFTdmlZS5lQrbuDQHMnNaAwoJg/nCsAMDEXpfkMx/57uFd3/LbcZHq2ETT0r7LBAYSAraYuuON/wlXXHHFUdOmTXvs2muvDQYCAUcg71Isy0I6nR7z4vZ4PJAkCalUamwtfPR7wzDGnNpM00Q6nYbb7QbnHKlUCqqqQsnOhMfPEPdULOM9vEc/p9NpAIDb7YYQAqlUCpqmQZZlWJaFoaGM85osS9A0DbZtQwgBTdOQTqchyzKICMPDw2CMobi4GJIkIZlM7pbP4OAgZFlBYWEBAOx2HcMwYFkWXC7XWJ6SJI3dJ2MMkUgE8VgcgWAAXq8X6XR6r/edTqfHZuyMMbjdbhjZc6MZY9B1fSzPcDiMZDKFwsICuN1uxGIxxGIxFBRkPgsiDA8OQVZkKIoCVVWhqiqSySSGh4ehqRpCBSFYlgUA0DTNUebvcu66626sWPHKZ/7yl7/85p265opbcX15zft+HKo+L3ecdQIYZ1lFTXk0Yib062DrX4b6+7s/cPxX8AoAPP8TLCwpKXqydNpVpZJWgtzhXAmx3segx7ejsOEqcNmXMy2RhUjH/RBWHAX1l4NxNXdaO43hnX+3eru3XHXsl3GXM0N3OGQgIsiyDJ/P95a/ud3unN+NmunHKzGv17ubEh9VZKPfvdXqxXZ7P/56nPPd8ss47ZXtls/4SJAej2fsfWVl5W7X3DOfUe/2vf19VFHumedoGgAIhUIoKCjY6+/H37fb7X6LDMeXefz7goICFBYWjuXp9/sRCATGPnPGUFJasscSBcHtdqO6unq3+3NweLvEUvgr63w9lBxeM5tPwoDQtG07mTb/2z6AN0e/S5lscyQ89HVjwy/O0hRJztc36abRljYonIz9aJ4qSzmn6IIE0rrRbFiwkpEb58hS7rC1QghKG8YqvxePA47J3eEQ4u3O4vL9brJnhvkGBbk6greTz/6Ue18DlLc7uNqfz/v63sFhfwknEOaMVrsUXVJlsAOM/Ip0GulYEluGdZcJZCxwpx9D1vJXsYXBrFcl051jfg5bgBIpbNItDEnclBVuqrnSWjbslI41aROmKhlc0iDnSmuaMBNprC0MZMLROgrdwcHBweGQo6oQlxaXNv7KX3qcm/H8AVomotKD5jC83c98SOaR8wBsAoBnXkFjeYnvT6HK98+U1eI8EekInsFXLDPdY/nLT3dxOYDc5nkTnv7nDGGnyV92qsYkF3Kb3FNw9T0THRrsvQTAo45Cd3BwcHA4pDhpNljAg8WhqmXu0llXARC7FOZoFHXGAJr4Vkhh6zBTHdMK0m/MHFXoJQFUefxVdeVzPw9JDSLfeegjO6vkWO8zcvn8L4JzJc+VOAa2elQz0Y3y+f8vr8d+xqBlBJLR+w4H8KizD93BwcHB4ZDi9s8DkgS+y6Es80qmk+gbGEQilcTO9g4IltHxYAAktus9KBulZddvGeNgksIUaVf8FokDjHOA8+yggXK+JNkFxmSwsRFFjhcDuOwGuJpV5rnTMsbAZRdcChTAMbk7ODg4OBxiGNZo6NdxU1lZwpPPvYp7H34KHz73NDz+7CtY9v5jsWT+bAghsG7zNkyrq0YskURNVTnaOnswf9Z0uDR1t3zeruH+IId+haPQ9zCKOCJwcHBwOHS7eNOykUimoCgyovEEnnrhdWzZ3oadHd2IRGOoraoA5wyyLMO2BRbNmfGuukPH5D42ICJyPGwdHBwcJrVf3ev7d16XZ/aC11SWIeD3QghCZXkpDl8yD4ZpIa0baKyrxvw503Hc+xbj/keewRGL50Jxqe+qGO/ODD3L4OBgpLy8IpFOp4OjJ0I5ODg4OByIHs0cm2uaBkzTMt6p60p7m6oKgQWzp+PyC5ehIBTAhz5wGkJBH5bOmwmXpmL1hmbUVlXA53Vj0dwZOGLxXEDQ7nFk2Ttlyh1/FULuqzIn9OveSCZSHcPDQ9va2toqy8vLHYXu4ODgcICzc845hoeH0dPdE0mnUs3v1LX/71HgqrMhQPZuYVY9Hi9OO+W4XevT4/r5+oZ6AITBgSF87bNXo7ioaNfsHgwEezTM6tiPxGiEObDc0egAgEkgYWW86tk+0oKDyAQgsqFfcytzIoCECcvOuPE7Cj3L8y88FyspKfrHyy+/fPS0adOU4uJi53QnBwcHh7fJ6ME8L7/8Mjq7Op+JRCMr36lr//y/oAtPxlZX39MCIJ5fge6pJhlKGcPg1pd2+1aYESTCrT1DMbSNfjsYxaDk6h0Y2PKnGkktRM695SAkBl4gI9kh+jf/UeKyN3dashHrfUoIO43+zX/keUO/Ch2xvhXpSBLrHIW+B5Zl/2Pr1q1H3nPPPVecfvoZvKam2gk/6eDg4LCfCCEQDofx8ssv44UXXlwXiUR+sHz58sQ7WYaROP4qOjdQOrxhDp8EO7lhwYom8WTnCNaMWSE43zI0HP6kmb7zNFWGmlMeBKQM7DQtDOqJOxbJUm7dKwSQNLDFMGGkY7+eJ/Hcvm62AKUMrAx68aSj0PfgwYcejF5w/vlfWbNmTVdnZ9cVtTU1VcFQkHPO96sh70/6iTK6BHAwDqk4WMdSjh6QMtl5H0xZHKz6O3iyAEb3o75r2lz26NmDUmZBmcM2DoIsRk3IB6XNMX5QFmcPVrvL96wQEZLJJHp6eqI9PT3PjIyM3PjQQw+teectBCBLAILglTj4gYZ+NW2kLBuUOX44Y73VFMEYIFsCLo3BS7mfU9JNcM4gWQJuRYYr11xeALZpQ2IM3BbwyBKUPCFlTSLIbg2So9D3wr8feGDwqKOO+m4qmfpbe1vbEq/HWyGr8j6fYsYYRSKRgi2bt5w9d97ch30+X4SIJuUp4pJkt27fvjSRSNTMmz//P5O1vs85F/39/bUd7e0nzJs//z5FUXRMUrfCOafVq1cv83g8/bNmzXrdtm0+WWVua9s5d3h4ZPbChQsfwIHFc9yt/qLRaEFzc/M5s2fPfmgS649s21bXrFlzYVVV1SuVlZU7hBB88uqvr6q9veOU+Zn6S09W/UmSJDZt3HSiLWxp3rx5z0xmmbu7u6f19vYeOX/+/PskSbImq/5isVho29at5zbNmPGQ3+8PT9bzJ0mSaGlpWTAyMtK4ePHihydZKUqrV6+5oKKifHV1dfXWyZJzNm++evXq88vLy9fW1NRMWt6MMTE0NFTR0tJ66oIF8+93uVzJPWWdjKdi4GKDZdmrH3jggfj/oi8v9OGjRWXzfx6sOlOajNCvhcYwhnb+a5nEBz4AZA5osS3MKCkK/rqo/sJqSSvPfQ0i+PqeIiOxk0K1H+aSkiuqHAORCW/XwySsJEI1FzImuXOntZMIdzxwSX/fzmEA9zkKfS+sWLHCArA5+9ofPgTguo2bNq4B8K9JLJIC4A4AodffeOOfANonMe8vAyhbs3btswBensR8qwBcCqDzpZdeug3ApHi4SgzcJvwcQPGqVaseALB1Esv8IQDXrV+/fj2AeyYx38MBfGrdunW9AH46yc318wDK165d+zyAFyYxXz+AUwC4X3vttT8CGJnEvG8AULp69eonRzvGSeIiAJ9Ys3btGgD3TWK+MoBfAShes2bNvwC0TmLecwBcu27d2jCAn03WADXLXACfWLdu3chByPuTAK7YsGH9SwCemWp9+A8uA/O6MDNQfopU3HQZQPaBjmIgbAOp8KryUHKgbrTdFnhR4vJVFBc1fRSS4s+9xY3LkFQXi3U/xUpmXAHGldxpmQSIFDMSXShuunyXWWsvZSICrHSvlojsXADgPmcf+iQhSTwA4GoAhQCuU2SpYLLyZowdBuAcAPMYcNnk5YsaAJcDKGPAdYoiaZOY98UAFgI4E8DRk5UvMbYAwIUApgH4mM/nnZRZmCxLQQBXZevvWs75pNSfqkoygCsBVAL4SLbck9UuqgB8FEAJgE9IEndNYpM+GcDx2br7wGRlyjmblh3oVQL4uNulyZPU3kIArjkYzx+ARQDOAzATwBWTlem8GbUs+/zVA7iEM7ZwsvJurPZxxvBRAHXZgercSRvdyKwi+6wUA7iWM7inWn98wbEAZ2BgUkaZk42M1zi99cWReY2+H/89o7HfMxAY55DHHXzK2eiSFO26xt5eZINxOeO1TvtIC5FR+JCyn63ceUKASTJUKWOZcxT6JGHb4jQAx2U/Hm/ZYtkkddoyEX0s+/CAgCskzidFKRDhgwDmZ/M92zTtYybFnCCzGiJ8DBnzbyGAj8sSP+DBgs/rYULQR7KzfwC4JJFIzJ2c+rNPB3BC9uMxROLMycjXNMVSAB/MfpyRVeqTM7ghOi87aAKAs4QQx09Khy1Jvuzg1JO1Dl0nSbx0ksp8CYBZ2Y/np9L6YZPUls8Y9/wda2XqczIGIDyrxMuzX13O2Fj5D4jNrV0zAVyc/VgtiK50uzRpMvJu60nMI8KHsx/rAHxUU6RJ6e+FTRcAWJz9eIagMblPGSz7LRWJzp5+PPfKm3jptdV4bdV6LH/xdWxvbccDjzyDR596AVu378Tf738UL7++Bm+u2Yi77/0vmrfv3H0fOk2umSNPix6vBfbZ+J3Qr5NLAMAFAF4D0ARgCxGdK0n8cdsWgwfYUy3OKt3Xsspx0Bbig9OmT7+lZft2evsdFa8SQpzOGJ4jQhOAFgAXSxJfYdsidWAPE10AIIrMiUQpAI22oMMBvHQg+SaSqbkA3gdgBYBSAN1EuFhR5M2mab1tm5okSQHbti9gwMsEzAawnQjnMYYniDD0dvP1uFQlpRsXZeWgA9gB4FjGWBMRbTtAi1CFbYuzGMPz2fprJcLFsiy9bFn2AXkT20Icl5Xvul1f0TIAfz7AwWkjEZ0I4PnsrLQdwIc556uEEG97SUaWpQLLss9nwArKzKK3E+E8ibMnbEEHtFQgBC3IKq8VWUtINxEucmvSD1K6/bb3tXrcHpZKpy4E0Jedcg0CWJzWjUUADmh7V9CvStG4cSEySwMWgE4AS3XTngNgw4EN1nmFZYnTkVnemcaAFgIuYgwvEWXO5J66ky4bd933CDjn4JxB01SUFBZgQ3MLigtDmDdzGl5+Yy0+fN5p+McDT6Ag6Ec0nsDMaXXvGkXkKPTJMfe5ifAbZNYZ/8w5u54zJmSJuewDXbrh3GCgqxlwvC3oDACfZozVtra0aADSBzDzUIXAdzjnzLbFbQCu45yFGGPurBJ+u4pGE4Jel2Xpn5Zl/QTARoA9AMA7CdYKwRn7lC3EAgCXMcauBajGsmwXgLetxIjIwxi7TZb4iGnZdzGGLzMwmwD1QMbjli3cAPu3Iku3mZb1N8ZwCwPbMRmDfAZoEmffA2OwbfFrAJ9hjLlJ0AHJIuRTWSRhDDHGLiWiawAEZInfKAh1siwrpmmaB/CcSIzxrxBRGRF9HcBVjKGMSLhxAD4WRKRJnP8UDIZti/8DcD1jsARhMpYgLMbwCSIcxhguVBX5OtMSdboh3Aci51Q65QbwoiRJf7Ft+1cAnmSMPQkceJmTKdslcf44wO6wbPtP2YHYGs4YxAE61ApBMhj7NoiCAH4oSdInBVEBEbkBmroKnQiV5SVgnENVZISjcVSUlaCpoQY7O3uwYHYTPG4N82ZNwzFHLMbDT7yAirISNNRWHrRdQI5Cn6IU+JT+4ZjZlzVtMSJYlhBr3C6FpY23r9ErSrwMwLqegQQxxo5EZlFlhIi6D7TMfre0cyRm7xBCzM/mmxKCmgt8MhuKvv0y27bQAazQNE2yLIsDsAHaVuhXGQA2FDXedo9y2LyKza+v6yJkTLYyEUUzM6cD66QCHqkvHDd7BWF0KG4IojWqIjHDfPuycLvUmBFLviJJUoFpWZldJkQbNU1juq4f4GxDtBGwk3MsQGbpLEVE66sqQqy9++1PShkjhHzKGyMxkzJ1B2bZog9AnxAH1qs993nafvytRIyx92fbXJwILQc+8xK9AHo557OystCJsLoooLCh6Nv3xSwKqAzAxmybXQgwmUtyVBjpFQeuXygJ4HmvW3LFEjYRgRPR9qKAekBlBgACS1q2/YqiKF7YdnYnFLYUFxUyAKx/cOhtPzAhn9I5FDU6kPGt4AQkhRDNU61P9miATrtLRZFlfPHay6CqmYNX3C4NZaVFaKyvgW3bqKksRVr//+2ddZxc1fnwv+fecZ9Z3+zG3YWQhECw4IXiULS4tRRtoYVCKVpKjZYqbaG0ULS4BQmEEAhxNyIr2ayN+733vH/MbLJJdjabzGK/N+dTye7eOfPc53nOY+eRLH6Pi9uuu4R1G+sY1L9mZ2UuxD6XkYi9O4g7PiB3aT+7666dYNqv0HthteeE304OMEA0ni1K02xtiW//vCKEpkup9hbMwWhesUp2Chu2RdK9dEWkiTwejNy+maL3zStzVFVkdV12pLIUvUKxHJ0MQ5eAFAghkWSyelEwh6OJLj+fTheP4x1evtBBduCaLY1BWRxf7MSzxs44Lg4fM35NB/0MTZOCL7gtdrE8t8vnNSmlouUMs15bmo7M41ntrXOiaVqXexSjyHsLp1/WGnQZLHkEQxrp/GCWHBuPHD54J68dKTlw0pgcKxr5tqyGQd+aavr2rcm1ajXyolIaSD0rs/oOmakbuXp8jI6jIgsqXkNPIaWW68HQHetLMLQEGNm8Lle6MQwNDC1FKou2X6F/AYGdjtBib7eCl0gtf+hFLwMs98WA3NNSchzb4R30dvRMy5+e/SNvv9gcHQ1Q7/vp9eLWu37dm99j5Gn3TaKfIQSqqqBkexPBOlLKXQ2n/as3zkVbhEW2hldTenqbbW9avxZUyNkY0fZ167cGd5TKNoVorLY0btm67MGhqtlD4XaukkRwUVZLt2hbl9xnV7qrLZc68dZ5aWlk5dYl99oK19ALpJ4m2jI3Ekny6X6F/sUIVymEUHpbzkqJ/gUpMQm5bF7D6D2YbRYrMZFRpJS9rtCFUDTQ1f1CEDrh94vAhQaYfvHwP0RvGg66Lr+JCl2XEpHJGr2KZ6vVSjabNXqrCc7+tWO1RsV/lMaNsUx040hFKZ7XMlmywQRvz13Nyo7fHX0k69+dHb0gk3ptps1CwUqefDvXDckMLb74i5PMJsyFzwcymmKFppPxx54br6qFz3ZWw4il+Mzv4r39Cv0LWopQVL33HdPsF6jABFL26t7Z3H2r8kV46HxB0YoOXEi+ScJV8gUqRw1QDSPdq3sLIYx8t8NvlEIHFMMwehVmu9Uk4/HcWK39Ex57d3ns0mu1iLF/d/YLAABS5ElEQVSKyTJFVUXx8s3Qk2aT1jiiloUgMwBz52Fx25kgVPM01aw6Cn9WSlXPBJw2GUQ1T1LNasHkR6kYukXPuswmqaFaJqhmpXDfd2Fk7TKj2CwsAJL7FfoX4KEbvawcOwvXL8hDl5LejSqkUmmR9zp6XUoZhtS+CCUm8rdq3yRFo6qq1DT9i9peE0KoZpNVFFH40JVCl3zzrkw6ImS9eral1KSU0pBy//VRb6+AiwvLaqb8OND/DBCmYnkWLd1C89q/TRVy6ypgbk4YMdztC/ysfOjl5WZ7dTdjtw3C9S8ekY6upXTwFSgWf8FOcVJmCW16cqaejVIy6GJyrV8L8I+eoG3DY0dubVi9AXhsv0L/Atyl3upbvjORt3voX0jIHVQlZzP0lkLXOzww/QvERa/i2ZB540b2rhGSzub2+yIcMN0QMkdDIb4A2ykrJWprMNPLSkx8ISH3/LRj+UUYkQih56NYvQpzS1u2Iymu12VGvsDwi3T7pa7rfB3XUzcjnHb6OksPwtNn5p7FUEcWuVDyjCR3M/elkSXaNMvvjW+t2hEFwGd1Vni8tSegml2F0S1MSD1OROp4a4/PdY3r5lktWU86Vo+39hi6S7QDQTK8XPUEVw+B/SH3Hq/TDz1fHd5vTHWZtyLQVU2iWbUY81bPrnh29r8c44ceMPSio65tT6RjXWalRxOR5NqGFZsfe/2PaYBHrxO2EbWyr9fRdQtFjwP9vqdlvxWbcd9wCqOH1hA3jN0Fi25AMEbbijrRePXvpfGHazANraa20o+nqwFUNgvG0x8w4LXPcBx7gDb87BlYUpndBYshYVuI6JyVou7OJ2R2ZF8hfnauLB9QSbndirIrvykKsimYtd79FL4KH1UPXMzoSBy1K0uiLUK6OUzdGffmanofvFRYDhgs+5V5cXQlOZ029D+9JvvPXYXr/CMYdegYyrPa7jBrBmxtJ7hsEw03P4r+s/MV9ZCRRk2ZF19XuLCYMd5eRNVTs3HMGM3QS44hk0gVgDlKfMlGseXaP8rMuUeYlfMPz1ZXBQiYurinUxXkirq0+3cv4hzZl4E/PqtrXACEE6RW14vNF/9apgDuvlAxHTTcqC3zFqbfM3O0/q9+iuOYSXL4OYehJtO74yKP5+iiz0XddX+WWYAnbsZZU0ptmafrez+PA/3mv1PRGpb+O85NjC11kzF29SIFJNMYje00v/AJzf94A/nLS7GMH0jfSh/OriptnDb0P76qDZq7CscZhzDyuAPwZbK7w6wbyK1BgusaafzeI+gPXIxpdD9qa0vxdNXvzGbB+O8HxsDXP8vR79Jj0bqin6YjG9qIbG6h/qrf5yzY31+NdVgf+lYFuuY5lx39wedkv6Ub8Vx4JGMOGU1rVtsdF+kMsq6VtnVb2XrTX3NXTc/8mNJBlVRZzbu/oxDIVDal3vJ3vE4blQ9fxahwvAuZLCCaILstTN23f0YUYFC1Kn51qV7Zr5wys7o73ykKctO2rOMXz+LuV07tPRcyKhTrWt4HY6Saw2w59e5cGOaaU35kqQr06etx+rrsHWGzOPRXPn160PqGVY4Zo48eMXbgAT5Nzyq7Aq3pWdkSagou/XxB46sfP/elav4x/XMFXR3zxZF6DuEiF4cTuxBi6Yq12K0W2kMRRg4diNvjRBo5O1l0WOLS6KgS20Wl5jzw7vvF6/kPitw+e3oWkStekcYebDKBQKHjTOwP8/RgHTnpBOXoySee73K7bnE4HaWFSg40I6tsaFzj6VNWm3DbvJlCHlkmnclEIpH/BGPy51MGXG6qCoi73J7KU0xmT8F5urouzRnNcNosaliIrikspS7SyebmUCRy74L1PDNlKN93ewJXW62l7kJ1jIYh1XTWcFvNSlRRhF7IiU+n2uKxaNsfl2/hN7UlHFkecNzldFX1EwWud6REpLO626SKjElVCjbA0bJxLRLZ+vbGrfotulSigyrl7W5P+TkWq6+bBBNpSmcNl82iRIQQRtffb5BONgcj0fAv564Sj00fKS/xuP3XW+1lvkJsL6VUUhnDYzUrMUURBcMVmXR7KhJp+cfqevGLIVXyRI/bc5vNUVFeqLxESkQqo3stJiWhqiJTGBeRbDSy7bmWsPHT5rCIDesjv+/xBL5ntZW6C8Gcp5/HalYihekHmXR7PBpp+evmFn6pa5QOrDbd7/VWzjSZnQWNek0zbJqBxWpWIoXKYKWhkYg3bdrWFr8tluKj6hJ+4vGUn2ux+u2FowrSlMkaLqtFiSjd0q+lPRwN/XrDVh4f1odrnK6Sq232EteecGExK1G1AP2klGTS7dFEvPUvG7byqzIvdo9D3OF0lZ/ZHc91nL89wZxKNLckEuFfTLmOx+Y8xEEuh+1+h6t6uKKYC0dwMoZbCDSLWSl4r6FrCSMea/qoPZL94cxbWf/xrznF6XDdaXdWVguhFj6DGd1jMilJU7d8F81Go9tebo/otz0z7/74kD6+n/j8vgusVqutcDRLN2X1rMtiskYEBfCBJJlItgdDbb96f9Vrj7794RvalyWzl/0eoZr5Q+mwG68qG3ouYBCJxnn6pbdo3NbKlImjCYajjBgygFVrNxKNJ5DS4KkX3+KcU45l6MC+LFq+hnEjh3LYQZO283rd/OtltOnjM0ZfxXMAyx/hUGfpiDdqp/7Jppq66Z0lVML1rxFpeJOaAx5EKGq3z7atf5x0tJ7q8bfsUaFvW/Fr2jY8cc+oK7ltv4feg3Xw6CNG+fzen4+ZNrw2UOHrNgAyQ0zBkIanu2dSiTTL5639QWpz4yq/E2tJ1aSrKkfdoJgsJRSK9ooOk17KErrZO946r4Tlv/3pqNqgy1/a/9bqMT8MWN0DCw/26Qg3SekvCLMQZGIbSxuXPXBr/+TGrWUB+zXVI6+a5K6a2a1NmB9aYJESVyHbUteiNK/+w/nI9zZkssbG0qpR11WO+qHZbKvcIy6QMiC7iaAl2xeXNiz75W3jB7QaPn/17X3G/rDS5h1R8J6r076+7nCRTdTTuOzBG2qTq5M+X+Ci6tHXD3GWTO7+2OX27YYvBFqmnaYVD12VSn+2zKTIVf6S2tv7jPmhz+oZ2hOYu6dffHNp49IHbokkNizwOplW0W/GeRXDr0ExuQrjWeRDjVKWdndjE22cVSpXPPIzazT5TFnlqOsqR99sM9uregJzoDuYk8GlpcqyB2+rSjX7fSUDbq4e80N/jpeLo18mtrG0Yen9t5bFN803KQwIVIz7ftXom0wma1lxPAck2heWNix76Gcv/rRtrdNuub16+HcP9tacmJug1e05wSqldBba1zBStK77xyna+he3PnEzD7mcnrv7jLl2pLNs+p7PoJTm7vhOz4bYtvJ3l2WzH62pLfPVV/apuGHMQcNsDpe9W1mXj/4EupNHodZI6dK5q352iH7corc/fOPTr0yIqyrzFi5j4bLVeDxuFi1bw+b6rVgtZt7/eAE11eWUl/jp26eKQf368LtHn6JfnyoSyRTTDxyH2fTNUJX7FXoPViIdG+YNeKor+5ehmtSib6UcHjsVtaXmprqmA60WrJ6KQxS7f2TxI/4QuKsOx77l5SpHeMF3XKVTfM6yKfRG10KzvQx32YFeX/vGb9td5QM9fY7CbC8v+mLYrFTirjiU2LbZY1TFqHSVTzM7SsbmQ01FnuHKQ7BveaVMbZ5zoat0QpmrYnq3TRp6DLOjHE/lIU538+rvOXxDyzzVR6CoxXcZNTsr8FQeoYa2fXaQxUSZu/QAn7NiGqIXAmkmexmusqkuX9uGg512Zbin8lCsvsFgFOk0CYGnz0wcm/87WOr1x7nKD7I5Ssb1Dv2sB2Pb/HKZVtd8pqtkgt9ZfmCvhBRN9lKcgXGe8JpN4/uUMthTcbDJHhjdC+cP3NZDsW9+sQLaDnO4Ssd6a47H4qouHh9CxdvneEKN740fWBE50OHtN9BTfVRuZGeRAsksKnBXHSWc2+ZO8buV8tKqgK20yt8rOR82p5W6dVsrYsHEMOCrU+hSUhrwkUimaG0PM/3AcVitFl5++0MsZhNWixmfx02J38O6jXUMGdAXIWDwgFoU5ZtTHbtfofdgpbMpi1A67j96h7kURSAxVENiEaqJXF5MsZvnew4Ls6oquBXVSu/lxAgUkw2bBbuiKPlS+17IP5IGQqh5TwKTEGrv7NvhfyhWYVLxqqpNbPcpeoN+JjsuOx6TyaaKoptW7KCfYrJjtwqbzSQdismaV+ayFzABismG04ZdCJEfK9kLPCdzXqBQFKEKVCFMvUY/kadfVscmFHNemcuiaZd7fSsZDbMhUdneuKN3eA7FipRYVdVkFqq5d/CMgVAsmE2q2evEpposptx1V29UhRoIxYrVolrMqrAoitIryrwjkqIqKiaT6UvVinZLx3AA0RHiYPyoofz0xst57tV3qSgNcPa3j6GlPYjTYcdqsWC3WThkygRiiSRnfTvAxi0NlAZ8qNsVuijQ+lX0+AzujaHcsw98ha1fhUCRcqfkEJ1ezsIUQgjZqUWqEELv9LPcN80p5O5yrKN9X07gdjTwF7mw+I6fEchOfy8kFDuKx7YTcqefxfY2hTv9vCMW2DNPuaf7dvU9O4Tp7lHJjvfaCaY9fFfH86IHjL19X7GTYN7p77vibleYC+3bY1x0olPH+GPJ7gnxe4PTrt5Hdmy9FzAXxM0ub57fW+yi4HrGc7vsJXbnOdkd/Qrx1J7eodfo1/UZETsdwJ7u3enxXXm/w7De7T06npU745ldcA679+6Wsgv8doK50F67nreCf+/6WHdlYMnuZN0uP++ZOb64NfhyWPwHNEOLIQ0t7+zAwH7VXHn+KYDE7XJSUe7fcYUjAS/b27+OHz0k/z65yI2hJzG0lJHO7igH0g2koWeloaUo3P0th3ctE0YaaQwjjSKs3To5eiaM1BIYRqb71q9GFj0TIZEm/VV46JOA2wAruTF+d7CPE4t8XreIROPHCEFM143OYzkHA3cCJeRGgv4GuBHoC0SFEHOA/0gp24oyHPJHNhwJYrfZsVptJFNJgqEgJYESLGYrhqETjoTwuL2oag/asAuBAQTbw3hcTswWE7F4knAkSnlpCWaziVA4SjKVory0BEURtLWFyGQ1KkoDqN2MO5YCgsEITrsNq9VCKpOhtS1EacCHzWZB0w1CoQh+rxtVVQlFYiSTKcrLAp0s1N2Xruu0tIUQiqCsxI8QgtbWIEIISgI+hKIQicYIR2KUlwawWi0EwxFsFgt2W/cj0qOxOKFIjJKAD5vFwraWVpLpDBazicryEsKRGKl0hvLSAGaziXQmSzyewO91dzsdKZ5I0hYME/B5cLmcpDMZWluD+P1eHHYbiWSSYDBCaakfq9mMBNrbw5hNJjzuwokvqXSalrYQHrcTr8dNNqvR3NqO1+3C5bITicYJR2KUlvhRhKCpuQ1DGtgsFspL/bnrnG5hjlDi9+J02AhFokSiccpK/FgsZra1tJNKZ7BazFSVlyAUhba2EFaLBbfL0TOeczsxm03E40lCkRjlpX7MZhPZrE40FsfvdYMQtAfD6Lq+/T0K0i+eIBSOUuL34nDYSaZStLWHKS3xYbVYaA+GSaXSlJeXkE5laGnL8Y3TYac04C24byKZoi0Yxud143Y5yWQytLQG8fs8OOw2QuEo0XhiO79Fo3GisTjlZQFMBc9hThmFozEi0TilJT4cttxesXiCstIAVssOXjCZVJwOOy15Xi8r9Xd7TjRNo7ktiMVspsTvRSgK0VgCaRh43E5CkSihcAwJlAa8RKJxMpksJpOJ8lIf3eSngaIQicYRgNvlQNN1mlvbcTkdeFxOpIBQKIrTbsNiMROKRInG8vixmHss84LhdmxWO3a7nVQ6RXuwnRJ/AIvFSigcIplKUlpSitlk5mvQJEdGk8yx1v/v3ExsqT8/nqHDyQMgtDcwCoGhpUSkbc3ihnZWdPy6OcImYa5f3rDw1gNUs0N26Vjl7DiRimyMZzPhdP1nN/kV1VywSyyGIRLhdRFD1w19/vVeoaiFO8oamkgEV29LZvnoK1DoYgvIdmCmEOKPuZF7HCoECSRViqp8oucmO81QFJHOjVlkiaoon+uGMUNVleV6bgTxuFA4+jnwE3Jzt38JfEiuEcY2KeV64NvACzJnXh1Kbhb3EinlD4CBdpvtR8lUaii5WcdxRVHeNwyjfW/eZt6nc/nLY49w4/d+xKABg/nNHx+icWsjgwcN4dILruDl11/gw7mzufu2X+Dz+fboPRu6wauz5vCP/77MQ3dej8Nm5f6H/0kylWbMiMEcdtAkHvnnM2SyGkcfOpXK8hIee/oVhIAZUydy/hnfKrj9B3MX8Ju/PslPb7iMkUMHcO9v/86GTfUM6l/DzVedz/Ovvccb783lkftvIRiKcN/D/ySeSHLcEQdx/uknFBAkgjXrtvCnx55lS0MTl513Kh6ng7888TwIwfcvPgub1cxfnniB0oCPS889ma3bWrnv4X9y3WXnMOOgSQUN2qym8fgzr/LR/CWUlfi58crzuO6nD+Hzuhk7YjCnHn8Ef3nieVat28hhBx3ABaefwG//9iTBcJRf3H5twSQWKSXPvDKLd+fMx2I2c8cNl/HvF95g2ap11FRV8L2Lz+LhR5+ioamFUcMG8cNrLuDzLQ384LZfctoJR3Dpead2HeUU8No7H/Hy2x+SyWS586YrmPXBJ8z5dDE+r5sfX3sR/3v9feZ8upg+leVccs7JPPm/N/h8cwOxeIK//+qnBEq6znfUDYN/P/86H85bhNvt5EfXXMh/X3yLpavWUV4S4NpLz+b6O35FScDHuJFDuOKC01i3fhPX//QhvnvWiZxz+vEF56rohsHzr77Lk/97k9/cdSMuh527fv03mlvbOXDCKC4952T++NizbG5o4jd33ciiZWt4+O9PoesGF5x+AsccOb1LXGhZjX898wofzV9KWYmfH159AY889gwbtzQwZGA/rjz/NP74+LMsX72eGVMnctDkcTzz0ixWb9hE/5pqfv2zG+iqVE9KyXOvvsOsDz/FbDJxxw2X8eT/3mTJynVUlpdw81UX8Pizr7JgyUpGDBnIhWd9iwf/8BjhaJwZUydy2bmnFLwTTabS/P3JF1m0fA1lJX5+fO3F/O0//2PB0lWMGTGYH197CRvrGvnBbQ9y0tGHcNhBB/Dnfz3HloYmvnPyMZx+4tEFFe7iFWv5+5Mvsq01yPWXn8OA2mp+8sAjTJs0hiu+eyZ/evw5Pl6wjJFDBnD6iTP54OOFrF6/iVXrN/HIfT9i9MhhBRXNug2bueOXf+aYw6dx4Vkn8diTL/LeR/Nx2G3cfv1lrN9Ux+/+9hT33HI1A/pW86fHnmXxirUMHzyAW6+9qHtjIb8WLVnAb//0EFdd+n3Gj57Abx55iIamegb0G8j5Z32XJ5/7NytWL2PsyPFccdFVqKrpK1fqjUHlhUy2KVgWbxqtKl2EWffyyiqVJbM1yDsn3sn6jt/PvNWoe/3nyoVlyYWHO6zYCupoCdEka4Jx2ioTn062mTEXelYzkME4S5NpspWJeRMsJtRCz2Z19GiK+V6XmA/yy+2FLaXcBiwFQjarZY4Qohr4k5TcJOFnum7cA/QBfmMY8jYp+T7wV0PKEcC9wMS8l/9rciM0y4EBwAHkpxUZhhERgvnkWlvNBzpm9M4Hfg88CRybyWZnAv/OK/5jDcMYsbfv43K7icZiZLJZ6hrqWL5yGeeeeQEfzHmfpm1bcbnctLa1oRt6z+bpCoHX4yIciaHrBqvXb2L1hk1MnzyOt2bPY/a8hbS0hxg/aigvvjmbxqYW6hq3EU8kCUdi3d7SeNwuEskkmWyWz7c0Mn/xSq656Ew+W7KSLQ1N+Dwu2kMRpIR3P/oMs9nE2Scfw6uz5pBMpbve2pD0r6nijhsvp6I0wOLla3jxrdlMnjCKkUMH8NJbs3n0yRep39qMxWwmm9Vxu5yk0mkSyVS34XZVUTj31OO4/LxTWbxiDZFYnEw2i6bpeNwuSgM+brryfGZMnchnS1aiKAoup4O2YHiPtw8nH3MYN15xHus31bF01Xren7uAqy48gzUbNvO/N95j5bqNfO/iM5k7fzGLl6/h5TdnY7dZiMTiBccYSgOOOHgyt/3gElragqxcu4FXZ83horNPoq09xOLla7jwzG9xyTkns2j5anxeF7f94BL611QxbHB/vB5XwWsTgeCME2dy7aVns2rtRjKZLKedcCRlJX5a2nOjUjPZLFpWo9TvpaU1yEtvzMZiMRONJ7rlCwH4fR7C0Ri6rrN01To21TVyxfmn8tbsebSHIjjsNtraQyDh2VffYVD/WqZPHsvLsz7cPolq1/Cqoiicc8pxXHXhaaxat5ElK9fy6aIVXP3dM/n4s6W0BUPceOV5HDVjCp8uWsGY4YO59drv4nY6GD96KKq5cLTixKNmcNOV57OloYmVaz/n7Q8+4YrzT2XNhs2s27iFqy48nTNPOpolK9fy/twFtAbDnHvqcbz4xvvEE4VHdtusVk465lAqy0ppbmnHbDZx1QWncdrxR7B4+Voam5p58fV3cdisBMNRBvev5fgjppNKZ/K8UeiK2mD44P7cedMVuJ0O1mzYjN1uRRGCUCQGArJZjWw2i9Viprq8lB9cejYHHziOqvISaqsqusZzfjmdDlRVIRqLk0wkeeH19/jOyceSSmf4aP4SfB4X4WgummWzWrnigtM469tHs2j5atLpno1qdbncJJNJ0qk09VvrWb1+FRefdxmLly6mubWZi869lCMPPZplK5eS1TS+DqvEZdS6neq5Zrv3ErPdf4mliP+aHf5LLDbXRWU+ccq/fqhsD3m9fb/ZURHgbJvDdVGh7zDb/ZeYbL6L7TbTJdUlXGl1uL9rdhR+1mzzXuR1qZdVBsTlFoen8L4O/yVmm+cil125RBqy5qsIuXclT9KKIu4xDDkjr1wt5Lom/Q2oA/4tBH06rnvynzEDK4D5QogGKeWDe5UBAlLkUlqzQogqKWWTECK4txblwP6D8PsDaJqWs0YFKHm3wmQyMXTwcCwWC7qu79lalaAIwcihA/G4c2HgsSOHMnPGVGbPW4iu6xw27QDCkRiz5y3E43ISiyeora5ACGjc1oI0CmfpDhvUj9KAn2w2B4sgD6sEVVUZOXQgNqsFTdO2I1oRgj2lyJtNJl58/32ymsbZJx/NH/7xNIoQKIqCrhvEEymmHzielWs28Oo7c7j6wtOpLCvJf093UUSFYDjCUy++yYVnfIv+NVXceeMVrFz7OY8++SInzDyY9RvrWLh0FZeeewpur4sxwwexdOU6dF0Hs6lQjgXJVJrHn3mFk485jMEDapHS2OG15ZO8FEVBURRmffAJH322lFA4yvxFK4iGo7jd7i6vdA1D8q/nXmXapDFMGD18uyEn83u2tod49pVZXHTWiVSVl/LZkpUsWLqK395zM6rZVBAfiiKIxZP869nXOO1bR9CnqpxQJMrEMSN47OmXyWSz/PyHVzF/8QoeffJFGra1MnfBUlragsxbsIzzTzseh73rsLuiKowdMRivy4mm6Z2usxWklNhtVkYNG8THny1F03V0PdfRaEdSZDf0i0T5zwtvctZJR1FZVoLsSAaVElVVWbX2cz5esIzLzzsFm8PG/97I8dFpJxxRuImWEKQyGR5/5hWOPmwqg/rXYhh5+uUNibqGJl6d9SGXnnMyiVQKw5AIZc8GtaZr2K1WJowZxpKVa4nGEgRDEd7+4BMuPedkPlm0nPfnLiQai7NkxVpa2oP0q61mYN8+bNjU0K3SNZlUXn7rA6xWM8ccNpVAiZ9B/WtysiGrcerxh3PotEnc9sAjjB89jIMPHM9/X3qb7198Fl6fpzCupaS6soxB/WrQdSM3yhO2v6/MGxMlfi+apiEUhfrGZl58czYXnHECHrejR7Kub00/SgIlaLqGNOT2M9JBy42bP2fORx9w+klnYrPavhYK3e/igrLawy4sGXw+QjEVraq0VDNNK349ZJC2ZS7wPoDHpo9wuSu+VzX6poDJXt3tHXpw8zOjUqGllI+8CdXiL/isNDTa1v99jJ4JUTbi+/m7+a5hMrQ4zasfGdu4ZfE84K9fqkI3qWpA0/VhgCeVzkwAQvm3SrN7s+iBQH8gKSWtgJBSHpv3uE35AQ+alHIQMAxYD+gmk+rSNH1M/p5+NNCeF7iTQFwlpTwbeM2Q1AH/lFL2Ay6VUi6DHVN0erI+WTCPVCrJ/IWfcMqJpzNy2CiefuEpDpo6Hb8vwAsvP4Ou63y6YB7HHX0CarfNBAS6pvPunPmk0hnemzOfM046CrvVgsmkcvF3vk3A78FiNuP3erjgjBNoD4aRUuJ02Olf2yenPAqEmWd/vIBILM7sjxdw8dknMWr4IP7yxPOMGTGYirIAz77yDulMltkfL+CQKROYu2AZz732LsceNi131y27DiUuXbWOR598kSED+7Jq7UaOPnQq/37+dYQQXHbuKbQHw7w5ex4mk4kDx49kzqeLCYajfLxgGVMnjaG0tLRLMy+TyfKXJ15gc/1WBvevYd3GOl56czb1Tc0cefBk4vEEv/3rf1BNKqvXb6Kmqpw5ny4mFIny0fwlzJwxpWtrTuaU7pKV6/D7PGiaxrQDxvG3f7/AwH59OPHoGWzYXM9f/vU8B04YzXmnn8DRhx/Esy+/jd/nxW63FjRNX3j9Pd6fu4CDJ4+ntT3EMYdN41/PvErA72H44AH8/h9PU9ewja392tjS0MQ7c+Zz4tEzGDqwb04ZiEKKRucfT73E6vUbqaooZfnq9bwyaw5bt7UybtRQUqk0/33xLVraghx35HTOOuloDp9+AP9+7jUG9u2D1WoprMSyOm+89zHJdJp35nzKCTMPoU9lGf/870scMX0yJpPKR/MXE4nFmfPpYk474Qj+9PizfL65gTNOnAldha/z9PvrE8+zcXMD/WqqsNlyivKv/36BKRNHYzab+NVf/oMQsPbzLQwd1I+585dw0dkn4fV6tvdx3d3ZNfj3c6+xcPkaZkyZQDKV4vCDJ+d5sJbqyjLu/e3faQ9F+HxLPTOmTKQs4OOZl97mhJkH43Q4Cp6/9mCE3z36FKFIjNHDB6FpGr/5638IRaKs27iFo2ZM4e5brubZV2bhdbtYsHQ1b8+eR1swzCFTJhT20BWFjxcs44nnX2fM8MGsXPM5yWSaDZvqURSFtRu28M6H81m7cQtDB/Zl4pjhfDBvIcMH9+fQgybl53QrBfdetmItGzbV43Ta2dbSzolHHcLTL76F1WJh2gHjeO+jz0gkUsz+eCHVleX84R9PEwpHqd/anMvLKAnsOeS+dAHJVJLFSxcycthohg4cxhNPP87Y0ePwuDw88Jt7SGaSbG7YRCgSwufxf/mZcJ3Wxw8i7BbKbb4JOEom7FaSKDtNje7IVdwpmVcIUPIz0rfnHg7Buvlplye6ZfvdmMuK02IvcTjKpqKanYVfWVHJJLagZ0LkSom70QWKSjI4iXSsHmfpAd0nPAsFx7YPhLdtcf8v3UPXDX0AUAGslFLOVBTl31LK2UBECLFZSjmXHQ3FjwbCwP2qoizSdP1JKeVRAj6X8K6UMiYEL0nJFcBZQogHpJS6lLISGEWuef5kRVE+NgxjtpTUgPQL+KtQlH9IKavzoXqbEOIJpHxrb9lvwpiJjLjrVyiKSom/hBuu+SHhaAif14/ZZOb4o0/k6COPw2K2ouyx/lmiKApHHDyZgw8cj6qq+L0eTj3+cM486SgCAR96VuM7Jx+Dw27D63Nj6JKpk8ag6walJd3f0U+ZOIZxI4fmktcCfu66+UqC4Qh+rwerxcLJxxzGCUcejMWSS9r51Z3Xk0plut/XMBg5dAD/evjnGIaBzWbF53UzaewIhBAE/F6klEw7YCyqqhLwewmHo/zh3h8hhMglmMmuQ7YmVeXGK88jk82CzIWFr730bDLZbC7ZDvjd3T/MeWeqgtft4soLT0caMqd0u2k+cuk5J3PeaccjpSTg83LL975LeyiM1+PG6bBzzy3XEI7GCPi92KxWamoqGTKgFkWIXFJVF3tLCaedcATHHXEQ0pD4vG7GjBhMa3sIl9OBw27jR9dcmAtH5t/n0nNOxuW0d8p6Lnz9cM1FZ3LpuScjpcTv9TCoXw2pTJaA34vFbOLGK89DNwxKAz7MZjM1fXIwm1Q1n6wlC3roxx1xEDMPORBVVSkt8fHAbdcSjSUoCfhQhOCS75zMRWedhD1P36ED+6LrBiUlvq4Vb55+N1yRo5+UUBrw8bObcjwX8HlRFIXf3nUThmGgqgpej5uf3nAZPq+7oDLv8NAvOvskvnPKsUhDEvB7ufmqC2gLhvB63FgtZu655Wo0LRcdKS3x88Dt1xJPJCkN+PIRNNmlB1Ve6ufmqy8gnckQ8HsxqSbuvfUadD3X8rO0xI/FamHQgFqUvNc9cfQwTCYTJQFvYcFrGEweN4r//OEeDMPA4bBhtVi4+5arcwm+HjffPetbRGMJvB4Xznwy29GHTcNmsXRfDWIYDOjbhwduuxYE+L0eLv7OyZx0zKE47HY8bicet4Pxo4ahKAo+r5u7fnjldvzkzuCeZd3I4aO5785fogiFgL+E666+KSfrPD5U1cRPbrpje0TK5XB9pcocwG3vxIxSB4zc4Pl8Bv6ylevQDYMJY0fkkg9Vlfc+mp+TX+NGsnVbM58tWcXRh07BarHsuFfrcgJBvniqu14DnWtLpNF95FN2qrDdU8mjzFkiSt6X+1IVupQsBs7p+FFVlaxhGN8HJWM2q5symcxr+Tv0TD7k/hSgabpuKIr6Gyn1RyxmUzad0VQg43GZ/xeJZd+UUhg2my2TTCaxWsyfJ1Ppy/JhTmmxmDOpVPo6QCiKYpSUlGRaWlqk1+sNhsPhKxVVNdss5lQimcru5dvg8/oQwr/dC1ZVFXunDlllJeX5ijK5/Zku79LFjlBvacC3U3lLZUXZjhC42UR1Vfn2oiZVyWXX7qlsTQhBwOfZqbTFZFKxd2oMU1a28z4+jxu8Bfbt9Ap2mw273d6JucjB1Kmsp7wssP1nn9eNz+fZ6flCIducMbEDZrvNulP5UWVFaadDC3a7rdC+YmdceHcrN6quzOPCMHA67Didju0/Y4Db6ehkvbO9vLXzF/g8bnzend+tqhP9ttOq8/t0PLt9OETuP3IX+pX4d4bZYbfthIvyssAO+uUVosfl7I50269VdsCVw6PL6cDlcu6O5/zPOVjY45XJrvQDduK5Xelns1l2L+natWX6nugHlJeV7CR0zC4nHrer6zKuXQzq7ecvv1dFeenOwlPTcTt2hECrq8q3w9/tHbTTjquj2iC/t8Ox87nxeNw7zp/XvTtvFKBmV3t35rtd8WWzBXahi4Ru2hdJJB63B6/Hu12OmUymnWRdeVnFThHB3a4Yv+Qm47JAAugfH3uWSDSOzWqmxO9j2ar1LF+9noH9atjW2s76jXWMGjaQmqpyfvfoU3hcTg6dNrH7jb/ytQOoL7sFjp4PrSeBVDar6UDKMHQjk8lo5GZ+bwOuFDArr9iNnCGqa1KSSGe0LJACjHA0a0hJHGQymUxKgEQybUiZ+w4pZSqVShv555OGYaRbWlokQDgclkDK0PXonpR5ftzjjohMp592Zd6d/s3OfxO7CSmxQ993rpPtXIW868HY7Wd2CCo6KmAlhoHRYb3tEJpy58/v9O9C37Xzu+kGO4+yll3tu4fT1dVnOp980fW77Q6z3B1XXcAsDXQpjZ7hYrea+q6mMeSGJmg6mpSdKCx7iGNZoHadXD9wTZdS0zF2Hvu2F/TrMvdBAAaa3vljnQbG7lr53hWeu+K7Dp7btUZ9n+jXFdvoCIHcrR9Cj/btir4d722giM49KUTP9tqtvlp2cXYkEgy5s2DoGqZC79AFb5DzMGVW79hb9ozvdv0uuetncryhG1J2DKpnJ5bvgazL/237x/N16R1/M4yvXhMahsGGjXWMHTEYm9XKhs31vPvRfCaMGc7GukaklIwdOYS6hiYARg0bxPhRQ/kmra9jT7sk8KGExq8LQD5XoDEeTSSi4XiXZ3ovcytIpzKEWiNouthkGGxIhdagZ2P5fs9i3/4rctNEM7EtaMnGSDTJB4nwioyWas4/o+zj3rl9s8lmEsHVmfYoC9LJcCgVXr/9DmffYVYxtBTp6FqSab05kWZDKrwePR0pAt4d75qJN5BNbEmkNN5NhNcksokGdkxd3fe9tVQb8falWnOYVxLhzW3pyIZONNh3XOiZKMn2BYSirGkOsSwRWp3OJrb2CszZVAvJ0DK9JcyqVEZvTUfWYGjJonlOApnIetKpSFssycpkeLXU0sHi4M3zcjZeTzaxKeG08nEqtj6dTW7rBVyoZJPbSEfXawE3mwyDzanwavRMpFdgzsQ2k01siVvMLEsmgvXJ9uU59S6K21vqGqnQIuLxaP2GraxJRre2pkLreoXvjGyCVGgRkZi+IRTVNkdDMTKpTK/IzngkQTQcS0ST4aavWo4LctHCkcMHUVrip7K8hLKAj9femUM2k8XncdO/tpraPpVUVZShKgrLV6//Ro0w29/6tQcrkY4uCLYGH1/0/opL/GVemyiyOXo8mjC21bfMCcVT/0lmMLc3zJqpZdqmWRzlRW0sDZ1EcE0yHql7LJLkd8HmZVV8duvpdk9/U3FWiCQZ2aK1NS19af1W/mgytcfUpfff5iod4+luilRPVjYZJNzy2Yr2KH9PZ2lua5hzjJ69dYbVVVmUsSmlQSK4NhMJbnwykeahUMuagFhw+zl270BLsfRLxer10LYlb8VT3BkJbmmsX3TXtU7/MHu3E5R6sDKJZtnetGhuOMF/0lm2hZpXPCcW/OQMu2eAuXj61WnBbUtfiSZ5yZAsN2184eB0vG6E2eYvChmGniXWtjQSCof+1BTiBUfjR8N17dbDbK7qXqDf+nQ0uOnJcJL7g9uWeI3Pfnyyw9vfVJyElSTDm7Vw67L/JTLMMiQL2urfO07LhA+yOovnuXj76lQkuOWJzS287nbEShpX/PZe97b3SxWTtSje0NJRIi0LN8aT+p8ef4fPflTS9Ki65J7rXIERrmIzuDOJVsItixYkMzzeHsu2NdU1H//ZO/pRLo+zSHxIwu3RdFtz23+aIw1zv0yZbTaB0RGNybWVxmRSufKC03E5HZQH/BhS8to7c5g9dwGHTJ3IkQdPRlEUspqG02FnzIghWDpXn4g9tX7t7h5K7LjU2CP7ik6tX/fU+nk7TOIruNn45q7rzvyJu9xbfbjD5hqi9KQGphsmT2YSLaF42zv3P/GTeoCX7qBfmZeZbjtFSdesjgzGWR2M8f6pPyf+ys8o9TqY6XNSoxSxsSEhFKe+JcKsU39O659/oNqGVevTfU7GmlXUfRetkEgRiSSZPfPHrAXk87dTU+XnCLedoqwbzUAGY3y+LcQ7Z91H5Lnb8AdcHF7iZoCq7Dvf53GxNRjnnZPupOm/t+IscXNoqYfhZnXfI14SRDhBa3OId0/5OZsBnr2NQKmLIwJu+qtKcfQLxqhvDPLO2ffRAhbx5t2ZIX4nhzps+IqZUJDV0YNxlqysN8295mEt9exP6FPu5ciAi/JibBBdIiMJNrTHeO+kOwn/62ZR1rdUHhlwF8/L4QT1wRjvnHgnLQBP/5i+fQIc4XVSWiTPGeE461ujvHfqz4k+ej3mARVM8TuZZDFRlOUbT5MIxfnopU9Y9vuXMP77YxyVPg7xORhlKpLvYklCwTjvHnc7GwBuv/DBKrvFMdNpc1cUY/wahi4T6fiGaDL03n1P/CT8ZcvsRb/nN5VDL/pB+fCLtyvFjva0HQZyIplC13WcDjuqouzo7JzPd5Id/0agZ2PUL/hRNrxt6akTvs8rAIse5mB3yaA3ayf/ymGyBgorX6EQ3Pg0seaP6DPxPhRT96V9LWv+TDbZQtXYHyMUpVsnbuvyX9Cw7vVbpl7PA/sV+v61f+1f+9f+9X9uvfsAx5YF/H90equ7MUw6xh/tuZO9rqWJhbZ8tLUt9d3jbqMB4I27qaossTzu8vU7SDXZCtvGElLxxpCWTSQdnn4VimpRCtahS0kquqXNMAzd4elXJhRVFOr9Kg1NJiObtwQjie8efCOf7Ffo+9f+tX/tX/vX/7l1x/moBw5mSp8AY82m4lu/JtKkNrfy/ul3s7Hz356/nQF9AhzqsmEv1KJVN6Atyqq2KK39ypjisGLppp2r0RphaTRFul8pB1jNhVu/ZjS01iif2mzK8kNuMPT9Cn3/2r/2r/1r//o/tz56iHFOh/UBu7NkrKoqogdueHcaXWQz6XQi3vpyXbO8/eS7CAHM/RVep008YLIFjrVa7dYuv0MgDMOQ6UT7ZsPIxCy20qFmi8VS6Fld1/VMsvVz3ZC6zVE62GQymQo9q2malkm2LNc0/caJ32Pl/qS4/Wv/2r/2r/3r/9xyWDm7tPbYY8qGXZyv5ijOR9fTbTQs+fklldn1LwNvAVhNDLe7q8/uM/5Ob671a+HmMsGN/6lKtC2katwdKGYPhUeoabSs/XMfPRWiYvRNCNVa8FlDS7Jt5a9rmjbPfQ32K/T9a//av/av/ev/2Fr0W4TVjNfiGoLF1W+31q/7sqS9HIuj3Oayrt8+zMFqwma2eq1W7zBUUzcd8oQJm28MmXgjVs/g7lu/ChM27wjSSj1W98BujQSEgs0zCLd9biXsL1vr8br9wl84keIgv7tkoNlk3vesUikJx0OtqUxizj3/umUrwL9uxlHl56AyL4OKyliVEI7TGkky57jb2frPmxRzbYkxwW1nrNNWXJZtNEG8KSQ+PvmuwHpok8/dhtfr4OByL7Wquu9Z47qO3BaiUTP48LjbCf7qSpNtdK02tdzLMLOpuD4JkQTBWIqPjvoxdf+7E8WmMsJtZ7LPhX3f7XSIJklvDbJwUzPLrvsT+kt30s/nYHqJB28x8KYy6M1hVgZjzD/nAdK/uRLTkComVPoZZ7d0PW6xx/RLEgvF+ORH/1LXLVmryxfvwOuyMb3UQ19TEfQzDGgOszWS5MNT7qLtz9eZzP1KtAPKvIy2WzAVCXMkkmDe0T955/N/3DST2hI5wuvgQId13+kHkEyTaQqx8MVPrUv/+mpa/8eN2Ms9TKkKMMxqLu78tYRpS2f56Njbc0lTz98uaiq88hCfC18xMGs6eijGmmBSfHLynTIF/cRLd24ZWuGVU112HMXsnc6SCcdZsi2iLD77XkO7+Tt3We0Wx4Eeh3e41WI37atnK4F4MhqOJsMf3fuvWzd/mfLapHaCYk/tU3v8Qvl9umz9KrtXvNt7GHV0K5TdP7u96c+eWr9u7zX/5bd+/aau68+83eb3lNzpL/Fd5Qm4nUIpLvWgJOrT27YF3739wocu6+u9sXFoH273lw76vt0z0okorpbZkWzQnW1L33/j7vTlLrtxWCBQeZ8rML5cKPYimFrgzLZLR+vClbPua7t80zaW9y1Xfu0rHX6OzT3EWmxdsKNkYybcuuLZp27Vb+xfoV3sC/T/kdM32oMojj0dqSYj2r74k3fuS11iMTEgEPA97ApMHKCYvKIoXOhx6fQsbCj1tv7gpTtYU1thf9RXNn6yyVqpFCM43EYGR2hZyNtWd/9ZM/jlhEGcW1pS+YA7MK5CqI5eoN+iVQ9dFLmyOciiqhLll/7SYefn6Fdcfyl74PNse/PK//31Ou17I/tqpwYC1Xc7/eNKhFJM7bXAmWkzHK0Ll79975GX2q0E/F7fI66S4unnNuLY2xY1XOhsuSEe54WRtdziDQy43uEb5RbF8lzJVj3SvvijWfelL9F0lMoS26PesvEHFcsbUmrYQssjtvZNvzh/prjvimM3H+T1ev7sKZ04QjH5i8KH1JPYgouaLJZtt44aeOa/Ap7S68srym7xlXm9xfZsSCf8RktT2/zbLnzgsrsf+9Gyr51w7yhhE923z95Jd3/9XmKHIbNfXe95+ZyBSV6/99KJh492egKuovfLpjV16ZxVRyWS2TP7ljHbG+h7Wc2EO5w274iiOUbXYmrT0nuPCEdnXe9xeWb0GXN9ubvy8F7ge020rv37qFTy0SsGV8lX/WUjzqmddI/V7OhTNMxaqsVSv+iO02uSnzV4vJVn14z/iccRGFc0zIaeUJqW/XJaJPrKFXabOqxi6HcH+gecjShSgUmkCG95qUZf+tANFjW1vrz/cVMqRl6PolqLhjneusAnF/7k6ouPbp/n87h+0GfMDyo8VUf2Dv3W/XNkOvW3qyyq8UygbOi5NZPutVocfYreW0u1mZVFt588JPnZco/be2afMTeWuCoO6QWHKKu0rP3r2FjinzeYVdVbPuSCgYGB5+RGtxZJwVDdK32ySx689sKZqYjXV31l7cSfuu2+0UXzsqEl1K3LHpgRj79+rmFgLe179MGVo2/oZgRmzxVvon2JR19w29WnTGl602oR11QM/s7IksEXUqwRAhBpnFWpL77n+5cfKzbavCVXjTt4pLekyt8L8shQVn26fkpmSeZS4AdfO+EuBPFEkmgsTkVZCcUaMF/12q/Qe7CCsbba4d5hbrfftWNudhHL5rDiK/OirNnaT1Xpa3X28VrdA/MzjItjKJPVj803SphNs6ZaHRXVNt84ch3MZJF8b8dZNhmX898jbKbkWru3v9XiqmXnuYP7CLOjEqtriNll/2yc1VlZYvMO7baZQk+XqnpxBMYST78yzmxzVzoC43NKt8j7NIGCPTAOm81VK2RKsfuGoVrcILWihbbNNxir3eup8LUPd7jKa+2BCb1Hv9IpOJ1PDrOq0UFWZ43d4qzpFQFmdlRg8/Q1+12fTbK7qmrsgfG9A7PqwFk6BZv1qSkGZsURGItisvbCfaiCIzAWq81TZbekhlhdtT6bZ2ivnD/V6sXhH0si8+ZQv8vwu8omoVq8vcAbYPMOx+4e4O9f0TTS5nQMc5RORjHZewEfAntgAjZnRVWfkuzwuMXh9gRc+cl0ReLDpuKv8GK12Grvv/qPyi2PXGV8rYS7Iti4pZFPFy3nu2eduF+h//+wDMNQdvZ2uhq40p13tOvzMt+NUArDQOyz3OtqYER+2IIQqIqi9CJ35jonqQqKVGCn4Sy9cAjyXnO+SaPs/n13fec9wGwYqLnB3Xtqo7i3Ya7tYysoNJKz57DuFD2TZhVFURRF7Do0ZF8bPEqJEAqqIoRUOkIUxRtjHfeBAjApKIoiOg2YLhYf+dGQCqYds3VkL9EuB0gOpUL2eN/u+L2DPkIgpVBUVai5aILci7PbPX6EUITVjKIqKEIoPQsT91S3KYowm+ROQmNvZV3nz4j8aRb5vX1O/1fhgud63RccbQvDBvdnYL8a9ti6WSgFaNO5P35hOHa0ft3zszsGLO0J59thEl9bhS6EsEop/btgLAZEuzBIRgIhYMsXCJLcBb7OhwCB2GmymmEYKIqCIhQkEqPTfOeCI1T3RVApSncjIeUXjohe3VX26H1lXt+LvRO2xVxe7qVCzj+viFw+S4/v5rr4HlmA3t+Utev9ZGf498aWkPmn5RfDzXJv6N15kt2eaNFtC27Rpbe429S6bke+fimyuJPcUlDEDlnXId86/iYAQ+bGMSqKstsIVfklXkCP+R5ywcMktWQdWrKpeyMJsCigp2Pd7qlnImipUCaZJtHxO80gq2XjWiZWh9leRne93NPRDeiZIJl4A6rZ0a1BlIltQk+3k01upbte/VLPkInXEUnQ9nVW6KOklL8AKgA1r8j/BPxjlzPhkJLfkasJvJfOE05lc85sEeVyD9Zk/rmeNRJSFIX5Cz9l0dKFnHbiGWxrbmLDpvVUV/bBZDLh9Xjp328AdQ1bWLlqBXa7nX61/Xnjndc5YMJkJo0/gNwozz1budstXVXJNaHOv3TO6zR4/tV3mDxuJP1qq78+gj4vfCQgDQOhKvmJphKlQ0Dti3ASgg/nLWTpynV855Rj8Hk9ubC8YWwXfMX1nc7RRFHVXL6qrqN0GgG5N3CGwlHWbdxCbXUlb87+mDNPPAq73ZbDia7n4O7oFd3Zm+lG4oRCUZ577V3OOPEo3E77DmHfiR9E5991iJbt+38lBxkpJYuWraamqpyPFyyjf20140YPy40CzeO887vn+mZ3jw/ZyZPd6T0VJYdfVd3pPHQ83yP+EwIpBFI3dp6aKwRtwTDzF6+gf2012azGmJGDc2NBBfRoPEAnA+eTBcuw2SyMGz0cQ9NQVIU33v2Y6soyxo4eRnNzK/UNTYwbNQxV/WqGYiqKwpb6zbzyxkvMPPwoQLDh8/WUlpRREihh1ZqVOB1O+vcbyOo1KzGkwegRY6ir38Ka9as5+/RzsdvtX5koCsZ4wbTlpcMS7XP6Kvk+7UX4+ehaxoiE297e2Mz8jt+3RFiNUv9K/Wc3HG4yW1TZDe1TifYWXcvEtE+v7qeqJqVQ9zfDMEglWrdKQ+qZ+GV9FEUVhZ/VZSresh7BO19bha4oylrDML4P/AQYBlwNbBFCjJFSni3AKhTxMlIukeABbMB0YEZe6fcXovz4/Ds/ZzGb2jNZ7TwhRBQpBwkhnjOZTZ9mMtlvK4pyoJQyATwGueEEe2Lyzzeux2wyEUtE+e2ff8XMw44iGG5n7icfMXzICAb2H8QTTz3OtpatTJ96CCOHj8ZkMrFx0wYmTzwQXd+zQtd1gzfen8uyVes5ZMoENmyqp3FbCzVV5YwfPYzXZs3hg08WMaC2mn59+/SOQu8NTyAv+P79/Ou4nA4mjRnO7HkLkYbk9G8dSZ/qin2CNZVK8Yd/PkNFqZ8FS1ezeMUahg3qj9/rYs4nSzj2iGlMGDNin/Y2DIM33/+YJSvWccD4kaTTGVav38jUSWOZfuD4HUZDD6MmC5ev5r7f/YPvXXQmz748i811W5kxdSKqqvDJwuX0ranE0A2GDOrH2vWb+NZRh+B2ObsVJ4lkinc+/BRFEQzqV8PKtRsJhiMMHlDLiMH9efuDT3JTpEr9eNwuNmyqZ8iAWlrbQ5x83OEUrRP2kTeSqTQPPvI4UyeNoa6hiTfencvYkUM46tApvD17HpmsxoghA4gnU7gcdvxeNweMH9UtHYWi8No7c3DYbKzbuIWhg/rR1h7G5bSzeMVaRgzuTyKZYmNdI5PHj2Lths0kU2m+c8oxVFWU7TFe88Y7H7Fw2SpKAz6GDuyHyWwiEonhcTtZv6mez5asZOXajdxwxbnMX7ySTDbL2d8+mory0u55OJPhz/96HpOqYrNZKS/1s3TlOjbVNTJkYD/Wb6qj4Y1mxo0agsft4r8vvsV9P/4eI4cN2rfz3Zlm+0A/IQQtbS2EwkEC/hJ+/os78Xt9TD/wEDZsXsdLr/yPIw+diZTwv1eep7yinBWrlnH2aefy2lsvk8lkcHyFCv0Pr42Ye+S4qqvLfaUTTb1gFWW0bLKxPTbrhj++0drxu6N+TPsvrzngpipv5Uy72eEqLGN0GYxHloXiiZbaktKDLWartbDs1/RgPLwgmc5kKv0lU80mS0E9renZbCgenXv5r99c/rVV6JqmxYBVQBsQV1VluaEbbinlw0CDhFZpyN8LwcWAllf6M4HXhCAgJX8CFgN9gSlSygeBq6WUzwMHSimH6pr+C+A3IN8SQqwXAo9hyB4zus/rJxINYzabOPqI41BVlXnzP0bTNDRdY9qBB/HuB28ze877TJs8HZ/Hu1sIqtvDn06zfmMdS1asI55IsrW5jQPGjuD9jxeyflM9TruNfjVVe7VnoQOf1TSEEJhUtXjiCUE4EmPegqVUlJXQ2haktT2ExWJh1oefcOF3TgZ975N4rBYLlWUlTJs0hqbmVjZuaWTFms+ZNHYEEhhQu+9GTVbT2bilkeVr1rO5fiu11RUsXrmW2urKnP+3V4JQUur30a+2in611bhdTrweF2++/zHbWtqwWS2k0hm8HhcvvPE+I4cMwG639cBOEGzd1spjT7/Cg7f/gE8WLWfapDG88taHzJ2/hJbWIFUVpei6wdMvvU0qleFDp51pB4xFNZm6L5HtxhPOZjVUVd1nL9FmtVBVUcqoYYPY1tJOVUUpnyxaTiye4KP5ixnYtw/VlWW89OYHGIbBbdddsudUB0WQTmd48oU3SabSzP54IeNGDeWThcuoLCshm81Sv7WZcaOGsXLNBmZ9+Cl9+1RS37iNqsrybvkklc7w3KvvcPCB4/lk0XJS6TSqYmJbaxvDBvZj45YGBvevZdjg/ny6eCWzZs+jprqChqYWKvZgLGQyGh/MW8iV55/GqvWb+Gzx1pzRMW4kH3+2lIqyAMMG92P2xws56tCpDBnQl341VfturAtBOpMBCVarZZ89U6fDhdvp4bDpR/Dx/I+YPfd9Bg4aiNViwevxYrVYaQ+2Ul5exqTxk/G4vdhtNr7qGq8po66djtX925TNM7T4ZGYhsiKrqdbwWz+54LBr7nn8lmaAW86926+q1fekzL5vS6vVUohYhpRk09E6sz0bSlq9IzSz2VSw+5uhy2w6+rkijGzS6hmaNZmUQs9qmmZkEtGF911x0uW3/vmatd+EpLhcZBKqgRECfi0UZYNhGN8GBgE6cBigCSFmSSn7AQOEEPOBz4AEuULbmMmk/kHT9AhwtJSyRcAHUjISZK1AzN4bPahpWQb2H0RVRTUP//nXDB44GK/Hy/xFn6KYciFVj8dHNpvFZDLtCIn28CAmkik2bmmkf20VJX4vIBg8sC9NLW0M7l/L/MUrSKcz2G3WfT84QqDrBo/99xUOPWgSQwb27R1PX8C4kUNZt7GOqZOqaGpuQzdSjBw6cJ/3F0JQU1VOwOdh3sJllAZ8aJqO3+tmQL8afCU+yGr75EVmslk2NzTRp6oCi9nEwH59qGtsoi0Y3nvUSigJeLFZLWxpaGJgvz6MGDIARQhqqyuoa2xiyIBaxowYzGNPv8IV55+KyWzOGTndwK6qKmNHDqHE72X1+k3UVlUwdFA/Nm5pZNTQgXy2dCUD+9UwddIYPvxkEad960henTWHAyeM3mcyJlNp/v7US5xx4kwqygL7luahKvTrU8WaDZvwup0MGzyAWDzJ8CH9qWtsoqa6gomjhzN3/lISyRRDB/Xbcb1U0N2RTBwznKdfepvTTjiCl96czRHTD0AA4UiUAX37YBiSsSOHYjGrrNmwmQF9q/F7PXvkP7NJZXD/GhavWEMsnqRvnypeenM2JpPKlAmjKS8NMKh/DWs/38yooQOo7VNJv5pK3C7H9oTU7oyyAbV9GDl8EO3hCC6HnUgswccLllFe6qc04KdfTSWt7SFqqspZtGw1G7c0MHrEkH07N4rgw3mLMAzJ0YdP26c9OsaHptIpwtEQfp8fVVHxef14PD6Sqdz40QMnTuOyi67E7XYTCgUx5FefzG4z277dd0j1hBGTB+fzy3qY+7CLjOzARCaVZcG7y09Kp9L/AF4DKPOWjfAFfKcdcOQYl91lK7y3gM9X1A1vqWtn4uGjMFtN3Qxmk6xe8PnYVDTN2EOGFzamBeiawbK5aw5Nrk6eCDz0jchylxJF5DzzFRLOkobRDARBrANpAp4DSqSUPwLuAdbnPdcNgG+XY5bLwBKUIVkD1AEXGlIOAj7sidfidDj5dOE8jpgxkxuu+SHBUBCnw4EQCrF4DJPJhNlsJplM4HZ5iCfjLFmxhOkHHtwzj1pKykr83HnT5WQyWRx2G4YhsVrNHDh+JHablWMOm5qLFHjcexaA3axoLI6m61SVl/Ra2L6mqpwLzzwRq8WM1+PiyIMPBCDg9+bC1/u4rjj/VMxmM1MnjSGRTGG1WjCbTLlSQk3f5+sCl8POrd//LqlUBpvNgjQkhx10AH6fZ+/DlVJSVV7Kz266AlVROXTaRKxmMwcdMBaLxUxbexi7zUpbKMyh0yYyaeyIPYf0pSTg83LXzVditpjJpDMIIbBaLUwYNQyHw87Rh00FwO/z8Id7f4TNZuXYw6fhcbvyON9LD0UIWttDOO02SnyefXe2JFx67skkkiksFjMWs5lDpozH6bAzffI40uksAb+XyvISxo8elosm7MG4QUpqqyt55P5bsNtsHHPYNLxuJ6OGDaI9mMOvqipYrRYsFjMDaqvJZLKUBLx7VLqqqvKDy85h45YG/v38Gxw+/QCmTx6Hoig4HXYOnTYRm9XKuJFD8bidHD598s57dwO2w27jtusvweV0cOJRM9B1HUNKmlvbOXz6ZI6aMQUhBFMnjsFuszJh9LCcwb6v59KQTJ00ZnsOy75EaGxWG/Vb66hv3MK3jz+VZDKJz+tDCJg26WCEALfLw7gx43G5chHnBYs/I53JoCpfnXp56LJ/CJPJbLM7bVjtFgzDIJlKYhg6bpdne45SRx5Lx7+FyHnTqqKSyWRIpOI47A7MJjMmswmb3Wq2mW3b7xGsZpPZYjGbHG4bJrOpm2sigcvjJGyLYnfZunXucs86MDSJzdF9bwuzFZweBzaLPfC1Dbl38speAuYpAk2HNgHfR3CKlNiEEFebTOoKXdd/D2I9yFYpOUZRlGZd1y8DTgAGAguEEGuEovxSEaJFUcRbUrJWCKVOCiOGlBbgZuB/PYFJ13UOP/RIDpg4GZfLjdlspqpyR+jb7XZvPww+ry+HdLOZay69Fq/Hg67re9YNeebyez27ZUnb8lcv5WUlO5RNEXffbpeD8884AYfd1jt36FJiMZuprCjdDndpia+zub9v3yHl9ntmm9WC2+3aWUgVAft2w8grdi4d2hfc5jN8SwK+LpVgVWUZAHablZ/ecFlO4fbgO1RVwevJCUyHzbpTSHsHP+QqAHzeHA/abJZOON97fFeWl3LWycdgMpmKopvTYcfptG/Hhz0Pf8DnzSWhGQaXn3cqLqe9Z/kKUqIo+fPR6T1VVaW6aveQekkgF+HqET2lxG6zMmzwAG6++gI8bme+90RHZVsO9oq8AWy3W3fZu3u+8HlytDHZc8mXpx1/BCcdcyglfi9qPizcgZ+yUn/RZ8bldOzz+TAMg8EDh3DT927B5XLhdDjxeX3bZV1lhX27rOtsBEyaMJnxYyficNi/slxdTdOwYpYdmfVZLcs///M3+lTVMGLoKF5/+xVU1cTB02bw+luvoCgKhxw0g+WrlrG1aSuDBgxm8sQp/O/V5zjysKM4cOJUNE0raLXu8T3l9v/pptJpB916jLftxpr8+rd+lVK+kyPG9vKSFUhWdL7fAx7rQNTatWvXAgwdOnQLsHD7HWnuub9lct7hh8CHeu4e98EeQrIT9u02Ow67Y6dM9M4M3fnfUkosFguVFZU7WYK7XVQhugjzdGNZd1OTLbr6vwJ7qKqK0652uU9XMR6xJ83QVVhLUhDWHTCKXcAvFPoqgJfuYe9pAe3u/+6REOyCdrKb75ASq9Wy415zt+8QewN1YT6Re8KN2INhZsJiNhVn6PUAHznj1V1Y8QghkIjtv++uvK8gHrqip9gdC3lDTlUEvrwB1aWR0bn8breXEx2HpRMtRdfv7fMUNh4L0U/0kDOE6On56IQFscsVhJmK8gpkviph14qELo1jr2+nCo7Of/uqlqHrxOIxJk+cwuw577Fo6UJmHHQY6XSKJSsWM33KITgdLpauWEr/vv15+703OXLGUfTvO5BwJLyjfO9rHs3+P9VYZujQoV8Ivi0ma7aQ4t4Tk3au49z+sxAYhkQgpCLQpNGRjtcLjU+EQEodaZA2DE0HvXAt9F4dMAVDT5PVjIymo0up54qDe+mQSqlhGOiG3F6f1wvHR0FKDVUhLchqUmYpupFKJ6EvpWFIicwNbVDIpXPspaDtEhmGSKTRTJqmSan1vJZ9D99pGBkyWUPTNPQ9wtpTZZBvfiGlQVoja9Y0TRpaHh/GvuG2M/2MDLpuJCTSJKXeS/RTkNJA5njNkDLLTudvd4NiL2AXSCONIvRsViNt6OmuYd7LhjIdsBlGxkikSNtVmZVGJt80xegFmaFh6Fk9lZEZaZU7oaOnsq5Lx0bkPH3D0PXW1uavVD8oQkFRFMaNnkAmk+Xt995AUVTsNjtVFVXY7Q50XSMWi3HhORdTWVm1ozPoN6T9w/5OcT1YLodnbbg9uq25rrW6tDpQdFQ6Hk3S3NCmG4a+GFiTin7eHG+eV+MsO7BoBZlNNBFr/kTXDF6NRxuOjja+Xe7reyJCKWrYGnomQrj+LaLx1KfhOAvt7avDidbPvHbfyKLxm45sIBFaHG+LMstsr+sfbfpwuLtyRtE9u7OpViJNH0mPg9kmER0RaZw10uLom2uXWZS1nybS+BbRWHhZNsOaWMunBznLDsJkDRRp1OjEts0hGW9r3NzCggHmxtWRhjfK/f1OKZ5+2RiRhteIxmLzYwmWOMIbQom2hT67b0TRSjId/Zx4++pEa5i3hKm+Mtr41jRvzQndNsToMc81vEEqlX7bZsn4o43vDbI6+/cO/RreIRkPrWmLMj8Q3tgY3/bBAGf59F7guWZizR9Jh4X5qTTmcMM7J9oD4zHbyorkDYNY04fEQ+sa1zSwYEifxPxQ3RsHWJz9UM3FzZeQRpZo49vEIlvXb2hRFvj8sabm+tZAZb+youVROpmhaUsr8VR82R1/v/4rzZTLajllHYmGicbDHDxtBhPHT6KxqZ66xjr6VNcwedIUDjv4CIYOHEY6kyaRiBPw+/cpaLZfoX9N12dr5yw/2HrUzxfOXv5Dj9/dp7iWqpJ4LBGKBKPPRJPB55auJ+xytvzcWHzvj+zuPjWquu97SwnpRHs0GWt4NpLgj+ls6hN15V/uDzW8McLUXVrlnk140qloKhLc8n5ziEcM6dwYbNv4C23+7Vc5PJUVxRx6KSWJWHNrMrbt0c+38SenPdhUv/SXtzs2PdVfVU37PsoSSCdCsXik/uW2CH9x2qkS61+ojrYsmGyxOi3F4CKbSWZj4c2L4kntvliKTda6D/skwhuPtzm8RY2x1HXNiIfrPo/Gonecfg8LX/955ufqqkfvDzfOGlks/TKpaCoS2vLh1nYeXrqJ9R7Xlvuz82/7nsNdVa4oQhRDv2SsuT0W3fb3bWEeV5TkFrH8T/cE618bbjJZ1GJcmxzP1b1T18qvy73SoX7+fFW09bMpvUG/eHjLklgye++pd/PpnIfa7968+Be3uDw1fZUi6pUlkIoHo4low4uhBP+JJVEtdR+PTcWvO9Hq8LtEUbyhG4lI/aZwJHT3eQ+y5qU7eVj9/NX+ieCygy02t60ofGTTWjKyZUU4mrn7x395bvEDV828c+nc1XdtXFk/QC2yfjuZSMbC7eHXs9nM375Mmd0ebcXpq821HhK5PKaRw0bR0FjPjOmHMXH8AZhMJlRFZcSwkRiGjqqaOHDSVBRFwZAGrW0tmE1m+tb23+mqtIuLhnzktbAn3znLfo/yUux8u9RdcG77936dW79+3dYrHz2vl3qr/lrpq55VGq3sn5uHLvfp8BjSoC3R1Ly1vX71o//7fQrgzvN4dNKg9nerA+39bBbUfds5d9W3LUTr1hCrzn+Q5B3fVWeNqY5/q0/JqmEeBxZZhKRqixLd0sLK839JGOL87ToerPY3v1Bd0lxjVhH7CnNWR9a30pDRWX/F78j88AyenD4i/FF1IDzIYS0CFxKa2gm2xlj1nfuJAc1P/ih9RlVg3fAyD459F38QipOqa2X12ffTAsj/3qpdXhrZNLLCh29fTXgBJNJo9a1s0AV1AFf+nncevDhxYt/SVcPcxdMvtrmZlRc8RAhgVF9+5Qi1vFRT0lJjNu07/TQD2dhGUzTF2vMfJH3waF6/+vjYkoEVK4f0AszRujZWnvcLwgBP35o+s8K3bkSJZ9/nfwsgHCfV0M7qM+6lBWDWIh4bNyD0Xt/S0MBiz19jO22tUVaf+wviAI9eb1zdP7Hl4XLfloAogjfiKbT6NjZsbhV1IDnpTlY9cXP2nNrEhpElblzF8F04Trq+jTVPzVO3gY5u6M81tzR/GovEB1nNtn2fhy4hFG9tj8Q3rf7V0w/HvkyZ/cCzt8pffe/RcCycINIeQwjBzOnHIKUkHk6CgAzaTi2Is2TorLGdFjcnHX0aCIgEY2RSGRKxZCqVTW5vQZ7Kasl0Kp0ONodtubK1wgwdbA6TiqcJtUQwW83djKwwCLZEyCQzhFqjqCa1UBk6uqYRaY/KRDrR+E2IIOxf+9f+tX/tX/vXXq97L//9RJfT/Xe73T6uN6ZkapqWjcai/63ftuna3zxzTxDg2rNucdeWDvil2+W5yGw2m7uNZCWS63VD3+ZwOKaoqlrQmTYMg0QiudyQetLpcE7qLkqi67pMJBLvhGPBS+549IYt/w9hYFSSLljYQQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyNC0wOC0wNlQxMzoyMTo0MyswMDowMCjEyrMAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjQtMDgtMDZUMTM6MjE6NDMrMDA6MDBZmXIPAAAAAElFTkSuQmCC decoding=async width=330 height=123 class=mw-file-element srcset data-file-width=1426 data-file-height=532 sizes></a><figcaption>High-level schematic diagram of BERT. It takes in a text, tokenizes it into a sequence of tokens, add in optional special tokens, and apply a Transformer encoder. The hidden states of the last layer can then be used as contextual word embeddings.</figcaption></figure>
<p>BERT is an "encoder-only" <a href=https://en.wikipedia.org/wiki/Transformer_(machine_learning_model) class=mw-redirect title="Transformer (machine learning model)">transformer</a> architecture. At a high level, BERT consists of 4 modules:
</p>
<ul><li>Tokenizer: This module converts a piece of English text into a sequence of integers ("tokens").</li>
<li><a href=https://en.wikipedia.org/wiki/Word_embedding title="Word embedding">Embedding</a>: This module converts the sequence of tokens into an array of real-valued vectors representing the tokens. It represents the conversion of discrete token types into a lower-dimensional <a href=https://en.wikipedia.org/wiki/Euclidean_space title="Euclidean space">Euclidean space</a>.</li>
<li>Encoder: a stack of Transformer blocks with <a href=https://en.wikipedia.org/wiki/Attention_(machine_learning) title="Attention (machine learning)">self-attention</a>, but without causal masking.</li>
<li>Task head: This module converts the final representation vectors into one-hot encoded tokens again by producing a predicted probability distribution over the token types. It can be viewed as a simple decoder, decoding the latent representation into token types, or as an "un-embedding layer".</ul>
<p>The task head is necessary for pre-training, but it is often unnecessary for so-called "downstream tasks," such as <a href=https://en.wikipedia.org/wiki/Question_answering title="Question answering">question answering</a> or <a href=https://en.wikipedia.org/wiki/Sentiment_analysis title="Sentiment analysis">sentiment classification</a>. Instead, one removes the task head and replaces it with a newly initialized module suited for the task, and finetune the new module. The latent vector representation of the model is directly fed into this new module, allowing for sample-efficient <a href=https://en.wikipedia.org/wiki/Transfer_learning title="Transfer learning">transfer learning</a>.<sup id=cite_ref-:0_1-2 class=reference><a href=#cite_note-:0-1><span class=cite-bracket>[</span>1<span class=cite-bracket>]</span></a></sup><sup id=cite_ref-8 class=reference><a href=#cite_note-8><span class=cite-bracket>[</span>8<span class=cite-bracket>]</span></a></sup>
</p>
<figure class=mw-default-size typeof=mw:File/Thumb><a href=https://en.wikipedia.org/wiki/File:BERT_encoder-only_attention.svg class=mw-file-description><img src="data:image/png;base64,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" decoding=async width=250 height=118 class=mw-file-element srcset data-file-width=532 data-file-height=252 sizes></a><figcaption>Encoder-only attention is all-to-all.</figcaption></figure>
<div class="mw-heading mw-heading3"><h3 id=Embedding>Embedding</h3><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=2" title="Edit section: Embedding"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<p>This section describes the embedding used by BERT<sub>BASE</sub>. The other one, BERT<sub>LARGE</sub>, is similar, just larger.
<p>The tokenizer of BERT is WordPiece, which is a sub-word strategy like <a href=https://en.wikipedia.org/wiki/Byte-pair_encoding title="Byte-pair encoding">byte-pair encoding</a>. Its vocabulary size is 30,000, and any token not appearing in its vocabulary is replaced by <code>[UNK]</code> ("unknown").
</p>
<figure typeof=mw:File/Thumb><a href=https://en.wikipedia.org/wiki/File:BERT_input_embeddings.png class=mw-file-description><img src="data:image/png;base64,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" decoding=async width=284 height=73 class=mw-file-element srcset data-file-width=1338 data-file-height=344 sizes></a><figcaption>The three kinds of embedding used by BERT: token type, position, and segment type.</figcaption></figure>
<p>The first layer is the embedding layer, which contains three components: token type embeddings, position embeddings, and segment type embeddings.
</p>
<ul><li>Token type: The token type is a standard embedding layer, translating a one-hot vector into a dense vector based on its token type.</li>
<li>Position: The position embeddings are based on a token's position in the sequence. BERT uses absolute position embeddings, where each position in a sequence is mapped to a real-valued vector. Each dimension of the vector consists of a <a href=https://en.wikipedia.org/wiki/Sine_wave title="Sine wave">sinusoidal function</a> that takes the position in the sequence as input.</li>
<li>Segment type: Using a vocabulary of just 0 or 1, this embedding layer produces a dense vector based on whether the token belongs to the first or second text segment in that input. In other words, type-1 tokens are all tokens that appear after the <code>[SEP]</code> special token. All prior tokens are type-0.</ul>
<p>The three embedding vectors are added together representing the initial token representation as a function of these three pieces of information. After embedding, the vector representation is normalized using a <a href=https://en.wikipedia.org/wiki/LayerNorm class=mw-redirect title=LayerNorm>LayerNorm</a> operation, outputting a 768-dimensional vector for each input token. After this, the representation vectors are passed forward through 12 Transformer encoder blocks, and are decoded back to 30,000-dimensional vocabulary space using a basic affine transformation layer.
</p>
<div class="mw-heading mw-heading3"><h3 id=Architectural_family>Architectural family</h3><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=3" title="Edit section: Architectural family"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<p>The encoder stack of BERT has 2 free parameters: <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle L}">
<semantics>
<mrow class=MJX-TeXAtom-ORD>
<mstyle displaystyle=true scriptlevel=0>
<mi>L</mi>
</mstyle>
</mrow>
<annotation encoding=application/x-tex>{\displaystyle L}</annotation>
</semantics>
</math></span><img src=data:image/svg+xml;base64,PHN2ZyB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayIgd2lkdGg9IjEuNTgzZXgiIGhlaWdodD0iMi4xNzZleCIgc3R5bGU9InZlcnRpY2FsLWFsaWduOiAtMC4zMzhleDsiIHZpZXdCb3g9IjAgLTc5MS4zIDY4MS41IDkzNi45IiByb2xlPSJpbWciIGZvY3VzYWJsZT0iZmFsc2UiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgYXJpYS1sYWJlbGxlZGJ5PSJNYXRoSmF4LVNWRy0xLVRpdGxlIj4KPHRpdGxlIGlkPSJNYXRoSmF4LVNWRy0xLVRpdGxlIj57XGRpc3BsYXlzdHlsZSBMfTwvdGl0bGU+CjxkZWZzIGFyaWEtaGlkZGVuPSJ0cnVlIj4KPHBhdGggc3Ryb2tlLXdpZHRoPSIxIiBpZD0iRTEtTUpNQVRISS00QyIgZD0iTTIyOCA2MzdRMTk0IDYzNyAxOTIgNjQxUTE5MSA2NDMgMTkxIDY0OVExOTEgNjczIDIwMiA2ODJRMjA0IDY4MyAyMTcgNjgzUTI3MSA2ODAgMzQ0IDY4MFE0ODUgNjgwIDUwNiA2ODNINTE4UTUyNCA2NzcgNTI0IDY3NFQ1MjIgNjU2UTUxNyA2NDEgNTEzIDYzN0g0NzVRNDA2IDYzNiAzOTQgNjI4UTM4NyA2MjQgMzgwIDYwMFQzMTMgMzM2UTI5NyAyNzEgMjc5IDE5OFQyNTIgODhMMjQzIDUyUTI0MyA0OCAyNTIgNDhUMzExIDQ2SDMyOFEzNjAgNDYgMzc5IDQ3VDQyOCA1NFQ0NzggNzJUNTIyIDEwNlQ1NjQgMTYxUTU4MCAxOTEgNTk0IDIyOFQ2MTEgMjcwUTYxNiAyNzMgNjI4IDI3M0g2NDFRNjQ3IDI2NCA2NDcgMjYyVDYyNyAyMDNUNTgzIDgzVDU1NyA5UTU1NSA0IDU1MyAzVDUzNyAwVDQ5NCAtMVE0ODMgLTEgNDE4IC0xVDI5NCAwSDExNlEzMiAwIDMyIDEwUTMyIDE3IDM0IDI0UTM5IDQzIDQ0IDQ1UTQ4IDQ2IDU5IDQ2SDY1UTkyIDQ2IDEyNSA0OVExMzkgNTIgMTQ0IDYxUTE0NyA2NSAyMTYgMzM5VDI4NSA2MjhRMjg1IDYzNSAyMjggNjM3WiI+PC9wYXRoPgo8L2RlZnM+CjxnIHN0cm9rZT0iY3VycmVudENvbG9yIiBmaWxsPSJjdXJyZW50Q29sb3IiIHN0cm9rZS13aWR0aD0iMCIgdHJhbnNmb3JtPSJtYXRyaXgoMSAwIDAgLTEgMCAwKSIgYXJpYS1oaWRkZW49InRydWUiPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQVRISS00QyIgeD0iMCIgeT0iMCI+PC91c2U+CjwvZz4KPC9zdmc+ class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:1.583ex;height:2.176ex alt="{\displaystyle L}"></span>, the number of layers, and <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle H}">
<semantics>
<mrow class=MJX-TeXAtom-ORD>
<mstyle displaystyle=true scriptlevel=0>
<mi>H</mi>
</mstyle>
</mrow>
<annotation encoding=application/x-tex>{\displaystyle H}</annotation>
</semantics>
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:2.064ex;height:2.176ex alt="{\displaystyle H}"></span>, the <i>hidden size</i>. There are always <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle H/64}">
<semantics>
<mrow class=MJX-TeXAtom-ORD>
<mstyle displaystyle=true scriptlevel=0>
<mi>H</mi>
<mrow class=MJX-TeXAtom-ORD>
<mo>/</mo>
</mrow>
<mn>64</mn>
</mstyle>
</mrow>
<annotation encoding=application/x-tex>{\displaystyle H/64}</annotation>
</semantics>
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.838ex;width:5.551ex;height:2.843ex alt="{\displaystyle H/64}"></span> self-attention heads, and the feed-forward/filter size is always <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle 4H}">
<semantics>
<mrow class=MJX-TeXAtom-ORD>
<mstyle displaystyle=true scriptlevel=0>
<mn>4</mn>
<mi>H</mi>
</mstyle>
</mrow>
<annotation encoding=application/x-tex>{\displaystyle 4H}</annotation>
</semantics>
</math></span><img src="data:image/svg+xml;base64,PHN2ZyB4bWxuczp4bGluaz0iaHR0cDovL3d3dy53My5vcmcvMTk5OS94bGluayIgd2lkdGg9IjMuMjI2ZXgiIGhlaWdodD0iMi4xNzZleCIgc3R5bGU9InZlcnRpY2FsLWFsaWduOiAtMC4zMzhleDsiIHZpZXdCb3g9IjAgLTc5MS4zIDEzODkgOTM2LjkiIHJvbGU9ImltZyIgZm9jdXNhYmxlPSJmYWxzZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIiBhcmlhLWxhYmVsbGVkYnk9Ik1hdGhKYXgtU1ZHLTEtVGl0bGUiPgo8dGl0bGUgaWQ9Ik1hdGhKYXgtU1ZHLTEtVGl0bGUiPntcZGlzcGxheXN0eWxlIDRIfTwvdGl0bGU+CjxkZWZzIGFyaWEtaGlkZGVuPSJ0cnVlIj4KPHBhdGggc3Ryb2tlLXdpZHRoPSIxIiBpZD0iRTEtTUpNQUlOLTM0IiBkPSJNNDYyIDBRNDQ0IDMgMzMzIDNRMjE3IDMgMTk5IDBIMTkwVjQ2SDIyMVEyNDEgNDYgMjQ4IDQ2VDI2NSA0OFQyNzkgNTNUMjg2IDYxUTI4NyA2MyAyODcgMTE1VjE2NUgyOFYyMTFMMTc5IDQ0MlEzMzIgNjc0IDMzNCA2NzVRMzM2IDY3NyAzNTUgNjc3SDM3M0wzNzkgNjcxVjIxMUg0NzFWMTY1SDM3OVYxMTRRMzc5IDczIDM3OSA2NlQzODUgNTRRMzkzIDQ3IDQ0MiA0Nkg0NzFWMEg0NjJaTTI5MyAyMTFWNTQ1TDc0IDIxMkwxODMgMjExSDI5M1oiPjwvcGF0aD4KPHBhdGggc3Ryb2tlLXdpZHRoPSIxIiBpZD0iRTEtTUpNQVRISS00OCIgZD0iTTIyOCA2MzdRMTk0IDYzNyAxOTIgNjQxUTE5MSA2NDMgMTkxIDY0OVExOTEgNjczIDIwMiA2ODJRMjA0IDY4MyAyMTkgNjgzUTI2MCA2ODEgMzU1IDY4MVEzODkgNjgxIDQxOCA2ODFUNDYzIDY4MlQ0ODMgNjgyUTQ5OSA2ODIgNDk5IDY3MlE0OTkgNjcwIDQ5NyA2NThRNDkyIDY0MSA0ODcgNjM4SDQ4NVE0ODMgNjM4IDQ4MCA2MzhUNDczIDYzOFQ0NjQgNjM3VDQ1NSA2MzdRNDE2IDYzNiA0MDUgNjM0VDM4NyA2MjNRMzg0IDYxOSAzNTUgNTAwUTM0OCA0NzQgMzQwIDQ0MlQzMjggMzk1TDMyNCAzODBRMzI0IDM3OCA0NjkgMzc4SDYxNEw2MTUgMzgxUTYxNSAzODQgNjQ2IDUwNFE2NzQgNjE5IDY3NCA2MjdUNjE3IDYzN1E1OTQgNjM3IDU4NyA2MzlUNTgwIDY0OFE1ODAgNjUwIDU4MiA2NjBRNTg2IDY3NyA1ODggNjc5VDYwNCA2ODJRNjA5IDY4MiA2NDYgNjgxVDc0MCA2ODBRODAyIDY4MCA4MzUgNjgxVDg3MSA2ODJRODg4IDY4MiA4ODggNjcyUTg4OCA2NDUgODc2IDYzOEg4NzRRODcyIDYzOCA4NjkgNjM4VDg2MiA2MzhUODUzIDYzN1Q4NDQgNjM3UTgwNSA2MzYgNzk0IDYzNFQ3NzYgNjIzUTc3MyA2MTggNzA0IDM0MFQ2MzQgNThRNjM0IDUxIDYzOCA1MVE2NDYgNDggNjkyIDQ2SDcyM1E3MjkgMzggNzI5IDM3VDcyNiAxOVE3MjIgNiA3MTYgMEg3MDFRNjY0IDIgNTY3IDJRNTMzIDIgNTA0IDJUNDU4IDJUNDM3IDFRNDIwIDEgNDIwIDEwUTQyMCAxNSA0MjMgMjRRNDI4IDQzIDQzMyA0NVE0MzcgNDYgNDQ4IDQ2SDQ1NFE0ODEgNDYgNTE0IDQ5UTUyMCA1MCA1MjIgNTBUNTI4IDU1VDUzNCA2NFQ1NDAgODJUNTQ3IDExMFQ1NTggMTUzUTU2NSAxODEgNTY5IDE5OFE2MDIgMzMwIDYwMiAzMzFUNDU3IDMzMkgzMTJMMjc5IDE5N1EyNDUgNjMgMjQ1IDU4UTI0NSA1MSAyNTMgNDlUMzAzIDQ2SDMzNFEzNDAgMzggMzQwIDM3VDMzNyAxOVEzMzMgNiAzMjcgMEgzMTJRMjc1IDIgMTc4IDJRMTQ0IDIgMTE1IDJUNjkgMlQ0OCAxUTMxIDEgMzEgMTBRMzEgMTIgMzQgMjRRMzkgNDMgNDQgNDVRNDggNDYgNTkgNDZINjVROTIgNDYgMTI1IDQ5UTEzOSA1MiAxNDQgNjFRMTQ3IDY1IDIxNiAzMzlUMjg1IDYyOFEyODUgNjM1IDIyOCA2MzdaIj48L3BhdGg+CjwvZGVmcz4KPGcgc3Ryb2tlPSJjdXJyZW50Q29sb3IiIGZpbGw9ImN1cnJlbnRDb2xvciIgc3Ryb2tlLXdpZHRoPSIwIiB0cmFuc2Zvcm09Im1hdHJpeCgxIDAgMCAtMSAwIDApIiBhcmlhLWhpZGRlbj0idHJ1ZSI+CiA8dXNlIHhsaW5rOmhyZWY9IiNFMS1NSk1BSU4tMzQiIHg9IjAiIHk9IjAiPjwvdXNlPgogPHVzZSB4bGluazpocmVmPSIjRTEtTUpNQVRISS00OCIgeD0iNTAwIiB5PSIwIj48L3VzZT4KPC9nPgo8L3N2Zz4=" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.338ex;width:3.226ex;height:2.176ex alt="{\displaystyle 4H}"></span>. By varying these two numbers, one obtains an entire family of BERT models.<sup id=cite_ref-9 class=reference><a href=#cite_note-9><span class=cite-bracket>[</span>9<span class=cite-bracket>]</span></a></sup>
<p>For BERT:
</p>
<ul><li>the <i>feed-forward size</i> and <i>filter size</i> are synonymous. Both of them denote the number of dimensions in the middle layer of the feed-forward network.</li>
<li>the <i>hidden size</i> and <i>embedding size</i> are synonymous. Both of them denote the number of real numbers used to represent a token.</ul>
<p>The notation for encoder stack is written as L/H. For example, BERT<sub>BASE</sub> is written as 12L/768H, BERT<sub>LARGE</sub> as 24L/1024H, and BERT<sub>TINY</sub> as 2L/128H.
</p>
<div class="mw-heading mw-heading2"><h2 id=Training>Training</h2><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=4" title="Edit section: Training"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<div class="mw-heading mw-heading3"><h3 id=Pre-training>Pre-training</h3><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=5" title="Edit section: Pre-training"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<p>BERT was pre-trained simultaneously on two tasks:<sup id=cite_ref-10 class=reference><a href=#cite_note-10><span class=cite-bracket>[</span>10<span class=cite-bracket>]</span></a></sup>
</p>
<ul><li><i>Masked language modeling</i> (MLM): In this task, BERT ingests a sequence of words, where one word may be randomly changed ("masked"), and BERT tries to predict the original words that had been changed. For example, in the sentence "The cat sat on the <code>[MASK]</code>," BERT would need to predict "mat." This helps BERT learn bidirectional context, meaning it understands the relationships between words not just from left to right or right to left but from both directions at the same time.</ul>
<ul><li><i>Next sentence prediction</i> (NSP): In this task, BERT is trained to predict whether one sentence logically follows another. For example, given two sentences, "The cat sat on the mat" and "It was a sunny day", BERT has to decide if the second sentence is a valid continuation of the first one. This helps BERT understand relationships between sentences, which is important for tasks like question answering or document classification.</ul>
<div class="mw-heading mw-heading4"><h4 id=Masked_language_modeling>Masked language modeling</h4><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=6" title="Edit section: Masked language modeling"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<figure class=mw-default-size typeof=mw:File/Thumb><a href=https://en.wikipedia.org/wiki/File:BERT_masked_language_modelling_task.png class=mw-file-description><img src=data:image/png;base64,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 decoding=async width=250 height=124 class=mw-file-element srcset data-file-width=1426 data-file-height=708 sizes></a><figcaption>The masked language modeling task</figcaption></figure>
<p>In masked language modeling, 15% of tokens would be randomly selected for masked-prediction task, and the training objective was to predict the masked token given its context. In more detail, the selected token is:
</p>
<ul><li>replaced with a <code>[MASK]</code> token with probability 80%,</li>
<li>replaced with a random word token with probability 10%,</li>
<li>not replaced with probability 10%.</ul>
<p>The reason not all selected tokens are masked is to avoid the dataset shift problem. The dataset shift problem arises when the distribution of inputs seen during training differs significantly from the distribution encountered during inference. A trained BERT model might be applied to word representation (like <a href=https://en.wikipedia.org/wiki/Word2Vec class=mw-redirect title=Word2Vec>Word2Vec</a>), where it would be run over sentences not containing any <code>[MASK]</code> tokens. It is later found that more diverse training objectives are generally better.<sup id=cite_ref-11 class=reference><a href=#cite_note-11><span class=cite-bracket>[</span>11<span class=cite-bracket>]</span></a></sup>
<p>As an illustrative example, consider the sentence "my dog is cute". It would first be divided into tokens like "my<sub>1</sub> dog<sub>2</sub> is<sub>3</sub> cute<sub>4</sub>". Then a random token in the sentence would be picked. Let it be the 4th one "cute<sub>4</sub>". Next, there would be three possibilities:
</p>
<ul><li>with probability 80%, the chosen token is masked, resulting in "my<sub>1</sub> dog<sub>2</sub> is<sub>3</sub> <code>[MASK]</code><sub>4</sub>";</li>
<li>with probability 10%, the chosen token is replaced by a uniformly sampled random token, such as "happy", resulting in "my<sub>1</sub> dog<sub>2</sub> is<sub>3</sub> happy<sub>4</sub>";</li>
<li>with probability 10%, nothing is done, resulting in "my<sub>1</sub> dog<sub>2</sub> is<sub>3</sub> cute<sub>4</sub>".</ul>
<p>After processing the input text, the model's 4th output vector is passed to its decoder layer, which outputs a probability distribution over its 30,000-dimensional vocabulary space.
</p>
<div class="mw-heading mw-heading4"><h4 id=Next_sentence_prediction>Next sentence prediction</h4><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=7" title="Edit section: Next sentence prediction"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<figure class=mw-default-size typeof=mw:File/Thumb><a href=https://en.wikipedia.org/wiki/File:BERT_next_sequence_prediction_task.png class=mw-file-description><img src=data:image/png;base64,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 decoding=async width=250 height=129 class=mw-file-element srcset data-file-width=1426 data-file-height=738 sizes></a><figcaption>The next sentence prediction task</figcaption></figure>
<p>Given two sentences, the model predicts if they appear sequentially in the training corpus, outputting either <code>[IsNext]</code> or <code>[NotNext]</code>. During training, the algorithm sometimes samples two sentences from a single continuous span in the training corpus, while at other times, it samples two sentences from two discontinuous spans.
<p>The first sentence starts with a special token, <code>[CLS]</code> (for "classify"). The two sentences are separated by another special token, <code>[SEP]</code> (for "separate"). After processing the two sentences, the final vector for the <code>[CLS]</code> token is passed to a linear layer for binary classification into <code>[IsNext]</code> and <code>[NotNext]</code>.
<p>For example:
</p>
<ul><li>Given "<code>[CLS]</code> my dog is cute <code>[SEP]</code> he likes playing <code>[SEP]</code>", the model should predict <code>[IsNext]</code>.</li>
<li>Given "<code>[CLS]</code> my dog is cute <code>[SEP]</code> how do magnets work <code>[SEP]</code>", the model should predict <code>[NotNext]</code>.</ul>
<div class="mw-heading mw-heading3"><h3 id=Fine-tuning>Fine-tuning</h3><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=8" title="Edit section: Fine-tuning"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<style data-mw-deduplicate=TemplateStyles:r1275594942 class=sf-hidden>@media all and (max-width:720px){.mw-parser-output .mod-gallery{width:100%!important}}.mw-parser-output .mod-gallery{display:table}.mw-parser-output .mod-gallery-default{background:transparent;margin-top:4px}.mw-parser-output .mod-gallery-center{margin-left:auto;margin-right:auto}.mw-parser-output .mod-gallery-center .gallery{justify-content:center}.mw-parser-output .mod-gallery .title,.mw-parser-output .mod-gallery .main{display:table-row}.mw-parser-output .mod-gallery .title>div{display:table-cell;padding:0 4px 4px;text-align:center;font-weight:bold}.mw-parser-output .mod-gallery .main>div{display:table-cell}.mw-parser-output .mod-gallery .gallery.gallery.gallery{line-height:1.35em;display:flex;flex-wrap:wrap;column-gap:4px}.mw-parser-output .mod-gallery .title>div *{overflow:visible}.mw-parser-output .mod-gallery .gallerybox img{background:none!important}.mw-parser-output .mod-gallery .bordered-images .thumb img{outline:solid var(--background-color-neutral,#eaecf0) 1px}.mw-parser-output .mod-gallery .whitebg .thumb{background:var(--background-color-base,#fff)!important}</style><div class="mod-gallery mod-gallery-default mod-gallery-center"><div class=title><div>Fine-tuned tasks for BERT<sup id=cite_ref-zhangetal2024_12-0 class=reference><a href=#cite_note-zhangetal2024-12><span class=cite-bracket>[</span>12<span class=cite-bracket>]</span></a></sup></div></div><div class=main><div><ul class="nochecker bordered-images whitebg gallery mw-gallery-traditional">
<li class=gallerybox style=width:215px>
<div class=thumb style=width:210px;height:210px><span typeof=mw:File><a href=https://en.wikipedia.org/wiki/File:BERT_on_sentiment_classification.svg class=mw-file-description title="Sentiment classification"><img alt="Sentiment classification" src="data:image/png;base64,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" decoding=async width=180 height=130 class=mw-file-element srcset data-file-width=267 data-file-height=193 sizes></a></span></div>
<div class=gallerytext>Sentiment classification</div>
</li>
<li class=gallerybox style=width:215px>
<div class=thumb style=width:210px;height:210px><span typeof=mw:File><a href=https://en.wikipedia.org/wiki/File:BERT_on_sentence_classification.svg class=mw-file-description title="Sentence classification"><img alt="Sentence classification" src="data:image/png;base64,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" decoding=async width=180 height=100 class=mw-file-element srcset data-file-width=481 data-file-height=267 sizes></a></span></div>
<div class=gallerytext>Sentence classification</div>
</li>
<li class=gallerybox style=width:215px>
<div class=thumb style=width:210px;height:210px><span typeof=mw:File><a href=https://en.wikipedia.org/wiki/File:BERT_on_multiple-choice_question-answering.svg class=mw-file-description title="Answering multiple-choice questions"><img alt="Answering multiple-choice questions" src=data:image/png;base64,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 decoding=async width=180 height=100 class=mw-file-element srcset data-file-width=481 data-file-height=267 sizes></a></span></div>
<div class=gallerytext>Answering multiple-choice questions</div>
</li>
<li class=gallerybox style=width:215px>
<div class=thumb style=width:210px;height:210px><span typeof=mw:File><a href=https://en.wikipedia.org/wiki/File:BERT_on_tagging.svg class=mw-file-description title="Part-of-speech tagging"><img alt="Part-of-speech tagging" src=data:image/png;base64,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 decoding=async width=180 height=97 class=mw-file-element srcset data-file-width=497 data-file-height=267 sizes></a></span></div>
<div class=gallerytext><a href=https://en.wikipedia.org/wiki/Part-of-speech_tagging title="Part-of-speech tagging">Part-of-speech tagging</a></div>
</li>
</ul></div></div></div>
<p>BERT is meant as a general pretrained model for various applications in natural language processing. That is, after pre-training, BERT can be <a href=https://en.wikipedia.org/wiki/Fine-tuning_(machine_learning) class=mw-redirect title="Fine-tuning (machine learning)">fine-tuned</a> with fewer resources on smaller datasets to optimize its performance on specific tasks such as <a href=https://en.wikipedia.org/wiki/Textual_entailment title="Textual entailment">natural language inference</a> and <a href=https://en.wikipedia.org/wiki/Document_classification title="Document classification">text classification</a>, and sequence-to-sequence-based language generation tasks such as <a href=https://en.wikipedia.org/wiki/Question_answering title="Question answering">question answering</a> and conversational response generation.<sup id=cite_ref-zhangetal2024_12-1 class=reference><a href=#cite_note-zhangetal2024-12><span class=cite-bracket>[</span>12<span class=cite-bracket>]</span></a></sup>
<p>The original BERT paper published results demonstrating that a small amount of finetuning (for BERT<sub>LARGE</sub>, 1 hour on 1 Cloud TPU) allowed it to achieved <a href=https://en.wikipedia.org/wiki/State_of_the_art title="State of the art">state-of-the-art</a> performance on a number of <a href=https://en.wikipedia.org/wiki/Natural-language_understanding class=mw-redirect title="Natural-language understanding">natural language understanding</a> tasks:<sup id=cite_ref-:0_1-3 class=reference><a href=#cite_note-:0-1><span class=cite-bracket>[</span>1<span class=cite-bracket>]</span></a></sup>
</p>
<ul><li>GLUE (<a href=https://en.wikipedia.org/wiki/General_Language_Understanding_Evaluation class=mw-redirect title="General Language Understanding Evaluation">General Language Understanding Evaluation</a>) task set (consisting of 9 tasks);</li>
<li>SQuAD (Stanford Question Answering Dataset<sup id=cite_ref-13 class=reference><a href=#cite_note-13><span class=cite-bracket>[</span>13<span class=cite-bracket>]</span></a></sup>) v1.1 and v2.0;</li>
<li>SWAG (Situations With Adversarial Generations<sup id=cite_ref-14 class=reference><a href=#cite_note-14><span class=cite-bracket>[</span>14<span class=cite-bracket>]</span></a></sup>).</ul>
<p>In the original paper, all parameters of BERT are fine-tuned, and recommended that, for downstream applications that are text classifications, the output token at the <code>[CLS]</code> input token is fed into a linear-softmax layer to produce the label outputs.<sup id=cite_ref-:0_1-4 class=reference><a href=#cite_note-:0-1><span class=cite-bracket>[</span>1<span class=cite-bracket>]</span></a></sup>
<p>The original code base defined the final linear layer as a "pooler layer", in analogy with <a href=https://en.wikipedia.org/wiki/Pooling_layer title="Pooling layer">global pooling</a> in computer vision, even though it simply discards all output tokens except the one corresponding to <code>[CLS]</code> .<sup id=cite_ref-15 class=reference><a href=#cite_note-15><span class=cite-bracket>[</span>15<span class=cite-bracket>]</span></a></sup>
</p>
<div class="mw-heading mw-heading3"><h3 id=Cost>Cost</h3><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=9" title="Edit section: Cost"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<p>BERT was trained on the <a href=https://en.wikipedia.org/wiki/BookCorpus title=BookCorpus>BookCorpus</a> (800M words) and a filtered version of English Wikipedia (2,500M words) without lists, tables, and headers.
<p>Training BERT<sub>BASE</sub> on 4 cloud <a href=https://en.wikipedia.org/wiki/Tensor_Processing_Unit title="Tensor Processing Unit">TPU</a> (16 TPU chips total) took 4 days, at an estimated cost of 500 USD.<sup id=cite_ref-:3_7-2 class=reference><a href=#cite_note-:3-7><span class=cite-bracket>[</span>7<span class=cite-bracket>]</span></a></sup> Training BERT<sub>LARGE</sub> on 16 cloud TPU (64 TPU chips total) took 4 days.<sup id=cite_ref-:0_1-5 class=reference><a href=#cite_note-:0-1><span class=cite-bracket>[</span>1<span class=cite-bracket>]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id=Interpretation>Interpretation</h2><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=10" title="Edit section: Interpretation"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<p>Language models like ELMo, GPT-2, and BERT, spawned the study of "BERTology", which attempts to interpret what is learned by these models. Their performance on these <a href=https://en.wikipedia.org/wiki/Natural-language_understanding class=mw-redirect title="Natural-language understanding">natural language understanding</a> tasks are not yet well understood.<sup id=cite_ref-:4_3-2 class=reference><a href=#cite_note-:4-3><span class=cite-bracket>[</span>3<span class=cite-bracket>]</span></a></sup><sup id=cite_ref-:1_16-0 class=reference><a href=#cite_note-:1-16><span class=cite-bracket>[</span>16<span class=cite-bracket>]</span></a></sup><sup id=cite_ref-:2_17-0 class=reference><a href=#cite_note-:2-17><span class=cite-bracket>[</span>17<span class=cite-bracket>]</span></a></sup> Several research publications in 2018 and 2019 focused on investigating the relationship behind BERT's output as a result of carefully chosen input sequences,<sup id=cite_ref-18 class=reference><a href=#cite_note-18><span class=cite-bracket>[</span>18<span class=cite-bracket>]</span></a></sup><sup id=cite_ref-19 class=reference><a href=#cite_note-19><span class=cite-bracket>[</span>19<span class=cite-bracket>]</span></a></sup> analysis of internal <a href=https://en.wikipedia.org/wiki/Vector_space_model title="Vector space model">vector representations</a> through probing classifiers,<sup id=cite_ref-20 class=reference><a href=#cite_note-20><span class=cite-bracket>[</span>20<span class=cite-bracket>]</span></a></sup><sup id=cite_ref-21 class=reference><a href=#cite_note-21><span class=cite-bracket>[</span>21<span class=cite-bracket>]</span></a></sup> and the relationships represented by <a href=https://en.wikipedia.org/wiki/Transformer_(machine_learning_model)#Architecture class=mw-redirect title="Transformer (machine learning model)">attention</a> weights.<sup id=cite_ref-:1_16-1 class=reference><a href=#cite_note-:1-16><span class=cite-bracket>[</span>16<span class=cite-bracket>]</span></a></sup><sup id=cite_ref-:2_17-1 class=reference><a href=#cite_note-:2-17><span class=cite-bracket>[</span>17<span class=cite-bracket>]</span></a></sup>
<p>The high performance of the BERT model could also be attributed to the fact that it is bidirectionally trained.<sup id=cite_ref-22 class=reference><a href=#cite_note-22><span class=cite-bracket>[</span>22<span class=cite-bracket>]</span></a></sup> This means that BERT, based on the Transformer model architecture, applies its self-attention mechanism to learn information from a text from the left and right side during training, and consequently gains a deep understanding of the context. For example, the word <i>fine</i> can have two different meanings depending on the context (<b>I feel</b> fine <b>today</b>, <b>She has</b> fine <b>blond hair</b>). BERT considers the words surrounding the target word <i>fine</i> from the left and right side.
<p>However it comes at a cost: due to <a href=https://en.wikipedia.org/wiki/Transformer_(deep_learning_architecture)#encoder-only class=mw-redirect title="Transformer (deep learning architecture)">encoder-only</a> architecture lacking a decoder, BERT can't <a href=https://en.wikipedia.org/wiki/Prompt_engineering title="Prompt engineering">be prompted</a> and can't <a href=https://en.wikipedia.org/wiki/Natural_language_generation title="Natural language generation">generate text</a>, while bidirectional models in general do not work effectively without the right side, thus being difficult to prompt. As an illustrative example, if one wishes to use BERT to continue a sentence fragment "Today, I went to", then naively one would mask out all the tokens as "Today, I went to <code>[MASK]</code> <code>[MASK]</code> <code>[MASK]</code> ... <code>[MASK]</code> ." where the number of <code>[MASK]</code> is the length of the sentence one wishes to extend to. However, this constitutes a dataset shift, as during training, BERT has never seen sentences with that many tokens masked out. Consequently, its performance degrades. More sophisticated techniques allow text generation, but at a high computational cost.<sup id=cite_ref-23 class=reference><a href=#cite_note-23><span class=cite-bracket>[</span>23<span class=cite-bracket>]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id=History>History</h2><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=11" title="Edit section: History"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<p>BERT was originally published by Google researchers Jacob Devlin, Ming-Wei Chang, Kenton Lee, and Kristina Toutanova. The design has its origins from pre-training contextual representations, including <a href=https://en.wikipedia.org/wiki/Semi-supervised_learning class=mw-redirect title="Semi-supervised learning">semi-supervised sequence learning</a>,<sup id=cite_ref-24 class=reference><a href=#cite_note-24><span class=cite-bracket>[</span>24<span class=cite-bracket>]</span></a></sup> generative pre-training, <a href=https://en.wikipedia.org/wiki/ELMo title=ELMo>ELMo</a>,<sup id=cite_ref-25 class=reference><a href=#cite_note-25><span class=cite-bracket>[</span>25<span class=cite-bracket>]</span></a></sup> and ULMFit.<sup id=cite_ref-26 class=reference><a href=#cite_note-26><span class=cite-bracket>[</span>26<span class=cite-bracket>]</span></a></sup> Unlike previous models, BERT is a deeply bidirectional, <a href=https://en.wikipedia.org/wiki/Unsupervised_learning title="Unsupervised learning">unsupervised</a> language representation, pre-trained using only a plain <a href=https://en.wikipedia.org/wiki/Text_corpus title="Text corpus">text corpus</a>. Context-free models such as <a href=https://en.wikipedia.org/wiki/Word2vec title=Word2vec>word2vec</a> or <a href=https://en.wikipedia.org/wiki/GloVe_(machine_learning) class=mw-redirect title="GloVe (machine learning)">GloVe</a> generate a single word embedding representation for each word in the vocabulary, whereas BERT takes into account the context for each occurrence of a given word. For instance, whereas the vector for "running" will have the same word2vec vector representation for both of its occurrences in the sentences "He is running a company" and "He is running a marathon", BERT will provide a contextualized embedding that will be different according to the sentence.<sup id=cite_ref-:5_4-1 class=reference><a href=#cite_note-:5-4><span class=cite-bracket>[</span>4<span class=cite-bracket>]</span></a></sup>
<p>On October 25, 2019, <a href=https://en.wikipedia.org/wiki/Google title=Google>Google</a> announced that they had started applying BERT models to <a href=https://en.wikipedia.org/wiki/English-language class=mw-redirect title=English-language>English-language</a> search queries on <a href=https://en.wikipedia.org/wiki/Google_Search title="Google Search">Google Search</a> within the US.<sup id=cite_ref-27 class=reference><a href=#cite_note-27><span class=cite-bracket>[</span>27<span class=cite-bracket>]</span></a></sup> On December 9, 2019, it was reported that BERT had been adopted by Google Search for over 70 languages.<sup id=cite_ref-28 class=reference><a href=#cite_note-28><span class=cite-bracket>[</span>28<span class=cite-bracket>]</span></a></sup><sup id=cite_ref-29 class=reference><a href=#cite_note-29><span class=cite-bracket>[</span>29<span class=cite-bracket>]</span></a></sup> In October 2020, almost every single English-based query was processed by a BERT model.<sup id=cite_ref-30 class=reference><a href=#cite_note-30><span class=cite-bracket>[</span>30<span class=cite-bracket>]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id=Variants>Variants</h2><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=12" title="Edit section: Variants"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<p>The BERT models were influential and inspired many variants.
<p><b>RoBERTa</b> (2019)<sup id=cite_ref-31 class=reference><a href=#cite_note-31><span class=cite-bracket>[</span>31<span class=cite-bracket>]</span></a></sup> was an engineering improvement. It preserves BERT's architecture (slightly larger, at 355M parameters), but improves its training, changing key hyperparameters, removing the <i>next-sentence prediction</i> task, and using much larger <a href=https://en.wikipedia.org/wiki/Stochastic_gradient_descent#Iterative_method title="Stochastic gradient descent">mini-batch</a> sizes.
<p><b>XLM-RoBERTa</b> (2019)<sup id=cite_ref-32 class=reference><a href=#cite_note-32><span class=cite-bracket>[</span>32<span class=cite-bracket>]</span></a></sup> was a multilingual RoBERTa model. It was one of the first works on multilingual language modeling at scale.
<p><b>DistilBERT</b> (2019) <a href=https://en.wikipedia.org/wiki/Knowledge_distillation title="Knowledge distillation">distills</a> BERT<sub>BASE</sub> to a model with just 60% of its parameters (66M), while preserving 95% of its benchmark scores.<sup id=cite_ref-33 class=reference><a href=#cite_note-33><span class=cite-bracket>[</span>33<span class=cite-bracket>]</span></a></sup><sup id=cite_ref-34 class=reference><a href=#cite_note-34><span class=cite-bracket>[</span>34<span class=cite-bracket>]</span></a></sup> Similarly, <b>TinyBERT</b> (2019)<sup id=cite_ref-35 class=reference><a href=#cite_note-35><span class=cite-bracket>[</span>35<span class=cite-bracket>]</span></a></sup> is a distilled model with just 28% of its parameters.
<p><b>ALBERT</b> (2019)<sup id=cite_ref-36 class=reference><a href=#cite_note-36><span class=cite-bracket>[</span>36<span class=cite-bracket>]</span></a></sup> used shared-parameter across layers, and experimented with independently varying the hidden size and the word-embedding layer's output size as two hyperparameters. They also replaced the <i>next sentence prediction</i> task with the <i>sentence-order prediction</i> (SOP) task, where the model must distinguish the correct order of two consecutive text segments from their reversed order.
<p><b>ELECTRA</b> (2020)<sup id=cite_ref-37 class=reference><a href=#cite_note-37><span class=cite-bracket>[</span>37<span class=cite-bracket>]</span></a></sup> applied the idea of <a href=https://en.wikipedia.org/wiki/Generative_adversarial_network title="Generative adversarial network">generative adversarial networks</a> to the MLM task. Instead of masking out tokens, a small language model generates random plausible substitutions, and a larger network identify these replaced tokens. The small model aims to fool the large model.
<p><b>DeBERTa</b> (2020)<sup id=cite_ref-38 class=reference><a href=#cite_note-38><span class=cite-bracket>[</span>38<span class=cite-bracket>]</span></a></sup> is a significant architectural variant, with <i>disentangled attention</i>. Its key idea is to treat the positional and token encodings separately throughout the attention mechanism. Instead of combining the positional encoding (<span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle x_{\mathrm {position} }}">
<semantics>
<mrow class=MJX-TeXAtom-ORD>
<mstyle displaystyle=true scriptlevel=0>
<msub>
<mi>x</mi>
<mrow class=MJX-TeXAtom-ORD>
<mrow class=MJX-TeXAtom-ORD>
<mi mathvariant=normal>p</mi>
<mi mathvariant=normal>o</mi>
<mi mathvariant=normal>s</mi>
<mi mathvariant=normal>i</mi>
<mi mathvariant=normal>t</mi>
<mi mathvariant=normal>i</mi>
<mi mathvariant=normal>o</mi>
<mi mathvariant=normal>n</mi>
</mrow>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding=application/x-tex>{\displaystyle x_{\mathrm {position} }}</annotation>
</semantics>
</math></span><img src=data:image/svg+xml;base64,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 class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-1.005ex;width:7.236ex;height:2.343ex alt="{\displaystyle x_{\mathrm {position} }}"></span>) and token encoding (<span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle x_{\mathrm {token} }}">
<semantics>
<mrow class=MJX-TeXAtom-ORD>
<mstyle displaystyle=true scriptlevel=0>
<msub>
<mi>x</mi>
<mrow class=MJX-TeXAtom-ORD>
<mrow class=MJX-TeXAtom-ORD>
<mi mathvariant=normal>t</mi>
<mi mathvariant=normal>o</mi>
<mi mathvariant=normal>k</mi>
<mi mathvariant=normal>e</mi>
<mi mathvariant=normal>n</mi>
</mrow>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding=application/x-tex>{\displaystyle x_{\mathrm {token} }}</annotation>
</semantics>
</math></span><img src="data:image/svg+xml;base64,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" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-0.671ex;width:5.536ex;height:2.009ex alt="{\displaystyle x_{\mathrm {token} }}"></span>) into a single input vector (<span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle x_{\mathrm {input} }=x_{\mathrm {position} }+x_{\mathrm {token} }}">
<semantics>
<mrow class=MJX-TeXAtom-ORD>
<mstyle displaystyle=true scriptlevel=0>
<msub>
<mi>x</mi>
<mrow class=MJX-TeXAtom-ORD>
<mrow class=MJX-TeXAtom-ORD>
<mi mathvariant=normal>i</mi>
<mi mathvariant=normal>n</mi>
<mi mathvariant=normal>p</mi>
<mi mathvariant=normal>u</mi>
<mi mathvariant=normal>t</mi>
</mrow>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>x</mi>
<mrow class=MJX-TeXAtom-ORD>
<mrow class=MJX-TeXAtom-ORD>
<mi mathvariant=normal>p</mi>
<mi mathvariant=normal>o</mi>
<mi mathvariant=normal>s</mi>
<mi mathvariant=normal>i</mi>
<mi mathvariant=normal>t</mi>
<mi mathvariant=normal>i</mi>
<mi mathvariant=normal>o</mi>
<mi mathvariant=normal>n</mi>
</mrow>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>x</mi>
<mrow class=MJX-TeXAtom-ORD>
<mrow class=MJX-TeXAtom-ORD>
<mi mathvariant=normal>t</mi>
<mi mathvariant=normal>o</mi>
<mi mathvariant=normal>k</mi>
<mi mathvariant=normal>e</mi>
<mi mathvariant=normal>n</mi>
</mrow>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding=application/x-tex>{\displaystyle x_{\mathrm {input} }=x_{\mathrm {position} }+x_{\mathrm {token} }}</annotation>
</semantics>
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="24.111ex" height="2.676ex" style="vertical-align: -1.005ex;" viewBox="0 -719.6 10381.3 1152.1" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle x_{\mathrm {input} }=x_{\mathrm {position} }+x_{\mathrm {token} }}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMAIN-70" d="M36 -148H50Q89 -148 97 -134V-126Q97 -119 97 -107T97 -77T98 -38T98 6T98 55T98 106Q98 140 98 177T98 243T98 296T97 335T97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 61 434T98 436Q115 437 135 438T165 441T176 442H179V416L180 390L188 397Q247 441 326 441Q407 441 464 377T522 216Q522 115 457 52T310 -11Q242 -11 190 33L182 40V-45V-101Q182 -128 184 -134T195 -145Q216 -148 244 -148H260V-194H252L228 -193Q205 -192 178 -192T140 -191Q37 -191 28 -194H20V-148H36ZM424 218Q424 292 390 347T305 402Q234 402 182 337V98Q222 26 294 26Q345 26 384 80T424 218Z"></path>
<path stroke-width="1" id="E1-MJMAIN-75" d="M383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58Z"></path>
<path stroke-width="1" id="E1-MJMAIN-74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z"></path>
<path stroke-width="1" id="E1-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6B" d="M36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36Z"></path>
<path stroke-width="1" id="E1-MJMAIN-65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(572,-150)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-69" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6E" x="278" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-70" x="835" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-75" x="1391" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-74" x="1948" y="0"></use>
</g>
 <use xlink:href="#E1-MJMAIN-3D" x="2603" y="0"></use>
<g transform="translate(3659,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(572,-150)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-70" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6F" x="556" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-73" x="1057" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-69" x="1451" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-74" x="1730" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-69" x="2119" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6F" x="2398" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6E" x="2898" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2B" x="6997" y="0"></use>
<g transform="translate(7997,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(572,-150)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-74" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6F" x="389" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6B" x="890" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-65" x="1418" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6E" x="1863" y="0"></use>
</g>
</g>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-1.005ex;width:24.111ex;height:2.676ex alt="{\displaystyle x_{\mathrm {input} }=x_{\mathrm {position} }+x_{\mathrm {token} }}"></span>), DeBERTa keeps them separate as a tuple: <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style=display:none><math xmlns=http://www.w3.org/1998/Math/MathML alttext="{\displaystyle (x_{\mathrm {position} },x_{\mathrm {token} })}">
<semantics>
<mrow class=MJX-TeXAtom-ORD>
<mstyle displaystyle=true scriptlevel=0>
<mo stretchy=false>(</mo>
<msub>
<mi>x</mi>
<mrow class=MJX-TeXAtom-ORD>
<mrow class=MJX-TeXAtom-ORD>
<mi mathvariant=normal>p</mi>
<mi mathvariant=normal>o</mi>
<mi mathvariant=normal>s</mi>
<mi mathvariant=normal>i</mi>
<mi mathvariant=normal>t</mi>
<mi mathvariant=normal>i</mi>
<mi mathvariant=normal>o</mi>
<mi mathvariant=normal>n</mi>
</mrow>
</mrow>
</msub>
<mo>,</mo>
<msub>
<mi>x</mi>
<mrow class=MJX-TeXAtom-ORD>
<mrow class=MJX-TeXAtom-ORD>
<mi mathvariant=normal>t</mi>
<mi mathvariant=normal>o</mi>
<mi mathvariant=normal>k</mi>
<mi mathvariant=normal>e</mi>
<mi mathvariant=normal>n</mi>
</mrow>
</mrow>
</msub>
<mo stretchy=false>)</mo>
</mstyle>
</mrow>
<annotation encoding=application/x-tex>{\displaystyle (x_{\mathrm {position} },x_{\mathrm {token} })}</annotation>
</semantics>
</math></span><img src="data:image/svg+xml;base64,<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="15.615ex" height="3.009ex" style="vertical-align: -1.005ex;" viewBox="0 -863.1 6723.1 1295.7" role="img" focusable="false" xmlns="http://www.w3.org/2000/svg" aria-labelledby="MathJax-SVG-1-Title">
<title id="MathJax-SVG-1-Title">{\displaystyle (x_{\mathrm {position} },x_{\mathrm {token} })}</title>
<defs aria-hidden="true">
<path stroke-width="1" id="E1-MJMAIN-28" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path>
<path stroke-width="1" id="E1-MJMATHI-78" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path>
<path stroke-width="1" id="E1-MJMAIN-70" d="M36 -148H50Q89 -148 97 -134V-126Q97 -119 97 -107T97 -77T98 -38T98 6T98 55T98 106Q98 140 98 177T98 243T98 296T97 335T97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 61 434T98 436Q115 437 135 438T165 441T176 442H179V416L180 390L188 397Q247 441 326 441Q407 441 464 377T522 216Q522 115 457 52T310 -11Q242 -11 190 33L182 40V-45V-101Q182 -128 184 -134T195 -145Q216 -148 244 -148H260V-194H252L228 -193Q205 -192 178 -192T140 -191Q37 -191 28 -194H20V-148H36ZM424 218Q424 292 390 347T305 402Q234 402 182 337V98Q222 26 294 26Q345 26 384 80T424 218Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6F" d="M28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30Z"></path>
<path stroke-width="1" id="E1-MJMAIN-73" d="M295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316Z"></path>
<path stroke-width="1" id="E1-MJMAIN-69" d="M69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247Z"></path>
<path stroke-width="1" id="E1-MJMAIN-74" d="M27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6E" d="M41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41Z"></path>
<path stroke-width="1" id="E1-MJMAIN-2C" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path>
<path stroke-width="1" id="E1-MJMAIN-6B" d="M36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36Z"></path>
<path stroke-width="1" id="E1-MJMAIN-65" d="M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z"></path>
<path stroke-width="1" id="E1-MJMAIN-29" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path>
</defs>
<g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)" aria-hidden="true">
 <use xlink:href="#E1-MJMAIN-28" x="0" y="0"></use>
<g transform="translate(389,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(572,-150)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-70" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6F" x="556" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-73" x="1057" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-69" x="1451" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-74" x="1730" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-69" x="2119" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6F" x="2398" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6E" x="2898" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-2C" x="3505" y="0"></use>
<g transform="translate(3950,0)">
 <use xlink:href="#E1-MJMATHI-78" x="0" y="0"></use>
<g transform="translate(572,-150)">
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-74" x="0" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6F" x="389" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6B" x="890" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-65" x="1418" y="0"></use>
 <use transform="scale(0.707)" xlink:href="#E1-MJMAIN-6E" x="1863" y="0"></use>
</g>
</g>
 <use xlink:href="#E1-MJMAIN-29" x="6333" y="0"></use>
</g>
</svg>" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden=true style=vertical-align:-1.005ex;width:15.615ex;height:3.009ex alt="{\displaystyle (x_{\mathrm {position} },x_{\mathrm {token} })}"></span>. Then, at each self-attention layer, DeBERTa computes three distinct attention matrices, rather than the single attention matrix used in BERT:<sup id=cite_ref-name_39-0 class=reference><a href=#cite_note-name-39><span class=cite-bracket>[</span>note 1<span class=cite-bracket>]</span></a></sup>
</p>
<table class=wikitable>
<caption>
</caption>
<tbody><tr>
<th>Attention type
</th>
<th>Query type
</th>
<th>Key type
</th>
<th>Example
</tr>
<tr>
<td>Content-to-content
</td>
<td>Token
</td>
<td>Token
</td>
<td>"European"; "Union", "continent"
</tr>
<tr>
<td>Content-to-position
</td>
<td>Token
</td>
<td>Position
</td>
<td>[adjective]; +1, +2, +3
</tr>
<tr>
<td>Position-to-content
</td>
<td>Position
</td>
<td>Token
</td>
<td>1; "not", "very"
</table>
<p>The three attention matrices are added together element-wise, then passed through a softmax layer and multiplied by a projection matrix.
<p>Absolute position encoding is included in the final self-attention layer as additional input.
</p>
<div class="mw-heading mw-heading2"><h2 id=Notes>Notes</h2><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=13" title="Edit section: Notes"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<div>
<div class=mw-references-wrap><ol class=references data-mw-group=note>
<li id=cite_note-name-39><span class=mw-cite-backlink><b><a href=#cite_ref-name_39-0 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text>The position-to-position type was omitted by the authors for being useless.</span>
</li>
</ol></div></div>
<div class="mw-heading mw-heading2"><h2 id=References>References</h2><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=14" title="Edit section: References"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1327269900><div>
<div class="mw-references-wrap mw-references-columns"><ol class=references>
<li id=cite_note-:0-1><span class=mw-cite-backlink>^ <a href=#cite_ref-:0_1-0><span class=cite-accessibility-label>Jump up to: </span><sup><i><b>a</b></i></sup></a> <a href=#cite_ref-:0_1-1><sup><i><b>b</b></i></sup></a> <a href=#cite_ref-:0_1-2><sup><i><b>c</b></i></sup></a> <a href=#cite_ref-:0_1-3><sup><i><b>d</b></i></sup></a> <a href=#cite_ref-:0_1-4><sup><i><b>e</b></i></sup></a> <a href=#cite_ref-:0_1-5><sup><i><b>f</b></i></sup></a></span> <span class=reference-text><style data-mw-deduplicate=TemplateStyles:r1238218222 class=sf-hidden>.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url(data:image/svg+xml;base64,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)right 0.1em center/9px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a{background-size:contain;padding:0 1em 0 0}</style><cite id=CITEREFDevlinChangLeeToutanova2018 class="citation arxiv cs1">Devlin, Jacob; Chang, Ming-Wei; Lee, Kenton; Toutanova, Kristina (October 11, 2018). "BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1810.04805v2>1810.04805v2</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.CL>cs.CL</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=BERT%3A+Pre-training+of+Deep+Bidirectional+Transformers+for+Language+Understanding&amp;rft.date=2018-10-11&amp;rft_id=info%3Aarxiv%2F1810.04805v2&amp;rft.aulast=Devlin&amp;rft.aufirst=Jacob&amp;rft.au=Chang%2C+Ming-Wei&amp;rft.au=Lee%2C+Kenton&amp;rft.au=Toutanova%2C+Kristina&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-2><span class=mw-cite-backlink><b><a href=#cite_ref-2 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite class="citation web cs1"><a rel=nofollow class="external text" href=http://ai.googleblog.com/2018/11/open-sourcing-bert-state-of-art-pre.html>"Open Sourcing BERT: State-of-the-Art Pre-training for Natural Language Processing"</a>. <i>Google AI Blog</i>. November 2, 2018<span class=reference-accessdate>. Retrieved <span class=nowrap>November 27,</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Google+AI+Blog&amp;rft.atitle=Open+Sourcing+BERT%3A+State-of-the-Art+Pre-training+for+Natural+Language+Processing&amp;rft.date=2018-11-02&amp;rft_id=http%3A%2F%2Fai.googleblog.com%2F2018%2F11%2Fopen-sourcing-bert-state-of-art-pre.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-:4-3><span class=mw-cite-backlink>^ <a href=#cite_ref-:4_3-0><span class=cite-accessibility-label>Jump up to: </span><sup><i><b>a</b></i></sup></a> <a href=#cite_ref-:4_3-1><sup><i><b>b</b></i></sup></a> <a href=#cite_ref-:4_3-2><sup><i><b>c</b></i></sup></a></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFRogersKovalevaRumshisky2020 class="citation journal cs1">Rogers, Anna; Kovaleva, Olga; Rumshisky, Anna (2020). <a rel=nofollow class="external text" href=https://aclanthology.org/2020.tacl-1.54>"A Primer in BERTology: What We Know About How BERT Works"</a>. <i>Transactions of the Association for Computational Linguistics</i>. <b>8</b>: <span class=nowrap>842</span>866. <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/2002.12327>2002.12327</a></span>. <a href=https://en.wikipedia.org/wiki/Doi_(identifier) class=mw-redirect title="Doi (identifier)">doi</a>:<a rel=nofollow class="external text" href=https://doi.org/10.1162%2Ftacl_a_00349>10.1162/tacl_a_00349</a>. <a href=https://en.wikipedia.org/wiki/S2CID_(identifier) class=mw-redirect title="S2CID (identifier)">S2CID</a>&nbsp;<a rel=nofollow class="external text" href=https://api.semanticscholar.org/CorpusID:211532403>211532403</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Transactions+of+the+Association+for+Computational+Linguistics&amp;rft.atitle=A+Primer+in+BERTology%3A+What+We+Know+About+How+BERT+Works&amp;rft.volume=8&amp;rft.pages=842-866&amp;rft.date=2020&amp;rft_id=info%3Aarxiv%2F2002.12327&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A211532403%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1162%2Ftacl_a_00349&amp;rft.aulast=Rogers&amp;rft.aufirst=Anna&amp;rft.au=Kovaleva%2C+Olga&amp;rft.au=Rumshisky%2C+Anna&amp;rft_id=https%3A%2F%2Faclanthology.org%2F2020.tacl-1.54&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-:5-4><span class=mw-cite-backlink>^ <a href=#cite_ref-:5_4-0><span class=cite-accessibility-label>Jump up to: </span><sup><i><b>a</b></i></sup></a> <a href=#cite_ref-:5_4-1><sup><i><b>b</b></i></sup></a></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFEthayarajh2019 class="citation cs2">Ethayarajh, Kawin (September 1, 2019), <i>How Contextual are Contextualized Word Representations? Comparing the Geometry of BERT, ELMo, and GPT-2 Embeddings</i>, <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1909.00512>1909.00512</a></span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=How+Contextual+are+Contextualized+Word+Representations%3F+Comparing+the+Geometry+of+BERT%2C+ELMo%2C+and+GPT-2+Embeddings&amp;rft.date=2019-09-01&amp;rft_id=info%3Aarxiv%2F1909.00512&amp;rft.aulast=Ethayarajh&amp;rft.aufirst=Kawin&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-5><span class=mw-cite-backlink><b><a href=#cite_ref-5 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFAnderson2019 class="citation web cs1">Anderson, Dawn (November 5, 2019). <a rel=nofollow class="external text" href=https://searchengineland.com/a-deep-dive-into-bert-how-bert-launched-a-rocket-into-natural-language-understanding-324522>"A deep dive into BERT: How BERT launched a rocket into natural language understanding"</a>. <i>Search Engine Land</i><span class=reference-accessdate>. Retrieved <span class=nowrap>August 6,</span> 2024</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Search+Engine+Land&amp;rft.atitle=A+deep+dive+into+BERT%3A+How+BERT+launched+a+rocket+into+natural+language+understanding&amp;rft.date=2019-11-05&amp;rft.aulast=Anderson&amp;rft.aufirst=Dawn&amp;rft_id=https%3A%2F%2Fsearchengineland.com%2Fa-deep-dive-into-bert-how-bert-launched-a-rocket-into-natural-language-understanding-324522&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-bookcorpus-6><span class=mw-cite-backlink><b><a href=#cite_ref-bookcorpus_6-0 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFZhuKirosZemelSalakhutdinov2015 class="citation arxiv cs1">Zhu, Yukun; Kiros, Ryan; Zemel, Rich; Salakhutdinov, Ruslan; Urtasun, Raquel; Torralba, Antonio; Fidler, Sanja (2015). "Aligning Books and Movies: Towards Story-Like Visual Explanations by Watching Movies and Reading Books". pp.&nbsp;<span class=nowrap>19</span>27. <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1506.06724>1506.06724</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.CV>cs.CV</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=Aligning+Books+and+Movies%3A+Towards+Story-Like+Visual+Explanations+by+Watching+Movies+and+Reading+Books&amp;rft.pages=19-27&amp;rft.date=2015&amp;rft_id=info%3Aarxiv%2F1506.06724&amp;rft.aulast=Zhu&amp;rft.aufirst=Yukun&amp;rft.au=Kiros%2C+Ryan&amp;rft.au=Zemel%2C+Rich&amp;rft.au=Salakhutdinov%2C+Ruslan&amp;rft.au=Urtasun%2C+Raquel&amp;rft.au=Torralba%2C+Antonio&amp;rft.au=Fidler%2C+Sanja&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-:3-7><span class=mw-cite-backlink>^ <a href=#cite_ref-:3_7-0><span class=cite-accessibility-label>Jump up to: </span><sup><i><b>a</b></i></sup></a> <a href=#cite_ref-:3_7-1><sup><i><b>b</b></i></sup></a> <a href=#cite_ref-:3_7-2><sup><i><b>c</b></i></sup></a></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite class="citation web cs1"><a rel=nofollow class="external text" href=https://github.com/google-research/bert>"BERT"</a>. <i>GitHub</i><span class=reference-accessdate>. Retrieved <span class=nowrap>March 28,</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=GitHub&amp;rft.atitle=BERT&amp;rft_id=https%3A%2F%2Fgithub.com%2Fgoogle-research%2Fbert&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-8><span class=mw-cite-backlink><b><a href=#cite_ref-8 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFZhangWuKatiyarWeinberger2021 class="citation cs2">Zhang, Tianyi; Wu, Felix; Katiyar, Arzoo; Weinberger, Kilian Q.; Artzi, Yoav (March 11, 2021), <i>Revisiting Few-sample BERT Fine-tuning</i>, <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/2006.05987>2006.05987</a></span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Revisiting+Few-sample+BERT+Fine-tuning&amp;rft.date=2021-03-11&amp;rft_id=info%3Aarxiv%2F2006.05987&amp;rft.aulast=Zhang&amp;rft.aufirst=Tianyi&amp;rft.au=Wu%2C+Felix&amp;rft.au=Katiyar%2C+Arzoo&amp;rft.au=Weinberger%2C+Kilian+Q.&amp;rft.au=Artzi%2C+Yoav&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-9><span class=mw-cite-backlink><b><a href=#cite_ref-9 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFTurcChangLeeToutanova2019 class="citation cs2">Turc, Iulia; Chang, Ming-Wei; Lee, Kenton; Toutanova, Kristina (September 25, 2019), <i>Well-Read Students Learn Better: On the Importance of Pre-training Compact Models</i>, <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1908.08962>1908.08962</a></span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Well-Read+Students+Learn+Better%3A+On+the+Importance+of+Pre-training+Compact+Models&amp;rft.date=2019-09-25&amp;rft_id=info%3Aarxiv%2F1908.08962&amp;rft.aulast=Turc&amp;rft.aufirst=Iulia&amp;rft.au=Chang%2C+Ming-Wei&amp;rft.au=Lee%2C+Kenton&amp;rft.au=Toutanova%2C+Kristina&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-10><span class=mw-cite-backlink><b><a href=#cite_ref-10 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite class="citation web cs1"><a rel=nofollow class="external text" href=https://huggingface.co/transformers/v3.4.0/model_summary.html>"Summary of the models — transformers 3.4.0 documentation"</a>. <i>huggingface.co</i><span class=reference-accessdate>. Retrieved <span class=nowrap>February 16,</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=huggingface.co&amp;rft.atitle=Summary+of+the+models+%E2%80%94+transformers+3.4.0+documentation&amp;rft_id=https%3A%2F%2Fhuggingface.co%2Ftransformers%2Fv3.4.0%2Fmodel_summary.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-11><span class=mw-cite-backlink><b><a href=#cite_ref-11 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFTayDehghaniTranGarcia2023 class="citation cs2">Tay, Yi; Dehghani, Mostafa; Tran, Vinh Q.; Garcia, Xavier; Wei, Jason; Wang, Xuezhi; Chung, Hyung Won; Shakeri, Siamak; Bahri, Dara (February 28, 2023), <i>UL2: Unifying Language Learning Paradigms</i>, <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/2205.05131>2205.05131</a></span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=UL2%3A+Unifying+Language+Learning+Paradigms&amp;rft.date=2023-02-28&amp;rft_id=info%3Aarxiv%2F2205.05131&amp;rft.aulast=Tay&amp;rft.aufirst=Yi&amp;rft.au=Dehghani%2C+Mostafa&amp;rft.au=Tran%2C+Vinh+Q.&amp;rft.au=Garcia%2C+Xavier&amp;rft.au=Wei%2C+Jason&amp;rft.au=Wang%2C+Xuezhi&amp;rft.au=Chung%2C+Hyung+Won&amp;rft.au=Shakeri%2C+Siamak&amp;rft.au=Bahri%2C+Dara&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-zhangetal2024-12><span class=mw-cite-backlink>^ <a href=#cite_ref-zhangetal2024_12-0><span class=cite-accessibility-label>Jump up to: </span><sup><i><b>a</b></i></sup></a> <a href=#cite_ref-zhangetal2024_12-1><sup><i><b>b</b></i></sup></a></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFZhangLiptonLiSmola2024 class="citation book cs1">Zhang, Aston; Lipton, Zachary; Li, Mu; Smola, Alexander J. (2024). <a rel=nofollow class="external text" href=https://d2l.ai/chapter_attention-mechanisms-and-transformers/large-pretraining-transformers.html>"11.9. Large-Scale Pretraining with Transformers"</a>. <i>Dive into deep learning</i>. Cambridge New York Port Melbourne New Delhi Singapore: Cambridge University Press. <a href=https://en.wikipedia.org/wiki/ISBN_(identifier) class=mw-redirect title="ISBN (identifier)">ISBN</a>&nbsp;<a href=https://en.wikipedia.org/wiki/Special:BookSources/978-1-009-38943-3 title=Special:BookSources/978-1-009-38943-3><bdi>978-1-009-38943-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=11.9.+Large-Scale+Pretraining+with+Transformers&amp;rft.btitle=Dive+into+deep+learning&amp;rft.place=Cambridge+New+York+Port+Melbourne+New+Delhi+Singapore&amp;rft.pub=Cambridge+University+Press&amp;rft.date=2024&amp;rft.isbn=978-1-009-38943-3&amp;rft.aulast=Zhang&amp;rft.aufirst=Aston&amp;rft.au=Lipton%2C+Zachary&amp;rft.au=Li%2C+Mu&amp;rft.au=Smola%2C+Alexander+J.&amp;rft_id=https%3A%2F%2Fd2l.ai%2Fchapter_attention-mechanisms-and-transformers%2Flarge-pretraining-transformers.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-13><span class=mw-cite-backlink><b><a href=#cite_ref-13 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFRajpurkarZhangLopyrevLiang2016 class="citation arxiv cs1">Rajpurkar, Pranav; Zhang, Jian; Lopyrev, Konstantin; Liang, Percy (October 10, 2016). "SQuAD: 100,000+ Questions for Machine Comprehension of Text". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1606.05250>1606.05250</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.CL>cs.CL</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=SQuAD%3A+100%2C000%2B+Questions+for+Machine+Comprehension+of+Text&amp;rft.date=2016-10-10&amp;rft_id=info%3Aarxiv%2F1606.05250&amp;rft.aulast=Rajpurkar&amp;rft.aufirst=Pranav&amp;rft.au=Zhang%2C+Jian&amp;rft.au=Lopyrev%2C+Konstantin&amp;rft.au=Liang%2C+Percy&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-14><span class=mw-cite-backlink><b><a href=#cite_ref-14 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFZellersBiskSchwartzChoi2018 class="citation arxiv cs1">Zellers, Rowan; Bisk, Yonatan; Schwartz, Roy; Choi, Yejin (August 15, 2018). "SWAG: A Large-Scale Adversarial Dataset for Grounded Commonsense Inference". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1808.05326>1808.05326</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.CL>cs.CL</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=SWAG%3A+A+Large-Scale+Adversarial+Dataset+for+Grounded+Commonsense+Inference&amp;rft.date=2018-08-15&amp;rft_id=info%3Aarxiv%2F1808.05326&amp;rft.aulast=Zellers&amp;rft.aufirst=Rowan&amp;rft.au=Bisk%2C+Yonatan&amp;rft.au=Schwartz%2C+Roy&amp;rft.au=Choi%2C+Yejin&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-15><span class=mw-cite-backlink><b><a href=#cite_ref-15 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite class="citation web cs1"><a rel=nofollow class="external text" href=https://github.com/google-research/bert/blob/master/modeling.py>"bert/modeling.py at master · google-research/bert"</a>. <i>GitHub</i><span class=reference-accessdate>. Retrieved <span class=nowrap>September 16,</span> 2024</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=GitHub&amp;rft.atitle=bert%2Fmodeling.py+at+master+%C2%B7+google-research%2Fbert&amp;rft_id=https%3A%2F%2Fgithub.com%2Fgoogle-research%2Fbert%2Fblob%2Fmaster%2Fmodeling.py&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-:1-16><span class=mw-cite-backlink>^ <a href=#cite_ref-:1_16-0><span class=cite-accessibility-label>Jump up to: </span><sup><i><b>a</b></i></sup></a> <a href=#cite_ref-:1_16-1><sup><i><b>b</b></i></sup></a></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFKovalevaRomanovRogersRumshisky2019 class="citation book cs1">Kovaleva, Olga; Romanov, Alexey; Rogers, Anna; Rumshisky, Anna (November 2019). <a rel=nofollow class="external text" href=https://www.aclweb.org/anthology/D19-1445>"Revealing the Dark Secrets of BERT"</a>. <i>Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing and the 9th International Joint Conference on Natural Language Processing (EMNLP-IJCNLP)</i>. pp.&nbsp;<span class=nowrap>4364</span>4373. <a href=https://en.wikipedia.org/wiki/Doi_(identifier) class=mw-redirect title="Doi (identifier)">doi</a>:<a rel=nofollow class="external text" href=https://doi.org/10.18653%2Fv1%2FD19-1445>10.18653/v1/D19-1445</a>. <a href=https://en.wikipedia.org/wiki/S2CID_(identifier) class=mw-redirect title="S2CID (identifier)">S2CID</a>&nbsp;<a rel=nofollow class="external text" href=https://api.semanticscholar.org/CorpusID:201645145>201645145</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Revealing+the+Dark+Secrets+of+BERT&amp;rft.btitle=Proceedings+of+the+2019+Conference+on+Empirical+Methods+in+Natural+Language+Processing+and+the+9th+International+Joint+Conference+on+Natural+Language+Processing+%28EMNLP-IJCNLP%29&amp;rft.pages=4364-4373&amp;rft.date=2019-11&amp;rft_id=info%3Adoi%2F10.18653%2Fv1%2FD19-1445&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A201645145%23id-name%3DS2CID&amp;rft.aulast=Kovaleva&amp;rft.aufirst=Olga&amp;rft.au=Romanov%2C+Alexey&amp;rft.au=Rogers%2C+Anna&amp;rft.au=Rumshisky%2C+Anna&amp;rft_id=https%3A%2F%2Fwww.aclweb.org%2Fanthology%2FD19-1445&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-:2-17><span class=mw-cite-backlink>^ <a href=#cite_ref-:2_17-0><span class=cite-accessibility-label>Jump up to: </span><sup><i><b>a</b></i></sup></a> <a href=#cite_ref-:2_17-1><sup><i><b>b</b></i></sup></a></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFClarkKhandelwalLevyManning2019 class="citation journal cs1">Clark, Kevin; Khandelwal, Urvashi; Levy, Omer; Manning, Christopher D. (2019). <a rel=nofollow class="external text" href=https://doi.org/10.18653%2Fv1%2Fw19-4828>"What Does BERT Look at? An Analysis of BERT's Attention"</a>. <i>Proceedings of the 2019 ACL Workshop BlackboxNLP: Analyzing and Interpreting Neural Networks for NLP</i>. Stroudsburg, PA, USA: Association for Computational Linguistics: <span class=nowrap>276</span>286. <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1906.04341>1906.04341</a></span>. <a href=https://en.wikipedia.org/wiki/Doi_(identifier) class=mw-redirect title="Doi (identifier)">doi</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://doi.org/10.18653%2Fv1%2Fw19-4828>10.18653/v1/w19-4828</a></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Proceedings+of+the+2019+ACL+Workshop+BlackboxNLP%3A+Analyzing+and+Interpreting+Neural+Networks+for+NLP&amp;rft.atitle=What+Does+BERT+Look+at%3F+An+Analysis+of+BERT%27s+Attention&amp;rft.pages=276-286&amp;rft.date=2019&amp;rft_id=info%3Aarxiv%2F1906.04341&amp;rft_id=info%3Adoi%2F10.18653%2Fv1%2Fw19-4828&amp;rft.aulast=Clark&amp;rft.aufirst=Kevin&amp;rft.au=Khandelwal%2C+Urvashi&amp;rft.au=Levy%2C+Omer&amp;rft.au=Manning%2C+Christopher+D.&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.18653%252Fv1%252Fw19-4828&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-18><span class=mw-cite-backlink><b><a href=#cite_ref-18 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFKhandelwalHeQiJurafsky2018 class="citation journal cs1">Khandelwal, Urvashi; He, He; Qi, Peng; Jurafsky, Dan (2018). "Sharp Nearby, Fuzzy Far Away: How Neural Language Models Use Context". <i>Proceedings of the 56th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)</i>. Stroudsburg, PA, USA: Association for Computational Linguistics: <span class=nowrap>284</span>294. <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1805.04623>1805.04623</a></span>. <a href=https://en.wikipedia.org/wiki/Doi_(identifier) class=mw-redirect title="Doi (identifier)">doi</a>:<a rel=nofollow class="external text" href=https://doi.org/10.18653%2Fv1%2Fp18-1027>10.18653/v1/p18-1027</a>. <a href=https://en.wikipedia.org/wiki/S2CID_(identifier) class=mw-redirect title="S2CID (identifier)">S2CID</a>&nbsp;<a rel=nofollow class="external text" href=https://api.semanticscholar.org/CorpusID:21700944>21700944</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Proceedings+of+the+56th+Annual+Meeting+of+the+Association+for+Computational+Linguistics+%28Volume+1%3A+Long+Papers%29&amp;rft.atitle=Sharp+Nearby%2C+Fuzzy+Far+Away%3A+How+Neural+Language+Models+Use+Context&amp;rft.pages=284-294&amp;rft.date=2018&amp;rft_id=info%3Aarxiv%2F1805.04623&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A21700944%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.18653%2Fv1%2Fp18-1027&amp;rft.aulast=Khandelwal&amp;rft.aufirst=Urvashi&amp;rft.au=He%2C+He&amp;rft.au=Qi%2C+Peng&amp;rft.au=Jurafsky%2C+Dan&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-19><span class=mw-cite-backlink><b><a href=#cite_ref-19 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFGulordavaBojanowskiGraveLinzen2018 class="citation book cs1">Gulordava, Kristina; Bojanowski, Piotr; Grave, Edouard; Linzen, Tal; Baroni, Marco (2018). "Colorless Green Recurrent Networks Dream Hierarchically". <i>Proceedings of the 2018 Conference of the North American Chapter of the Association for Computational Linguistics: Human Language Technologies, Volume 1 (Long Papers)</i>. Stroudsburg, PA, USA: Association for Computational Linguistics. pp.&nbsp;<span class=nowrap>1195</span>1205. <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1803.11138>1803.11138</a></span>. <a href=https://en.wikipedia.org/wiki/Doi_(identifier) class=mw-redirect title="Doi (identifier)">doi</a>:<a rel=nofollow class="external text" href=https://doi.org/10.18653%2Fv1%2Fn18-1108>10.18653/v1/n18-1108</a>. <a href=https://en.wikipedia.org/wiki/S2CID_(identifier) class=mw-redirect title="S2CID (identifier)">S2CID</a>&nbsp;<a rel=nofollow class="external text" href=https://api.semanticscholar.org/CorpusID:4460159>4460159</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Colorless+Green+Recurrent+Networks+Dream+Hierarchically&amp;rft.btitle=Proceedings+of+the+2018+Conference+of+the+North+American+Chapter+of+the+Association+for+Computational+Linguistics%3A+Human+Language+Technologies%2C+Volume+1+%28Long+Papers%29&amp;rft.place=Stroudsburg%2C+PA%2C+USA&amp;rft.pages=1195-1205&amp;rft.pub=Association+for+Computational+Linguistics&amp;rft.date=2018&amp;rft_id=info%3Aarxiv%2F1803.11138&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A4460159%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.18653%2Fv1%2Fn18-1108&amp;rft.aulast=Gulordava&amp;rft.aufirst=Kristina&amp;rft.au=Bojanowski%2C+Piotr&amp;rft.au=Grave%2C+Edouard&amp;rft.au=Linzen%2C+Tal&amp;rft.au=Baroni%2C+Marco&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-20><span class=mw-cite-backlink><b><a href=#cite_ref-20 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFGiulianelliHardingMohnertHupkes2018 class="citation journal cs1">Giulianelli, Mario; Harding, Jack; Mohnert, Florian; Hupkes, Dieuwke; Zuidema, Willem (2018). "Under the Hood: Using Diagnostic Classifiers to Investigate and Improve how Language Models Track Agreement Information". <i>Proceedings of the 2018 EMNLP Workshop BlackboxNLP: Analyzing and Interpreting Neural Networks for NLP</i>. Stroudsburg, PA, USA: Association for Computational Linguistics: <span class=nowrap>240</span>248. <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1808.08079>1808.08079</a></span>. <a href=https://en.wikipedia.org/wiki/Doi_(identifier) class=mw-redirect title="Doi (identifier)">doi</a>:<a rel=nofollow class="external text" href=https://doi.org/10.18653%2Fv1%2Fw18-5426>10.18653/v1/w18-5426</a>. <a href=https://en.wikipedia.org/wiki/S2CID_(identifier) class=mw-redirect title="S2CID (identifier)">S2CID</a>&nbsp;<a rel=nofollow class="external text" href=https://api.semanticscholar.org/CorpusID:52090220>52090220</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Proceedings+of+the+2018+EMNLP+Workshop+BlackboxNLP%3A+Analyzing+and+Interpreting+Neural+Networks+for+NLP&amp;rft.atitle=Under+the+Hood%3A+Using+Diagnostic+Classifiers+to+Investigate+and+Improve+how+Language+Models+Track+Agreement+Information&amp;rft.pages=240-248&amp;rft.date=2018&amp;rft_id=info%3Aarxiv%2F1808.08079&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A52090220%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.18653%2Fv1%2Fw18-5426&amp;rft.aulast=Giulianelli&amp;rft.aufirst=Mario&amp;rft.au=Harding%2C+Jack&amp;rft.au=Mohnert%2C+Florian&amp;rft.au=Hupkes%2C+Dieuwke&amp;rft.au=Zuidema%2C+Willem&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-21><span class=mw-cite-backlink><b><a href=#cite_ref-21 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFZhangBowman2018 class="citation journal cs1">Zhang, Kelly; Bowman, Samuel (2018). <a rel=nofollow class="external text" href=https://doi.org/10.18653%2Fv1%2Fw18-5448>"Language Modeling Teaches You More than Translation Does: Lessons Learned Through Auxiliary Syntactic Task Analysis"</a>. <i>Proceedings of the 2018 EMNLP Workshop BlackboxNLP: Analyzing and Interpreting Neural Networks for NLP</i>. Stroudsburg, PA, USA: Association for Computational Linguistics: <span class=nowrap>359</span>361. <a href=https://en.wikipedia.org/wiki/Doi_(identifier) class=mw-redirect title="Doi (identifier)">doi</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://doi.org/10.18653%2Fv1%2Fw18-5448>10.18653/v1/w18-5448</a></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Proceedings+of+the+2018+EMNLP+Workshop+BlackboxNLP%3A+Analyzing+and+Interpreting+Neural+Networks+for+NLP&amp;rft.atitle=Language+Modeling+Teaches+You+More+than+Translation+Does%3A+Lessons+Learned+Through+Auxiliary+Syntactic+Task+Analysis&amp;rft.pages=359-361&amp;rft.date=2018&amp;rft_id=info%3Adoi%2F10.18653%2Fv1%2Fw18-5448&amp;rft.aulast=Zhang&amp;rft.aufirst=Kelly&amp;rft.au=Bowman%2C+Samuel&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.18653%252Fv1%252Fw18-5448&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-22><span class=mw-cite-backlink><b><a href=#cite_ref-22 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFSur2020 class="citation journal cs1">Sur, Chiranjib (January 2020). <a rel=nofollow class="external text" href=https://doi.org/10.1007%2Fs42452-019-1765-9>"RBN: enhancement in language attribute prediction using global representation of natural language transfer learning technology like Google BERT"</a>. <i>SN Applied Sciences</i>. <b>2</b> (1) 22. <a href=https://en.wikipedia.org/wiki/Doi_(identifier) class=mw-redirect title="Doi (identifier)">doi</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://doi.org/10.1007%2Fs42452-019-1765-9>10.1007/s42452-019-1765-9</a></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=SN+Applied+Sciences&amp;rft.atitle=RBN%3A+enhancement+in+language+attribute+prediction+using+global+representation+of+natural+language+transfer+learning+technology+like+Google+BERT&amp;rft.volume=2&amp;rft.issue=1&amp;rft.artnum=22&amp;rft.date=2020-01&amp;rft_id=info%3Adoi%2F10.1007%2Fs42452-019-1765-9&amp;rft.aulast=Sur&amp;rft.aufirst=Chiranjib&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.1007%252Fs42452-019-1765-9&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-23><span class=mw-cite-backlink><b><a href=#cite_ref-23 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFPatelLiMohammad_Sadegh_RasooliConstant2022 class="citation arxiv cs1">Patel, Ajay; Li, Bryan; Mohammad Sadegh Rasooli; Constant, Noah; Raffel, Colin; Callison-Burch, Chris (2022). "Bidirectional Language Models Are Also Few-shot Learners". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/2209.14500>2209.14500</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.LG>cs.LG</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=Bidirectional+Language+Models+Are+Also+Few-shot+Learners&amp;rft.date=2022&amp;rft_id=info%3Aarxiv%2F2209.14500&amp;rft.aulast=Patel&amp;rft.aufirst=Ajay&amp;rft.au=Li%2C+Bryan&amp;rft.au=Mohammad+Sadegh+Rasooli&amp;rft.au=Constant%2C+Noah&amp;rft.au=Raffel%2C+Colin&amp;rft.au=Callison-Burch%2C+Chris&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-24><span class=mw-cite-backlink><b><a href=#cite_ref-24 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFDaiLe2015 class="citation arxiv cs1">Dai, Andrew; Le, Quoc (November 4, 2015). "Semi-supervised Sequence Learning". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1511.01432>1511.01432</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.LG>cs.LG</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=Semi-supervised+Sequence+Learning&amp;rft.date=2015-11-04&amp;rft_id=info%3Aarxiv%2F1511.01432&amp;rft.aulast=Dai&amp;rft.aufirst=Andrew&amp;rft.au=Le%2C+Quoc&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-25><span class=mw-cite-backlink><b><a href=#cite_ref-25 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFPetersNeumannIyyerGardner2018 class="citation arxiv cs1">Peters, Matthew; Neumann, Mark; Iyyer, Mohit; Gardner, Matt; Clark, Christopher; Lee, Kenton; Luke, Zettlemoyer (February 15, 2018). "Deep contextualized word representations". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1802.05365v2>1802.05365v2</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.CL>cs.CL</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=Deep+contextualized+word+representations&amp;rft.date=2018-02-15&amp;rft_id=info%3Aarxiv%2F1802.05365v2&amp;rft.aulast=Peters&amp;rft.aufirst=Matthew&amp;rft.au=Neumann%2C+Mark&amp;rft.au=Iyyer%2C+Mohit&amp;rft.au=Gardner%2C+Matt&amp;rft.au=Clark%2C+Christopher&amp;rft.au=Lee%2C+Kenton&amp;rft.au=Luke%2C+Zettlemoyer&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-26><span class=mw-cite-backlink><b><a href=#cite_ref-26 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFHowardRuder2018 class="citation arxiv cs1">Howard, Jeremy; Ruder, Sebastian (January 18, 2018). "Universal Language Model Fine-tuning for Text Classification". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1801.06146v5>1801.06146v5</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.CL>cs.CL</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=Universal+Language+Model+Fine-tuning+for+Text+Classification&amp;rft.date=2018-01-18&amp;rft_id=info%3Aarxiv%2F1801.06146v5&amp;rft.aulast=Howard&amp;rft.aufirst=Jeremy&amp;rft.au=Ruder%2C+Sebastian&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-27><span class=mw-cite-backlink><b><a href=#cite_ref-27 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFNayak2019 class="citation web cs1">Nayak, Pandu (October 25, 2019). <a rel=nofollow class="external text" href=https://www.blog.google/products/search/search-language-understanding-bert/>"Understanding searches better than ever before"</a>. <i>Google Blog</i><span class=reference-accessdate>. Retrieved <span class=nowrap>December 10,</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Google+Blog&amp;rft.atitle=Understanding+searches+better+than+ever+before&amp;rft.date=2019-10-25&amp;rft.aulast=Nayak&amp;rft.aufirst=Pandu&amp;rft_id=https%3A%2F%2Fwww.blog.google%2Fproducts%2Fsearch%2Fsearch-language-understanding-bert%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-28><span class=mw-cite-backlink><b><a href=#cite_ref-28 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite class="citation web cs1"><a rel=nofollow class="external text" href=https://blog.google/products/search/search-language-understanding-bert/>"Understanding searches better than ever before"</a>. <i>Google</i>. October 25, 2019<span class=reference-accessdate>. Retrieved <span class=nowrap>August 6,</span> 2024</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Google&amp;rft.atitle=Understanding+searches+better+than+ever+before&amp;rft.date=2019-10-25&amp;rft_id=https%3A%2F%2Fblog.google%2Fproducts%2Fsearch%2Fsearch-language-understanding-bert%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-29><span class=mw-cite-backlink><b><a href=#cite_ref-29 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFMontti2019 class="citation web cs1">Montti, Roger (December 10, 2019). <a rel=nofollow class="external text" href=https://www.searchenginejournal.com/google-bert-rolls-out-worldwide/339359/>"Google's BERT Rolls Out Worldwide"</a>. <i>Search Engine Journal</i><span class=reference-accessdate>. Retrieved <span class=nowrap>December 10,</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Search+Engine+Journal&amp;rft.atitle=Google%27s+BERT+Rolls+Out+Worldwide&amp;rft.date=2019-12-10&amp;rft.aulast=Montti&amp;rft.aufirst=Roger&amp;rft_id=https%3A%2F%2Fwww.searchenginejournal.com%2Fgoogle-bert-rolls-out-worldwide%2F339359%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-30><span class=mw-cite-backlink><b><a href=#cite_ref-30 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite class="citation web cs1"><a rel=nofollow class="external text" href=https://searchengineland.com/google-bert-used-on-almost-every-english-query-342193>"Google: BERT now used on almost every English query"</a>. <i>Search Engine Land</i>. October 15, 2020<span class=reference-accessdate>. Retrieved <span class=nowrap>November 24,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Search+Engine+Land&amp;rft.atitle=Google%3A+BERT+now+used+on+almost+every+English+query&amp;rft.date=2020-10-15&amp;rft_id=https%3A%2F%2Fsearchengineland.com%2Fgoogle-bert-used-on-almost-every-english-query-342193&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-31><span class=mw-cite-backlink><b><a href=#cite_ref-31 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFLiuOttGoyalDu2019 class="citation arxiv cs1">Liu, Yinhan; Ott, Myle; Goyal, Naman; Du, Jingfei; Joshi, Mandar; Chen, Danqi; Levy, Omer; Lewis, Mike; Zettlemoyer, Luke; Stoyanov, Veselin (2019). "RoBERTa: A Robustly Optimized BERT Pretraining Approach". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1907.11692>1907.11692</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.CL>cs.CL</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=RoBERTa%3A+A+Robustly+Optimized+BERT+Pretraining+Approach&amp;rft.date=2019&amp;rft_id=info%3Aarxiv%2F1907.11692&amp;rft.aulast=Liu&amp;rft.aufirst=Yinhan&amp;rft.au=Ott%2C+Myle&amp;rft.au=Goyal%2C+Naman&amp;rft.au=Du%2C+Jingfei&amp;rft.au=Joshi%2C+Mandar&amp;rft.au=Chen%2C+Danqi&amp;rft.au=Levy%2C+Omer&amp;rft.au=Lewis%2C+Mike&amp;rft.au=Zettlemoyer%2C+Luke&amp;rft.au=Stoyanov%2C+Veselin&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-32><span class=mw-cite-backlink><b><a href=#cite_ref-32 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFConneauKhandelwalGoyalChaudhary2019 class="citation arxiv cs1">Conneau, Alexis; Khandelwal, Kartikay; Goyal, Naman; Chaudhary, Vishrav; Wenzek, Guillaume; Guzmán, Francisco; Grave, Edouard; Ott, Myle; Zettlemoyer, Luke; Stoyanov, Veselin (2019). "Unsupervised Cross-lingual Representation Learning at Scale". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1911.02116>1911.02116</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.CL>cs.CL</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=Unsupervised+Cross-lingual+Representation+Learning+at+Scale&amp;rft.date=2019&amp;rft_id=info%3Aarxiv%2F1911.02116&amp;rft.aulast=Conneau&amp;rft.aufirst=Alexis&amp;rft.au=Khandelwal%2C+Kartikay&amp;rft.au=Goyal%2C+Naman&amp;rft.au=Chaudhary%2C+Vishrav&amp;rft.au=Wenzek%2C+Guillaume&amp;rft.au=Guzm%C3%A1n%2C+Francisco&amp;rft.au=Grave%2C+Edouard&amp;rft.au=Ott%2C+Myle&amp;rft.au=Zettlemoyer%2C+Luke&amp;rft.au=Stoyanov%2C+Veselin&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-33><span class=mw-cite-backlink><b><a href=#cite_ref-33 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFSanhDebutChaumondWolf2020 class="citation cs2">Sanh, Victor; Debut, Lysandre; Chaumond, Julien; Wolf, Thomas (February 29, 2020), <i>DistilBERT, a distilled version of BERT: smaller, faster, cheaper and lighter</i>, <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1910.01108>1910.01108</a></span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=DistilBERT%2C+a+distilled+version+of+BERT%3A+smaller%2C+faster%2C+cheaper+and+lighter&amp;rft.date=2020-02-29&amp;rft_id=info%3Aarxiv%2F1910.01108&amp;rft.aulast=Sanh&amp;rft.aufirst=Victor&amp;rft.au=Debut%2C+Lysandre&amp;rft.au=Chaumond%2C+Julien&amp;rft.au=Wolf%2C+Thomas&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-34><span class=mw-cite-backlink><b><a href=#cite_ref-34 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite class="citation web cs1"><a rel=nofollow class="external text" href=https://huggingface.co/docs/transformers/model_doc/distilbert>"DistilBERT"</a>. <i>huggingface.co</i><span class=reference-accessdate>. Retrieved <span class=nowrap>August 5,</span> 2024</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=huggingface.co&amp;rft.atitle=DistilBERT&amp;rft_id=https%3A%2F%2Fhuggingface.co%2Fdocs%2Ftransformers%2Fmodel_doc%2Fdistilbert&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-35><span class=mw-cite-backlink><b><a href=#cite_ref-35 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFJiaoYinShangJiang2020 class="citation cs2">Jiao, Xiaoqi; Yin, Yichun; Shang, Lifeng; Jiang, Xin; Chen, Xiao; Li, Linlin; Wang, Fang; Liu, Qun (October 15, 2020), <i>TinyBERT: Distilling BERT for Natural Language Understanding</i>, <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1909.10351>1909.10351</a></span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=TinyBERT%3A+Distilling+BERT+for+Natural+Language+Understanding&amp;rft.date=2020-10-15&amp;rft_id=info%3Aarxiv%2F1909.10351&amp;rft.aulast=Jiao&amp;rft.aufirst=Xiaoqi&amp;rft.au=Yin%2C+Yichun&amp;rft.au=Shang%2C+Lifeng&amp;rft.au=Jiang%2C+Xin&amp;rft.au=Chen%2C+Xiao&amp;rft.au=Li%2C+Linlin&amp;rft.au=Wang%2C+Fang&amp;rft.au=Liu%2C+Qun&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-36><span class=mw-cite-backlink><b><a href=#cite_ref-36 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFLanChenGoodmanGimpel2020 class="citation cs2">Lan, Zhenzhong; Chen, Mingda; Goodman, Sebastian; Gimpel, Kevin; Sharma, Piyush; Soricut, Radu (February 8, 2020), <i>ALBERT: A Lite BERT for Self-supervised Learning of Language Representations</i>, <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/1909.11942>1909.11942</a></span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=ALBERT%3A+A+Lite+BERT+for+Self-supervised+Learning+of+Language+Representations&amp;rft.date=2020-02-08&amp;rft_id=info%3Aarxiv%2F1909.11942&amp;rft.aulast=Lan&amp;rft.aufirst=Zhenzhong&amp;rft.au=Chen%2C+Mingda&amp;rft.au=Goodman%2C+Sebastian&amp;rft.au=Gimpel%2C+Kevin&amp;rft.au=Sharma%2C+Piyush&amp;rft.au=Soricut%2C+Radu&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-37><span class=mw-cite-backlink><b><a href=#cite_ref-37 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFClarkLuongLeManning2020 class="citation cs2">Clark, Kevin; Luong, Minh-Thang; Le, Quoc V.; Manning, Christopher D. (March 23, 2020), <i>ELECTRA: Pre-training Text Encoders as Discriminators Rather Than Generators</i>, <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/2003.10555>2003.10555</a></span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=ELECTRA%3A+Pre-training+Text+Encoders+as+Discriminators+Rather+Than+Generators&amp;rft.date=2020-03-23&amp;rft_id=info%3Aarxiv%2F2003.10555&amp;rft.aulast=Clark&amp;rft.aufirst=Kevin&amp;rft.au=Luong%2C+Minh-Thang&amp;rft.au=Le%2C+Quoc+V.&amp;rft.au=Manning%2C+Christopher+D.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
<li id=cite_note-38><span class=mw-cite-backlink><b><a href=#cite_ref-38 aria-label="Jump up" title="Jump up">^</a></b></span> <span class=reference-text><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFHeLiuGaoChen2021 class="citation cs2">He, Pengcheng; Liu, Xiaodong; Gao, Jianfeng; Chen, Weizhu (October 6, 2021), <i>DeBERTa: Decoding-enhanced BERT with Disentangled Attention</i>, <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/2006.03654>2006.03654</a></span></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=DeBERTa%3A+Decoding-enhanced+BERT+with+Disentangled+Attention&amp;rft.date=2021-10-06&amp;rft_id=info%3Aarxiv%2F2006.03654&amp;rft.aulast=He&amp;rft.aufirst=Pengcheng&amp;rft.au=Liu%2C+Xiaodong&amp;rft.au=Gao%2C+Jianfeng&amp;rft.au=Chen%2C+Weizhu&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></span>
</li>
</ol></div></div>
<div class="mw-heading mw-heading2"><h2 id=Further_reading>Further reading</h2><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=15" title="Edit section: Further reading"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<ul><li><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1238218222><cite id=CITEREFRogersKovalevaRumshisky2020 class="citation arxiv cs1">Rogers, Anna; Kovaleva, Olga; Rumshisky, Anna (2020). "A Primer in BERTology: What we know about how BERT works". <a href=https://en.wikipedia.org/wiki/ArXiv_(identifier) class=mw-redirect title="ArXiv (identifier)">arXiv</a>:<span class=id-lock-free title="Freely accessible"><a rel=nofollow class="external text" href=https://arxiv.org/abs/2002.12327>2002.12327</a></span> [<a rel=nofollow class="external text" href=https://arxiv.org/archive/cs.CL>cs.CL</a>].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=preprint&amp;rft.jtitle=arXiv&amp;rft.atitle=A+Primer+in+BERTology%3A+What+we+know+about+how+BERT+works&amp;rft.date=2020&amp;rft_id=info%3Aarxiv%2F2002.12327&amp;rft.aulast=Rogers&amp;rft.aufirst=Anna&amp;rft.au=Kovaleva%2C+Olga&amp;rft.au=Rumshisky%2C+Anna&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABERT+%28language+model%29" class=Z3988></span></ul>
<div class="mw-heading mw-heading2"><h2 id=External_links>External links</h2><span class=mw-editsection><span class=mw-editsection-bracket>[</span><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;action=edit&amp;section=16" title="Edit section: External links"><span>edit</span></a><span class=mw-editsection-bracket>]</span></span></div>
<ul><li><a rel=nofollow class="external text" href=https://github.com/google-research/bert>Official GitHub repository</a></ul>
<div class=navbox-styles><style data-mw-deduplicate=TemplateStyles:r1331366825 class=sf-hidden>.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)" "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)" "}</style><style data-mw-deduplicate=TemplateStyles:r1314944253 class=sf-hidden>.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;margin:1em auto 0}.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd;color:inherit}.mw-parser-output .navbox-list{line-height:1.5em;border-color:#fdfdfd}.mw-parser-output .navbox-list-with-group{text-align:left;border-left-width:2px;border-left-style:solid}.mw-parser-output tr+tr>.navbox-abovebelow,.mw-parser-output tr+tr>.navbox-group,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf;color:inherit}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf;color:inherit}.mw-parser-output .navbox-subgroup .navbox-group{background-color:#e6e6ff;color:inherit}.mw-parser-output .navbox-even{background-color:#f7f7f7;color:inherit}.mw-parser-output .navbox-odd{background-color:transparent;color:inherit}.mw-parser-output .navbox .hlist td ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}</style></div><div role=navigation class=navbox aria-labelledby=Google_AI4620 style=padding:3px><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner mw-made-collapsible mw-collapsed" style=border-spacing:0;background:transparent;color:inherit><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1331366825><style data-mw-deduplicate=TemplateStyles:r1239400231 class=sf-hidden>.mw-parser-output .navbar{font-weight:normal}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;cursor:inherit}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class=nv-view><a href=https://en.wikipedia.org/wiki/Template:Google_AI title="Template:Google AI"><abbr title="View this template">v</abbr></a><li class=nv-talk><a href=https://en.wikipedia.org/wiki/Template_talk:Google_AI title="Template talk:Google AI"><abbr title="Discuss this template">t</abbr></a><li class=nv-edit><a href=https://en.wikipedia.org/wiki/Special:EditPage/Template:Google_AI title="Special:EditPage/Template:Google AI"><abbr title="Edit this template">e</abbr></a></ul></div><div id=Google_AI4620 style="font-size:114%;margin:0 4em"><a href=https://en.wikipedia.org/wiki/Google_AI title="Google AI">Google AI</a></div><tr hidden><td class=navbox-abovebelow colspan=2><div>
<ul><li><a href=https://en.wikipedia.org/wiki/Google title=Google>Google</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Brain title="Google Brain">Google Brain</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_DeepMind title="Google DeepMind">Google DeepMind</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Computer <br>programs<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>AlphaGo<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Versions<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/AlphaGo title=AlphaGo>AlphaGo</a> (2015)</li>
<li><a href=https://en.wikipedia.org/wiki/Master_(software) title="Master (software)">Master</a> (2016)</li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGo_Zero title="AlphaGo Zero">AlphaGo Zero</a> (2017)</li>
<li><a href=https://en.wikipedia.org/wiki/AlphaZero title=AlphaZero>AlphaZero</a> (2017)</li>
<li><a href=https://en.wikipedia.org/wiki/MuZero title=MuZero>MuZero</a> (2019)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Competitions<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/AlphaGo_versus_Fan_Hui title="AlphaGo versus Fan Hui">Fan Hui</a> (2015)</li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGo_versus_Lee_Sedol title="AlphaGo versus Lee Sedol">Lee Sedol</a> (2016)</li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGo_versus_Ke_Jie title="AlphaGo versus Ke Jie">Ke Jie</a> (2017)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>In popular culture<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/AlphaGo_(film) title="AlphaGo (film)">AlphaGo</a></i> (2017)</li>
<li><i><a href=https://en.wikipedia.org/wiki/The_MANIAC title="The MANIAC">The MANIAC</a></i> (2023)</ul>
</div></table><div></div><tr><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/AlphaFold title=AlphaFold>AlphaFold</a> (2018)</li>
<li><a href=https://en.wikipedia.org/wiki/AlphaStar_(software) title="AlphaStar (software)">AlphaStar</a> (2019)</li>
<li><a href=https://en.wikipedia.org/wiki/AlphaDev title=AlphaDev>AlphaDev</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGeometry title=AlphaGeometry>AlphaGeometry</a> (2024)</li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGenome title=AlphaGenome>AlphaGenome</a> (2025)</ul>
</div></table><div></div><tr hidden><th scope=row class=navbox-group style=width:1%>Machine <br>learning<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Neural networks<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Inception_(deep_learning_architecture) title="Inception (deep learning architecture)">Inception</a> (2014)</li>
<li><a href=https://en.wikipedia.org/wiki/WaveNet title=WaveNet>WaveNet</a> (2016)</li>
<li><a href=https://en.wikipedia.org/wiki/MobileNet title=MobileNet>MobileNet</a> (2017)</li>
<li><a href=https://en.wikipedia.org/wiki/Transformer_(deep_learning_architecture) class=mw-redirect title="Transformer (deep learning architecture)">Transformer</a> (2017)</li>
<li><a href=https://en.wikipedia.org/wiki/EfficientNet title=EfficientNet>EfficientNet</a> (2019)</li>
<li><a href=https://en.wikipedia.org/wiki/Gato_(DeepMind) title="Gato (DeepMind)">Gato</a> (2022)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Quantum_Artificial_Intelligence_Lab title="Quantum Artificial Intelligence Lab">Quantum Artificial Intelligence Lab</a></li>
<li><a href=https://en.wikipedia.org/wiki/TensorFlow title=TensorFlow>TensorFlow</a></li>
<li><a href=https://en.wikipedia.org/wiki/Tensor_Processing_Unit title="Tensor Processing Unit">Tensor Processing Unit</a></ul>
</div></table><div></div><tr hidden><th scope=row class=navbox-group style=width:1%>Generative <br>AI<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Chatbots<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Assistant title="Google Assistant">Assistant</a> (2016)</li>
<li><a href=https://en.wikipedia.org/wiki/Sparrow_(chatbot) title="Sparrow (chatbot)">Sparrow</a> (2022)</li>
<li><a href=https://en.wikipedia.org/wiki/Google_Gemini title="Google Gemini">Gemini</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/Nano_Banana title="Nano Banana">Nano Banana</a> (2025)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Models<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a class="mw-selflink selflink">BERT</a> (2018)</li>
<li><a href=https://en.wikipedia.org/wiki/XLNet title=XLNet>XLNet</a> (2019)</li>
<li><a href=https://en.wikipedia.org/wiki/T5_(language_model) title="T5 (language model)">T5</a> (2019)</li>
<li><a href=https://en.wikipedia.org/wiki/LaMDA title=LaMDA>LaMDA</a> (2021)</li>
<li><a href=https://en.wikipedia.org/wiki/Chinchilla_(language_model) title="Chinchilla (language model)">Chinchilla</a> (2022)</li>
<li><a href=https://en.wikipedia.org/wiki/PaLM title=PaLM>PaLM</a> (2022)</li>
<li><a href=https://en.wikipedia.org/wiki/Imagen_(text-to-image_model) title="Imagen (text-to-image model)">Imagen</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/Gemini_(language_model) title="Gemini (language model)">Gemini</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/VideoPoet title=VideoPoet>VideoPoet</a> (2024)</li>
<li><a href=https://en.wikipedia.org/wiki/Gemma_(language_model) title="Gemma (language model)">Gemma</a> (2024)</li>
<li><a href=https://en.wikipedia.org/wiki/Veo_(text-to-video_model) title="Veo (text-to-video model)">Veo</a> (2024)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/DreamBooth title=DreamBooth>DreamBooth</a> (2022)</li>
<li><a href=https://en.wikipedia.org/wiki/NotebookLM title=NotebookLM>NotebookLM</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/Google_Vids title="Google Vids">Vids</a> (2024)</li>
<li><a href=https://en.wikipedia.org/wiki/Gemini_Robotics title="Gemini Robotics">Gemini Robotics</a> (2025)</li>
<li><a href=https://en.wikipedia.org/wiki/Google_Antigravity title="Google Antigravity">Antigravity</a> (2025)</ul>
</div></table><div></div><tr hidden><th scope=row class=navbox-group style=width:1%>See also<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li>"<a href=https://en.wikipedia.org/wiki/Attention_Is_All_You_Need title="Attention Is All You Need">Attention Is All You Need</a>"</li>
<li><a href=https://en.wikipedia.org/wiki/Future_of_Go_Summit title="Future of Go Summit">Future of Go Summit</a></li>
<li><a href=https://en.wikipedia.org/wiki/Generative_pre-trained_transformer title="Generative pre-trained transformer">Generative pre-trained transformer</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Labs title="Google Labs">Google Labs</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Pixel title="Google Pixel">Google Pixel</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Workspace title="Google Workspace">Google Workspace</a></li>
<li><a href=https://en.wikipedia.org/wiki/Robot_Constitution title="Robot Constitution">Robot Constitution</a></ul>
</div><tr hidden><td class=navbox-abovebelow colspan=2><div>
<ul><li><span class=noviewer typeof=mw:File><span title=Category><img alt src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="27" height="28"><rect fill-opacity="0"/></svg>' decoding=async width=16 height=16 class=mw-file-element srcset data-file-width=180 data-file-height=185 style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-30)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important" sizes></span></span> <a href=https://en.wikipedia.org/wiki/Category:Google_DeepMind title="Category:Google DeepMind">Category</a></li>
<li><span class=noviewer typeof=mw:File><a href=https://en.wikipedia.org/wiki/File:Commons-logo.svg class=mw-file-description title="Commons page"><img alt src=data:image/png;base64,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 decoding=async width=12 height=16 class=mw-file-element srcset data-file-width=1024 data-file-height=1376 sizes></a></span> <a href=https://commons.wikimedia.org/wiki/Category:DeepMind class=extiw title=commons:Category:DeepMind>Commons</a></ul>
</div></table></div>
<div class=navbox-styles><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1331366825><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1314944253><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1331366825><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1239400231></div><div role=navigation class=navbox aria-labelledby=Google50199 style=padding:3px><table class="nowraplinks hlist mw-collapsible mw-collapsed navbox-inner mw-made-collapsible" style=border-spacing:0;background:transparent;color:inherit><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1331366825><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1239400231><div class="navbar plainlinks hlist navbar-mini"><ul><li class=nv-view><a href=https://en.wikipedia.org/wiki/Template:Google_LLC title="Template:Google LLC"><abbr title="View this template">v</abbr></a><li class=nv-talk><a href=https://en.wikipedia.org/wiki/Template_talk:Google_LLC title="Template talk:Google LLC"><abbr title="Discuss this template">t</abbr></a><li class=nv-edit><a href=https://en.wikipedia.org/wiki/Special:EditPage/Template:Google_LLC title="Special:EditPage/Template:Google LLC"><abbr title="Edit this template">e</abbr></a></ul></div><div id=Google50199 style="font-size:114%;margin:0 4em"><a href=https://en.wikipedia.org/wiki/Google title=Google>Google</a></div><tr hidden><td class=navbox-abovebelow colspan=2><div>a subsidiary of <a href=https://en.wikipedia.org/wiki/Alphabet_Inc. title="Alphabet Inc.">Alphabet</a></div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup mw-made-collapsible" style=border-spacing:0><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><div id=Company10397 style="font-size:114%;margin:0 4em">Company</div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Divisions<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_AI title="Google AI">AI</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Area_120 title="Area 120">Area 120</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_ATAP title="Google ATAP">ATAP</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Brain title="Google Brain">Brain</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_China title="Google China">China</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Cloud_Platform title="Google Cloud Platform">Cloud Platform</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Energy title="Google Energy">Energy</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google.org title=Google.org>Google.org</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Crisis_Response title="Google Crisis Response">Crisis Response</a></ul></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Health title="Google Health">Health</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Registry title="Google Registry">Registry</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Subsidiaries<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Active<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_DeepMind title="Google DeepMind">DeepMind</a></li>
<li><a href=https://en.wikipedia.org/wiki/Fitbit title=Fitbit>Fitbit</a></li>
<li><a href=https://en.wikipedia.org/wiki/ITA_Software title="ITA Software">ITA Software</a></li>
<li><a href=https://en.wikipedia.org/wiki/Jigsaw_(company) title="Jigsaw (company)">Jigsaw</a></li>
<li><a href=https://en.wikipedia.org/wiki/Looker_(company) title="Looker (company)">Looker</a></li>
<li><a href=https://en.wikipedia.org/wiki/Mandiant title=Mandiant>Mandiant</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Security_Operations title="Google Security Operations">Security Operations</a></li>
<li><a href=https://en.wikipedia.org/wiki/Owlchemy_Labs class=mw-redirect title="Owlchemy Labs">Owlchemy Labs</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Defunct<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Actifio title=Actifio>Actifio</a></li>
<li><a href=https://en.wikipedia.org/wiki/Adscape title=Adscape>Adscape</a></li>
<li><a href=https://en.wikipedia.org/wiki/Akwan_Information_Technologies title="Akwan Information Technologies">Akwan Information Technologies</a></li>
<li><a href=https://en.wikipedia.org/wiki/Anvato title=Anvato>Anvato</a></li>
<li><a href=https://en.wikipedia.org/wiki/Apigee title=Apigee>Apigee</a></li>
<li><a href=https://en.wikipedia.org/wiki/BandPage title=BandPage>BandPage</a></li>
<li><a href=https://en.wikipedia.org/wiki/Bitium title=Bitium>Bitium</a></li>
<li><a href=https://en.wikipedia.org/wiki/BufferBox title=BufferBox>BufferBox</a></li>
<li><a href=https://en.wikipedia.org/wiki/Crashlytics title=Crashlytics>Crashlytics</a></li>
<li><a href=https://en.wikipedia.org/wiki/Dodgeball_(service) title="Dodgeball (service)">Dodgeball</a></li>
<li><a href=https://en.wikipedia.org/wiki/DoubleClick title=DoubleClick>DoubleClick</a></li>
<li><a href=https://en.wikipedia.org/wiki/Dropcam title=Dropcam>Dropcam</a></li>
<li><a href=https://en.wikipedia.org/wiki/Endoxon title=Endoxon>Endoxon</a></li>
<li><a href=https://en.wikipedia.org/wiki/Flutter_(American_company) title="Flutter (American company)">Flutter</a></li>
<li><a href=https://en.wikipedia.org/wiki/Global_IP_Solutions title="Global IP Solutions">Global IP Solutions</a></li>
<li><a href=https://en.wikipedia.org/wiki/Green_Throttle_Games class=mw-redirect title="Green Throttle Games">Green Throttle Games</a></li>
<li><a href=https://en.wikipedia.org/wiki/GreenBorder title=GreenBorder>GreenBorder</a></li>
<li><a href=https://en.wikipedia.org/wiki/Gridcentric title=Gridcentric>Gridcentric</a></li>
<li><a href=https://en.wikipedia.org/wiki/ImageAmerica title=ImageAmerica>ImageAmerica</a></li>
<li><a href=https://en.wikipedia.org/wiki/Impermium title=Impermium>Impermium</a></li>
<li><a href=https://en.wikipedia.org/wiki/Invite_Media title="Invite Media">Invite Media</a></li>
<li><a href=https://en.wikipedia.org/wiki/Kaltix title=Kaltix>Kaltix</a></li>
<li><a href=https://en.wikipedia.org/wiki/Marratech title=Marratech>Marratech</a></li>
<li><a href=https://en.wikipedia.org/wiki/Meebo title=Meebo>Meebo</a></li>
<li><a href=https://en.wikipedia.org/wiki/Metaweb title=Metaweb>Metaweb</a></li>
<li><a href=https://en.wikipedia.org/wiki/Neotonic_Software title="Neotonic Software">Neotonic Software</a></li>
<li><a href=https://en.wikipedia.org/wiki/Neverware title=Neverware>Neverware</a></li>
<li><a href=https://en.wikipedia.org/wiki/Nik_Software title="Nik Software">Nik Software</a></li>
<li><a href=https://en.wikipedia.org/wiki/Orbitera title=Orbitera>Orbitera</a></li>
<li><a href=https://en.wikipedia.org/wiki/Pyra_Labs title="Pyra Labs">Pyra Labs</a></li>
<li><a href=https://en.wikipedia.org/wiki/Quest_Visual title="Quest Visual">Quest Visual</a></li>
<li><a href=https://en.wikipedia.org/wiki/Reqwireless title=Reqwireless>Reqwireless</a></li>
<li><a href=https://en.wikipedia.org/wiki/RightsFlow title=RightsFlow>RightsFlow</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sidewalk_Labs title="Sidewalk Labs">Sidewalk Labs</a></li>
<li><a href=https://en.wikipedia.org/wiki/SlickLogin title=SlickLogin>SlickLogin</a></li>
<li><a href=https://en.wikipedia.org/wiki/Titan_Aerospace title="Titan Aerospace">Titan Aerospace</a></li>
<li><a href=https://en.wikipedia.org/wiki/Typhoon_Studios title="Typhoon Studios">Typhoon Studios</a></li>
<li><a href=https://en.wikipedia.org/wiki/Urban_Engines title="Urban Engines">Urban Engines</a></li>
<li><a href=https://en.wikipedia.org/wiki/Vicarious_(company) title="Vicarious (company)">Vicarious</a></li>
<li><a href=https://en.wikipedia.org/wiki/Viewdle title=Viewdle>Viewdle</a></li>
<li><a href=https://en.wikipedia.org/wiki/Wavii title=Wavii>Wavii</a></li>
<li><a href=https://en.wikipedia.org/wiki/Wildfire_Interactive title="Wildfire Interactive">Wildfire Interactive</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Next_Lab_and_Audience_Development_Group title="YouTube Next Lab and Audience Development Group">YouTube Next Lab and Audience Development Group</a></ul>
</div></table><div></div><tr><th scope=row class=navbox-group style=width:1%>Programs<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Google_Business_Groups title="Google Business Groups">Business Groups</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/IBM/Google_Cloud_Computing_University_Initiative title="IBM/Google Cloud Computing University Initiative">Computing University Initiative</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Contact_Lens title="Google Contact Lens">Contact Lens</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Content_ID title="Content ID">Content ID</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/CrossCheck_(project) title="CrossCheck (project)">CrossCheck</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Data_Liberation_Front title="Google Data Liberation Front">Data Liberation Front</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Data_Transfer_Project title="Data Transfer Project">Data Transfer Project</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Developer_Expert title="Google Developer Expert">Developer Expert</a></li>
<li><a href=https://en.wikipedia.org/wiki/DigiKavach title=DigiKavach>DigiKavach</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/DigiPivot title=DigiPivot>DigiPivot</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Digital_Garage title="Google Digital Garage">Digital Garage</a></li>
<li><a href=https://en.wikipedia.org/wiki/Digital_News_Initiative title="Digital News Initiative">Digital News Initiative</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Digital_Unlocked title="Digital Unlocked">Digital Unlocked</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Dragonfly_(search_engine) title="Dragonfly (search engine)">Dragonfly</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Founders%27_Award title="Google Founders' Award">Founders' Award</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Free_Zone title="Google Free Zone">Free Zone</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Get_Your_Business_Online title="Google Get Your Business Online">Get Your Business Online</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_for_Education title="Google for Education">Google for Education</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_for_Startups title="Google for Startups">Google for Startups</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Living_Stories title="Living Stories">Living Stories</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Made_with_Code title="Made with Code">Made with Code</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_News_Lab title="Google News Lab">News Lab</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_PowerMeter title="Google PowerMeter">PowerMeter</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Privacy_Sandbox title="Privacy Sandbox">Privacy Sandbox</a></li>
<li><a href=https://en.wikipedia.org/wiki/Project_Nightingale title="Project Nightingale">Project Nightingale</a></li>
<li><a href=https://en.wikipedia.org/wiki/Project_Nimbus title="Project Nimbus">Project Nimbus</a></li>
<li><a href=https://en.wikipedia.org/wiki/Project_Sunroof title="Project Sunroof">Project Sunroof</a></li>
<li><a href=https://en.wikipedia.org/wiki/Project_Zero title="Project Zero">Project Zero</a></li>
<li><a href=https://en.wikipedia.org/wiki/Quantum_Artificial_Intelligence_Lab title="Quantum Artificial Intelligence Lab">Quantum Artificial Intelligence Lab</a></li>
<li><a href=https://en.wikipedia.org/wiki/RechargeIT title=RechargeIT>RechargeIT</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sensorvault title=Sensorvault>Sensorvault</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Silicon_Initiative title="Google Silicon Initiative">Silicon Initiative</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Solve_for_X title="Solve for X">Solve for X</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Street_View_Trusted title="Street View Trusted">Street View Trusted</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Student_Ambassador_Program title="Google Student Ambassador Program">Student Ambassador Program</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Vevo title=Vevo>Vevo</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_BrandConnect title="YouTube BrandConnect">YouTube BrandConnect</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Creator_Awards title="YouTube Creator Awards">YouTube Creator Awards</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Select title="YouTube Select">YouTube Select</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/YouTube_Original_Channel_Initiative title="YouTube Original Channel Initiative">YouTube Original Channel Initiative</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_Year_in_Search_top_searches title="List of Year in Search top searches">Year in Search</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/YouTube_Rewind title="YouTube Rewind">YouTube Rewind</a></i>
<ul><li><a href=https://en.wikipedia.org/wiki/YouTube_Rewind_2018:_Everyone_Controls_Rewind title="YouTube Rewind 2018: Everyone Controls Rewind">2018</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Rewind_2019:_For_the_Record title="YouTube Rewind 2019: For the Record">2019</a></ul></ul>
</div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Category:Google_events title="Category:Google events">Events</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/AlphaGo_versus_Fan_Hui title="AlphaGo versus Fan Hui">AlphaGo versus Fan Hui</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGo_versus_Lee_Sedol title="AlphaGo versus Lee Sedol">AlphaGo versus Lee Sedol</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGo_versus_Ke_Jie title="AlphaGo versus Ke Jie">AlphaGo versus Ke Jie</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Developer_Challenge title="Android Developer Challenge">Android Developer Challenge</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Developer_Day title="Android Developer Day">Android Developer Day</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Developer_Lab title="Android Developer Lab">Android Developer Lab</a></li>
<li><a href=https://en.wikipedia.org/wiki/CNN/YouTube_presidential_debates title="CNN/YouTube presidential debates">CNN/YouTube presidential debates</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Code-in title="Google Code-in">Code-in</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Code_Jam title="Google Code Jam">Code Jam</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Developer_Day title="Google Developer Day">Developer Day</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Developers_Live title="Google Developers Live">Developers Live</a></li>
<li><a href=https://en.wikipedia.org/wiki/Doodle4Google title=Doodle4Google>Doodle4Google</a></li>
<li><a href=https://en.wikipedia.org/wiki/Future_of_Go_Summit title="Future of Go Summit">Future of Go Summit</a></li>
<li><a href=https://en.wikipedia.org/wiki/G-Day title=G-Day>G-Day</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Hash_Code_(programming_competition) title="Hash Code (programming competition)">Hash Code</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_I/O title="Google I/O">I/O</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Lunar_X_Prize title="Google Lunar X Prize">Lunar X Prize</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Mapathon title="Google Mapathon">Mapathon</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Science_Fair title="Google Science Fair">Science Fair</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Summer_of_Code title="Google Summer of Code">Summer of Code</a></li>
<li><a href=https://en.wikipedia.org/wiki/World_Chess_Championship_2024 title="World Chess Championship 2024">World Chess Championship 2024</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Awards title="YouTube Awards">YouTube Awards</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Comedy_Week title="YouTube Comedy Week">YouTube Comedy Week</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Live title="YouTube Live">YouTube Live</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Music_Awards title="YouTube Music Awards">YouTube Music Awards</a>
<ul><li><a href=https://en.wikipedia.org/wiki/2013_YouTube_Music_Awards title="2013 YouTube Music Awards">2013</a></li>
<li><a href=https://en.wikipedia.org/wiki/2015_YouTube_Music_Awards title="2015 YouTube Music Awards">2015</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Space_Lab title="YouTube Space Lab">YouTube Space Lab</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Symphony_Orchestra title="YouTube Symphony Orchestra">YouTube Symphony Orchestra</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Category:Google_buildings_and_structures title="Category:Google buildings and structures">Infrastructure</a><td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/111_Eighth_Avenue title="111 Eighth Avenue">111 Eighth Avenue</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_lawn_statues title="Android lawn statues">Android lawn statues</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Androidland title=Androidland>Androidland</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_barges title="Google barges">Barges</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Binoculars_Building title="Binoculars Building">Binoculars Building</a></li>
<li><a href=https://en.wikipedia.org/wiki/Central_Saint_Giles title="Central Saint Giles">Central Saint Giles</a></li>
<li><a href=https://en.wikipedia.org/wiki/Chelsea_Market title="Chelsea Market">Chelsea Market</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Chrome_Zone title="Chrome Zone">Chrome Zone</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_data_centers title="Google data centers">Data centers</a></li>
<li><a href=https://en.wikipedia.org/wiki/GeoEye-1 title=GeoEye-1>GeoEye-1</a></li>
<li><a href=https://en.wikipedia.org/wiki/Googleplex title=Googleplex>Googleplex</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ivanpah_Solar_Power_Facility title="Ivanpah Solar Power Facility">Ivanpah Solar Power Facility</a></li>
<li><a href=https://en.wikipedia.org/wiki/James_R._Thompson_Center title="James R. Thompson Center">James R. Thompson Center</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_King%27s_Cross title="Google King's Cross">King's Cross</a></li>
<li><a href=https://en.wikipedia.org/wiki/Mayfield_Mall title="Mayfield Mall">Mayfield Mall</a></li>
<li><a href=https://en.wikipedia.org/wiki/Pier_57 title="Pier 57">Pier 57</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sidewalk_Toronto title="Sidewalk Toronto">Sidewalk Toronto</a></li>
<li><a href=https://en.wikipedia.org/wiki/St._John%27s_Terminal title="St. John's Terminal">St. John's Terminal</a></li>
<li>Submarine cables
<ul><li><a href=https://en.wikipedia.org/wiki/Dunant_(submarine_communications_cable) title="Dunant (submarine communications cable)">Dunant</a></li>
<li><a href=https://en.wikipedia.org/wiki/Grace_Hopper_(submarine_communications_cable) title="Grace Hopper (submarine communications cable)">Grace Hopper</a></li>
<li><a href=https://en.wikipedia.org/wiki/Unity_(cable_system) title="Unity (cable system)">Unity</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Google_WiFi title="Google WiFi">WiFi</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Space title="YouTube Space">YouTube Space</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Theater title="YouTube Theater">YouTube Theater</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Category:Google_employees title="Category:Google employees">People</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Current<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Krishna_Bharat title="Krishna Bharat">Krishna Bharat</a></li>
<li><a href=https://en.wikipedia.org/wiki/Vint_Cerf title="Vint Cerf">Vint Cerf</a></li>
<li><a href=https://en.wikipedia.org/wiki/Jeff_Dean title="Jeff Dean">Jeff Dean</a></li>
<li><a href=https://en.wikipedia.org/wiki/John_Doerr title="John Doerr">John Doerr</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sanjay_Ghemawat title="Sanjay Ghemawat">Sanjay Ghemawat</a></li>
<li><a href=https://en.wikipedia.org/wiki/Al_Gore title="Al Gore">Al Gore</a></li>
<li><a href=https://en.wikipedia.org/wiki/John_L._Hennessy title="John L. Hennessy">John L. Hennessy</a></li>
<li><a href=https://en.wikipedia.org/wiki/Urs_H%C3%B6lzle title="Urs Hölzle">Urs Hölzle</a></li>
<li><a href=https://en.wikipedia.org/wiki/Salar_Kamangar title="Salar Kamangar">Salar Kamangar</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ray_Kurzweil title="Ray Kurzweil">Ray Kurzweil</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ann_Mather title="Ann Mather">Ann Mather</a></li>
<li><a href=https://en.wikipedia.org/wiki/Alan_Mulally title="Alan Mulally">Alan Mulally</a></li>
<li><a href=https://en.wikipedia.org/wiki/Rick_Osterloh title="Rick Osterloh">Rick Osterloh</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sundar_Pichai title="Sundar Pichai">Sundar Pichai</a> (CEO)</li>
<li><a href=https://en.wikipedia.org/wiki/Ruth_Porat title="Ruth Porat">Ruth Porat</a> (CFO)</li>
<li><a href=https://en.wikipedia.org/wiki/Rajen_Sheth title="Rajen Sheth">Rajen Sheth</a></li>
<li><a href=https://en.wikipedia.org/wiki/Hal_Varian title="Hal Varian">Hal Varian</a></li>
<li><a href=https://en.wikipedia.org/wiki/Neal_Mohan title="Neal Mohan">Neal Mohan</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Former<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Andy_Bechtolsheim title="Andy Bechtolsheim">Andy Bechtolsheim</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sergey_Brin title="Sergey Brin">Sergey Brin</a> (co-founder)</li>
<li><a href=https://en.wikipedia.org/wiki/David_Cheriton title="David Cheriton">David Cheriton</a></li>
<li><a href=https://en.wikipedia.org/wiki/Matt_Cutts title="Matt Cutts">Matt Cutts</a></li>
<li><a href=https://en.wikipedia.org/wiki/David_Drummond_(businessman) title="David Drummond (businessman)">David Drummond</a></li>
<li><a href=https://en.wikipedia.org/wiki/Alan_Eustace title="Alan Eustace">Alan Eustace</a></li>
<li><a href=https://en.wikipedia.org/wiki/Timnit_Gebru title="Timnit Gebru">Timnit Gebru</a></li>
<li><a href=https://en.wikipedia.org/wiki/Omid_Kordestani title="Omid Kordestani">Omid Kordestani</a></li>
<li><a href=https://en.wikipedia.org/wiki/Paul_Otellini title="Paul Otellini">Paul Otellini</a></li>
<li><a href=https://en.wikipedia.org/wiki/Larry_Page title="Larry Page">Larry Page</a> (co-founder)</li>
<li><a href=https://en.wikipedia.org/wiki/Patrick_Pichette title="Patrick Pichette">Patrick Pichette</a></li>
<li><a href=https://en.wikipedia.org/wiki/Eric_Schmidt title="Eric Schmidt">Eric Schmidt</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ram_Shriram title="Ram Shriram">Ram Shriram</a></li>
<li><a href=https://en.wikipedia.org/wiki/Amit_Singhal title="Amit Singhal">Amit Singhal</a></li>
<li><a href=https://en.wikipedia.org/wiki/Shirley_M._Tilghman title="Shirley M. Tilghman">Shirley M. Tilghman</a></li>
<li><a href=https://en.wikipedia.org/wiki/Rachel_Whetstone title="Rachel Whetstone">Rachel Whetstone</a></li>
<li><a href=https://en.wikipedia.org/wiki/Susan_Wojcicki title="Susan Wojcicki">Susan Wojcicki</a></ul>
</div></table><div></div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Criticism_of_Google title="Criticism of Google">Criticism</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>General<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Censorship_by_Google title="Censorship by Google">Censorship</a></li>
<li><a href=https://en.wikipedia.org/wiki/DeGoogle title=DeGoogle>DeGoogle</a></li>
<li><a href=https://en.wikipedia.org/wiki/FairSearch title=FairSearch>FairSearch</a></li>
<li>"<a href=https://en.wikipedia.org/wiki/Google%27s_Ideological_Echo_Chamber title="Google's Ideological Echo Chamber">Google's Ideological Echo Chamber</a>"</li>
<li><a href=https://en.wikipedia.org/wiki/No_Tech_for_Apartheid title="No Tech for Apartheid">No Tech for Apartheid</a></li>
<li><a href=https://en.wikipedia.org/wiki/Privacy_concerns_with_Google title="Privacy concerns with Google">Privacy concerns</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Street_View_privacy_concerns title="Google Street View privacy concerns">Street View</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_and_privacy title="YouTube and privacy">YouTube</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Google_and_trade_unions title="Google and trade unions">Trade unions</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Alphabet_Workers_Union title="Alphabet Workers Union">Alphabet Workers Union</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_copyright_issues title="YouTube copyright issues">YouTube copyright issues</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Incidents<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/2020_Korean_YouTube_backdoor_advertising_controversy title="2020 Korean YouTube backdoor advertising controversy">Backdoor advertisement controversy</a></li>
<li><a href=https://en.wikipedia.org/wiki/Blocking_of_YouTube_videos_in_Germany title="Blocking of YouTube videos in Germany">Blocking of YouTube videos in Germany</a></li>
<li><a href=https://en.wikipedia.org/wiki/2018_Google_data_breach title="2018 Google data breach">Data breach</a></li>
<li><a href=https://en.wikipedia.org/wiki/Elsagate title=Elsagate>Elsagate</a></li>
<li><a href=https://en.wikipedia.org/wiki/Fantastic_Adventures_scandal title="Fantastic Adventures scandal">Fantastic Adventures scandal</a></li>
<li><a href=https://en.wikipedia.org/wiki/2012_Kohistan_video_case class=mw-redirect title="2012 Kohistan video case">Kohistan video case</a></li>
<li><a href=https://en.wikipedia.org/wiki/Reactions_to_Innocence_of_Muslims title="Reactions to Innocence of Muslims">Reactions to <i>Innocence of Muslims</i></a></li>
<li><a href=https://en.wikipedia.org/wiki/San_Francisco_tech_bus_protests title="San Francisco tech bus protests">San Francisco tech bus protests</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_services_outages title="Google services outages">Services outages</a></li>
<li><a href=https://en.wikipedia.org/wiki/2011_Slovenian_YouTube_incident title="2011 Slovenian YouTube incident">Slovenian government incident</a></li>
<li><a href=https://en.wikipedia.org/wiki/2018_Google_walkouts title="2018 Google walkouts">Walkouts</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_headquarters_shooting title="YouTube headquarters shooting">YouTube headquarters shooting</a></ul>
</div></table><div></div><tr><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/List_of_Android_apps_by_Google title="List of Android apps by Google">Android apps</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_Google_April_Fools%27_Day_jokes title="List of Google April Fools' Day jokes">April Fools' Day jokes</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Doodle title="Google Doodle">Doodles</a>
<ul><li><i><a href=https://en.wikipedia.org/wiki/Doodle_Champion_Island_Games title="Doodle Champion Island Games">Doodle Champion Island Games</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Magic_Cat_Academy title="Magic Cat Academy">Magic Cat Academy</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Pac-Man_Google_Doodle title="Pac-Man Google Doodle">Pac-Man</a></i></ul></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_Google_Easter_eggs title="List of Google Easter eggs">Easter eggs</a></li>
<li><a href=https://en.wikipedia.org/wiki/History_of_Google title="History of Google">History</a>
<ul><li><a href=https://en.wikipedia.org/wiki/History_of_Gmail title="History of Gmail">Gmail</a></li>
<li><a href=https://en.wikipedia.org/wiki/Timeline_of_Google_Search title="Timeline of Google Search">Search</a></li>
<li><a href=https://en.wikipedia.org/wiki/History_of_YouTube title="History of YouTube">YouTube</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Google_logo title="Google logo">Logo</a></li>
<li><a href=https://en.wikipedia.org/wiki/Material_Design title="Material Design">Material Design</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_mergers_and_acquisitions_by_Alphabet title="List of mergers and acquisitions by Alphabet">Mergers and acquisitions</a></ul>
</div></table><div></div></table><div></div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup mw-made-collapsible" style=border-spacing:0><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><div id=Development9815 style="font-size:114%;margin:0 4em"><a href=https://en.wikipedia.org/wiki/Google_Developers title="Google Developers">Development</a></div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Software<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>AC<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Accelerated_Linear_Algebra title="Accelerated Linear Algebra">Accelerated Linear Algebra</a></li>
<li><a href=https://en.wikipedia.org/wiki/Accelerated_Mobile_Pages title="Accelerated Mobile Pages">AMP</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Actions_on_Google title="Actions on Google">Actions on Google</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/ALTS title=ALTS>ALTS</a></li>
<li><a href=https://en.wikipedia.org/wiki/American_Fuzzy_Lop_(software) title="American Fuzzy Lop (software)">American Fuzzy Lop</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Android_Cloud_to_Device_Messaging title="Android Cloud to Device Messaging">Android Cloud to Device Messaging</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Debug_Bridge title="Android Debug Bridge">Android Debug Bridge</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_NDK title="Android NDK">Android NDK</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Runtime title="Android Runtime">Android Runtime</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_SDK title="Android SDK">Android SDK</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Studio title="Android Studio">Android Studio</a></li>
<li><a href=https://en.wikipedia.org/wiki/Angular_(web_framework) title="Angular (web framework)">Angular</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/AngularJS title=AngularJS>AngularJS</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Apache_Beam title="Apache Beam">Apache Beam</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_APIs title="Google APIs">APIs</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_App_Engine title="Google App Engine">App Engine</a></li>
<li><a href=https://en.wikipedia.org/wiki/MIT_App_Inventor title="MIT App Inventor">App Inventor</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_App_Maker title="Google App Maker">App Maker</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_App_Runtime_for_Chrome title="Google App Runtime for Chrome">App Runtime for Chrome</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/AppJet title=AppJet>AppJet</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Apps_Script title="Google Apps Script">Apps Script</a></li>
<li><a href=https://en.wikipedia.org/wiki/AppSheet title=AppSheet>AppSheet</a></li>
<li><a href=https://en.wikipedia.org/wiki/ARCore title=ARCore>ARCore</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Base title="Google Base">Base</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Bazel_(software) title="Bazel (software)">Bazel</a></li>
<li><a href=https://en.wikipedia.org/wiki/BeyondCorp title=BeyondCorp>BeyondCorp</a></li>
<li><a href=https://en.wikipedia.org/wiki/Bigtable title=Bigtable>Bigtable</a></li>
<li><a href=https://en.wikipedia.org/wiki/BigQuery title=BigQuery>BigQuery</a></li>
<li><a href=https://en.wikipedia.org/wiki/Bionic_(software) title="Bionic (software)">Bionic</a></li>
<li><a href=https://en.wikipedia.org/wiki/Blockly title=Blockly>Blockly</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Borg_(cluster_manager) title="Borg (cluster manager)">Borg</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Caja_project title="Caja project">Caja</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Cameyo title=Cameyo>Cameyo</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Chart_API title="Google Chart API">Chart API</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Charts title="Google Charts">Charts</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Chrome_Frame title="Google Chrome Frame">Chrome Frame</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Chromium_(web_browser) title="Chromium (web browser)">Chromium</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Blink_(browser_engine) title="Blink (browser engine)">Blink</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Closure_Tools title="Google Closure Tools">Closure Tools</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Cloud_Connect title="Google Cloud Connect">Cloud Connect</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Cloud_Dataflow title="Google Cloud Dataflow">Cloud Dataflow</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Cloud_Datastore title="Google Cloud Datastore">Cloud Datastore</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Cloud_Messaging title="Google Cloud Messaging">Cloud Messaging</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Cloud_Shell title="Google Cloud Shell">Cloud Shell</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Cloud_Storage title="Google Cloud Storage">Cloud Storage</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Code_Search title="Google Code Search">Code Search</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Compute_Engine title="Google Compute Engine">Compute Engine</a></li>
<li><a href=https://en.wikipedia.org/wiki/Cpplint title=Cpplint>Cpplint</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>DN<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Dalvik_(software) title="Dalvik (software)">Dalvik</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Data_Protocol title="Google Data Protocol">Data Protocol</a></li>
<li><a href=https://en.wikipedia.org/wiki/Dialogflow title=Dialogflow>Dialogflow</a></li>
<li><a href=https://en.wikipedia.org/wiki/Exposure_Notification title="Exposure Notification">Exposure Notification</a></li>
<li><a href=https://en.wikipedia.org/wiki/Fast_Pair title="Fast Pair">Fast Pair</a></li>
<li><a href=https://en.wikipedia.org/wiki/Fastboot title=Fastboot>Fastboot</a></li>
<li><a href=https://en.wikipedia.org/wiki/Federated_Learning_of_Cohorts title="Federated Learning of Cohorts">Federated Learning of Cohorts</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_File_System title="Google File System">File System</a></li>
<li><a href=https://en.wikipedia.org/wiki/Firebase title=Firebase>Firebase</a></li>
<li><a href=https://en.wikipedia.org/wiki/Firebase_Studio title="Firebase Studio">Firebase Studio</a></li>
<li><a href=https://en.wikipedia.org/wiki/Firebase_Cloud_Messaging title="Firebase Cloud Messaging">Firebase Cloud Messaging</a></li>
<li><a href=https://en.wikipedia.org/wiki/FlatBuffers title=FlatBuffers>FlatBuffers</a></li>
<li><a href=https://en.wikipedia.org/wiki/Flutter_(software) title="Flutter (software)">Flutter</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Freebase_(database) title="Freebase (database)">Freebase</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Gadgets title="Google Gadgets">Gadgets</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ganeti title=Ganeti>Ganeti</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Gears_(software) title="Gears (software)">Gears</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Gerrit_(software) title="Gerrit (software)">Gerrit</a></li>
<li><a href=https://en.wikipedia.org/wiki/GLOP title=GLOP>GLOP</a></li>
<li><a href=https://en.wikipedia.org/wiki/GRPC title=GRPC>gRPC</a></li>
<li><a href=https://en.wikipedia.org/wiki/Gson title=Gson>Gson</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Guava title="Google Guava">Guava</a></li>
<li><a href=https://en.wikipedia.org/wiki/Guetzli title=Guetzli>Guetzli</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Guice title="Google Guice">Guice</a></li>
<li><a href=https://en.wikipedia.org/wiki/GVisor title=GVisor>gVisor</a></li>
<li><a href=https://en.wikipedia.org/wiki/GYP_(software) title="GYP (software)">GYP</a></li>
<li><a href=https://en.wikipedia.org/wiki/JAX_(software) title="JAX (software)">JAX</a></li>
<li><a href=https://en.wikipedia.org/wiki/Jetpack_Compose title="Jetpack Compose">Jetpack Compose</a></li>
<li><a href=https://en.wikipedia.org/wiki/Keyhole_Markup_Language title="Keyhole Markup Language">Keyhole Markup Language</a></li>
<li><a href=https://en.wikipedia.org/wiki/Kubernetes title=Kubernetes>Kubernetes</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Kythe title="Google Kythe">Kythe</a></li>
<li><a href=https://en.wikipedia.org/wiki/LevelDB title=LevelDB>LevelDB</a></li>
<li><a href=https://en.wikipedia.org/wiki/Lighthouse_(software) title="Lighthouse (software)">Lighthouse</a></li>
<li><a href=https://en.wikipedia.org/wiki/Looker_Studio title="Looker Studio">Looker Studio</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Lmctfy title=Lmctfy>lmctfy</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/MapReduce title=MapReduce>MapReduce</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Mashup_Editor title="Google Mashup Editor">Mashup Editor</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Matter_(standard) title="Matter (standard)">Matter</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Mobile_Services title="Google Mobile Services">Mobile Services</a></li>
<li><a href=https://en.wikipedia.org/wiki/Namebench title=Namebench>Namebench</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Native_Client title="Google Native Client">Native Client</a></li>
<li><a href=https://en.wikipedia.org/wiki/Neatx title=Neatx>Neatx</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Neural_Machine_Translation title="Google Neural Machine Translation">Neural Machine Translation</a></li>
<li><a href=https://en.wikipedia.org/wiki/Nomulus title=Nomulus>Nomulus</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>OZ<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Open_Location_Code title="Open Location Code">Open Location Code</a></li>
<li><a href=https://en.wikipedia.org/wiki/OpenRefine title=OpenRefine>OpenRefine</a></li>
<li><a href=https://en.wikipedia.org/wiki/OpenSocial title=OpenSocial>OpenSocial</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Optimize title="Google Optimize">Optimize</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/OR-Tools title=OR-Tools>OR-Tools</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Pack title="Google Pack">Pack</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_PageSpeed_Tools title="Google PageSpeed Tools">PageSpeed</a></li>
<li><a href=https://en.wikipedia.org/wiki/Piper_(source_control_system) title="Piper (source control system)">Piper</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Plugin_for_Eclipse title="Google Plugin for Eclipse">Plugin for Eclipse</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Polymer_(library) title="Polymer (library)">Polymer</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Programmable_Search_Engine title="Google Programmable Search Engine">Programmable Search Engine</a></li>
<li><a href=https://en.wikipedia.org/wiki/Project_Shield title="Project Shield">Project Shield</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Public_DNS title="Google Public DNS">Public DNS</a></li>
<li><a href=https://en.wikipedia.org/wiki/ReCAPTCHA title=ReCAPTCHA>reCAPTCHA</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/RenderScript title=RenderScript>RenderScript</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/SafetyNet class=mw-redirect title=SafetyNet>SafetyNet</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/SageTV title=SageTV>SageTV</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Schema.org title=Schema.org>Schema.org</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Search_Console title="Google Search Console">Search Console</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Shell title="Google Shell">Shell</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sitemaps title=Sitemaps>Sitemaps</a></li>
<li><a href=https://en.wikipedia.org/wiki/Skia_Graphics_Engine title="Skia Graphics Engine">Skia Graphics Engine</a></li>
<li><a href=https://en.wikipedia.org/wiki/Spanner_(database) title="Spanner (database)">Spanner</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Sputnik_(JavaScript_conformance_test) title="Sputnik (JavaScript conformance test)">Sputnik</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Stackdriver title=Stackdriver>Stackdriver</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Swiffy title="Google Swiffy">Swiffy</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Tango_(platform) title="Tango (platform)">Tango</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/TensorFlow title=TensorFlow>TensorFlow</a></li>
<li><a href=https://en.wikipedia.org/wiki/Tesseract_(software) title="Tesseract (software)">Tesseract</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Test title="Google Test">Test</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Translator_Toolkit title="Google Translator Toolkit">Translator Toolkit</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Urchin_(software) title="Urchin (software)">Urchin</a></i>
<ul><li><a href=https://en.wikipedia.org/wiki/UTM_parameters title="UTM parameters">UTM parameters</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/V8_(JavaScript_engine) title="V8 (JavaScript engine)">V8</a></li>
<li><a href=https://en.wikipedia.org/wiki/VirusTotal title=VirusTotal>VirusTotal</a></li>
<li><a href=https://en.wikipedia.org/wiki/VisBug title=VisBug>VisBug</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Wave_Federation_Protocol title="Google Wave Federation Protocol">Wave Federation Protocol</a></li>
<li><a href=https://en.wikipedia.org/wiki/Weave_(protocol) title="Weave (protocol)">Weave</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Web_Accelerator title="Google Web Accelerator">Web Accelerator</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Web_Designer title="Google Web Designer">Web Designer</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Web_Server title="Google Web Server">Web Server</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Web_Toolkit title="Google Web Toolkit">Web Toolkit</a></li>
<li><a href=https://en.wikipedia.org/wiki/Webdriver_Torso title="Webdriver Torso">Webdriver Torso</a></li>
<li><a href=https://en.wikipedia.org/wiki/WebRTC title=WebRTC>WebRTC</a></ul>
</div></table><div></div><tr><th scope=row class=navbox-group style=width:1%>Operating systems<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Android_(operating_system) title="Android (operating system)">Android</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Android_Cupcake title="Android Cupcake">Cupcake</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Donut title="Android Donut">Donut</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Eclair title="Android Eclair">Eclair</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Froyo title="Android Froyo">Froyo</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Gingerbread title="Android Gingerbread">Gingerbread</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Honeycomb title="Android Honeycomb">Honeycomb</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Ice_Cream_Sandwich title="Android Ice Cream Sandwich">Ice Cream Sandwich</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Jelly_Bean title="Android Jelly Bean">Jelly Bean</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_KitKat title="Android KitKat">KitKat</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Lollipop title="Android Lollipop">Lollipop</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Marshmallow title="Android Marshmallow">Marshmallow</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Nougat title="Android Nougat">Nougat</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Oreo title="Android Oreo">Oreo</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Pie title="Android Pie">Pie</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_10 title="Android 10">10</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_11 title="Android 11">11</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_12 title="Android 12">12</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_13 title="Android 13">13</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_14 title="Android 14">14</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_15 title="Android 15">15</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_16 title="Android 16">16</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_version_history title="Android version history">version history</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_Android_smartphones title="List of Android smartphones">smartphones</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Automotive title="Android Automotive">Android Automotive</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Go title="Android Go">Android Go</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Comparison_of_Android_Go_products title="Comparison of Android Go products">devices</a></ul></li>
<li><i><a href=https://en.wikipedia.org/wiki/Android_Things title="Android Things">Android Things</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Android_TV title="Android TV">Android TV</a>
<ul><li><a href=https://en.wikipedia.org/wiki/List_of_Android_TV_devices title="List of Android TV devices">devices</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Android_XR title="Android XR">Android XR</a></li>
<li><a href=https://en.wikipedia.org/wiki/ChromeOS title=ChromeOS>ChromeOS</a></li>
<li><a href=https://en.wikipedia.org/wiki/ChromeOS_Flex title="ChromeOS Flex">ChromeOS Flex</a></li>
<li><a href=https://en.wikipedia.org/wiki/ChromiumOS title=ChromiumOS>ChromiumOS</a></li>
<li><a href=https://en.wikipedia.org/wiki/Fuchsia_(operating_system) title="Fuchsia (operating system)">Fuchsia</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Glass_OS title="Glass OS">Glass OS</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/GLinux title=GLinux>gLinux</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Goobuntu title=Goobuntu>Goobuntu</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_TV_(operating_system) title="Google TV (operating system)">TV</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Wear_OS title="Wear OS">Wear OS</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Machine learning models<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a class="mw-selflink selflink">BERT</a></li>
<li><a href=https://en.wikipedia.org/wiki/Chinchilla_(language_model) title="Chinchilla (language model)">Chinchilla</a></li>
<li><a href=https://en.wikipedia.org/wiki/DreamBooth title=DreamBooth>DreamBooth</a></li>
<li><a href=https://en.wikipedia.org/wiki/Gemini_(language_model) title="Gemini (language model)">Gemini</a></li>
<li><a href=https://en.wikipedia.org/wiki/Gemma_(language_model) title="Gemma (language model)">Gemma</a></li>
<li><a href=https://en.wikipedia.org/wiki/Imagen_(text-to-image_model) title="Imagen (text-to-image model)">Imagen</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/LaMDA title=LaMDA>LaMDA</a></li>
<li><a href=https://en.wikipedia.org/wiki/PaLM title=PaLM>PaLM</a></li>
<li><a href=https://en.wikipedia.org/wiki/T5_(language_model) title="T5 (language model)">T5</a></li>
<li><a href=https://en.wikipedia.org/wiki/Veo_(text-to-video_model) title="Veo (text-to-video model)">Veo (text-to-video model)</a></li>
<li><a href=https://en.wikipedia.org/wiki/VideoPoet title=VideoPoet>VideoPoet</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/XLNet title=XLNet>XLNet</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Neural networks<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/EfficientNet title=EfficientNet>EfficientNet</a></li>
<li><a href=https://en.wikipedia.org/wiki/Gato_(DeepMind) title="Gato (DeepMind)">Gato</a></li>
<li><a href=https://en.wikipedia.org/wiki/Inception_(deep_learning_architecture) title="Inception (deep learning architecture)">Inception</a></li>
<li><a href=https://en.wikipedia.org/wiki/MobileNet title=MobileNet>MobileNet</a></li>
<li><a href=https://en.wikipedia.org/wiki/Transformer_(deep_learning_architecture) class=mw-redirect title="Transformer (deep learning architecture)">Transformer</a></li>
<li><a href=https://en.wikipedia.org/wiki/WaveNet title=WaveNet>WaveNet</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Computer programs<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/AlphaDev title=AlphaDev>AlphaDev</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaFold title=AlphaFold>AlphaFold</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGeometry title=AlphaGeometry>AlphaGeometry</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGo title=AlphaGo>AlphaGo</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaGo_Zero title="AlphaGo Zero">AlphaGo Zero</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaStar_(software) title="AlphaStar (software)">AlphaStar</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaZero title=AlphaZero>AlphaZero</a></li>
<li><a href=https://en.wikipedia.org/wiki/Master_(software) title="Master (software)">Master</a></li>
<li><a href=https://en.wikipedia.org/wiki/MuZero title=MuZero>MuZero</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Formats and codecs<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Android_App_Bundle title="Android App Bundle">AAB</a></li>
<li><a href=https://en.wikipedia.org/wiki/Apk_(file_format) title="Apk (file format)">APK</a></li>
<li><a href=https://en.wikipedia.org/wiki/AV1 title=AV1>AV1</a></li>
<li><a href=https://en.wikipedia.org/wiki/Internet_Low_Bitrate_Codec title="Internet Low Bitrate Codec">iLBC</a></li>
<li><a href=https://en.wikipedia.org/wiki/Internet_Speech_Audio_Codec title="Internet Speech Audio Codec">iSAC</a></li>
<li><a href=https://en.wikipedia.org/wiki/Libvpx title=Libvpx>libvpx</a></li>
<li><a href=https://en.wikipedia.org/wiki/Lyra_(codec) title="Lyra (codec)">Lyra</a></li>
<li><a href=https://en.wikipedia.org/wiki/Protocol_Buffers title="Protocol Buffers">Protocol Buffers</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ultra_HDR title="Ultra HDR">Ultra HDR</a></li>
<li><a href=https://en.wikipedia.org/wiki/VP3 title=VP3>VP3</a></li>
<li><a href=https://en.wikipedia.org/wiki/VP6 title=VP6>VP6</a></li>
<li><a href=https://en.wikipedia.org/wiki/VP8 title=VP8>VP8</a></li>
<li><a href=https://en.wikipedia.org/wiki/VP9 title=VP9>VP9</a></li>
<li><a href=https://en.wikipedia.org/wiki/WebM title=WebM>WebM</a></li>
<li><a href=https://en.wikipedia.org/wiki/WebP title=WebP>WebP</a></li>
<li><a href=https://en.wikipedia.org/wiki/Web_Open_Font_Format title="Web Open Font Format">WOFF2</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Programming languages<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Carbon_(programming_language) title="Carbon (programming language)">Carbon</a></li>
<li><a href=https://en.wikipedia.org/wiki/Dart_(programming_language) title="Dart (programming language)">Dart</a></li>
<li><a href=https://en.wikipedia.org/wiki/Go_(programming_language) title="Go (programming language)">Go</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Sawzall_(programming_language) title="Sawzall (programming language)">Sawzall</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Search algorithms<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Googlebot title=Googlebot>Googlebot</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Hummingbird title="Google Hummingbird">Hummingbird</a></li>
<li><a href=https://en.wikipedia.org/wiki/Mobilegeddon title=Mobilegeddon>Mobilegeddon</a></li>
<li><a href=https://en.wikipedia.org/wiki/PageRank title=PageRank>PageRank</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_matrix title="Google matrix">matrix</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Panda title="Google Panda">Panda</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Penguin title="Google Penguin">Penguin</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Pigeon title="Google Pigeon">Pigeon</a></li>
<li><a href=https://en.wikipedia.org/wiki/RankBrain title=RankBrain>RankBrain</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Category:Google_domain_names title="Category:Google domain names">Domain names</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/.app_(top-level_domain) title=".app (top-level domain)">.app</a></li>
<li><a href=https://en.wikipedia.org/wiki/.dev title=.dev>.dev</a></li>
<li><a href=https://en.wikipedia.org/wiki/.google title=.google>.google</a></li>
<li><a href=https://en.wikipedia.org/wiki/.zip_(top-level_domain) title=".zip (top-level domain)">.zip</a></li>
<li><a href=https://en.wikipedia.org/wiki/G.co title=G.co>g.co</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google.by title=Google.by>google.by</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Typefaces<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Croscore_fonts title="Croscore fonts">Croscore</a></li>
<li><a href=https://en.wikipedia.org/wiki/Noto_fonts title="Noto fonts">Noto</a></li>
<li><a href=https://en.wikipedia.org/wiki/Product_Sans title="Product Sans">Product Sans</a></li>
<li><a href=https://en.wikipedia.org/wiki/Roboto title=Roboto>Roboto</a></ul>
</div></table><div></div></table><div></div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup mw-made-collapsible" style=border-spacing:0><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><div id=Software13056 style="font-size:114%;margin:0 4em"><a href=https://en.wikipedia.org/wiki/List_of_Google_products title="List of Google products">Software</a></div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%;text-align:center>A<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Aardvark_(search_engine) title="Aardvark (search engine)">Aardvark</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Account title="Google Account">Account</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Dashboard title="Google Dashboard">Dashboard</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Takeout title="Google Takeout">Takeout</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Ad_Manager title="Google Ad Manager">Ad Manager</a></li>
<li><a href=https://en.wikipedia.org/wiki/AdMob title=AdMob>AdMob</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Ads title="Google Ads">Ads</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_AdSense title="Google AdSense">AdSense</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Affiliate_Network title="Google Affiliate Network">Affiliate Network</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Alerts title="Google Alerts">Alerts</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Allo title="Google Allo">Allo</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Analytics title="Google Analytics">Analytics</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Antigravity title="Google Antigravity">Antigravity</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_Auto title="Android Auto">Android Auto</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Android_Beam title="Android Beam">Android Beam</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Answers title="Google Answers">Answers</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Apture title=Apture>Apture</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Arts_%26_Culture title="Google Arts &amp; Culture">Arts &amp; Culture</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Assistant title="Google Assistant">Assistant</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Attribution title="Google Attribution">Attribution</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Authenticator title="Google Authenticator">Authenticator</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>B<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/BebaPay title=BebaPay>BebaPay</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/BeatThatQuote.com title=BeatThatQuote.com>BeatThatQuote.com</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Beam title="Google Beam">Beam</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Blog_Search title="Google Blog Search">Blog Search</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Blogger_(service) title="Blogger (service)">Blogger</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/ZygoteBody title=ZygoteBody>Body</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Bookmarks title="Google Bookmarks">Bookmarks</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Books title="Google Books">Books</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Books_Ngram_Viewer title="Google Books Ngram Viewer">Ngram Viewer</a></ul></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Browser_Sync title="Google Browser Sync">Browser Sync</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Building_Maker title="Google Building Maker">Building Maker</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Bump_(application) title="Bump (application)">Bump</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/BumpTop title=BumpTop>BumpTop</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Buzz title="Google Buzz">Buzz</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>C<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Calendar title="Google Calendar">Calendar</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Cast title="Google Cast">Cast</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Catalogs title="Google Catalogs">Catalogs</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Chat title="Google Chat">Chat</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Checkout title="Google Checkout">Checkout</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Chrome title="Google Chrome">Chrome</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Chrome_App title="Google Chrome App">Chrome Apps</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Chrome_Experiments title="Google Chrome Experiments">Chrome Experiments</a></li>
<li><a href=https://en.wikipedia.org/wiki/Chrome_Remote_Desktop title="Chrome Remote Desktop">Chrome Remote Desktop</a></li>
<li><a href=https://en.wikipedia.org/wiki/Chrome_Web_Store title="Chrome Web Store">Chrome Web Store</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Classroom title="Google Classroom">Classroom</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Cloud_Print title="Google Cloud Print">Cloud Print</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Cloud_Search title="Google Cloud Search">Cloud Search</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Contacts title="Google Contacts">Contacts</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Contributor title="Google Contributor">Contributor</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Crowdsource_(app) title="Crowdsource (app)">Crowdsource</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Currents_(social_app) title="Google Currents (social app)">Currents</a></i> (social app)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Currents_(news_app) title="Google Currents (news app)">Currents</a></i> (news app)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>D<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Data_Commons title="Data Commons">Data Commons</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Dataset_Search title="Google Dataset Search">Dataset Search</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Desktop title="Google Desktop">Desktop</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Dictionary title="Google Dictionary">Dictionary</a></li>
<li><a href=https://en.wikipedia.org/wiki/Dinosaur_Game title="Dinosaur Game">Dinosaur Game</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Directory title="Google Directory">Directory</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Docs title="Google Docs">Docs</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Docs_Editors title="Google Docs Editors">Docs Editors</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Domains title="Google Domains">Domains</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Drawings title="Google Drawings">Drawings</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Drive title="Google Drive">Drive</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Duo title="Google Duo">Duo</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>E<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Earth title="Google Earth">Earth</a></li>
<li><a href=https://en.wikipedia.org/wiki/Etherpad title=Etherpad>Etherpad</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Expeditions title="Google Expeditions">Expeditions</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Express title="Google Express">Express</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>F<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Family_Link title="Google Family Link">Family Link</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Fast_Flip title="Google Fast Flip">Fast Flip</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/FeedBurner title=FeedBurner>FeedBurner</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Fflick title=Fflick>fflick</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Fi_Wireless title="Google Fi Wireless">Fi Wireless</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Finance title="Google Finance">Finance</a></li>
<li><a href=https://en.wikipedia.org/wiki/Files_(Google) title="Files (Google)">Files</a></li>
<li><a href=https://en.wikipedia.org/wiki/Find_Hub title="Find Hub">Find Hub</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Fit title="Google Fit">Fit</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Flights title="Google Flights">Flights</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Flu_Trends title="Google Flu Trends">Flu Trends</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Fonts title="Google Fonts">Fonts</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Forms title="Google Forms">Forms</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Friend_Connect title="Google Friend Connect">Friend Connect</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Fusion_Tables title="Google Fusion Tables">Fusion Tables</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>G<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Gboard title=Gboard>Gboard</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Gemini title="Google Gemini">Gemini</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Nano_Banana title="Nano Banana">Nano Banana</a></ul></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Gesture_Search title="Google Gesture Search">Gesture Search</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Gizmo5 title=Gizmo5>Gizmo5</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google%2B title=Google+>Google+</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Gmail title=Gmail>Gmail</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Goggles title="Google Goggles">Goggles</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/GOOG-411 title=GOOG-411>GOOG-411</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Grasshopper_(mobile_app) title="Grasshopper (mobile app)">Grasshopper</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Groups title="Google Groups">Groups</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>H<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Google_Hangouts title="Google Hangouts">Hangouts</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Helpouts title="Google Helpouts">Helpouts</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Home_(platform) title="Google Home (platform)">Home</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>I<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/IGoogle title=IGoogle>iGoogle</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Images title="Google Images">Images</a>
<ul><li><i><a href=https://en.wikipedia.org/wiki/Google_Image_Labeler title="Google Image Labeler">Image Labeler</a></i></ul></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Image_Swirl title="Google Image Swirl">Image Swirl</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Inbox_by_Gmail title="Inbox by Gmail">Inbox by Gmail</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Input_Tools title="Google Input Tools">Input Tools</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Japanese_Input title="Google Japanese Input">Japanese Input</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Pinyin title="Google Pinyin">Pinyin</a></i></ul></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Insights_for_Search title="Google Insights for Search">Insights for Search</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>J<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Jaiku title=Jaiku>Jaiku</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Jamboard title=Jamboard>Jamboard</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>K<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Kaggle title=Kaggle>Kaggle</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Keep title="Google Keep">Keep</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Knol title=Knol>Knol</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>L<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Labs title="Google Labs">Labs</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Latitude title="Google Latitude">Latitude</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Lens title="Google Lens">Lens</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Like.com title=Like.com>Like.com</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Live_Transcribe title="Live Transcribe">Live Transcribe</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Lively title="Google Lively">Lively</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>M<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Google_Map_Maker title="Google Map Maker">Map Maker</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Maps title="Google Maps">Maps</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Maps_Navigation title="Google Maps Navigation">Maps Navigation</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Marketing_Platform title="Google Marketing Platform">Marketing Platform</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Meet title="Google Meet">Meet</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Messages title="Google Messages">Messages</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Moderator title="Google Moderator">Moderator</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/My_Tracks title="My Tracks">My Tracks</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>N<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Nearby_Share title="Nearby Share">Nearby Share</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_News title="Google News">News</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_News_%26_Weather title="Google News &amp; Weather">News &amp; Weather</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_News_Archive title="Google News Archive">News Archive</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Notebook title="Google Notebook">Notebook</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/NotebookLM title=NotebookLM>NotebookLM</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Now title="Google Now">Now</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>O<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Google_Offers title="Google Offers">Offers</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_One title="Google One">One</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_One_Pass title="Google One Pass">One Pass</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Opinion_Rewards title="Google Opinion Rewards">Opinion Rewards</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Orkut title=Orkut>Orkut</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Oyster_(company) title="Oyster (company)">Oyster</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>P<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Panoramio title=Panoramio>Panoramio</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/PaperofRecord.com title=PaperofRecord.com>PaperofRecord.com</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Patents title="Google Patents">Patents</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Page_Creator title="Google Page Creator">Page Creator</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Pay_(mobile_app) title="Google Pay (mobile app)">Pay</a></i> (mobile app)</li>
<li><a href=https://en.wikipedia.org/wiki/Google_Pay_(payment_method) title="Google Pay (payment method)">Pay</a> (payment method)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Pay_Send title="Google Pay Send">Pay Send</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/People_Cards title="People Cards">People Cards</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Person_Finder title="Google Person Finder">Person Finder</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Personalized_Search title="Google Personalized Search">Personalized Search</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Photomath title=Photomath>Photomath</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Photos title="Google Photos">Photos</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Picasa title=Picasa>Picasa</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Picasa_Web_Albums title="Picasa Web Albums">Picasa Web Albums</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Picnik title=Picnik>Picnik</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_Camera title="Pixel Camera">Pixel Camera</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Play title="Google Play">Play</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Play_Books title="Google Play Books">Play Books</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Play_Games title="Google Play Games">Play Games</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Play_Music title="Google Play Music">Play Music</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Play_Newsstand title="Google Play Newsstand">Play Newsstand</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Play_Pass title="Google Play Pass">Play Pass</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Play_Services title="Google Play Services">Play Services</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Podcasts title="Google Podcasts">Podcasts</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Poly_(website) title="Poly (website)">Poly</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Postini title=Postini>Postini</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/PostRank title=PostRank>PostRank</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Primer title="Google Primer">Primer</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Public_Alerts title="Google Public Alerts">Public Alerts</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Public_Data_Explorer title="Google Public Data Explorer">Public Data Explorer</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>Q<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Question_Hub title="Google Question Hub">Question Hub</a></li>
<li><a href=https://en.wikipedia.org/wiki/Quick,_Draw! title="Quick, Draw!">Quick, Draw!</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Quick_Search_Box title="Google Quick Search Box">Quick Search Box</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Quick_Share title="Quick Share">Quick Share</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Quickoffice title=Quickoffice>Quickoffice</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>R<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Read_Along title="Read Along">Read Along</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Reader title="Google Reader">Reader</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Reply_(Google) title="Reply (Google)">Reply</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>S<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Safe_Browsing title="Google Safe Browsing">Safe Browsing</a></li>
<li><a href=https://en.wikipedia.org/wiki/SageTV title=SageTV>SageTV</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Santa_Tracker title="Google Santa Tracker">Santa Tracker</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Schemer title="Google Schemer">Schemer</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Scholar title="Google Scholar">Scholar</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Search title="Google Search">Search</a>
<ul><li><a href=https://en.wikipedia.org/wiki/AI_Overviews title="AI Overviews">AI Overviews</a></li>
<li><a href=https://en.wikipedia.org/wiki/Knowledge_Graph_(Google) title="Knowledge Graph (Google)">Knowledge Graph</a></li>
<li><a href=https://en.wikipedia.org/wiki/SafeSearch title=SafeSearch>SafeSearch</a></ul></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_SearchWiki title="Google SearchWiki">Searchwiki</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Sheets title="Google Sheets">Sheets</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Shoploop title=Shoploop>Shoploop</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Shopping title="Google Shopping">Shopping</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Sidewiki title="Google Sidewiki">Sidewiki</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Sites title="Google Sites">Sites</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Slides title="Google Slides">Slides</a></li>
<li><a href=https://en.wikipedia.org/wiki/Snapseed title=Snapseed>Snapseed</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Socratic_(Google) title="Socratic (Google)">Socratic</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Softcard title=Softcard>Softcard</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Songza title=Songza>Songza</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Sound_Amplifier title="Sound Amplifier">Sound Amplifier</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Spaces title="Google Spaces">Spaces</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Sparrow_(chatbot) title="Sparrow (chatbot)">Sparrow</a> (chatbot)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Sparrow_(email_client) title="Sparrow (email client)">Sparrow</a></i> (email client)</li>
<li><a href=https://en.wikipedia.org/wiki/Speech_Recognition_%26_Synthesis title="Speech Recognition &amp; Synthesis">Speech Recognition &amp; Synthesis</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Squared title="Google Squared">Squared</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Stadia title="Google Stadia">Stadia</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Station title="Google Station">Station</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Store title="Google Store">Store</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View title="Google Street View">Street View</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Surveys title="Google Surveys">Surveys</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Sync title="Google Sync">Sync</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>T<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Tables_(Google) title="Tables (Google)">Tables</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Talk title="Google Talk">Talk</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/TalkBack title=TalkBack>TalkBack</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Tasks title="Google Tasks">Tasks</a></li>
<li><a href=https://en.wikipedia.org/wiki/Tenor_(website) title="Tenor (website)">Tenor</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Tez_(software) title="Tez (software)">Tez</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Tilt_Brush title="Tilt Brush">Tilt Brush</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Toolbar title="Google Toolbar">Toolbar</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Toontastic_3D title="Toontastic 3D">Toontastic 3D</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Translate title="Google Translate">Translate</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Travel title="Google Travel">Travel</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Trendalyzer title=Trendalyzer>Trendalyzer</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Trends title="Google Trends">Trends</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_TV_(service) title="Google TV (service)">TV</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>U<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Google_URL_Shortener title="Google URL Shortener">URL Shortener</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>V<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Google_Video title="Google Video">Video</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Vids title="Google Vids">Vids</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Voice title="Google Voice">Voice</a></li>
<li><a href=https://en.wikipedia.org/wiki/Voice_Access title="Voice Access">Voice Access</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Voice_Search title="Google Voice Search">Voice Search</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>W<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Wallet title="Google Wallet">Wallet</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Wave title="Google Wave">Wave</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Waze title=Waze>Waze</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/WDYL_(search_engine) title="WDYL (search engine)">WDYL</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Web_Light title="Google Web Light">Web Light</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Where_Is_My_Train title="Where Is My Train">Where Is My Train</a></li>
<li><a href=https://en.wikipedia.org/wiki/Widevine title=Widevine>Widevine</a></li>
<li><a href=https://en.wikipedia.org/wiki/Wiz,_Inc. title="Wiz, Inc.">Wiz</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Word_Lens title="Word Lens">Word Lens</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Workspace title="Google Workspace">Workspace</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Workspace_Marketplace title="Google Workspace Marketplace">Workspace Marketplace</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%;text-align:center>Y<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/YouTube title=YouTube>YouTube</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Kids title="YouTube Kids">YouTube Kids</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Music title="YouTube Music">YouTube Music</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Premium title="YouTube Premium">YouTube Premium</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Shorts title="YouTube Shorts">YouTube Shorts</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Studio title="YouTube Studio">YouTube Studio</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_TV title="YouTube TV">YouTube TV</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_VR title="YouTube VR">YouTube VR</a></ul>
</div></table><div></div></table><div></div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup mw-made-collapsible" style=border-spacing:0><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><div id=Hardware4699 style="font-size:114%;margin:0 4em">Hardware</div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Google_Pixel title="Google Pixel">Pixel</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Comparison_of_Google_Pixel_smartphones title="Comparison of Google Pixel smartphones">Smartphones</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Pixel_(1st_generation) title="Pixel (1st generation)">Pixel</a> (2016)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_2 title="Pixel 2">Pixel 2</a> (2017)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_3 title="Pixel 3">Pixel 3</a> (2018)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_3a title="Pixel 3a">Pixel 3a</a> (2019)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_4 title="Pixel 4">Pixel 4</a> (2019)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_4a title="Pixel 4a">Pixel 4a</a> (2020)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_5 title="Pixel 5">Pixel 5</a> (2020)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_5a title="Pixel 5a">Pixel 5a</a> (2021)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_6 title="Pixel 6">Pixel 6</a> (2021)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_6a title="Pixel 6a">Pixel 6a</a> (2022)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_7 title="Pixel 7">Pixel 7</a> (2022)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_7a title="Pixel 7a">Pixel 7a</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_Fold title="Pixel Fold">Pixel Fold</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_8 title="Pixel 8">Pixel 8</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_8a title="Pixel 8a">Pixel 8a</a> (2024)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_9 title="Pixel 9">Pixel 9</a> (2024)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_9_Pro_Fold title="Pixel 9 Pro Fold">Pixel 9 Pro Fold</a> (2024)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_9a title="Pixel 9a">Pixel 9a</a> (2025)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_10 title="Pixel 10">Pixel 10</a> (2025)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_10_Pro_Fold title="Pixel 10 Pro Fold">Pixel 10 Pro Fold</a> (2025)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Smartwatches<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Pixel_Watch title="Pixel Watch">Pixel Watch</a> (2022)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_Watch_2 title="Pixel Watch 2">Pixel Watch 2</a> (2023)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_Watch_3 title="Pixel Watch 3">Pixel Watch 3</a> (2024)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_Watch_4 title="Pixel Watch 4">Pixel Watch 4</a> (2025)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Tablets<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Pixel_C title="Pixel C">Pixel C</a> (2015)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_Slate title="Pixel Slate">Pixel Slate</a> (2018)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixel_Tablet title="Pixel Tablet">Pixel Tablet</a> (2023)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Laptops<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Chromebook_Pixel title="Chromebook Pixel">Chromebook Pixel</a> (20132015)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixelbook title=Pixelbook>Pixelbook</a> (2017)</li>
<li><a href=https://en.wikipedia.org/wiki/Pixelbook_Go title="Pixelbook Go">Pixelbook Go</a> (2019)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Pixel_Buds title="Pixel Buds">Pixel Buds</a> (2017present)</ul>
</div></table><div></div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Google_Nexus title="Google Nexus">Nexus</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Comparison_of_Google_Nexus_smartphones title="Comparison of Google Nexus smartphones">Smartphones</a><td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Nexus_One title="Nexus One">Nexus One</a> (2010)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_S title="Nexus S">Nexus S</a> (2010)</li>
<li><a href=https://en.wikipedia.org/wiki/Galaxy_Nexus title="Galaxy Nexus">Galaxy Nexus</a> (2011)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_4 title="Nexus 4">Nexus 4</a> (2012)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_5 title="Nexus 5">Nexus 5</a> (2013)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_6 title="Nexus 6">Nexus 6</a> (2014)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_5X title="Nexus 5X">Nexus 5X</a> (2015)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_6P title="Nexus 6P">Nexus 6P</a> (2015)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Comparison_of_Google_Nexus_tablets title="Comparison of Google Nexus tablets">Tablets</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Nexus_7_(2012) title="Nexus 7 (2012)">Nexus 7</a> (2012)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_10 title="Nexus 10">Nexus 10</a> (2012)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_7_(2013) title="Nexus 7 (2013)">Nexus 7</a> (2013)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_9 title="Nexus 9">Nexus 9</a> (2014)</ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Nexus_Q title="Nexus Q">Nexus Q</a> (2012)</li>
<li><a href=https://en.wikipedia.org/wiki/Nexus_Player title="Nexus Player">Nexus Player</a> (2014)</ul>
</div></table><div></div><tr><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Android_Dev_Phone title="Android Dev Phone">Android Dev Phone</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Android_One title="Android One">Android One</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Cardboard title="Google Cardboard">Cardboard</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Chromebit title=Chromebit>Chromebit</a></li>
<li><a href=https://en.wikipedia.org/wiki/Chromebook title=Chromebook>Chromebook</a></li>
<li><a href=https://en.wikipedia.org/wiki/Chromebox title=Chromebox>Chromebox</a></li>
<li><a href=https://en.wikipedia.org/wiki/Chromecast title=Chromecast>Chromecast</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Clips title="Google Clips">Clips</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Daydream title="Google Daydream">Daydream</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_Fitbit_products title="List of Fitbit products">Fitbit</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Glass title="Google Glass">Glass</a></li>
<li><a href=https://en.wikipedia.org/wiki/Liftware title=Liftware>Liftware</a></li>
<li><a href=https://en.wikipedia.org/wiki/Liquid_Galaxy title="Liquid Galaxy">Liquid Galaxy</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Nest title="Google Nest">Nest</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Nest_(smart_speakers) title="Google Nest (smart speakers)">smart speakers</a></li>
<li><a href=https://en.wikipedia.org/wiki/Nest_Thermostat title="Nest Thermostat">Thermostat</a></li>
<li><a href=https://en.wikipedia.org/wiki/Nest_Wifi title="Nest Wifi">Wifi</a></ul></li>
<li><i><a href=https://en.wikipedia.org/wiki/List_of_Google_Play_edition_devices title="List of Google Play edition devices">Play Edition</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Project_Ara title="Project Ara">Project Ara</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_OnHub title="Google OnHub">OnHub</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Pixel_Visual_Core title="Pixel Visual Core">Pixel Visual Core</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Project_Iris title="Project Iris">Project Iris</a></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Search_Appliance title="Google Search Appliance">Search Appliance</a></i></li>
<li><a href=https://en.wikipedia.org/wiki/Sycamore_processor class=mw-redirect title="Sycamore processor">Sycamore processor</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Tensor title="Google Tensor">Tensor</a></li>
<li><a href=https://en.wikipedia.org/wiki/Tensor_Processing_Unit title="Tensor Processing Unit">Tensor Processing Unit</a></li>
<li><a href=https://en.wikipedia.org/wiki/Titan_Security_Key title="Titan Security Key">Titan Security Key</a></ul>
</div></table><div></div></table><div></div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks hlist mw-collapsible autocollapse navbox-subgroup mw-made-collapsible mw-collapsed" style=border-spacing:0><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><div class="navbar plainlinks hlist navbar-mini"><ul><li class=nv-view><a href=https://en.wikipedia.org/wiki/Template:Google_litigation title="Template:Google litigation"><abbr title="View this template">v</abbr></a><li class=nv-talk><a href=https://en.wikipedia.org/wiki/Template_talk:Google_litigation title="Template talk:Google litigation"><abbr title="Discuss this template">t</abbr></a><li class=nv-edit><a href=https://en.wikipedia.org/wiki/Special:EditPage/Template:Google_litigation title="Special:EditPage/Template:Google litigation"><abbr title="Edit this template">e</abbr></a></ul></div><div id=Litigation1793 style="font-size:114%;margin:0 4em"><a href=https://en.wikipedia.org/wiki/Google_litigation title="Google litigation">Litigation</a></div><tr hidden><th scope=row class=navbox-group style=width:1%>Advertising<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Feldman_v._Google,_Inc. title="Feldman v. Google, Inc.">Feldman v. Google, Inc.</a></i> (2007)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Rescuecom_Corp._v._Google_Inc. title="Rescuecom Corp. v. Google Inc.">Rescuecom Corp. v. Google Inc.</a></i> (2009)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Goddard_v._Google,_Inc. title="Goddard v. Google, Inc.">Goddard v. Google, Inc.</a></i> (2009)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Rosetta_Stone_Ltd._v._Google,_Inc. title="Rosetta Stone Ltd. v. Google, Inc.">Rosetta Stone Ltd. v. Google, Inc.</a></i> (2012)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Google,_Inc._v._American_Blind_%26_Wallpaper_Factory,_Inc. title="Google, Inc. v. American Blind &amp; Wallpaper Factory, Inc.">Google, Inc. v. American Blind &amp; Wallpaper Factory, Inc.</a></i> (2017)</li>
<li><a href=https://en.wikipedia.org/wiki/Jedi_Blue title="Jedi Blue">Jedi Blue</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Antitrust<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Antitrust_cases_against_Google_by_the_European_Union title="Antitrust cases against Google by the European Union">European Union</a> (2010present)</li>
<li><i><a href=https://en.wikipedia.org/wiki/High-Tech_Employee_Antitrust_Litigation title="High-Tech Employee Antitrust Litigation">United States v. Adobe Systems, Inc., Apple Inc., Google Inc., Intel Corporation, Intuit, Inc., and Pixar</a></i> (2011)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Umar_Javeed,_Sukarma_Thapar,_Aaqib_Javeed_vs._Google_LLC_and_Ors. title="Umar Javeed, Sukarma Thapar, Aaqib Javeed vs. Google LLC and Ors.">Umar Javeed, Sukarma Thapar, Aaqib Javeed vs. Google LLC and Ors.</a></i> (2019)</li>
<li><i><a href=https://en.wikipedia.org/wiki/United_States_v._Google_LLC_(2020) title="United States v. Google LLC (2020)">United States v. Google LLC</a></i> (2020)</li>
<li><i><a href=https://en.wikipedia.org/wiki/United_States_v._Google_LLC_(2023) title="United States v. Google LLC (2023)">United States v. Google LLC</a></i> (2023)</ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Intellectual<br>property<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Perfect_10,_Inc._v._Amazon.com,_Inc. title="Perfect 10, Inc. v. Amazon.com, Inc.">Perfect 10, Inc. v. Amazon.com, Inc.</a></i> (2007)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Viacom_International,_Inc._v._YouTube,_Inc. title="Viacom International, Inc. v. YouTube, Inc.">Viacom International, Inc. v. YouTube, Inc.</a></i> (2010)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Lenz_v._Universal_Music_Corp. title="Lenz v. Universal Music Corp.">Lenz v. Universal Music Corp.</a></i>(2015)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Authors_Guild,_Inc._v._Google,_Inc. title="Authors Guild, Inc. v. Google, Inc.">Authors Guild, Inc. v. Google, Inc.</a></i> (2015)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Field_v._Google,_Inc. title="Field v. Google, Inc.">Field v. Google, Inc.</a></i> (2016)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_LLC_v._Oracle_America,_Inc. title="Google LLC v. Oracle America, Inc.">Google LLC v. Oracle America, Inc.</a></i> (2021)</li>
<li><a href=https://en.wikipedia.org/wiki/Smartphone_patent_wars title="Smartphone patent wars">Smartphone patent wars</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Privacy<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Rocky_Mountain_Bank_v._Google,_Inc. title="Rocky Mountain Bank v. Google, Inc.">Rocky Mountain Bank v. Google, Inc.</a></i> (2009)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Hibnick_v._Google,_Inc. title="Hibnick v. Google, Inc.">Hibnick v. Google, Inc.</a></i> (2010)</li>
<li><i><a href=https://en.wikipedia.org/wiki/United_States_v._Google_Inc. title="United States v. Google Inc.">United States v. Google Inc.</a></i> (2012)</li>
<li><a href=https://en.wikipedia.org/wiki/Judgement_of_the_German_Federal_Court_of_Justice_on_Google%27s_autocomplete_function title="Judgement of the German Federal Court of Justice on Google's autocomplete function">Judgement of the German Federal Court of Justice on Google's autocomplete function</a> (2013)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Joffe_v._Google,_Inc. title="Joffe v. Google, Inc.">Joffe v. Google, Inc.</a></i> (2013)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Mosley_v_SARL_Google title="Mosley v SARL Google">Mosley v SARL Google</a></i> (2013)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Spain_v_AEPD_and_Mario_Costeja_Gonz%C3%A1lez title="Google Spain v AEPD and Mario Costeja González">Google Spain v AEPD and Mario Costeja González</a></i> (2014)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Frank_v._Gaos title="Frank v. Gaos">Frank v. Gaos</a></i> (2019)</ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Garcia_v._Google,_Inc. title="Garcia v. Google, Inc.">Garcia v. Google, Inc.</a></i> (2015)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_LLC_v_Defteros title="Google LLC v Defteros">Google LLC v Defteros</a></i> (2020)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Epic_Games_v._Google title="Epic Games v. Google">Epic Games v. Google</a></i> (2021)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Gonzalez_v._Google_LLC title="Gonzalez v. Google LLC">Gonzalez v. Google LLC</a></i> (2022)</ul>
</div></table><div></div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup mw-made-collapsible" style=border-spacing:0><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><div id=Related6425 style="font-size:114%;margin:0 4em">Related</div><tr hidden><td colspan=2 class="navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Concepts<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Beauty_YouTuber title="Beauty YouTuber">Beauty YouTuber</a></li>
<li><a href=https://en.wikipedia.org/wiki/BookTube title=BookTube>BookTube</a></li>
<li><a href=https://en.wikipedia.org/wiki/BreadTube title=BreadTube>BreadTube</a></li>
<li>"<a href=https://en.wikipedia.org/wiki/Don%27t_be_evil title="Don't be evil">Don't be evil</a>"</li>
<li><a href=https://en.wikipedia.org/wiki/Gayglers title=Gayglers>Gayglers</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_(verb) title="Google (verb)"><i>Google</i> as a verb</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_bombing title="Google bombing">Google bombing</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Political_Google_bombs_in_the_2004_U.S._presidential_election title="Political Google bombs in the 2004 U.S. presidential election">2004 U.S. presidential election</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Google_effect title="Google effect">Google effect</a></li>
<li><a href=https://en.wikipedia.org/wiki/Googlefight title=Googlefight>Googlefight</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_hacking title="Google hacking">Google hacking</a></li>
<li><a href=https://en.wikipedia.org/wiki/Googleshare title=Googleshare>Googleshare</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_tax title="Google tax">Google tax</a></li>
<li><a href=https://en.wikipedia.org/wiki/Googlewhack title=Googlewhack>Googlewhack</a></li>
<li><a href=https://en.wikipedia.org/wiki/Googlization title=Googlization>Googlization</a></li>
<li><a href=https://en.wikipedia.org/wiki/Illegal_flower_tribute title="Illegal flower tribute">Illegal flower tribute</a></li>
<li><a href=https://en.wikipedia.org/wiki/Objectives_and_key_results title="Objectives and key results">Objectives and key results</a></li>
<li><a href=https://en.wikipedia.org/wiki/Rooting_(Android) title="Rooting (Android)">Rooting</a></li>
<li><a href=https://en.wikipedia.org/wiki/Search_engine_manipulation_effect title="Search engine manipulation effect">Search engine manipulation effect</a></li>
<li><a href=https://en.wikipedia.org/wiki/Side_project_time title="Side project time">Side project time</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sitelink title=Sitelink>Sitelink</a></li>
<li><a href=https://en.wikipedia.org/wiki/Site_reliability_engineering title="Site reliability engineering">Site reliability engineering</a></li>
<li><a href=https://en.wikipedia.org/wiki/StudyTube title=StudyTube>StudyTube</a></li>
<li><a href=https://en.wikipedia.org/wiki/VTuber title=VTuber>VTuber</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_Poop title="YouTube Poop">YouTube Poop</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTuber title=YouTuber>YouTuber</a>
<ul><li><a href=https://en.wikipedia.org/wiki/List_of_YouTubers title="List of YouTubers">list</a></ul></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Products<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Android<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Booting_process_of_Android_devices title="Booting process of Android devices">Booting process</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_custom_Android_distributions title="List of custom Android distributions">Custom distributions</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_features_in_Android title="List of features in Android">Features</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_recovery_mode title="Android recovery mode">Recovery mode</a></li>
<li><a href=https://en.wikipedia.org/wiki/Android_software_development title="Android software development">Software development</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Google_Street_View_coverage title="Google Street View coverage">Street View coverage</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Africa title="Google Street View in Africa">Africa</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Antarctica title="Google Street View in Antarctica">Antarctica</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Asia title="Google Street View in Asia">Asia</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Israel title="Google Street View in Israel">Israel</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Europe title="Google Street View in Europe">Europe</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_North_America title="Google Street View in North America">North America</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Canada title="Google Street View in Canada">Canada</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_the_United_States title="Google Street View in the United States">United States</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Oceania title="Google Street View in Oceania">Oceania</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_South_America title="Google Street View in South America">South America</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Argentina title="Google Street View in Argentina">Argentina</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Chile title="Google Street View in Chile">Chile</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Street_View_in_Colombia title="Google Street View in Colombia">Colombia</a></ul></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>YouTube<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/YouTube_copyright_strike title="YouTube copyright strike">Copyright strike</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_in_education title="YouTube in education">Education</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_YouTube_features title="List of YouTube features">Features</a></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_moderation title="YouTube moderation">Moderation</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-disliked_YouTube_videos title="List of most-disliked YouTube videos">Most-disliked videos</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-liked_YouTube_videos title="List of most-liked YouTube videos">Most-liked videos</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-subscribed_YouTube_channels title="List of most-subscribed YouTube channels">Most-subscribed channels</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-viewed_YouTube_channels title="List of most-viewed YouTube channels">Most-viewed channels</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-viewed_YouTube_videos title="List of most-viewed YouTube videos">Most-viewed videos</a>
<ul><li><a href=https://en.wikipedia.org/wiki/List_of_most-viewed_Arabic_music_videos_on_YouTube title="List of most-viewed Arabic music videos on YouTube">Arabic music videos</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-viewed_Chinese_music_videos_on_YouTube title="List of most-viewed Chinese music videos on YouTube">Chinese music videos</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-viewed_French_music_videos_on_YouTube title="List of most-viewed French music videos on YouTube">French music videos</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-viewed_Indian_YouTube_videos title="List of most-viewed Indian YouTube videos">Indian videos</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-viewed_Pakistani_YouTube_videos title="List of most-viewed Pakistani YouTube videos">Pakistani videos</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/YouTube_(YouTube_channel) title="YouTube (YouTube channel)">Official channel</a></li>
<li><a href=https://en.wikipedia.org/wiki/Social_impact_of_YouTube title="Social impact of YouTube">Social impact</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_YouTube_Premium_original_programming title="List of YouTube Premium original programming">YouTube Premium original programming</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Gmail_interface title="Gmail interface">Gmail interface</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Maps_pin title="Google Maps pin">Maps pin</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_most-downloaded_Google_Play_applications title="List of most-downloaded Google Play applications">Most downloaded Google Play applications</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_Stadia_games title="List of Stadia games">Stadia games</a></ul>
</div></table><div></div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Category:Documentary_films_about_Google title="Category:Documentary films about Google">Documentaries</a><td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/AlphaGo_(film) title="AlphaGo (film)">AlphaGo</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Behind_the_Screen title="Google Behind the Screen">Google: Behind the Screen</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Maps_Road_Trip title="Google Maps Road Trip">Google Maps Road Trip</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_and_the_World_Brain title="Google and the World Brain">Google and the World Brain</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/The_Creepy_Line title="The Creepy Line">The Creepy Line</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Category:Books_about_Google title="Category:Books about Google">Books</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Google_Hacks title="Google Hacks">Google Hacks</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/The_Google_Story title="The Google Story">The Google Story</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Googled:_The_End_of_the_World_as_We_Know_It title="Googled: The End of the World as We Know It">Googled: The End of the World as We Know It</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/How_Google_Works title="How Google Works">How Google Works</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/I%27m_Feeling_Lucky_(book) title="I'm Feeling Lucky (book)">I'm Feeling Lucky</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/In_the_Plex title="In the Plex">In the Plex</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/The_MANIAC title="The MANIAC">The MANIAC</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Popular culture<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><i><a href=https://en.wikipedia.org/wiki/Google_Feud title="Google Feud">Google Feud</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Google_Me_(film) title="Google Me (film)">Google Me</a></i> (film)</li>
<li>"<a href=https://en.wikipedia.org/wiki/Google_Me_(Kim_Zolciak_song) title="Google Me (Kim Zolciak song)">Google Me</a>" (Kim Zolciak song)</li>
<li>"<a href=https://en.wikipedia.org/wiki/Google_Me_(Teyana_Taylor_song) title="Google Me (Teyana Taylor song)">Google Me</a>" (Teyana Taylor song)</li>
<li><i><a href=https://en.wikipedia.org/wiki/Is_Google_Making_Us_Stupid%3F title="Is Google Making Us Stupid?">Is Google Making Us Stupid?</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Proceratium_google title="Proceratium google">Proceratium google</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Matt_Nathanson:_Live_at_Google title="Matt Nathanson: Live at Google">Matt Nathanson: Live at Google</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/The_Billion_Dollar_Code title="The Billion Dollar Code">The Billion Dollar Code</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/The_Internship title="The Internship">The Internship</a></i></li>
<li><i><a href=https://en.wikipedia.org/wiki/Where_on_Google_Earth_is_Carmen_Sandiego%3F title="Where on Google Earth is Carmen Sandiego?">Where on Google Earth is Carmen Sandiego?</a></i></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Other<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li>"<a href=https://en.wikipedia.org/wiki/Attention_Is_All_You_Need title="Attention Is All You Need">Attention Is All You Need</a>"</li>
<li><a href=https://en.wikipedia.org/wiki/ElgooG title=ElgooG>elgooG</a></li>
<li><a href=https://en.wikipedia.org/wiki/Generative_pre-trained_transformer title="Generative pre-trained transformer">Generative pre-trained transformer</a></li>
<li>"<a href=https://en.wikipedia.org/wiki/Me_at_the_zoo title="Me at the zoo">Me at the zoo</a>"</li>
<li><a href=https://en.wikipedia.org/wiki/Predictions_of_the_end_of_Google title="Predictions of the end of Google">Predictions of the end</a></li>
<li><a href=https://en.wikipedia.org/wiki/Relationship_between_Google_and_Wikipedia title="Relationship between Google and Wikipedia">Relationship with Wikipedia</a></li>
<li>"<a href=https://en.wikipedia.org/wiki/Reunion_(advertisement) title="Reunion (advertisement)">Reunion</a>"</li>
<li><a href=https://en.wikipedia.org/wiki/Robot_Constitution title="Robot Constitution">Robot Constitution</a></ul>
</div></table><div></div></table><div></div><tr hidden><td class=navbox-abovebelow colspan=2><div><i>Italics</i> denote <a href=https://en.wikipedia.org/wiki/List_of_Google_products#Discontinued_products_and_services title="List of Google products">discontinued products</a>.
<ul><li><span class=noviewer typeof=mw:File><span title=Category><img alt src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="27" height="28"><rect fill-opacity="0"/></svg>' decoding=async width=16 height=16 class=mw-file-element srcset data-file-width=180 data-file-height=185 style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-30)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important" sizes></span></span> <a href=https://en.wikipedia.org/wiki/Category:Google title=Category:Google>Category</a></li>
<li><span class=noviewer typeof=mw:File><span title=Outline><img alt src="data:image/png;base64,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" decoding=async width=10 height=16 class=mw-file-element srcset data-file-width=130 data-file-height=200 sizes></span></span> <a href=https://en.wikipedia.org/wiki/Outline_of_Google title="Outline of Google">Outline</a></ul></div></table></div>
<div class=navbox-styles><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1331366825><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1314944253></div><div role=navigation class=navbox aria-labelledby=Natural_language_processing4500 style=padding:3px><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner mw-made-collapsible mw-collapsed" style=border-spacing:0;background:transparent;color:inherit><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1331366825><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1239400231><div class="navbar plainlinks hlist navbar-mini"><ul><li class=nv-view><a href=https://en.wikipedia.org/wiki/Template:Natural_language_processing title="Template:Natural language processing"><abbr title="View this template">v</abbr></a><li class=nv-talk><a href=https://en.wikipedia.org/wiki/Template_talk:Natural_language_processing title="Template talk:Natural language processing"><abbr title="Discuss this template">t</abbr></a><li class=nv-edit><a href=https://en.wikipedia.org/wiki/Special:EditPage/Template:Natural_language_processing title="Special:EditPage/Template:Natural language processing"><abbr title="Edit this template">e</abbr></a></ul></div><div id=Natural_language_processing4500 style="font-size:114%;margin:0 4em"><a href=https://en.wikipedia.org/wiki/Natural_language_processing title="Natural language processing">Natural language processing</a></div><tr hidden><th scope=row class=navbox-group style=width:1%>General terms<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/AI-complete title=AI-complete>AI-complete</a></li>
<li><a href=https://en.wikipedia.org/wiki/Bag-of-words_model title="Bag-of-words model">Bag-of-words</a></li>
<li><a href=https://en.wikipedia.org/wiki/N-gram title=N-gram><i>n</i>-gram</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Bigram title=Bigram>Bigram</a></li>
<li><a href=https://en.wikipedia.org/wiki/Trigram title=Trigram>Trigram</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Computational_linguistics title="Computational linguistics">Computational linguistics</a></li>
<li><a href=https://en.wikipedia.org/wiki/Natural_language_understanding title="Natural language understanding">Natural language understanding</a></li>
<li><a href=https://en.wikipedia.org/wiki/Stop_word title="Stop word">Stop words</a></li>
<li><a href=https://en.wikipedia.org/wiki/Text_processing title="Text processing">Text processing</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Text_mining title="Text mining">Text analysis</a><td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Argument_mining title="Argument mining">Argument mining</a></li>
<li><a href=https://en.wikipedia.org/wiki/Collocation_extraction title="Collocation extraction">Collocation extraction</a></li>
<li><a href=https://en.wikipedia.org/wiki/Concept_mining title="Concept mining">Concept mining</a></li>
<li><a href=https://en.wikipedia.org/wiki/Coreference#Coreference_resolution title=Coreference>Coreference resolution</a></li>
<li><a href=https://en.wikipedia.org/wiki/Deep_linguistic_processing title="Deep linguistic processing">Deep linguistic processing</a></li>
<li><a href=https://en.wikipedia.org/wiki/Distant_reading title="Distant reading">Distant reading</a></li>
<li><a href=https://en.wikipedia.org/wiki/Information_extraction title="Information extraction">Information extraction</a></li>
<li><a href=https://en.wikipedia.org/wiki/Named-entity_recognition title="Named-entity recognition">Named-entity recognition</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ontology_learning title="Ontology learning">Ontology learning</a></li>
<li><a href=https://en.wikipedia.org/wiki/Parsing title=Parsing>Parsing</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Semantic_parsing title="Semantic parsing">semantic</a></li>
<li><a href=https://en.wikipedia.org/wiki/Syntactic_parsing_(computational_linguistics) title="Syntactic parsing (computational linguistics)">syntactic</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Part-of-speech_tagging title="Part-of-speech tagging">Part-of-speech tagging</a></li>
<li><a href=https://en.wikipedia.org/wiki/Semantic_analysis_(machine_learning) title="Semantic analysis (machine learning)">Semantic analysis</a></li>
<li><a href=https://en.wikipedia.org/wiki/Semantic_role_labeling title="Semantic role labeling">Semantic role labeling</a></li>
<li><a href=https://en.wikipedia.org/wiki/Semantic_decomposition_(natural_language_processing) title="Semantic decomposition (natural language processing)">Semantic decomposition</a></li>
<li><a href=https://en.wikipedia.org/wiki/Semantic_similarity title="Semantic similarity">Semantic similarity</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sentiment_analysis title="Sentiment analysis">Sentiment analysis</a></ul>
<ul><li><a href=https://en.wikipedia.org/wiki/Terminology_extraction title="Terminology extraction">Terminology extraction</a></li>
<li><a href=https://en.wikipedia.org/wiki/Text_mining title="Text mining">Text mining</a></li>
<li><a href=https://en.wikipedia.org/wiki/Textual_entailment title="Textual entailment">Textual entailment</a></li>
<li><a href=https://en.wikipedia.org/wiki/Truecasing title=Truecasing>Truecasing</a></li>
<li><a href=https://en.wikipedia.org/wiki/Word-sense_disambiguation title="Word-sense disambiguation">Word-sense disambiguation</a></li>
<li><a href=https://en.wikipedia.org/wiki/Word-sense_induction title="Word-sense induction">Word-sense induction</a></ul>
</div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th id=Text_segmentation252 scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Text_segmentation title="Text segmentation">Text segmentation</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Compound-term_processing title="Compound-term processing">Compound-term processing</a></li>
<li><a href=https://en.wikipedia.org/wiki/Lemmatisation class=mw-redirect title=Lemmatisation>Lemmatisation</a></li>
<li><a href=https://en.wikipedia.org/wiki/Lexical_analysis title="Lexical analysis">Lexical analysis</a></li>
<li><a href=https://en.wikipedia.org/wiki/Shallow_parsing title="Shallow parsing">Text chunking</a></li>
<li><a href=https://en.wikipedia.org/wiki/Stemming title=Stemming>Stemming</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sentence_boundary_disambiguation title="Sentence boundary disambiguation">Sentence segmentation</a></li>
<li><a href=https://en.wikipedia.org/wiki/Word#Word_boundaries title=Word>Word segmentation</a></ul>
</div></table><div>
</div><tr hidden><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Automatic_summarization title="Automatic summarization">Automatic summarization</a><td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Multi-document_summarization title="Multi-document summarization">Multi-document summarization</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sentence_extraction title="Sentence extraction">Sentence extraction</a></li>
<li><a href=https://en.wikipedia.org/wiki/Text_simplification title="Text simplification">Text simplification</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Machine_translation title="Machine translation">Machine translation</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Computer-assisted_translation title="Computer-assisted translation">Computer-assisted</a></li>
<li><a href=https://en.wikipedia.org/wiki/Example-based_machine_translation title="Example-based machine translation">Example-based</a></li>
<li><a href=https://en.wikipedia.org/wiki/Rule-based_machine_translation title="Rule-based machine translation">Rule-based</a></li>
<li><a href=https://en.wikipedia.org/wiki/Statistical_machine_translation title="Statistical machine translation">Statistical</a></li>
<li><a href=https://en.wikipedia.org/wiki/Transfer-based_machine_translation title="Transfer-based machine translation">Transfer-based</a></li>
<li><a href=https://en.wikipedia.org/wiki/Neural_machine_translation title="Neural machine translation">Neural</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Distributional_semantics title="Distributional semantics">Distributional semantics</a> models<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a class="mw-selflink selflink">BERT</a></li>
<li><a href=https://en.wikipedia.org/wiki/Document-term_matrix title="Document-term matrix">Document-term matrix</a></li>
<li><a href=https://en.wikipedia.org/wiki/Explicit_semantic_analysis title="Explicit semantic analysis">Explicit semantic analysis</a></li>
<li><a href=https://en.wikipedia.org/wiki/FastText title=FastText>fastText</a></li>
<li><a href=https://en.wikipedia.org/wiki/GloVe title=GloVe>GloVe</a></li>
<li><a href=https://en.wikipedia.org/wiki/Language_model title="Language model">Language model</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Large_language_model title="Large language model">large</a></li>
<li><a href=https://en.wikipedia.org/wiki/Small_language_model title="Small language model">small</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Latent_semantic_analysis title="Latent semantic analysis">Latent semantic analysis</a></li>
<li><a href=https://en.wikipedia.org/wiki/Long_short-term_memory title="Long short-term memory">Long short-term memory</a></li>
<li><a href=https://en.wikipedia.org/wiki/Seq2seq title=Seq2seq>Seq2seq</a></li>
<li><a href=https://en.wikipedia.org/wiki/Transformer_(deep_learning_architecture) class=mw-redirect title="Transformer (deep learning architecture)">Transformer</a></li>
<li><a href=https://en.wikipedia.org/wiki/Word_embedding title="Word embedding">Word embedding</a></li>
<li><a href=https://en.wikipedia.org/wiki/Word2vec title=Word2vec>Word2vec</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Language_resource title="Language resource">Language resources</a>,<br>datasets and corpora<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Types and<br>standards<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Corpus_linguistics title="Corpus linguistics">Corpus linguistics</a></li>
<li><a href=https://en.wikipedia.org/wiki/Lexical_resource title="Lexical resource">Lexical resource</a></li>
<li><a href=https://en.wikipedia.org/wiki/Linguistic_Linked_Open_Data title="Linguistic Linked Open Data">Linguistic Linked Open Data</a></li>
<li><a href=https://en.wikipedia.org/wiki/Machine-readable_dictionary title="Machine-readable dictionary">Machine-readable dictionary</a></li>
<li><a href=https://en.wikipedia.org/wiki/Parallel_text title="Parallel text">Parallel text</a></li>
<li><a href=https://en.wikipedia.org/wiki/PropBank title=PropBank>PropBank</a></li>
<li><a href=https://en.wikipedia.org/wiki/Semantic_network title="Semantic network">Semantic network</a></li>
<li><a href=https://en.wikipedia.org/wiki/Simple_Knowledge_Organization_System title="Simple Knowledge Organization System">Simple Knowledge Organization System</a></li>
<li><a href=https://en.wikipedia.org/wiki/Speech_corpus title="Speech corpus">Speech corpus</a></li>
<li><a href=https://en.wikipedia.org/wiki/Text_corpus title="Text corpus">Text corpus</a></li>
<li><a href=https://en.wikipedia.org/wiki/Thesaurus_(information_retrieval) title="Thesaurus (information retrieval)">Thesaurus (information retrieval)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Treebank title=Treebank>Treebank</a></li>
<li><a href=https://en.wikipedia.org/wiki/Universal_Dependencies title="Universal Dependencies">Universal Dependencies</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Data<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/BabelNet title=BabelNet>BabelNet</a></li>
<li><a href=https://en.wikipedia.org/wiki/Bank_of_English title="Bank of English">Bank of English</a></li>
<li><a href=https://en.wikipedia.org/wiki/DBpedia title=DBpedia>DBpedia</a></li>
<li><a href=https://en.wikipedia.org/wiki/FrameNet title=FrameNet>FrameNet</a></li>
<li><a href=https://en.wikipedia.org/wiki/Google_Ngram_Viewer class=mw-redirect title="Google Ngram Viewer">Google Ngram Viewer</a></li>
<li><a href=https://en.wikipedia.org/wiki/UBY title=UBY>UBY</a></li>
<li><a href=https://en.wikipedia.org/wiki/WordNet title=WordNet>WordNet</a></li>
<li><a href=https://en.wikipedia.org/wiki/Wikidata title=Wikidata>Wikidata</a></ul>
</div></table><div></div><tr hidden><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Automatic_identification_and_data_capture title="Automatic identification and data capture">Automatic identification<br>and data capture</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Speech_recognition title="Speech recognition">Speech recognition</a></li>
<li><a href=https://en.wikipedia.org/wiki/Speech_segmentation title="Speech segmentation">Speech segmentation</a></li>
<li><a href=https://en.wikipedia.org/wiki/Speech_synthesis title="Speech synthesis">Speech synthesis</a></li>
<li><a href=https://en.wikipedia.org/wiki/Natural_language_generation title="Natural language generation">Natural language generation</a></li>
<li><a href=https://en.wikipedia.org/wiki/Optical_character_recognition title="Optical character recognition">Optical character recognition</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Topic_model title="Topic model">Topic model</a><td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Document_classification title="Document classification">Document classification</a></li>
<li><a href=https://en.wikipedia.org/wiki/Latent_Dirichlet_allocation title="Latent Dirichlet allocation">Latent Dirichlet allocation</a></li>
<li><a href=https://en.wikipedia.org/wiki/Pachinko_allocation title="Pachinko allocation">Pachinko allocation</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Computer-assisted_reviewing title="Computer-assisted reviewing">Computer-assisted<br>reviewing</a><td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Automated_essay_scoring title="Automated essay scoring">Automated essay scoring</a></li>
<li><a href=https://en.wikipedia.org/wiki/Concordancer title=Concordancer>Concordancer</a></li>
<li><a href=https://en.wikipedia.org/wiki/Grammar_checker title="Grammar checker">Grammar checker</a></li>
<li><a href=https://en.wikipedia.org/wiki/Predictive_text title="Predictive text">Predictive text</a></li>
<li><a href=https://en.wikipedia.org/wiki/Pronunciation_assessment title="Pronunciation assessment">Pronunciation assessment</a></li>
<li><a href=https://en.wikipedia.org/wiki/Spell_checker title="Spell checker">Spell checker</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%><a href=https://en.wikipedia.org/wiki/Natural-language_user_interface title="Natural-language user interface">Natural language<br>user interface</a><td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Chatbot title=Chatbot>Chatbot</a></li>
<li><a href=https://en.wikipedia.org/wiki/Interactive_fiction title="Interactive fiction">Interactive fiction</a></li>
<li><a href=https://en.wikipedia.org/wiki/Question_answering title="Question answering">Question answering</a></li>
<li><a href=https://en.wikipedia.org/wiki/Virtual_assistant title="Virtual assistant">Virtual assistant</a></li>
<li><a href=https://en.wikipedia.org/wiki/Voice_user_interface title="Voice user interface">Voice user interface</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Related<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Formal_semantics_(natural_language) title="Formal semantics (natural language)">Formal semantics</a></li>
<li><a href=https://en.wikipedia.org/wiki/Hallucination_(artificial_intelligence) title="Hallucination (artificial intelligence)">Hallucination</a></li>
<li><a href=https://en.wikipedia.org/wiki/Natural_Language_Toolkit title="Natural Language Toolkit">Natural Language Toolkit</a></li>
<li><a href=https://en.wikipedia.org/wiki/SpaCy title=SpaCy>spaCy</a></ul>
</div></table></div>
<div class=navbox-styles><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1331366825><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1314944253></div><div role=navigation class=navbox aria-labelledby=Artificial_intelligence_(AI)8047 style=padding:3px><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner mw-made-collapsible mw-collapsed" style=border-spacing:0;background:transparent;color:inherit><tbody><tr><th scope=col class=navbox-title colspan=2><button type=button class="mw-collapsible-toggle mw-collapsible-toggle-default mw-collapsible-toggle-collapsed" aria-expanded=false tabindex=0><span class=mw-collapsible-text>show</span></button><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1331366825><link rel=mw-deduplicated-inline-style href=mw-data:TemplateStyles:r1239400231><div class="navbar plainlinks hlist navbar-mini"><ul><li class=nv-view><a href=https://en.wikipedia.org/wiki/Template:Artificial_intelligence_navbox title="Template:Artificial intelligence navbox"><abbr title="View this template">v</abbr></a><li class=nv-talk><a href=https://en.wikipedia.org/wiki/Template_talk:Artificial_intelligence_navbox title="Template talk:Artificial intelligence navbox"><abbr title="Discuss this template">t</abbr></a><li class=nv-edit><a href=https://en.wikipedia.org/wiki/Special:EditPage/Template:Artificial_intelligence_navbox title="Special:EditPage/Template:Artificial intelligence navbox"><abbr title="Edit this template">e</abbr></a></ul></div><div id=Artificial_intelligence_(AI)8047 style="font-size:114%;margin:0 4em"><a href=https://en.wikipedia.org/wiki/Artificial_intelligence title="Artificial intelligence">Artificial intelligence</a> (AI)</div><tr hidden><td class=navbox-abovebelow colspan=2><div>
<ul><li><a href=https://en.wikipedia.org/wiki/History_of_artificial_intelligence title="History of artificial intelligence">History</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Timeline_of_artificial_intelligence title="Timeline of artificial intelligence">timeline</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Glossary_of_artificial_intelligence title="Glossary of artificial intelligence">Glossary</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_artificial_intelligence_companies title="List of artificial intelligence companies">Companies</a></li>
<li><a href=https://en.wikipedia.org/wiki/List_of_artificial_intelligence_projects title="List of artificial intelligence projects">Projects</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Concepts<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Parameter title=Parameter>Parameter</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Hyperparameter_(machine_learning) title="Hyperparameter (machine learning)">Hyperparameter</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Loss_functions_for_classification title="Loss functions for classification">Loss functions</a></li>
<li><a href=https://en.wikipedia.org/wiki/Regression_analysis title="Regression analysis">Regression</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Bias%E2%80%93variance_tradeoff title="Biasvariance tradeoff">Biasvariance tradeoff</a></li>
<li><a href=https://en.wikipedia.org/wiki/Double_descent title="Double descent">Double descent</a></li>
<li><a href=https://en.wikipedia.org/wiki/Overfitting title=Overfitting>Overfitting</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Cluster_analysis title="Cluster analysis">Clustering</a></li>
<li><a href=https://en.wikipedia.org/wiki/Gradient_descent title="Gradient descent">Gradient descent</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Stochastic_gradient_descent title="Stochastic gradient descent">SGD</a></li>
<li><a href=https://en.wikipedia.org/wiki/Quasi-Newton_method title="Quasi-Newton method">Quasi-Newton method</a></li>
<li><a href=https://en.wikipedia.org/wiki/Conjugate_gradient_method title="Conjugate gradient method">Conjugate gradient method</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Backpropagation title=Backpropagation>Backpropagation</a></li>
<li><a href=https://en.wikipedia.org/wiki/Attention_(machine_learning) title="Attention (machine learning)">Attention</a></li>
<li><a href=https://en.wikipedia.org/wiki/Convolution title=Convolution>Convolution</a></li>
<li><a href=https://en.wikipedia.org/wiki/Normalization_(machine_learning) title="Normalization (machine learning)">Normalization</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Batch_normalization title="Batch normalization">Batchnorm</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Activation_function title="Activation function">Activation</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Softmax_function title="Softmax function">Softmax</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sigmoid_function title="Sigmoid function">Sigmoid</a></li>
<li><a href=https://en.wikipedia.org/wiki/Rectifier_(neural_networks) class=mw-redirect title="Rectifier (neural networks)">Rectifier</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Gating_mechanism title="Gating mechanism">Gating</a></li>
<li><a href=https://en.wikipedia.org/wiki/Weight_initialization title="Weight initialization">Weight initialization</a></li>
<li><a href=https://en.wikipedia.org/wiki/Regularization_(mathematics) title="Regularization (mathematics)">Regularization</a></li>
<li><a href=https://en.wikipedia.org/wiki/Training,_validation,_and_test_data_sets title="Training, validation, and test data sets">Datasets</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Data_augmentation title="Data augmentation">Augmentation</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Prompt_engineering title="Prompt engineering">Prompt engineering</a></li>
<li><a href=https://en.wikipedia.org/wiki/Reinforcement_learning title="Reinforcement learning">Reinforcement learning</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Q-learning title=Q-learning>Q-learning</a></li>
<li><a href=https://en.wikipedia.org/wiki/State%E2%80%93action%E2%80%93reward%E2%80%93state%E2%80%93action title=Stateactionrewardstateaction>SARSA</a></li>
<li><a href=https://en.wikipedia.org/wiki/Imitation_learning title="Imitation learning">Imitation</a></li>
<li><a href=https://en.wikipedia.org/wiki/Policy_gradient_method title="Policy gradient method">Policy gradient</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Diffusion_process title="Diffusion process">Diffusion</a></li>
<li><a href=https://en.wikipedia.org/wiki/Latent_diffusion_model title="Latent diffusion model">Latent diffusion model</a></li>
<li><a href=https://en.wikipedia.org/wiki/Autoregressive_model title="Autoregressive model">Autoregression</a></li>
<li><a href=https://en.wikipedia.org/wiki/Adversarial_machine_learning title="Adversarial machine learning">Adversary</a></li>
<li><a href=https://en.wikipedia.org/wiki/Retrieval-augmented_generation title="Retrieval-augmented generation">RAG</a></li>
<li><a href=https://en.wikipedia.org/wiki/Uncanny_valley title="Uncanny valley">Uncanny valley</a></li>
<li><a href=https://en.wikipedia.org/wiki/Reinforcement_learning_from_human_feedback title="Reinforcement learning from human feedback">RLHF</a></li>
<li><a href=https://en.wikipedia.org/wiki/Self-supervised_learning title="Self-supervised learning">Self-supervised learning</a></li>
<li><a href=https://en.wikipedia.org/wiki/Reflection_(artificial_intelligence) class=mw-redirect title="Reflection (artificial intelligence)">Reflection</a></li>
<li><a href=https://en.wikipedia.org/wiki/Recursive_self-improvement title="Recursive self-improvement">Recursive self-improvement</a></li>
<li><a href=https://en.wikipedia.org/wiki/Hallucination_(artificial_intelligence) title="Hallucination (artificial intelligence)">Hallucination</a></li>
<li><a href=https://en.wikipedia.org/wiki/Word_embedding title="Word embedding">Word embedding</a></li>
<li><a href=https://en.wikipedia.org/wiki/Vibe_coding title="Vibe coding">Vibe coding</a></li>
<li><a href=https://en.wikipedia.org/wiki/AI_safety title="AI safety">Safety</a> (<a href=https://en.wikipedia.org/wiki/AI_alignment title="AI alignment">Alignment</a>)</ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Applications<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Machine_learning title="Machine learning">Machine learning</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Prompt_engineering#In-context_learning title="Prompt engineering">In-context learning</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Neural_network_(machine_learning) title="Neural network (machine learning)">Artificial neural network</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Deep_learning title="Deep learning">Deep learning</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Language_model title="Language model">Language model</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Large_language_model title="Large language model">Large</a></li>
<li><a href=https://en.wikipedia.org/wiki/Neural_machine_translation title="Neural machine translation">NMT</a></li>
<li><a href=https://en.wikipedia.org/wiki/Reasoning_model title="Reasoning model">Reasoning</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Model_Context_Protocol title="Model Context Protocol">Model Context Protocol</a></li>
<li><a href=https://en.wikipedia.org/wiki/Intelligent_agent title="Intelligent agent">Intelligent agent</a></li>
<li><a href=https://en.wikipedia.org/wiki/Artificial_human_companion title="Artificial human companion">Artificial human companion</a></li>
<li><a href=https://en.wikipedia.org/wiki/Humanity%27s_Last_Exam title="Humanity's Last Exam">Humanity's Last Exam</a></li>
<li><a href=https://en.wikipedia.org/wiki/Lethal_autonomous_weapon title="Lethal autonomous weapon">Lethal autonomous weapons (LAWs)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Generative_artificial_intelligence title="Generative artificial intelligence">Generative artificial intelligence (GenAI)</a></li>
<li>(Hypothetical: <a href=https://en.wikipedia.org/wiki/Artificial_general_intelligence title="Artificial general intelligence">Artificial general intelligence (AGI)</a>)</li>
<li>(Hypothetical: <a href=https://en.wikipedia.org/wiki/Artificial_superintelligence class=mw-redirect title="Artificial superintelligence">Artificial superintelligence (ASI)</a>)</ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Implementations<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style=border-spacing:0><tbody><tr><th scope=row class=navbox-group style=width:1%>Audiovisual<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/AlexNet title=AlexNet>AlexNet</a></li>
<li><a href=https://en.wikipedia.org/wiki/WaveNet title=WaveNet>WaveNet</a></li>
<li><a href=https://en.wikipedia.org/wiki/Human_image_synthesis title="Human image synthesis">Human image synthesis</a></li>
<li><a href=https://en.wikipedia.org/wiki/Handwriting_recognition title="Handwriting recognition">HWR</a></li>
<li><a href=https://en.wikipedia.org/wiki/Optical_character_recognition title="Optical character recognition">OCR</a></li>
<li><a href=https://en.wikipedia.org/wiki/Computer_vision title="Computer vision">Computer vision</a></li>
<li><a href=https://en.wikipedia.org/wiki/Deep_learning_speech_synthesis title="Deep learning speech synthesis">Speech synthesis</a>
<ul><li><a href=https://en.wikipedia.org/wiki/15.ai title=15.ai>15.ai</a></li>
<li><a href=https://en.wikipedia.org/wiki/ElevenLabs title=ElevenLabs>ElevenLabs</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Speech_recognition title="Speech recognition">Speech recognition</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Whisper_(speech_recognition_system) title="Whisper (speech recognition system)">Whisper</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Facial_recognition_system title="Facial recognition system">Facial recognition</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaFold title=AlphaFold>AlphaFold</a></li>
<li><a href=https://en.wikipedia.org/wiki/Text-to-image_model title="Text-to-image model">Text-to-image models</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Aurora_(text-to-image_model) class=mw-redirect title="Aurora (text-to-image model)">Aurora</a></li>
<li><a href=https://en.wikipedia.org/wiki/DALL-E title=DALL-E>DALL-E</a></li>
<li><a href=https://en.wikipedia.org/wiki/Adobe_Firefly title="Adobe Firefly">Firefly</a></li>
<li><a href=https://en.wikipedia.org/wiki/Flux_(text-to-image_model) title="Flux (text-to-image model)">Flux</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT_Image title="GPT Image">GPT Image</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ideogram_(text-to-image_model) title="Ideogram (text-to-image model)">Ideogram</a></li>
<li><a href=https://en.wikipedia.org/wiki/Imagen_(text-to-image_model) title="Imagen (text-to-image model)">Imagen</a></li>
<li><a href=https://en.wikipedia.org/wiki/Midjourney title=Midjourney>Midjourney</a></li>
<li><a href=https://en.wikipedia.org/wiki/Recraft title=Recraft>Recraft</a></li>
<li><a href=https://en.wikipedia.org/wiki/Stable_Diffusion title="Stable Diffusion">Stable Diffusion</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Text-to-video_model title="Text-to-video model">Text-to-video models</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Dream_Machine_(text-to-video_model) title="Dream Machine (text-to-video model)">Dream Machine</a></li>
<li><a href=https://en.wikipedia.org/wiki/Runway_(company)#Services_and_technologies title="Runway (company)">Runway Gen</a></li>
<li><a href=https://en.wikipedia.org/wiki/MiniMax_(company)#Hailuo_AI title="MiniMax (company)">Hailuo AI</a></li>
<li><a href=https://en.wikipedia.org/wiki/Kling_AI title="Kling AI">Kling</a></li>
<li><a href=https://en.wikipedia.org/wiki/Sora_(text-to-video_model) title="Sora (text-to-video model)">Sora</a></li>
<li><a href=https://en.wikipedia.org/wiki/Veo_(text-to-video_model) title="Veo (text-to-video model)">Veo</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Music_and_artificial_intelligence title="Music and artificial intelligence">Music generation</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Riffusion title=Riffusion>Riffusion</a></li>
<li><a href=https://en.wikipedia.org/wiki/Suno_AI class=mw-redirect title="Suno AI">Suno AI</a></li>
<li><a href=https://en.wikipedia.org/wiki/Udio title=Udio>Udio</a></ul></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Text<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Word2vec title=Word2vec>Word2vec</a></li>
<li><a href=https://en.wikipedia.org/wiki/Seq2seq title=Seq2seq>Seq2seq</a></li>
<li><a href=https://en.wikipedia.org/wiki/GloVe title=GloVe>GloVe</a></li>
<li><a class="mw-selflink selflink">BERT</a></li>
<li><a href=https://en.wikipedia.org/wiki/T5_(language_model) title="T5 (language model)">T5</a></li>
<li><a href=https://en.wikipedia.org/wiki/Llama_(language_model) title="Llama (language model)">Llama</a></li>
<li><a href=https://en.wikipedia.org/wiki/Chinchilla_(language_model) title="Chinchilla (language model)">Chinchilla AI</a></li>
<li><a href=https://en.wikipedia.org/wiki/PaLM title=PaLM>PaLM</a></li>
<li><a href=https://en.wikipedia.org/wiki/Generative_pre-trained_transformer title="Generative pre-trained transformer">GPT</a>
<ul><li><a href=https://en.wikipedia.org/wiki/GPT-1 title=GPT-1>1</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-2 title=GPT-2>2</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-3 title=GPT-3>3</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-J title=GPT-J>J</a></li>
<li><a href=https://en.wikipedia.org/wiki/ChatGPT title=ChatGPT>ChatGPT</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-4 title=GPT-4>4</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-4o title=GPT-4o>4o</a></li>
<li><a href=https://en.wikipedia.org/wiki/OpenAI_o1 title="OpenAI o1">o1</a></li>
<li><a href=https://en.wikipedia.org/wiki/OpenAI_o3 title="OpenAI o3">o3</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-4.5 title=GPT-4.5>4.5</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-4.1 title=GPT-4.1>4.1</a></li>
<li><a href=https://en.wikipedia.org/wiki/OpenAI_o4-mini title="OpenAI o4-mini">o4-mini</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-5 title=GPT-5>5</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-5.1 title=GPT-5.1>5.1</a></li>
<li><a href=https://en.wikipedia.org/wiki/GPT-5.2 title=GPT-5.2>5.2</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Claude_(language_model) title="Claude (language model)">Claude</a></li>
<li><a href=https://en.wikipedia.org/wiki/Gemini_(chatbot) class=mw-redirect title="Gemini (chatbot)">Gemini</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Gemini_(language_model) title="Gemini (language model)">Gemini (language model)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Gemma_(language_model) title="Gemma (language model)">Gemma</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Grok_(chatbot) title="Grok (chatbot)">Grok</a></li>
<li><a href=https://en.wikipedia.org/wiki/LaMDA title=LaMDA>LaMDA</a></li>
<li><a href=https://en.wikipedia.org/wiki/BLOOM_(language_model) title="BLOOM (language model)">BLOOM</a></li>
<li><a href=https://en.wikipedia.org/wiki/DBRX title=DBRX>DBRX</a></li>
<li><a href=https://en.wikipedia.org/wiki/Project_Debater title="Project Debater">Project Debater</a></li>
<li><a href=https://en.wikipedia.org/wiki/IBM_Watson title="IBM Watson">IBM Watson</a></li>
<li><a href=https://en.wikipedia.org/wiki/IBM_Watsonx title="IBM Watsonx">IBM Watsonx</a></li>
<li><a href=https://en.wikipedia.org/wiki/IBM_Granite title="IBM Granite">Granite</a></li>
<li><a href=https://en.wikipedia.org/wiki/Huawei_PanGu title="Huawei PanGu">PanGu-Σ</a></li>
<li><a href=https://en.wikipedia.org/wiki/DeepSeek_(chatbot) title="DeepSeek (chatbot)">DeepSeek</a></li>
<li><a href=https://en.wikipedia.org/wiki/Qwen title=Qwen>Qwen</a></ul>
</div><tr><th scope=row class=navbox-group style=width:1%>Decisional<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/AlphaGo title=AlphaGo>AlphaGo</a></li>
<li><a href=https://en.wikipedia.org/wiki/AlphaZero title=AlphaZero>AlphaZero</a></li>
<li><a href=https://en.wikipedia.org/wiki/OpenAI_Five title="OpenAI Five">OpenAI Five</a></li>
<li><a href=https://en.wikipedia.org/wiki/Self-driving_car title="Self-driving car">Self-driving car</a></li>
<li><a href=https://en.wikipedia.org/wiki/MuZero title=MuZero>MuZero</a></li>
<li><a href=https://en.wikipedia.org/wiki/Action_selection title="Action selection">Action selection</a>
<ul><li><a href=https://en.wikipedia.org/wiki/AutoGPT title=AutoGPT>AutoGPT</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Robot_control title="Robot control">Robot control</a></ul>
</div></table><div></div><tr hidden><th scope=row class=navbox-group style=width:1%>People<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Alan_Turing title="Alan Turing">Alan Turing</a></li>
<li><a href=https://en.wikipedia.org/wiki/Warren_Sturgis_McCulloch title="Warren Sturgis McCulloch">Warren Sturgis McCulloch</a></li>
<li><a href=https://en.wikipedia.org/wiki/Walter_Pitts title="Walter Pitts">Walter Pitts</a></li>
<li><a href=https://en.wikipedia.org/wiki/John_von_Neumann title="John von Neumann">John von Neumann</a></li>
<li><a href=https://en.wikipedia.org/wiki/Christopher_D._Manning title="Christopher D. Manning">Christopher D. Manning</a></li>
<li><a href=https://en.wikipedia.org/wiki/Claude_Shannon title="Claude Shannon">Claude Shannon</a></li>
<li><a href=https://en.wikipedia.org/wiki/Shun%27ichi_Amari title="Shun'ichi Amari">Shun'ichi Amari</a></li>
<li><a href=https://en.wikipedia.org/wiki/Kunihiko_Fukushima title="Kunihiko Fukushima">Kunihiko Fukushima</a></li>
<li><a href=https://en.wikipedia.org/wiki/Takeo_Kanade title="Takeo Kanade">Takeo Kanade</a></li>
<li><a href=https://en.wikipedia.org/wiki/Marvin_Minsky title="Marvin Minsky">Marvin Minsky</a></li>
<li><a href=https://en.wikipedia.org/wiki/John_McCarthy_(computer_scientist) title="John McCarthy (computer scientist)">John McCarthy</a></li>
<li><a href=https://en.wikipedia.org/wiki/Nathaniel_Rochester_(computer_scientist) title="Nathaniel Rochester (computer scientist)">Nathaniel Rochester</a></li>
<li><a href=https://en.wikipedia.org/wiki/Allen_Newell title="Allen Newell">Allen Newell</a></li>
<li><a href=https://en.wikipedia.org/wiki/Cliff_Shaw title="Cliff Shaw">Cliff Shaw</a></li>
<li><a href=https://en.wikipedia.org/wiki/Herbert_A._Simon title="Herbert A. Simon">Herbert A. Simon</a></li>
<li><a href=https://en.wikipedia.org/wiki/Oliver_Selfridge title="Oliver Selfridge">Oliver Selfridge</a></li>
<li><a href=https://en.wikipedia.org/wiki/Frank_Rosenblatt title="Frank Rosenblatt">Frank Rosenblatt</a></li>
<li><a href=https://en.wikipedia.org/wiki/Bernard_Widrow title="Bernard Widrow">Bernard Widrow</a></li>
<li><a href=https://en.wikipedia.org/wiki/Joseph_Weizenbaum title="Joseph Weizenbaum">Joseph Weizenbaum</a></li>
<li><a href=https://en.wikipedia.org/wiki/Seymour_Papert title="Seymour Papert">Seymour Papert</a></li>
<li><a href=https://en.wikipedia.org/wiki/Seppo_Linnainmaa title="Seppo Linnainmaa">Seppo Linnainmaa</a></li>
<li><a href=https://en.wikipedia.org/wiki/Paul_Werbos title="Paul Werbos">Paul Werbos</a></li>
<li><a href=https://en.wikipedia.org/wiki/Geoffrey_Hinton title="Geoffrey Hinton">Geoffrey Hinton</a></li>
<li><a href=https://en.wikipedia.org/wiki/John_Hopfield title="John Hopfield">John Hopfield</a></li>
<li><a href=https://en.wikipedia.org/wiki/J%C3%BCrgen_Schmidhuber title="Jürgen Schmidhuber">Jürgen Schmidhuber</a></li>
<li><a href=https://en.wikipedia.org/wiki/Yann_LeCun title="Yann LeCun">Yann LeCun</a></li>
<li><a href=https://en.wikipedia.org/wiki/Yoshua_Bengio title="Yoshua Bengio">Yoshua Bengio</a></li>
<li><a href=https://en.wikipedia.org/wiki/Lotfi_A._Zadeh title="Lotfi A. Zadeh">Lotfi A. Zadeh</a></li>
<li><a href=https://en.wikipedia.org/wiki/Stephen_Grossberg title="Stephen Grossberg">Stephen Grossberg</a></li>
<li><a href=https://en.wikipedia.org/wiki/Alex_Graves_(computer_scientist) title="Alex Graves (computer scientist)">Alex Graves</a></li>
<li><a href=https://en.wikipedia.org/wiki/James_Goodnight title="James Goodnight">James Goodnight</a></li>
<li><a href=https://en.wikipedia.org/wiki/Andrew_Ng title="Andrew Ng">Andrew Ng</a></li>
<li><a href=https://en.wikipedia.org/wiki/Fei-Fei_Li title="Fei-Fei Li">Fei-Fei Li</a></li>
<li><a href=https://en.wikipedia.org/wiki/Alex_Krizhevsky title="Alex Krizhevsky">Alex Krizhevsky</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ilya_Sutskever title="Ilya Sutskever">Ilya Sutskever</a></li>
<li><a href=https://en.wikipedia.org/wiki/Oriol_Vinyals title="Oriol Vinyals">Oriol Vinyals</a></li>
<li><a href=https://en.wikipedia.org/wiki/Quoc_V._Le title="Quoc V. Le">Quoc V. Le</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ian_Goodfellow title="Ian Goodfellow">Ian Goodfellow</a></li>
<li><a href=https://en.wikipedia.org/wiki/Demis_Hassabis title="Demis Hassabis">Demis Hassabis</a></li>
<li><a href=https://en.wikipedia.org/wiki/David_Silver_(computer_scientist) title="David Silver (computer scientist)">David Silver</a></li>
<li><a href=https://en.wikipedia.org/wiki/Andrej_Karpathy title="Andrej Karpathy">Andrej Karpathy</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ashish_Vaswani title="Ashish Vaswani">Ashish Vaswani</a></li>
<li><a href=https://en.wikipedia.org/wiki/Noam_Shazeer title="Noam Shazeer">Noam Shazeer</a></li>
<li><a href=https://en.wikipedia.org/wiki/Aidan_Gomez title="Aidan Gomez">Aidan Gomez</a></li>
<li><a href=https://en.wikipedia.org/wiki/John_Schulman title="John Schulman">John Schulman</a></li>
<li><a href=https://en.wikipedia.org/wiki/Mustafa_Suleyman title="Mustafa Suleyman">Mustafa Suleyman</a></li>
<li><a href=https://en.wikipedia.org/wiki/Jan_Leike title="Jan Leike">Jan Leike</a></li>
<li><a href=https://en.wikipedia.org/wiki/Daniel_Kokotajlo_(researcher) title="Daniel Kokotajlo (researcher)">Daniel Kokotajlo</a></li>
<li><a href=https://en.wikipedia.org/wiki/Fran%C3%A7ois_Chollet title="François Chollet">François Chollet</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Architectures<td class="navbox-list-with-group navbox-list navbox-odd" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Neural_Turing_machine title="Neural Turing machine">Neural Turing machine</a></li>
<li><a href=https://en.wikipedia.org/wiki/Differentiable_neural_computer title="Differentiable neural computer">Differentiable neural computer</a></li>
<li><a href=https://en.wikipedia.org/wiki/Transformer_(deep_learning_architecture) class=mw-redirect title="Transformer (deep learning architecture)">Transformer</a>
<ul><li><a href=https://en.wikipedia.org/wiki/Vision_transformer title="Vision transformer">Vision transformer (ViT)</a></ul></li>
<li><a href=https://en.wikipedia.org/wiki/Recurrent_neural_network title="Recurrent neural network">Recurrent neural network (RNN)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Long_short-term_memory title="Long short-term memory">Long short-term memory (LSTM)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Gated_recurrent_unit title="Gated recurrent unit">Gated recurrent unit (GRU)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Echo_state_network title="Echo state network">Echo state network</a></li>
<li><a href=https://en.wikipedia.org/wiki/Multilayer_perceptron title="Multilayer perceptron">Multilayer perceptron (MLP)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Convolutional_neural_network title="Convolutional neural network">Convolutional neural network (CNN)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Residual_neural_network title="Residual neural network">Residual neural network (RNN)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Highway_network title="Highway network">Highway network</a></li>
<li><a href=https://en.wikipedia.org/wiki/Mamba_(deep_learning_architecture) title="Mamba (deep learning architecture)">Mamba</a></li>
<li><a href=https://en.wikipedia.org/wiki/Autoencoder title=Autoencoder>Autoencoder</a></li>
<li><a href=https://en.wikipedia.org/wiki/Variational_autoencoder title="Variational autoencoder">Variational autoencoder (VAE)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Generative_adversarial_network title="Generative adversarial network">Generative adversarial network (GAN)</a></li>
<li><a href=https://en.wikipedia.org/wiki/Graph_neural_network title="Graph neural network">Graph neural network (GNN)</a></ul>
</div><tr hidden><th scope=row class=navbox-group style=width:1%>Political<td class="navbox-list-with-group navbox-list navbox-even" style=width:100%;padding:0><div style="padding:0 0.25em">
<ul><li><a href=https://en.wikipedia.org/wiki/Regulation_of_artificial_intelligence title="Regulation of artificial intelligence">Regulation of artificial intelligence</a></li>
<li><a href=https://en.wikipedia.org/wiki/Ethics_of_artificial_intelligence title="Ethics of artificial intelligence">Ethics of artificial intelligence</a></li>
<li><a href=https://en.wikipedia.org/wiki/Precautionary_principle title="Precautionary principle">Precautionary principle</a></li>
<li><a href=https://en.wikipedia.org/wiki/AI_alignment title="AI alignment">AI alignment</a></li>
<li>EU <a href=https://en.wikipedia.org/wiki/Artificial_Intelligence_Act title="Artificial Intelligence Act">Artificial Intelligence Act (AI Act)</a></ul>
</div><tr hidden><td class=navbox-abovebelow colspan=2><div>
<ul><li><span class=noviewer typeof=mw:File><span title=Category><img alt src='data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="27" height="28"><rect fill-opacity="0"/></svg>' decoding=async width=16 height=16 class=mw-file-element srcset data-file-width=180 data-file-height=185 style="background-blend-mode:normal!important;background-clip:content-box!important;background-position:50% 50%!important;background-color:rgba(0,0,0,0)!important;background-image:var(--sf-img-30)!important;background-size:100% 100%!important;background-origin:content-box!important;background-repeat:no-repeat!important" sizes></span></span> <a href=https://en.wikipedia.org/wiki/Category:Artificial_intelligence title="Category:Artificial intelligence">Category</a></ul>
</div></table></div>
</div>
<div class="printfooter sf-hidden" data-nosnippet>Retrieved from ""</div></div>
<div id=catlinks class=catlinks data-mw-interface><div id=mw-normal-catlinks class=mw-normal-catlinks><a href=https://en.wikipedia.org/wiki/Help:Category title=Help:Category>Categories</a>: <ul><li><a href=https://en.wikipedia.org/wiki/Category:Google_software title="Category:Google software">Google software</a><li><a href=https://en.wikipedia.org/wiki/Category:Large_language_models title="Category:Large language models">Large language models</a><li><a href=https://en.wikipedia.org/wiki/Category:2018_software title="Category:2018 software">2018 software</a><li><a href=https://en.wikipedia.org/wiki/Category:2018_in_artificial_intelligence title="Category:2018 in artificial intelligence">2018 in artificial intelligence</a></ul></div><div id=mw-hidden-catlinks class="mw-hidden-catlinks mw-hidden-cats-hidden sf-hidden">Hidden categories: </div></div>
</div>
</main>
</div>
<div class=mw-footer-container>
<footer id=footer class=mw-footer>
<ul id=footer-info>
<li id=footer-info-lastmod> This page was last edited on 28 October 2025, at 17:44<span class=anonymous-show>&nbsp;(UTC)</span>.</li>
<li id=footer-info-copyright>Text is available under the <a href=https://en.wikipedia.org/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>;
additional terms may apply. By using this site, you agree to the <a href=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use class=extiw title="foundation:Special:MyLanguage/Policy:Terms of Use">Terms of Use</a> and <a href=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy class=extiw title="foundation:Special:MyLanguage/Policy:Privacy policy">Privacy Policy</a>. Wikipedia® is a registered trademark of the <a rel=nofollow class="external text" href=https://wikimediafoundation.org/>Wikimedia Foundation, Inc.</a>, a non-profit organization.</li>
</ul>
<ul id=footer-places>
<li id=footer-places-privacy><a href=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy>Privacy policy</a></li>
<li id=footer-places-about><a href=https://en.wikipedia.org/wiki/Wikipedia:About>About Wikipedia</a></li>
<li id=footer-places-disclaimers><a href=https://en.wikipedia.org/wiki/Wikipedia:General_disclaimer>Disclaimers</a></li>
<li id=footer-places-contact><a href=https://en.wikipedia.org/wiki/Wikipedia:Contact_us>Contact Wikipedia</a></li>
<li id=footer-places-legal-safety-contacts><a href=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Legal:Wikimedia_Foundation_Legal_and_Safety_Contact_Information>Legal &amp; safety contacts</a></li>
<li id=footer-places-wm-codeofconduct><a href=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct>Code of Conduct</a></li>
<li id=footer-places-developers><a href=https://developer.wikimedia.org/>Developers</a></li>
<li id=footer-places-statslink><a href=https://stats.wikimedia.org/#/en.wikipedia.org>Statistics</a></li>
<li id=footer-places-cookiestatement><a href=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement>Cookie statement</a></li>
<li id=footer-places-mobileview><a href="https://en.wikipedia.org/w/index.php?title=BERT_(language_model)&amp;mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobile view</a></li>
<li style=display:none></ul>
<ul id=footer-icons class=noprint>
<li id=footer-copyrightico><a href=https://www.wikimedia.org/ class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><picture><img src="data:image/svg+xml;base64,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" width=25 height=25 alt="Wikimedia Foundation" lang=en loading=lazy srcset sizes></picture></a></li>
<li id=footer-poweredbyico><a href=https://www.mediawiki.org/ class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><picture><img src="data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8"?>
<svg xmlns="http://www.w3.org/2000/svg" fill="none" viewBox="0 0 89 31">
	<path fill="#000" d="m41.916 24.41-.01-8.146h-1.123l-2.865 5.394-2.917-5.394h-1.125v8.146h1.3v-5.33l2.414 4.399h.611l2.415-4.47.01 5.395h1.29zm6.919-3.072a3.7 3.7 0 0 0-.363-1.682A2.68 2.68 0 0 0 46 18.124a2.76 2.76 0 0 0-2.525 1.543 3.5 3.5 0 0 0-.372 1.634c-.01.57.123 1.13.383 1.642.245.475.622.869 1.086 1.135a3.43 3.43 0 0 0 2.932.151 2.4 2.4 0 0 0 .955-.756l-.703-.896a1.94 1.94 0 0 1-1.524.675 1.84 1.84 0 0 1-1.213-.4 1.72 1.72 0 0 1-.604-1.089h4.397q.021-.28.021-.43zm-2.836-2.049a1.48 1.48 0 0 1 1.07.419c.295.294.477.68.516 1.094h-3.182c.043-.417.231-.806.53-1.1A1.5 1.5 0 0 1 46 19.289m8.061-3.518v3.189a2.1 2.1 0 0 0-.787-.63 2.4 2.4 0 0 0-1.018-.209 2.69 2.69 0 0 0-2.463 1.513 3.97 3.97 0 0 0 0 3.334 2.68 2.68 0 0 0 2.463 1.524c.364.004.724-.071 1.056-.221a2.06 2.06 0 0 0 .803-.664v.803h1.26v-8.63h-1.319zm-1.646 7.475c-.3.005-.595-.077-.85-.235a1.65 1.65 0 0 1-.599-.681 2.5 2.5 0 0 1 0-2.049c.132-.278.34-.514.598-.681a1.63 1.63 0 0 1 1.7 0c.26.167.467.403.599.681a2.5 2.5 0 0 1 0 2.049 1.66 1.66 0 0 1-.598.681 1.56 1.56 0 0 1-.85.235m4.471 1.163h1.31v-6.215h-1.311zm4.963-6.284a4.3 4.3 0 0 0-1.313.198 3.1 3.1 0 0 0-1.055.57l.515 1.055a2.2 2.2 0 0 1 .772-.454c.297-.108.611-.163.928-.163a1.42 1.42 0 0 1 1.045.352 1.35 1.35 0 0 1 .352 1.001v.093h-1.454a2.6 2.6 0 0 0-1.769.507 1.72 1.72 0 0 0-.561 1.344 1.76 1.76 0 0 0 .986 1.624c.344.164.722.244 1.102.234.37.01.738-.064 1.075-.216a1.57 1.57 0 0 0 .688-.622v.762h1.24v-3.644a2.7 2.7 0 0 0-.656-1.984 2.55 2.55 0 0 0-1.895-.658m-.179 5.307a1.2 1.2 0 0 1-.786-.234.77.77 0 0 1-.284-.63q0-.82 1.134-.82h1.352v.715a1.33 1.33 0 0 1-.54.716 1.57 1.57 0 0 1-.877.25zm13.76-7.17-1.876 6.227-1.857-6.227h-1.262l-1.9 6.192-1.826-6.192h-1.417l2.435 8.147h1.457l1.847-6.029 1.816 6.029h1.45l2.435-8.147zm2.131 8.147h1.312v-6.215H77.56zm7.054 0h1.595L83.647 20.8l2.346-2.607h-1.579l-2.72 2.794V15.78h-1.31v8.631h1.31v-1.642l.977-1.024zm2.183 0h1.312v-6.215h-1.313v6.215zm-29.252-7.036a.82.82 0 0 0 .604-.235.8.8 0 0 0 .235-.586.7.7 0 0 0-.242-.545.86.86 0 0 0-.598-.217.84.84 0 0 0-.598.227.78.78 0 0 0-.178.874.8.8 0 0 0 .178.258.84.84 0 0 0 .598.227zm20.676 0a.82.82 0 0 0 .604-.235.8.8 0 0 0 .235-.586.7.7 0 0 0-.242-.545.86.86 0 0 0-.598-.217.84.84 0 0 0-.598.227.78.78 0 0 0 0 1.132.84.84 0 0 0 .598.227zm9.236 0a.82.82 0 0 0 .604-.235.8.8 0 0 0 .234-.586.7.7 0 0 0-.241-.545.86.86 0 0 0-.598-.217.84.84 0 0 0-.598.227.78.78 0 0 0 0 1.132.84.84 0 0 0 .598.227zM36.136 9.916c.416.007.83-.053 1.227-.177a2.5 2.5 0 0 0 .889-.498 2.14 2.14 0 0 0 .544-.762 2.5 2.5 0 0 0 .184-.974 2.6 2.6 0 0 0-.17-.968 1.9 1.9 0 0 0-.525-.745 2.4 2.4 0 0 0-.886-.477 4.2 4.2 0 0 0-1.258-.17h-2.279v7.574h1.087V9.916zm-1.187-3.914h1.188c.261-.005.522.03.773.103.202.059.389.16.549.298.145.128.257.289.327.469.075.202.112.416.108.63.001.216-.039.429-.117.63a1.3 1.3 0 0 1-.336.487c-.16.142-.348.25-.551.317-.244.08-.5.12-.757.117h-1.184zm5.993 1.47c-.308.12-.586.31-.813.55-.23.25-.406.546-.515.868a3.74 3.74 0 0 0 0 2.288c.11.323.284.619.515.87.227.242.504.43.813.551a3.05 3.05 0 0 0 2.134 0c.306-.122.582-.31.807-.55a2.5 2.5 0 0 0 .512-.871 3.74 3.74 0 0 0 0-2.288 2.5 2.5 0 0 0-.512-.868 2.2 2.2 0 0 0-.807-.55 3.05 3.05 0 0 0-2.134 0m-.095 4.023a2.4 2.4 0 0 1-.383-1.457 2.43 2.43 0 0 1 .383-1.456 1.35 1.35 0 0 1 1.163-.522 1.33 1.33 0 0 1 1.15.522c.277.433.41.943.38 1.456a2.43 2.43 0 0 1-.38 1.457 1.34 1.34 0 0 1-1.15.517 1.35 1.35 0 0 1-1.163-.517m5.965 1.224h.755a.235.235 0 0 0 .228-.19l1.165-3.531q.041-.125.068-.254l.053-.256q.027.127.059.253c.032.126.045.168.072.252l1.146 3.536a.21.21 0 0 0 .2.19h.792l1.731-5.356h-.755a.3.3 0 0 0-.29.2l-1.003 3.34a9 9 0 0 0-.164.756 13 13 0 0 0-.196-.754L49.6 7.543a.27.27 0 0 0-.1-.14.3.3 0 0 0-.183-.055h-.43a.275.275 0 0 0-.275.195l-1.087 3.36-.112.386q-.052.185-.1.37a13 13 0 0 0-.153-.754l-.986-3.341a.3.3 0 0 0-.103-.142.32.32 0 0 0-.199-.059h-.79zm8.24-5.235c-.3.13-.57.321-.791.562a2.5 2.5 0 0 0-.499.84 3 3 0 0 0-.174 1.042c-.008.419.057.836.192 1.232.114.333.297.64.536.898.23.24.51.429.82.548a2.8 2.8 0 0 0 1.027.188q.294 0 .586-.047.297-.046.578-.15a2.7 2.7 0 0 0 .523-.258q.243-.155.427-.378l-.285-.363a.2.2 0 0 0-.184-.095.44.44 0 0 0-.222.08 5 5 0 0 1-.308.174q-.21.106-.433.175a2 2 0 0 1-.599.079 1.8 1.8 0 0 1-.67-.118 1.3 1.3 0 0 1-.516-.358 1.7 1.7 0 0 1-.337-.604 3 3 0 0 1-.14-.855h3.536a.2.2 0 0 0 .187-.079.65.65 0 0 0 .05-.312 2.9 2.9 0 0 0-.168-1.021 2.04 2.04 0 0 0-1.182-1.22 2.5 2.5 0 0 0-.897-.162 2.6 2.6 0 0 0-1.057.202m1.634.636a1.21 1.21 0 0 1 .681.751q.094.286.09.587h-2.846a1.82 1.82 0 0 1 .47-1.056 1.58 1.58 0 0 1 1.605-.282m3.794 4.599V9.358q.091-.243.22-.47.11-.195.274-.349.152-.141.346-.215c.141-.052.291-.077.441-.074q.161-.001.319.031.108.027.22.032a.16.16 0 0 0 .168-.142l.07-.75a.8.8 0 0 0-.273-.116 1.4 1.4 0 0 0-.33-.038 1.35 1.35 0 0 0-.886.306 2.4 2.4 0 0 0-.622.839l-.064-.781a.36.36 0 0 0-.082-.211.33.33 0 0 0-.224-.06h-.574v5.359h1.002zm3.798-5.235c-.3.13-.57.321-.792.562a2.5 2.5 0 0 0-.498.84 3 3 0 0 0-.175 1.042 3.6 3.6 0 0 0 .192 1.232c.114.333.297.64.536.898.23.24.51.429.821.548a2.8 2.8 0 0 0 1.026.188q.294 0 .586-.047.296-.046.578-.15a2.7 2.7 0 0 0 .523-.258 1.9 1.9 0 0 0 .427-.378l-.285-.363a.2.2 0 0 0-.184-.095.44.44 0 0 0-.221.08 5 5 0 0 1-.309.174q-.21.106-.432.175a2 2 0 0 1-.6.079 1.8 1.8 0 0 1-.67-.118 1.3 1.3 0 0 1-.515-.358 1.7 1.7 0 0 1-.338-.604 3 3 0 0 1-.14-.855h3.536a.2.2 0 0 0 .188-.079c.04-.1.056-.208.044-.315a2.9 2.9 0 0 0-.169-1.022 2.1 2.1 0 0 0-.469-.751 2 2 0 0 0-.713-.47 2.5 2.5 0 0 0-.897-.16 2.6 2.6 0 0 0-1.053.205zm1.633.636a1.2 1.2 0 0 1 .681.751q.094.286.09.587h-2.847a1.82 1.82 0 0 1 .47-1.056 1.58 1.58 0 0 1 1.604-.282zm7.259 4.599V4.936h-1.003V7.88a1.83 1.83 0 0 0-1.446-.612 2.1 2.1 0 0 0-.965.214c-.282.14-.53.34-.728.586a2.7 2.7 0 0 0-.459.884 3.7 3.7 0 0 0-.158 1.106c-.006.396.042.79.142 1.173.08.309.22.6.41.857.166.224.385.404.637.525.26.121.544.181.832.177q.27.005.532-.06.245-.06.47-.181.222-.12.415-.285.198-.17.365-.372l.09.629a.246.246 0 0 0 .263.2h.603zm-2.966-.842a1 1 0 0 1-.411-.344 1.7 1.7 0 0 1-.26-.599 3.7 3.7 0 0 1-.089-.876 2.46 2.46 0 0 1 .39-1.499 1.3 1.3 0 0 1 1.115-.52 1.6 1.6 0 0 1 .665.136c.222.107.413.268.554.469v2.562a2.2 2.2 0 0 1-.622.578 1.5 1.5 0 0 1-.787.203 1.35 1.35 0 0 1-.555-.11m7.747.842a.234.234 0 0 0 .253-.211l.048-.46c.17.223.381.41.625.547.273.14.577.209.884.198a2.06 2.06 0 0 0 1.682-.795c.209-.273.365-.582.46-.913.11-.384.165-.782.16-1.182a4 4 0 0 0-.14-1.095 2.4 2.4 0 0 0-.403-.82 1.8 1.8 0 0 0-.641-.52 1.9 1.9 0 0 0-.847-.182 2 2 0 0 0-.968.227 2.7 2.7 0 0 0-.758.612v-3.19h-1.004v7.784zm2.73-4.192c.263.42.385.913.347 1.407.04.549-.097 1.1-.39 1.562a1.33 1.33 0 0 1-1.125.517 1.6 1.6 0 0 1-.655-.135 1.46 1.46 0 0 1-.554-.469V8.861a2.3 2.3 0 0 1 .612-.587c.235-.139.505-.21.779-.202a1.17 1.17 0 0 1 .987.455m7.074-1.164h-.796a.3.3 0 0 0-.29.2l-1.34 3.262q-.048.117-.09.245l-.079.245a4 4 0 0 0-.142-.48l-1.387-3.272a.3.3 0 0 0-.301-.2h-.873l2.205 5.029-.982 2.126h.747a.35.35 0 0 0 .228-.061.44.44 0 0 0 .117-.177z"/>
	<path fill="url(#p)" d="M8.284 6.116A4.55 4.55 0 0 0 9.61 9.24a3.5 3.5 0 0 0 2.314.923 1.07 1.07 0 0 0 .736-.33 3.51 3.51 0 0 0 .821-3.373c-.623-2.16-2.35-3.35-4.457-4.384a9.4 9.4 0 0 0-.741 4.038z" opacity=".65"/>
	<path fill="url(#i)" d="M5.155 9.25a4.5 4.5 0 0 0 2.422 2.374c.806.293 1.69.28 2.488-.037.254-.117.452-.327.555-.586a3.51 3.51 0 0 0-.52-3.43c-1.41-1.75-3.45-2.19-5.795-2.335a9.4 9.4 0 0 0 .85 4.013" opacity=".65"/>
	<path fill="url(#h)" d="M3.465 13.345a4.48 4.48 0 0 0 3.143 1.262 3.5 3.5 0 0 0 2.286-.99 1.1 1.1 0 0 0 .288-.756A3.52 3.52 0 0 0 7.39 9.89c-1.96-1.08-4.02-.705-6.243.07a9.4 9.4 0 0 0 2.318 3.384" opacity=".65"/>
	<path fill="url(#g)" d="M3.462 17.781c1.09.429 2.3.414 3.383-.041a3.52 3.52 0 0 0 1.734-1.793 1.1 1.1 0 0 0-.02-.81 3.49 3.49 0 0 0-2.786-2.054c-2.231-.236-3.981.897-5.747 2.462a9.4 9.4 0 0 0 3.436 2.236" opacity=".65"/>
	<path fill="url(#f)" d="M5.148 21.877a4.5 4.5 0 0 0 3.11-1.338 3.53 3.53 0 0 0 .92-2.323 1.1 1.1 0 0 0-.328-.74 3.48 3.48 0 0 0-3.357-.828c-2.15.633-3.34 2.36-4.365 4.484a9.3 9.3 0 0 0 4.02.745" opacity=".65"/>
	<path fill="url(#e)" d="M8.267 25.019a4.5 4.5 0 0 0 2.364-2.438c.292-.81.28-1.7-.036-2.5a1.08 1.08 0 0 0-.586-.558 3.49 3.49 0 0 0-3.417.526c-1.74 1.41-2.18 3.46-2.325 5.821a9.3 9.3 0 0 0 4-.851" opacity=".65"/>
	<path fill="url(#d)" d="M12.345 26.72a4.53 4.53 0 0 0 1.254-3.157 3.53 3.53 0 0 0-.987-2.296 1.08 1.08 0 0 0-.752-.29 3.49 3.49 0 0 0-2.952 1.8c-1.07 1.97-.697 4.04.07 6.27a9.3 9.3 0 0 0 3.367-2.327" opacity=".65"/>
	<path fill="url(#c)" d="M16.764 26.724c.427-1.1.412-2.32-.041-3.4a3.52 3.52 0 0 0-1.785-1.743 1.08 1.08 0 0 0-.806.02c-.554.25-1.03.639-1.392 1.13s-.584 1.07-.654 1.67c-.234 2.24.895 4 2.455 5.767a9.35 9.35 0 0 0 2.223-3.444" opacity=".65"/>
	<path fill="url(#b)" d="M20.84 25.031c-.022-1.18-.5-2.3-1.332-3.125a3.5 3.5 0 0 0-2.314-.924 1.07 1.07 0 0 0-.736.33 3.51 3.51 0 0 0-.821 3.372c.63 2.16 2.35 3.35 4.464 4.384a9.4 9.4 0 0 0 .739-4.037" opacity=".65"/>
	<path fill="url(#a)" d="M23.966 21.897a4.5 4.5 0 0 0-2.421-2.375 3.5 3.5 0 0 0-2.489.037 1.08 1.08 0 0 0-.555.586 3.51 3.51 0 0 0 .525 3.432c1.41 1.75 3.45 2.19 5.795 2.335a9.4 9.4 0 0 0-.855-4.015" opacity=".65"/>
	<path fill="url(#o)" d="M25.659 17.801a4.48 4.48 0 0 0-3.142-1.263c-.857.04-1.67.391-2.285.99a1.1 1.1 0 0 0-.289.756 3.52 3.52 0 0 0 1.792 2.97c1.96 1.08 4.02.704 6.244-.07a9.4 9.4 0 0 0-2.32-3.383" opacity=".65"/>
	<path fill="url(#n)" d="M25.663 13.365a4.48 4.48 0 0 0-3.387.041 3.52 3.52 0 0 0-1.734 1.793c-.098.263-.09.553.021.81a3.49 3.49 0 0 0 2.786 2.056c2.23.234 3.98-.9 5.746-2.463a9.3 9.3 0 0 0-3.432-2.237" opacity=".65"/>
	<path fill="url(#m)" d="M23.977 9.266a4.5 4.5 0 0 0-3.109 1.338 3.53 3.53 0 0 0-.92 2.325c.011.28.129.545.33.74a3.48 3.48 0 0 0 3.357.828c2.15-.633 3.34-2.36 4.364-4.485a9.3 9.3 0 0 0-4.022-.746" opacity=".65"/>
	<path fill="url(#l)" d="M20.858 6.127a4.52 4.52 0 0 0-2.364 2.432c-.292.81-.279 1.7.036 2.5.116.256.326.456.587.559a3.49 3.49 0 0 0 3.417-.527c1.74-1.41 2.18-3.46 2.324-5.82a9.3 9.3 0 0 0-4 .856" opacity=".65"/>
	<path fill="url(#k)" d="M16.78 4.426a4.55 4.55 0 0 0-1.257 3.157c.038.86.388 1.68.985 2.296.204.19.474.295.753.29a3.49 3.49 0 0 0 2.957-1.8c1.07-1.97.696-4.04-.07-6.272a9.3 9.3 0 0 0-3.368 2.329" opacity=".65"/>
	<path fill="url(#j)" d="M12.364 4.422a4.55 4.55 0 0 0 .041 3.401 3.5 3.5 0 0 0 1.785 1.741c.26.098.55.09.805-.02a3.54 3.54 0 0 0 1.393-1.13c.36-.49.584-1.07.654-1.67.235-2.24-.895-4-2.455-5.767a9.35 9.35 0 0 0-2.223 3.445" opacity=".65"/>
	<defs>
		<linearGradient id="p" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="i" x1="-2.35" x2="29.312" y1="30.321" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="h" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="g" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="f" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="e" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="d" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="c" x1="-2.35" x2="29.312" y1="30.321" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="b" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="a" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="o" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="n" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="m" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="l" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="k" x1="-2.35" x2="29.312" y1="30.321" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
		<linearGradient id="j" x1="-2.35" x2="29.312" y1="30.32" y2="1.004" gradientUnits="userSpaceOnUse">
			<stop offset="0" stop-color="#0A00B2"/>
			<stop offset=".5" stop-color="red"/>
			<stop offset="1" stop-color="#FFFC00"/>
		</linearGradient>
	</defs>
</svg>
" alt="Powered by MediaWiki" lang=en width=25 height=25 loading=lazy srcset sizes></picture></a></li>
</ul>
</footer>
</div>
</div>
</div>
<div class="vector-header-container vector-sticky-header-container no-font-mode-scale sf-hidden">
</div>
<div class="mw-portlet mw-portlet-dock-bottom emptyPortlet" id=p-dock-bottom>
<ul>
</ul>
</div>
<script type=application/ld+json>{"@context":"https://schema.org","@type":"Article","name":"BERT (language model)","url":"https://en.wikipedia.org/wiki/BERT_(language_model)","sameAs":"http://www.wikidata.org/entity/Q61726893","mainEntity":"http://www.wikidata.org/entity/Q61726893","author":{"@type":"Organization","name":"Contributors to Wikimedia projects"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https://www.wikimedia.org/static/images/wmf-hor-googpub.png"}},"datePublished":"2019-10-10T16:19:45Z","dateModified":"2025-10-28T17:44:37Z","headline":"deep learning artificial neural network language model"}</script>
<a href=# style=visibility:hidden id=__TIMER_INJECTION_FLAG__{a8cf72f7-09b7-4cd4-9aaa-7a023bf09916} class=sf-hidden></a><div class=rt-overlay></div><div id=mw-teleport-target class=vector-body></div><a accesskey=v href="https://en.wikipedia.org/wiki/BERT_(language_model)?action=edit" class="oo-ui-element-hidden sf-hidden"></a>