CINXE.COM

MapReduce - Wikipedia

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-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" lang="en" dir="ltr"> <head> <meta charset="UTF-8"> <title>MapReduce - Wikipedia</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-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";var cookie=document.cookie.match(/(?:^|; )enwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy", "wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"d8e42670-2d73-4b7a-acc6-afc4efa9ca1c","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"MapReduce","wgTitle":"MapReduce","wgCurRevisionId":1257501989,"wgRevisionId":1257501989,"wgArticleId":1702875,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Articles with short description","Short description is different from Wikidata","Commons category link is on Wikidata","Articles with example code","Google software","Parallel computing","Distributed computing architecture"],"wgPageViewLanguage":"en","wgPageContentLanguage":"en","wgPageContentModel":"wikitext","wgRelevantPageName":"MapReduce","wgRelevantArticleId":1702875,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[], "wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgFlaggedRevsParams":{"tags":{"status":{"levels":1}}},"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"en","pageLanguageDir":"ltr","pageVariantFallbacks":"en"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":false,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":50000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q567759","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false, "wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.cite.styles":"ready","ext.pygments":"ready","ext.math.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","jquery.makeCollapsible.styles":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","ext.pygments.view","site","mediawiki.page.ready","jquery.makeCollapsible","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.ReferenceTooltips","ext.gadget.switcher","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap" ,"ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.quicksurveys.init","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=en&amp;modules=ext.cite.styles%7Cext.math.styles%7Cext.pygments%2CwikimediaBadges%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediamessages.styles%7Cjquery.makeCollapsible.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&amp;only=styles&amp;skin=vector-2022"> <script async="" src="/w/load.php?lang=en&amp;modules=startup&amp;only=scripts&amp;raw=1&amp;skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=en&amp;modules=site.styles&amp;only=styles&amp;skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <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="MapReduce - Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//en.m.wikipedia.org/wiki/MapReduce"> <link rel="alternate" type="application/x-wiki" title="Edit this page" href="/w/index.php?title=MapReduce&amp;action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (en)"> <link rel="EditURI" type="application/rsd+xml" href="//en.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://en.wikipedia.org/wiki/MapReduce"> <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="/w/index.php?title=Special:RecentChanges&amp;feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </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-MapReduce rootpage-MapReduce skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Jump to content</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <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" > <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" > <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" > <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" 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"> Navigation </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Main_Page" title="Visit the main page [z]" accesskey="z"><span>Main page</span></a></li><li id="n-contents" class="mw-list-item"><a href="/wiki/Wikipedia:Contents" title="Guides to browsing Wikipedia"><span>Contents</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Portal:Current_events" title="Articles related to current events"><span>Current events</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:Random" title="Visit a randomly selected article [x]" accesskey="x"><span>Random article</span></a></li><li id="n-aboutsite" class="mw-list-item"><a href="/wiki/Wikipedia:About" title="Learn about Wikipedia and how it works"><span>About Wikipedia</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="//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="/wiki/Help:Contents" title="Guidance on how to use and edit Wikipedia"><span>Help</span></a></li><li id="n-introduction" class="mw-list-item"><a href="/wiki/Help:Introduction" title="Learn how to edit Wikipedia"><span>Learn to edit</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Community_portal" title="The hub for editors"><span>Community portal</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:RecentChanges" title="A list of recent changes to Wikipedia [r]" accesskey="r"><span>Recent changes</span></a></li><li id="n-upload" class="mw-list-item"><a href="/wiki/Wikipedia:File_upload_wizard" title="Add images or other media for use on Wikipedia"><span>Upload file</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Main_Page" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="The Free Encyclopedia" src="/static/images/mobile/copyright/wikipedia-tagline-en.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="/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" title="Search Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Search</span> </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" type="search" name="search" placeholder="Search Wikipedia" aria-label="Search Wikipedia" autocapitalize="sentences" title="Search Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:Search"> </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" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page&#039;s font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Appearance" > <label id="vector-appearance-dropdown-label" for="vector-appearance-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Appearance</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </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 user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_en.wikipedia.org&amp;uselang=en" class=""><span>Donate</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:CreateAccount&amp;returnto=MapReduce" title="You are encouraged to create an account and log in; however, it is not mandatory" class=""><span>Create account</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:UserLogin&amp;returnto=MapReduce" title="You&#039;re encouraged to log in; however, it&#039;s not mandatory. [o]" accesskey="o" class=""><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" title="Log in and more options" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Personal tools" > <label id="vector-user-links-dropdown-label" for="vector-user-links-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Personal tools</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_en.wikipedia.org&amp;uselang=en"><span>Donate</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:CreateAccount&amp;returnto=MapReduce" title="You are encouraged to create an account and log in; however, it is not mandatory"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Create account</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:UserLogin&amp;returnto=MapReduce" title="You&#039;re encouraged to log in; however, it&#039;s not mandatory. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Log in</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pages for logged out editors <a href="/wiki/Help:Introduction" aria-label="Learn more about editing"><span>learn more</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:MyContributions" title="A list of edits made from this IP address [y]" accesskey="y"><span>Contributions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:MyTalk" title="Discussion about edits from this IP address [n]" accesskey="n"><span>Talk</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></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" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </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" 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-Overview" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Overview"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Overview</span> </div> </a> <ul id="toc-Overview-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Logical_view" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Logical_view"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Logical view</span> </div> </a> <button aria-controls="toc-Logical_view-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Logical view subsection</span> </button> <ul id="toc-Logical_view-sublist" class="vector-toc-list"> <li id="toc-Examples" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Examples"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Examples</span> </div> </a> <ul id="toc-Examples-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Dataflow" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Dataflow"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Dataflow</span> </div> </a> <button aria-controls="toc-Dataflow-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Dataflow subsection</span> </button> <ul id="toc-Dataflow-sublist" class="vector-toc-list"> <li id="toc-Input_reader" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Input_reader"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Input reader</span> </div> </a> <ul id="toc-Input_reader-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Map_function" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Map_function"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Map function</span> </div> </a> <ul id="toc-Map_function-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Partition_function" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Partition_function"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Partition function</span> </div> </a> <ul id="toc-Partition_function-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Comparison_function" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Comparison_function"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>Comparison function</span> </div> </a> <ul id="toc-Comparison_function-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Reduce_function" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Reduce_function"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.5</span> <span>Reduce function</span> </div> </a> <ul id="toc-Reduce_function-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Output_writer" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Output_writer"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.6</span> <span>Output writer</span> </div> </a> <ul id="toc-Output_writer-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Theoretical_background" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Theoretical_background"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Theoretical background</span> </div> </a> <ul id="toc-Theoretical_background-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Performance_considerations" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Performance_considerations"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Performance considerations</span> </div> </a> <ul id="toc-Performance_considerations-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Distribution_and_reliability" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Distribution_and_reliability"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Distribution and reliability</span> </div> </a> <ul id="toc-Distribution_and_reliability-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Uses" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Uses"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Uses</span> </div> </a> <ul id="toc-Uses-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Criticism" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Criticism"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Criticism</span> </div> </a> <button aria-controls="toc-Criticism-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Criticism subsection</span> </button> <ul id="toc-Criticism-sublist" class="vector-toc-list"> <li id="toc-Lack_of_novelty" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Lack_of_novelty"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.1</span> <span>Lack of novelty</span> </div> </a> <ul id="toc-Lack_of_novelty-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Restricted_programming_framework" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Restricted_programming_framework"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2</span> <span>Restricted programming framework</span> </div> </a> <ul id="toc-Restricted_programming_framework-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>See also</span> </div> </a> <button aria-controls="toc-See_also-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle See also subsection</span> </button> <ul id="toc-See_also-sublist" class="vector-toc-list"> <li id="toc-Implementations_of_MapReduce" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Implementations_of_MapReduce"> <div class="vector-toc-text"> <span class="vector-toc-numb">9.1</span> <span>Implementations of MapReduce</span> </div> </a> <ul id="toc-Implementations_of_MapReduce-sublist" class="vector-toc-list"> </ul> </li> </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">10</span> <span>References</span> </div> </a> <ul id="toc-References-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"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-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-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">MapReduce</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 20 languages" > <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-20" 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">20 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D9%85%D9%88%D8%B0%D8%AC_%D8%A7%D9%84%D9%87%D9%8A%D9%83%D9%84%D8%A9_%D9%88%D8%A7%D9%84%D8%AA%D8%AC%D9%85%D9%8A%D8%B9" title="نموذج الهيكلة والتجميع – Arabic" lang="ar" hreflang="ar" data-title="نموذج الهيكلة والتجميع" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/MapReduce" title="MapReduce – Catalan" lang="ca" hreflang="ca" data-title="MapReduce" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/MapReduce" title="MapReduce – Czech" lang="cs" hreflang="cs" data-title="MapReduce" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/MapReduce" title="MapReduce – German" lang="de" hreflang="de" data-title="MapReduce" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/MapReduce" title="MapReduce – Spanish" lang="es" hreflang="es" data-title="MapReduce" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/MapReduce" title="MapReduce – Basque" lang="eu" hreflang="eu" data-title="MapReduce" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%86%DA%AF%D8%A7%D8%B4%D8%AA%E2%80%8C%DA%A9%D8%A7%D9%87%D8%B4" title="نگاشت‌کاهش – Persian" lang="fa" hreflang="fa" data-title="نگاشت‌کاهش" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/MapReduce" title="MapReduce – French" lang="fr" hreflang="fr" data-title="MapReduce" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A7%B5%EB%A6%AC%EB%93%80%EC%8A%A4" title="맵리듀스 – Korean" lang="ko" hreflang="ko" data-title="맵리듀스" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/MapReduce" title="MapReduce – Italian" lang="it" hreflang="it" data-title="MapReduce" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/MapReduce" title="MapReduce – Hungarian" lang="hu" hreflang="hu" data-title="MapReduce" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/MapReduce" title="MapReduce – Dutch" lang="nl" hreflang="nl" data-title="MapReduce" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/MapReduce" title="MapReduce – Japanese" lang="ja" hreflang="ja" data-title="MapReduce" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/MapReduce" title="MapReduce – Polish" lang="pl" hreflang="pl" data-title="MapReduce" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/MapReduce" title="MapReduce – Portuguese" lang="pt" hreflang="pt" data-title="MapReduce" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/MapReduce" title="MapReduce – Romanian" lang="ro" hreflang="ro" data-title="MapReduce" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/MapReduce" title="MapReduce – Russian" lang="ru" hreflang="ru" data-title="MapReduce" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/MapReduce" title="MapReduce – Serbian" lang="sr" hreflang="sr" data-title="MapReduce" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/MapReduce" title="MapReduce – Ukrainian" lang="uk" hreflang="uk" data-title="MapReduce" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/MapReduce" title="MapReduce – Chinese" lang="zh" hreflang="zh" data-title="MapReduce" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q567759#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <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="/wiki/MapReduce" title="View the content page [c]" accesskey="c"><span>Article</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:MapReduce" rel="discussion" title="Discuss improvements to the content page [t]" accesskey="t"><span>Talk</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Change language variant" > <label id="vector-variants-dropdown-label" for="vector-variants-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">English</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </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="/wiki/MapReduce"><span>Read</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=MapReduce&amp;action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=MapReduce&amp;action=history" title="Past revisions of this page [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" > <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" > <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" 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" title="More options" > <div class="vector-menu-heading"> Actions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/MapReduce"><span>Read</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=MapReduce&amp;action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=MapReduce&amp;action=history"><span>View history</span></a></li> </ul> </div> </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="/wiki/Special:WhatLinksHere/MapReduce" title="List of all English Wikipedia pages containing links to this page [j]" accesskey="j"><span>What links here</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:RecentChangesLinked/MapReduce" rel="nofollow" title="Recent changes in pages linked from this page [k]" accesskey="k"><span>Related changes</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Wikipedia:File_Upload_Wizard" title="Upload files [u]" accesskey="u"><span>Upload file</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:SpecialPages" title="A list of all special pages [q]" accesskey="q"><span>Special pages</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=MapReduce&amp;oldid=1257501989" title="Permanent link to this revision of this page"><span>Permanent link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=MapReduce&amp;action=info" title="More information about this page"><span>Page information</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:CiteThisPage&amp;page=MapReduce&amp;id=1257501989&amp;wpFormIdentifier=titleform" title="Information on how to cite this page"><span>Cite this page</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&amp;url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FMapReduce"><span>Get shortened URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&amp;url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FMapReduce"><span>Download QR code</span></a></li> </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="/w/index.php?title=Special:DownloadAsPdf&amp;page=MapReduce&amp;action=show-download-screen" title="Download this page as a PDF file"><span>Download as PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=MapReduce&amp;printable=yes" title="Printable version of this page [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:MapReduce" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q567759" title="Structured data on this page hosted by Wikidata [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"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </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" > <div class="vector-pinnable-header-label">Appearance</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" 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> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" 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-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Parallel programming model</div> <p><b>MapReduce</b> is a <a href="/wiki/Programming_model" title="Programming model">programming model</a> and an associated implementation for processing and generating <a href="/wiki/Big_data" title="Big data">big data</a> sets with a <a href="/wiki/Parallel_computing" title="Parallel computing">parallel</a> and <a href="/wiki/Distributed_computing" title="Distributed computing">distributed</a> algorithm on a <a href="/wiki/Cluster_(computing)" class="mw-redirect" title="Cluster (computing)">cluster</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-GoogleMapReduce_3-0" class="reference"><a href="#cite_note-GoogleMapReduce-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p><p>A MapReduce program is composed of a <a href="/wiki/Map_(parallel_pattern)" title="Map (parallel pattern)"><i>map</i></a> <a href="/wiki/Procedure_(computing)" class="mw-redirect" title="Procedure (computing)">procedure</a>, which performs filtering and sorting (such as sorting students by first name into queues, one queue for each name), and a <i><a href="/wiki/Reduce_(parallel_pattern)" class="mw-redirect" title="Reduce (parallel pattern)">reduce</a></i> method, which performs a summary operation (such as counting the number of students in each queue, yielding name frequencies). The "MapReduce System" (also called "infrastructure" or "framework") orchestrates the processing by <a href="/wiki/Marshalling_(computer_science)" title="Marshalling (computer science)">marshalling</a> the distributed servers, running the various tasks in parallel, managing all communications and data transfers between the various parts of the system, and providing for <a href="/wiki/Redundancy_(engineering)" title="Redundancy (engineering)">redundancy</a> and <a href="/wiki/Fault-tolerant_computer_system" class="mw-redirect" title="Fault-tolerant computer system">fault tolerance</a>. </p><p>The model is a specialization of the <i>split-apply-combine</i> strategy for data analysis.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> It is inspired by the <a href="/wiki/Map_(higher-order_function)" title="Map (higher-order function)">map</a> and <a href="/wiki/Reduce_(higher-order_function)" class="mw-redirect" title="Reduce (higher-order function)">reduce</a> functions commonly used in <a href="/wiki/Functional_programming" title="Functional programming">functional programming</a>,<sup id="cite_ref-map_5-0" class="reference"><a href="#cite_note-map-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> although their purpose in the MapReduce framework is not the same as in their original forms.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> The key contributions of the MapReduce framework are not the actual map and reduce functions (which, for example, resemble the 1995 <a href="/wiki/Message_Passing_Interface" title="Message Passing Interface">Message Passing Interface</a> standard's<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> <i>reduce</i><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup> and <i>scatter</i><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> operations), but the scalability and fault-tolerance achieved for a variety of applications due to parallelization. As such, a <a href="/wiki/Single-threaded" class="mw-redirect" title="Single-threaded">single-threaded</a> implementation of MapReduce is usually not faster than a traditional (non-MapReduce) implementation; any gains are usually only seen with <a href="/wiki/Multi-threaded" class="mw-redirect" title="Multi-threaded">multi-threaded</a> implementations on multi-processor hardware.<sup id="cite_ref-stackoverflow_10-0" class="reference"><a href="#cite_note-stackoverflow-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup> The use of this model is beneficial only when the optimized distributed shuffle operation (which reduces network communication cost) and fault tolerance features of the MapReduce framework come into play. Optimizing the communication cost is essential to a good MapReduce algorithm.<sup id="cite_ref-ullman_11-0" class="reference"><a href="#cite_note-ullman-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup> </p><p>MapReduce <a href="/wiki/Library_(software)" class="mw-redirect" title="Library (software)">libraries</a> have been written in many programming languages, with different levels of optimization. A popular <a href="/wiki/Open-source_software" title="Open-source software">open-source</a> implementation that has support for distributed shuffles is part of <a href="/wiki/Apache_Hadoop" title="Apache Hadoop">Apache Hadoop</a>. The name MapReduce originally referred to the proprietary <a href="/wiki/Google" title="Google">Google</a> technology, but has since been <a href="/wiki/Generic_trademark" title="Generic trademark">genericized</a>. By 2014, Google was no longer using MapReduce as their primary <i><a href="/wiki/Big_data" title="Big data">big data</a></i> processing model,<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup> and development on <a href="/wiki/Apache_Mahout" title="Apache Mahout">Apache Mahout</a> had moved on to more capable and less disk-oriented mechanisms that incorporated full map and reduce capabilities.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">&#91;</span>13<span class="cite-bracket">&#93;</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Overview">Overview</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=1" title="Edit section: Overview"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>MapReduce is a framework for processing <a href="/wiki/Parallel_computing" title="Parallel computing">parallelizable</a> problems across large datasets using a large number of computers (nodes), collectively referred to as a <a href="/wiki/Computer_cluster" title="Computer cluster">cluster</a> (if all nodes are on the same local network and use similar hardware) or a <a href="/wiki/Grid_Computing" class="mw-redirect" title="Grid Computing">grid</a> (if the nodes are shared across geographically and administratively distributed systems, and use more heterogeneous hardware). Processing can occur on data stored either in a <a href="/wiki/Filesystem" class="mw-redirect" title="Filesystem">filesystem</a> (unstructured) or in a <a href="/wiki/Database" title="Database">database</a> (structured). MapReduce can take advantage of the locality of data, processing it near the place it is stored in order to minimize communication overhead. </p><p>A MapReduce framework (or system) is usually composed of three operations (or steps): </p> <ol><li><b>Map:</b> each worker node applies the <code>map</code> function to the local data, and writes the output to a temporary storage. A master node ensures that only one copy of the redundant input data is processed.</li> <li><b>Shuffle:</b> worker nodes redistribute data based on the output keys (produced by the <code>map</code> function), such that all data belonging to one key is located on the same worker node.</li> <li><b>Reduce:</b> worker nodes now process each group of output data, per key, in parallel.</li></ol> <p>MapReduce allows for the distributed processing of the map and reduction operations. Maps can be performed in parallel, provided that each mapping operation is independent of the others; in practice, this is limited by the number of independent data sources and/or the number of CPUs near each source. Similarly, a set of 'reducers' can perform the reduction phase, provided that all outputs of the map operation that share the same key are presented to the same reducer at the same time, or that the reduction function is <a href="/wiki/Associative_property" title="Associative property">associative</a>. While this process often appears inefficient compared to algorithms that are more sequential (because multiple instances of the reduction process must be run), MapReduce can be applied to significantly larger datasets than a single <a href="/wiki/Commodity_computing" title="Commodity computing">"commodity" server</a> can handle&#160;&#8211; a large <a href="/wiki/Server_farm" title="Server farm">server farm</a> can use MapReduce to sort a <a href="/wiki/Petabyte" class="mw-redirect" title="Petabyte">petabyte</a> of data in only a few hours.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">&#91;</span>14<span class="cite-bracket">&#93;</span></a></sup> The parallelism also offers some possibility of recovering from partial failure of servers or storage during the operation: if one mapper or reducer fails, the work can be rescheduled&#160;&#8211; assuming the input data are still available. </p><p>Another way to look at MapReduce is as a 5-step parallel and distributed computation: </p> <ol><li><b>Prepare the Map() input</b> – the "MapReduce system" designates Map processors, assigns the input key <i>K1</i> that each processor would work on, and provides that processor with all the input data associated with that key.</li> <li><b>Run the user-provided Map() code</b> – Map() is run exactly once for each <i>K1</i> key, generating output organized by key <i>K2</i>.</li> <li><b>"Shuffle" the Map output to the Reduce processors</b> – the MapReduce system designates Reduce processors, assigns the <i>K2</i> key each processor should work on, and provides that processor with all the Map-generated data associated with that key.</li> <li><b>Run the user-provided Reduce() code</b> – Reduce() is run exactly once for each <i>K2</i> key produced by the Map step.</li> <li><b>Produce the final output</b> – the MapReduce system collects all the Reduce output, and sorts it by <i>K2</i> to produce the final outcome.</li></ol> <p>These five steps can be logically thought of as running in sequence – each step starts only after the previous step is completed – although in practice they can be interleaved as long as the final result is not affected. </p><p>In many situations, the input data might have already been distributed (<a href="/wiki/Shard_(database_architecture)" title="Shard (database architecture)">"sharded"</a>) among many different servers, in which case step 1 could sometimes be greatly simplified by assigning Map servers that would process the locally present input data. Similarly, step 3 could sometimes be sped up by assigning Reduce processors that are as close as possible to the Map-generated data they need to process. </p> <div class="mw-heading mw-heading2"><h2 id="Logical_view">Logical view</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=2" title="Edit section: Logical view"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The <i>Map</i> and <i>Reduce</i> functions of <i>MapReduce</i> are both defined with respect to data structured in (key, value) pairs. <i>Map</i> takes one pair of data with a type in one <a href="/wiki/Data_domain" title="Data domain">data domain</a>, and returns a list of pairs in a different domain: </p><p><code>Map(k1,v1)</code> → <code>list(k2,v2)</code> </p><p>The <i>Map</i> function is applied in parallel to every pair (keyed by <code>k1</code>) in the input dataset. This produces a list of pairs (keyed by <code>k2</code>) for each call. After that, the MapReduce framework collects all pairs with the same key (<code>k2</code>) from all lists and groups them together, creating one group for each key. </p><p>The <i>Reduce</i> function is then applied in parallel to each group, which in turn produces a collection of values in the same domain: </p><p><code>Reduce(k2, list (v2))</code> → <code>list((k3, v3))</code><sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">&#91;</span>15<span class="cite-bracket">&#93;</span></a></sup> </p><p>Each <i>Reduce</i> call typically produces either one key value pair or an empty return, though one call is allowed to return more than one key value pair. The returns of all calls are collected as the desired result list. </p><p>Thus the MapReduce framework transforms a list of (key, value) pairs into another list of (key, value) pairs.<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">&#91;</span>16<span class="cite-bracket">&#93;</span></a></sup> This behavior is different from the typical functional programming map and reduce combination, which accepts a list of arbitrary values and returns one single value that combines <i>all</i> the values returned by map. </p><p>It is <a href="/wiki/Necessity_and_sufficiency" title="Necessity and sufficiency">necessary but not sufficient</a> to have implementations of the map and reduce abstractions in order to implement MapReduce. Distributed implementations of MapReduce require a means of connecting the processes performing the Map and Reduce phases. This may be a <a href="/wiki/Distributed_file_system" class="mw-redirect" title="Distributed file system">distributed file system</a>. Other options are possible, such as direct streaming from mappers to reducers, or for the mapping processors to serve up their results to reducers that query them. </p> <div class="mw-heading mw-heading3"><h3 id="Examples">Examples</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=3" title="Edit section: Examples"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The canonical MapReduce example counts the appearance of each word in a set of documents:<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">&#91;</span>17<span class="cite-bracket">&#93;</span></a></sup> </p> <pre><b>function</b> <u>map</u>(String name, String document): <i>// name: document name</i> <i>// document: document contents</i> <b>for each</b> word w <b>in</b> document: emit (w, 1) <b>function</b> <u>reduce</u>(String word, Iterator partialCounts): <i>// word: a word</i> <i>// partialCounts: a list of aggregated partial counts</i> sum = 0 <b>for each</b> pc <b>in</b> partialCounts: sum += pc emit (word, sum) </pre> <p>Here, each document is split into words, and each word is counted by the <i>map</i> function, using the word as the result key. The framework puts together all the pairs with the same key and feeds them to the same call to <i>reduce</i>. Thus, this function just needs to sum all of its input values to find the total appearances of that word. </p><p>As another example, imagine that for a database of 1.1 billion people, one would like to compute the average number of social contacts a person has according to age. In <a href="/wiki/SQL" title="SQL">SQL</a>, such a query could be expressed as: </p> <div class="mw-highlight mw-highlight-lang-sql mw-content-ltr" dir="ltr"><pre><span></span><span class="w"> </span><span class="k">SELECT</span><span class="w"> </span><span class="n">age</span><span class="p">,</span><span class="w"> </span><span class="k">AVG</span><span class="p">(</span><span class="n">contacts</span><span class="p">)</span> <span class="w"> </span><span class="k">FROM</span><span class="w"> </span><span class="n">social</span><span class="p">.</span><span class="n">person</span> <span class="k">GROUP</span><span class="w"> </span><span class="k">BY</span><span class="w"> </span><span class="n">age</span> <span class="k">ORDER</span><span class="w"> </span><span class="k">BY</span><span class="w"> </span><span class="n">age</span> </pre></div> <p>Using MapReduce, the <style data-mw-deduplicate="TemplateStyles:r886049734">.mw-parser-output .monospaced{font-family:monospace,monospace}</style><span class="monospaced">K1</span> key values could be the integers 1 through 1100, each representing a batch of 1 million records, the <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">K2</span> key value could be a person's age in years, and this computation could be achieved using the following functions: </p> <pre><b>function</b> Map <b>is</b> <b>input:</b> <b>integer</b> K1 between 1 and 1100, representing a batch of 1 million social.person records <b>for each</b> social.person record in the K1 batch <b>do</b> <b>let</b> Y be the person's age <b>let</b> N be the number of contacts the person has <b>produce one output record</b> (Y,(N,1)) <b>repeat</b> <b>end function</b> <b>function</b> Reduce <b>is</b> <b>input:</b> age (in years) Y <b>for each</b> input record (Y,(N,C)) <b>do</b> Accumulate in S the sum of N*C Accumulate in C<sub>new</sub> the sum of C <b>repeat</b> <b>let</b> A be S/C<sub>new</sub> <b>produce one output record</b> (Y,(A,C<sub>new</sub>)) <b>end function</b> </pre> <p>Note that in the <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">Reduce</span> function, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">C</span> is the count of people having in total N contacts, so in the <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">Map</span> function it is natural to write <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">C=1</span>, since every output pair is referring to the contacts of one single person. </p><p>The MapReduce system would line up the 1100 Map processors, and would provide each with its corresponding 1 million input records. The Map step would produce 1.1 billion <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">(Y,(N,1))</span> records, with <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">Y</span> values ranging between, say, 8 and 103. The MapReduce System would then line up the 96 Reduce processors by performing shuffling operation of the key/value pairs due to the fact that we need average per age, and provide each with its millions of corresponding input records. The Reduce step would result in the much reduced set of only 96 output records <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">(Y,A)</span>, which would be put in the final result file, sorted by <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">Y</span>. </p><p>The count info in the record is important if the processing is reduced more than one time. If we did not add the count of the records, the computed average would be wrong, for example: </p> <pre><i>-- map output #1: age, quantity of contacts</i> 10, 9 10, 9 10, 9 </pre> <pre><i>-- map output #2: age, quantity of contacts</i> 10, 9 10, 9 </pre> <pre><i>-- map output #3: age, quantity of contacts</i> 10, 10 </pre> <p>If we reduce files <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">#1</span> and <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">#2</span>, we will have a new file with an average of 9 contacts for a 10-year-old person ((9+9+9+9+9)/5): </p> <pre><i>-- reduce step #1: age, average of contacts</i> 10, 9 </pre> <p>If we reduce it with file <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r886049734"><span class="monospaced">#3</span>, we lose the count of how many records we've already seen, so we end up with an average of 9.5 contacts for a 10-year-old person ((9+10)/2), which is wrong. The correct answer is 9.1<span style="text-decoration: overline;">66</span> = 55 / 6 = (9×3+9×2+10×1)/(3+2+1). </p> <div class="mw-heading mw-heading2"><h2 id="Dataflow">Dataflow</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=4" title="Edit section: Dataflow"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Software_framework#Architecture" title="Software framework">Software framework architecture</a> adheres to <a href="/wiki/Open-closed_principle" class="mw-redirect" title="Open-closed principle">open-closed principle</a> where code is effectively divided into unmodifiable <i>frozen spots</i> and <a href="/wiki/Extensibility" title="Extensibility">extensible</a> <i>hot spots</i>. The frozen spot of the MapReduce framework is a large distributed sort. The hot spots, which the application defines, are: </p> <ul><li>an <i>input reader</i></li> <li>a <i>Map</i> function</li> <li>a <i>partition</i> function</li> <li>a <i>compare</i> function</li> <li>a <i>Reduce</i> function</li> <li>an <i>output writer</i></li></ul> <div class="mw-heading mw-heading3"><h3 id="Input_reader">Input reader</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=5" title="Edit section: Input reader"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The <i>input reader</i> divides the input into appropriate size 'splits' (in practice, typically, 64&#160;MB to 128&#160;MB) and the framework assigns one split to each <i>Map</i> function. The <i>input reader</i> reads data from stable storage (typically, a <a href="/wiki/Distributed_file_system" class="mw-redirect" title="Distributed file system">distributed file system</a>) and generates key/value pairs. </p><p>A common example will read a directory full of text files and return each line as a record. </p> <div class="mw-heading mw-heading3"><h3 id="Map_function">Map function</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=6" title="Edit section: Map function"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The <i>Map</i> function takes a series of key/value pairs, processes each, and generates zero or more output key/value pairs. The input and output types of the map can be (and often are) different from each other. </p><p>If the application is doing a word count, the map function would break the line into words and output a key/value pair for each word. Each output pair would contain the word as the key and the number of instances of that word in the line as the value. </p> <div class="mw-heading mw-heading3"><h3 id="Partition_function">Partition function</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=7" title="Edit section: Partition function"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Each <i>Map</i> function output is allocated to a particular <i>reducer</i> by the application's <i>partition</i> function for <a href="/wiki/Sharding" class="mw-redirect" title="Sharding">sharding</a> purposes. The <i>partition</i> function is given the key and the number of reducers and returns the index of the desired <i>reducer</i>. </p><p>A typical default is to <a href="/wiki/Hash_function" title="Hash function">hash</a> the key and use the hash value <a href="/wiki/Modulo_operation" class="mw-redirect" title="Modulo operation">modulo</a> the number of <i>reducers</i>. It is important to pick a partition function that gives an approximately uniform distribution of data per shard for <a href="/wiki/Load_balancing_(computing)" title="Load balancing (computing)">load-balancing</a> purposes, otherwise the MapReduce operation can be held up waiting for slow reducers to finish (i.e. the reducers assigned the larger shares of the non-uniformly partitioned data). </p><p>Between the map and reduce stages, the data are <i>shuffled</i> (parallel-sorted / exchanged between nodes) in order to move the data from the map node that produced them to the shard in which they will be reduced. The shuffle can sometimes take longer than the computation time depending on network bandwidth, CPU speeds, data produced and time taken by map and reduce computations. </p> <div class="mw-heading mw-heading3"><h3 id="Comparison_function">Comparison function</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=8" title="Edit section: Comparison function"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The input for each <i>Reduce</i> is pulled from the machine where the <i>Map</i> ran and sorted using the application's <i>comparison</i> function. </p> <div class="mw-heading mw-heading3"><h3 id="Reduce_function">Reduce function</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=9" title="Edit section: Reduce function"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The framework calls the application's <i>Reduce</i> function once for each unique key in the sorted order. The <i>Reduce</i> can iterate through the values that are associated with that key and produce zero or more outputs. </p><p>In the word count example, the <i>Reduce</i> function takes the input values, sums them and generates a single output of the word and the final sum. </p> <div class="mw-heading mw-heading3"><h3 id="Output_writer">Output writer</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=10" title="Edit section: Output writer"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The <i>Output Writer</i> writes the output of the <i>Reduce</i> to the stable storage. </p> <div class="mw-heading mw-heading2"><h2 id="Theoretical_background">Theoretical background</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=11" title="Edit section: Theoretical background"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Properties of <a href="/wiki/Monoid" title="Monoid">monoids</a> are the basis for ensuring the validity of MapReduce operations.<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">&#91;</span>18<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">&#91;</span>19<span class="cite-bracket">&#93;</span></a></sup> </p><p>In the Algebird package<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">&#91;</span>20<span class="cite-bracket">&#93;</span></a></sup> a Scala implementation of Map/Reduce explicitly requires a monoid class type .<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">&#91;</span>21<span class="cite-bracket">&#93;</span></a></sup> </p><p>The operations of MapReduce deal with two types: the type <i>A</i> of input data being mapped, and the type <i>B</i> of output data being reduced. </p><p>The <i>Map</i> operation takes individual values of type <i>A</i> and produces, for each <i>a:A</i> a value <i>b:B</i>; The <i>Reduce</i> operation requires a binary operation • defined on values of type <i>B</i>; it consists of folding all available <i>b:B</i> to a single value. </p><p>From a basic requirements point of view, any MapReduce operation must involve the ability to arbitrarily regroup data being reduced. Such a requirement amounts to two properties of the operation •: </p> <ul><li>associativity: (<i>x</i> • <i>y</i>) • <i>z</i> = <i>x</i> • (<i>y</i> • <i>z</i>)</li> <li>existence of neutral element <i>e</i> such that <i>e</i> • <i>x</i> = <i>x</i> • <i>e</i> = <i>x</i> for every <i>x:B</i>.</li></ul> <p>The second property guarantees that, when parallelized over multiple nodes, the nodes that don't have any data to process would have no impact on the result. </p><p>These two properties amount to having a <a href="/wiki/Monoid" title="Monoid">monoid</a> (<i>B</i>, •, <i>e</i>) on values of type <i>B</i> with operation • and with neutral element <i>e</i>. </p><p>There's no requirements on the values of type <i>A</i>; an arbitrary function <i>A</i> &#8594; <i>B</i> can be used for the <i>Map</i> operation. This means that we have a <a href="/wiki/Catamorphism" title="Catamorphism">catamorphism</a> <i>A*</i> &#8594; (<i>B</i>, •, <i>e</i>). Here <i>A*</i> denotes a <a href="/wiki/Kleene_star" title="Kleene star">Kleene star</a>, also known as the type of lists over <i>A</i>. </p><p>The <i>Shuffle</i> operation per se is not related to the essence of MapReduce; it's needed to distribute calculations over the cloud. </p><p>It follows from the above that not every binary <i>Reduce</i> operation will work in MapReduce. Here are the counter-examples: </p> <ul><li>building a tree from subtrees: this operation is not associative, and the result will depend on grouping;</li> <li>direct calculation of averages: <i>avg</i> is also not associative (and it has no neutral element); to calculate an average, one needs to calculate <a href="/wiki/Moment_(mathematics)" title="Moment (mathematics)">moments</a>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Performance_considerations">Performance considerations</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=12" title="Edit section: Performance considerations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>MapReduce programs are not guaranteed to be fast. The main benefit of this programming model is to exploit the optimized shuffle operation of the platform, and only having to write the <i>Map</i> and <i>Reduce</i> parts of the program. In practice, the author of a MapReduce program however has to take the shuffle step into consideration; in particular the partition function and the amount of data written by the <i>Map</i> function can have a large impact on the performance and scalability. Additional modules such as the <i>Combiner</i> function can help to reduce the amount of data written to disk, and transmitted over the network. MapReduce applications can achieve sub-linear speedups under specific circumstances.<sup id="cite_ref-:0_22-0" class="reference"><a href="#cite_note-:0-22"><span class="cite-bracket">&#91;</span>22<span class="cite-bracket">&#93;</span></a></sup> </p><p>When designing a MapReduce algorithm, the author needs to choose a good tradeoff<sup id="cite_ref-ullman_11-1" class="reference"><a href="#cite_note-ullman-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup> between the computation and the communication costs. Communication cost often dominates the computation cost,<sup id="cite_ref-ullman_11-2" class="reference"><a href="#cite_note-ullman-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-:0_22-1" class="reference"><a href="#cite_note-:0-22"><span class="cite-bracket">&#91;</span>22<span class="cite-bracket">&#93;</span></a></sup> and many MapReduce implementations are designed to write all communication to distributed storage for crash recovery. </p><p>In tuning performance of MapReduce, the complexity of mapping, shuffle, sorting (grouping by the key), and reducing has to be taken into account. The amount of data produced by the mappers is a key parameter that shifts the bulk of the computation cost between mapping and reducing. Reducing includes sorting (grouping of the keys) which has nonlinear complexity. Hence, small partition sizes reduce sorting time, but there is a trade-off because having a large number of reducers may be impractical. The influence of split unit size is marginal (unless chosen particularly badly, say &lt;1MB). The gains from some mappers reading load from local disks, on average, is minor.<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">&#91;</span>23<span class="cite-bracket">&#93;</span></a></sup> </p><p>For processes that complete quickly, and where the data fits into main memory of a single machine or a small cluster, using a MapReduce framework usually is not effective. Since these frameworks are designed to recover from the loss of whole nodes during the computation, they write interim results to distributed storage. This crash recovery is expensive, and only pays off when the computation involves many computers and a long runtime of the computation. A task that completes in seconds can just be restarted in the case of an error, and the likelihood of at least one machine failing grows quickly with the cluster size. On such problems, implementations keeping all data in memory and simply restarting a computation on node failures or —when the data is small enough— non-distributed solutions will often be faster than a MapReduce system. </p> <div class="mw-heading mw-heading2"><h2 id="Distribution_and_reliability">Distribution and reliability</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=13" title="Edit section: Distribution and reliability"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>MapReduce achieves reliability by parceling out a number of operations on the set of data to each node in the network. Each node is expected to report back periodically with completed work and status updates. If a node falls silent for longer than that interval, the master node (similar to the master server in the <a href="/wiki/Google_File_System" title="Google File System">Google File System</a>) records the node as dead and sends out the node's assigned work to other nodes. Individual operations use <a href="/wiki/Atomicity_(programming)" class="mw-redirect" title="Atomicity (programming)">atomic</a> operations for naming file outputs as a check to ensure that there are not parallel conflicting threads running. When files are renamed, it is possible to also copy them to another name in addition to the name of the task (allowing for <a href="/wiki/Side-effect_(computer_science)" class="mw-redirect" title="Side-effect (computer science)">side-effects</a>). </p><p>The reduce operations operate much the same way. Because of their inferior properties with regard to parallel operations, the master node attempts to schedule reduce operations on the same node, or in the same rack as the node holding the data being operated on. This property is desirable as it conserves bandwidth across the backbone network of the datacenter. </p><p>Implementations are not necessarily highly reliable. For example, in older versions of <a href="/wiki/Hadoop" class="mw-redirect" title="Hadoop">Hadoop</a> the <i>NameNode</i> was a <a href="/wiki/Single_point_of_failure" title="Single point of failure">single point of failure</a> for the distributed filesystem. Later versions of Hadoop have high availability with an active/passive failover for the "NameNode." </p> <div class="mw-heading mw-heading2"><h2 id="Uses">Uses</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=14" title="Edit section: Uses"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>MapReduce is useful in a wide range of applications, including distributed pattern-based searching, distributed sorting, web link-graph reversal, Singular Value Decomposition,<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">&#91;</span>24<span class="cite-bracket">&#93;</span></a></sup> web access log stats, <a href="/wiki/Inverted_index" title="Inverted index">inverted index</a> construction, <a href="/wiki/Document_clustering" title="Document clustering">document clustering</a>, <a href="/wiki/Machine_learning" title="Machine learning">machine learning</a>,<sup id="cite_ref-mrml_25-0" class="reference"><a href="#cite_note-mrml-25"><span class="cite-bracket">&#91;</span>25<span class="cite-bracket">&#93;</span></a></sup> and <a href="/wiki/Statistical_machine_translation" title="Statistical machine translation">statistical machine translation</a>. Moreover, the MapReduce model has been adapted to several computing environments like multi-core and many-core systems,<sup id="cite_ref-evalMR_26-0" class="reference"><a href="#cite_note-evalMR-26"><span class="cite-bracket">&#91;</span>26<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-graphicsMR_27-0" class="reference"><a href="#cite_note-graphicsMR-27"><span class="cite-bracket">&#91;</span>27<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-tiledMR_28-0" class="reference"><a href="#cite_note-tiledMR-28"><span class="cite-bracket">&#91;</span>28<span class="cite-bracket">&#93;</span></a></sup> desktop grids,<sup id="cite_ref-gridMR_29-0" class="reference"><a href="#cite_note-gridMR-29"><span class="cite-bracket">&#91;</span>29<span class="cite-bracket">&#93;</span></a></sup> multi-cluster,<sup id="cite_ref-HMR_30-0" class="reference"><a href="#cite_note-HMR-30"><span class="cite-bracket">&#91;</span>30<span class="cite-bracket">&#93;</span></a></sup> volunteer computing environments,<sup id="cite_ref-volunteerMR_31-0" class="reference"><a href="#cite_note-volunteerMR-31"><span class="cite-bracket">&#91;</span>31<span class="cite-bracket">&#93;</span></a></sup> dynamic cloud environments,<sup id="cite_ref-dynCloudMR_32-0" class="reference"><a href="#cite_note-dynCloudMR-32"><span class="cite-bracket">&#91;</span>32<span class="cite-bracket">&#93;</span></a></sup> mobile environments,<sup id="cite_ref-mobileMR_33-0" class="reference"><a href="#cite_note-mobileMR-33"><span class="cite-bracket">&#91;</span>33<span class="cite-bracket">&#93;</span></a></sup> and high-performance computing environments.<sup id="cite_ref-34" class="reference"><a href="#cite_note-34"><span class="cite-bracket">&#91;</span>34<span class="cite-bracket">&#93;</span></a></sup> </p><p>At Google, MapReduce was used to completely regenerate Google's index of the <a href="/wiki/World_Wide_Web" title="World Wide Web">World Wide Web</a>. It replaced the old <i>ad hoc</i> programs that updated the index and ran the various analyses.<sup id="cite_ref-usage_35-0" class="reference"><a href="#cite_note-usage-35"><span class="cite-bracket">&#91;</span>35<span class="cite-bracket">&#93;</span></a></sup> Development at Google has since moved on to technologies such as Percolator, FlumeJava<sup id="cite_ref-Chambers2010_36-0" class="reference"><a href="#cite_note-Chambers2010-36"><span class="cite-bracket">&#91;</span>36<span class="cite-bracket">&#93;</span></a></sup> and <a href="/wiki/Google_MillWheel" class="mw-redirect" title="Google MillWheel">MillWheel</a> that offer streaming operation and updates instead of batch processing, to allow integrating "live" search results without rebuilding the complete index.<sup id="cite_ref-37" class="reference"><a href="#cite_note-37"><span class="cite-bracket">&#91;</span>37<span class="cite-bracket">&#93;</span></a></sup> </p><p>MapReduce's stable inputs and outputs are usually stored in a <a href="/wiki/Distributed_file_system" class="mw-redirect" title="Distributed file system">distributed file system</a>. The transient data are usually stored on local disk and fetched remotely by the reducers. </p> <div class="mw-heading mw-heading2"><h2 id="Criticism">Criticism</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=15" title="Edit section: Criticism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Lack_of_novelty">Lack of novelty</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=16" title="Edit section: Lack of novelty"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/David_DeWitt" title="David DeWitt">David DeWitt</a> and <a href="/wiki/Michael_Stonebraker" title="Michael Stonebraker">Michael Stonebraker</a>, computer scientists specializing in <a href="/wiki/Parallel_database" title="Parallel database">parallel databases</a> and <a href="/wiki/Shared-nothing_architecture" title="Shared-nothing architecture">shared-nothing architectures</a>, have been critical of the breadth of problems that MapReduce can be used for.<sup id="cite_ref-shark_38-0" class="reference"><a href="#cite_note-shark-38"><span class="cite-bracket">&#91;</span>38<span class="cite-bracket">&#93;</span></a></sup> They called its interface too low-level and questioned whether it really represents the <a href="/wiki/Paradigm_shift" title="Paradigm shift">paradigm shift</a> its proponents have claimed it is.<sup id="cite_ref-ddandms1_39-0" class="reference"><a href="#cite_note-ddandms1-39"><span class="cite-bracket">&#91;</span>39<span class="cite-bracket">&#93;</span></a></sup> They challenged the MapReduce proponents' claims of novelty, citing <a href="/wiki/Teradata" title="Teradata">Teradata</a> as an example of <a href="/wiki/Prior_art" title="Prior art">prior art</a> that has existed for over two decades. They also compared MapReduce programmers to <a href="/wiki/CODASYL" title="CODASYL">CODASYL</a> programmers, noting both are "writing in a <a href="/wiki/Low-level_programming_language" title="Low-level programming language">low-level language</a> performing low-level record manipulation."<sup id="cite_ref-ddandms1_39-1" class="reference"><a href="#cite_note-ddandms1-39"><span class="cite-bracket">&#91;</span>39<span class="cite-bracket">&#93;</span></a></sup> MapReduce's use of input files and lack of <a href="/wiki/Logical_schema" title="Logical schema">schema</a> support prevents the performance improvements enabled by common database system features such as <a href="/wiki/B-tree" title="B-tree">B-trees</a> and <a href="/wiki/Partition_(database)" title="Partition (database)">hash partitioning</a>, though projects such as <a href="/wiki/Pig_(programming_language)" class="mw-redirect" title="Pig (programming language)">Pig (or PigLatin)</a>, <a href="/wiki/Sawzall_(programming_language)" title="Sawzall (programming language)">Sawzall</a>, <a href="/wiki/Apache_Hive" title="Apache Hive">Apache Hive</a>,<sup id="cite_ref-ApacheHiveWiki_40-0" class="reference"><a href="#cite_note-ApacheHiveWiki-40"><span class="cite-bracket">&#91;</span>40<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/HBase" class="mw-redirect" title="HBase">HBase</a><sup id="cite_ref-HBase_41-0" class="reference"><a href="#cite_note-HBase-41"><span class="cite-bracket">&#91;</span>41<span class="cite-bracket">&#93;</span></a></sup> and <a href="/wiki/Bigtable" title="Bigtable">Bigtable</a><sup id="cite_ref-HBase_41-1" class="reference"><a href="#cite_note-HBase-41"><span class="cite-bracket">&#91;</span>41<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-BigtablePaper_42-0" class="reference"><a href="#cite_note-BigtablePaper-42"><span class="cite-bracket">&#91;</span>42<span class="cite-bracket">&#93;</span></a></sup> are addressing some of these problems. </p><p>Greg Jorgensen wrote an article rejecting these views.<sup id="cite_ref-gj1_43-0" class="reference"><a href="#cite_note-gj1-43"><span class="cite-bracket">&#91;</span>43<span class="cite-bracket">&#93;</span></a></sup> Jorgensen asserts that DeWitt and Stonebraker's entire analysis is groundless as MapReduce was never designed nor intended to be used as a database. </p><p>DeWitt and Stonebraker have subsequently published a detailed benchmark study in 2009 comparing performance of <a href="/wiki/Hadoop" class="mw-redirect" title="Hadoop">Hadoop's</a> MapReduce and <a href="/wiki/RDBMS" class="mw-redirect" title="RDBMS">RDBMS</a> approaches on several specific problems.<sup id="cite_ref-sigmod_44-0" class="reference"><a href="#cite_note-sigmod-44"><span class="cite-bracket">&#91;</span>44<span class="cite-bracket">&#93;</span></a></sup> They concluded that relational databases offer real advantages for many kinds of data use, especially on complex processing or where the data is used across an enterprise, but that MapReduce may be easier for users to adopt for simple or one-time processing tasks. </p><p>The MapReduce programming paradigm was also described in <a href="/wiki/Danny_Hillis" title="Danny Hillis">Danny Hillis</a>'s 1985 thesis <sup id="cite_ref-WDHmit86_45-0" class="reference"><a href="#cite_note-WDHmit86-45"><span class="cite-bracket">&#91;</span>45<span class="cite-bracket">&#93;</span></a></sup> intended for use on the <a href="/wiki/Connection_Machine" title="Connection Machine">Connection Machine</a>, where it was called "xapping/reduction"<sup id="cite_ref-46" class="reference"><a href="#cite_note-46"><span class="cite-bracket">&#91;</span>46<span class="cite-bracket">&#93;</span></a></sup> and relied upon that machine's special hardware to accelerate both map and reduce. The dialect ultimately used for the Connection Machine, the 1986 <a href="/wiki/StarLisp" class="mw-redirect" title="StarLisp">StarLisp</a>, had parallel <code>*map</code> and <code>reduce!!</code>,<sup id="cite_ref-47" class="reference"><a href="#cite_note-47"><span class="cite-bracket">&#91;</span>47<span class="cite-bracket">&#93;</span></a></sup> which in turn was based on the 1984 <a href="/wiki/Common_Lisp" title="Common Lisp">Common Lisp</a>, which had non-parallel <code>map</code> and <code>reduce</code> built in.<sup id="cite_ref-48" class="reference"><a href="#cite_note-48"><span class="cite-bracket">&#91;</span>48<span class="cite-bracket">&#93;</span></a></sup> The <a href="/wiki/Fold_(higher-order_function)#Linear_vs._tree-like_folds" title="Fold (higher-order function)">tree-like</a> approach that the Connection Machine's <a href="/wiki/Hypercube_internetwork_topology" title="Hypercube internetwork topology">hypercube architecture</a> uses to execute <code>reduce</code> in <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle O(\log n)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>O</mi> <mo stretchy="false">(</mo> <mi>log</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mi>n</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle O(\log n)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aae0f22048ba6b7c05dbae17b056bfa16e21807d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.336ex; height:2.843ex;" alt="{\displaystyle O(\log n)}"></span> time<sup id="cite_ref-49" class="reference"><a href="#cite_note-49"><span class="cite-bracket">&#91;</span>49<span class="cite-bracket">&#93;</span></a></sup> is effectively the same as the approach referred to within the Google paper as prior work.<sup id="cite_ref-GoogleMapReduce_3-1" class="reference"><a href="#cite_note-GoogleMapReduce-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup><sup class="reference nowrap">&#58;&#8202;<span title="Page: 11&#10;Quotation: &quot;an associative function can be computed over all prefixes of an N element array in log N time on N processors using parallel prefix computations. MapReduce can be considered a simplification and distillation of some of these models&quot;" class="tooltip tooltip-dashed" style="border-bottom: 1px dashed;">11</span>&#8202;</sup> </p><p>In 2010 Google was granted what is described as a patent on MapReduce. The patent, filed in 2004, may cover use of MapReduce by open source software such as <a href="/wiki/Hadoop" class="mw-redirect" title="Hadoop">Hadoop</a>, <a href="/wiki/CouchDB" class="mw-redirect" title="CouchDB">CouchDB</a>, and others. In <i><a href="/wiki/Ars_Technica" title="Ars Technica">Ars Technica</a></i>, an editor acknowledged Google's role in popularizing the MapReduce concept, but questioned whether the patent was valid or novel.<sup id="cite_ref-50" class="reference"><a href="#cite_note-50"><span class="cite-bracket">&#91;</span>50<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-patent_51-0" class="reference"><a href="#cite_note-patent-51"><span class="cite-bracket">&#91;</span>51<span class="cite-bracket">&#93;</span></a></sup> In 2013, as part of its "Open Patent Non-Assertion (OPN) Pledge", Google pledged to only use the patent defensively.<sup id="cite_ref-52" class="reference"><a href="#cite_note-52"><span class="cite-bracket">&#91;</span>52<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-53" class="reference"><a href="#cite_note-53"><span class="cite-bracket">&#91;</span>53<span class="cite-bracket">&#93;</span></a></sup> The patent is expected to expire on 23 December 2026.<sup id="cite_ref-54" class="reference"><a href="#cite_note-54"><span class="cite-bracket">&#91;</span>54<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Restricted_programming_framework">Restricted programming framework</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=17" title="Edit section: Restricted programming framework"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>MapReduce tasks must be written as acyclic dataflow programs, i.e. a stateless mapper followed by a stateless reducer, that are executed by a batch job scheduler. This paradigm makes repeated querying of datasets difficult and imposes limitations that are felt in fields such as <a href="/wiki/Graph_(abstract_data_type)" title="Graph (abstract data type)">graph</a> processing<sup id="cite_ref-55" class="reference"><a href="#cite_note-55"><span class="cite-bracket">&#91;</span>55<span class="cite-bracket">&#93;</span></a></sup> where iterative algorithms that revisit a single <a href="/wiki/Working_set" title="Working set">working set</a> multiple times are the norm, as well as, in the presence of <a href="/wiki/Hard_disk_drive" title="Hard disk drive">disk</a>-based data with high <a href="/wiki/Latency_(engineering)#Mechanics" title="Latency (engineering)">latency</a>, even the field of <a href="/wiki/Machine_learning" title="Machine learning">machine learning</a> where multiple passes through the data are required even though algorithms can tolerate serial access to the data each pass.<sup id="cite_ref-56" class="reference"><a href="#cite_note-56"><span class="cite-bracket">&#91;</span>56<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=18" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Bird%E2%80%93Meertens_formalism" title="Bird–Meertens formalism">Bird–Meertens formalism</a></li> <li><a href="/wiki/Parallelization_contract" title="Parallelization contract">Parallelization contract</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Implementations_of_MapReduce">Implementations of MapReduce</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=19" title="Edit section: Implementations of MapReduce"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Apache_CouchDB" title="Apache CouchDB">Apache CouchDB</a></li> <li><a href="/wiki/Apache_Hadoop" title="Apache Hadoop">Apache Hadoop</a></li> <li><a href="/wiki/Infinispan" title="Infinispan">Infinispan</a></li> <li><a href="/wiki/Riak" title="Riak">Riak</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=MapReduce&amp;action=edit&amp;section=20" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-columns references-column-width" style="column-width: 30em;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.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("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://hadoop.apache.org/docs/r1.2.1/mapred_tutorial.html">"MapReduce Tutorial"</a>. <i>Apache Hadoop</i><span class="reference-accessdate">. Retrieved <span class="nowrap">3 July</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=Apache+Hadoop&amp;rft.atitle=MapReduce+Tutorial&amp;rft_id=https%3A%2F%2Fhadoop.apache.org%2Fdocs%2Fr1.2.1%2Fmapred_tutorial.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</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://web.archive.org/web/20131019063218/http://news.cnet.com/8301-10784_3-9955184-7.html">"Google spotlights data center inner workings"</a>. <i>cnet.com</i>. 30 May 2008. Archived from <a rel="nofollow" class="external text" href="http://news.cnet.com/8301-10784_3-9955184-7.html">the original</a> on 19 October 2013<span class="reference-accessdate">. Retrieved <span class="nowrap">31 May</span> 2008</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=cnet.com&amp;rft.atitle=Google+spotlights+data+center+inner+workings&amp;rft.date=2008-05-30&amp;rft_id=http%3A%2F%2Fnews.cnet.com%2F8301-10784_3-9955184-7.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-GoogleMapReduce-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-GoogleMapReduce_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-GoogleMapReduce_3-1"><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 class="citation web cs1"><a rel="nofollow" class="external text" href="http://static.googleusercontent.com/media/research.google.com/es/us/archive/mapreduce-osdi04.pdf">"MapReduce: Simplified Data Processing on Large Clusters"</a> <span class="cs1-format">(PDF)</span>. <i>googleusercontent.com</i>.</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=googleusercontent.com&amp;rft.atitle=MapReduce%3A+Simplified+Data+Processing+on+Large+Clusters&amp;rft_id=http%3A%2F%2Fstatic.googleusercontent.com%2Fmedia%2Fresearch.google.com%2Fes%2Fus%2Farchive%2Fmapreduce-osdi04.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWickham2011" class="citation journal cs1">Wickham, Hadley (2011). <a rel="nofollow" class="external text" href="https://doi.org/10.18637%2Fjss.v040.i01">"The split-apply-combine strategy for data analysis"</a>. <i>Journal of Statistical Software</i>. <b>40</b>: 1–29. <a href="/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/10.18637%2Fjss.v040.i01">10.18637/jss.v040.i01</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=Journal+of+Statistical+Software&amp;rft.atitle=The+split-apply-combine+strategy+for+data+analysis&amp;rft.volume=40&amp;rft.pages=1-29&amp;rft.date=2011&amp;rft_id=info%3Adoi%2F10.18637%2Fjss.v040.i01&amp;rft.aulast=Wickham&amp;rft.aufirst=Hadley&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.18637%252Fjss.v040.i01&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-map-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-map_5-0">^</a></b></span> <span class="reference-text">"Our abstraction is inspired by the map and reduce primitives present in Lisp and many other functional languages." -<a rel="nofollow" class="external text" href="http://research.google.com/archive/mapreduce.html">"MapReduce: Simplified Data Processing on Large Clusters"</a>, by Jeffrey Dean and Sanjay Ghemawat; from Google Research</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLämmel2008" class="citation journal cs1">Lämmel, R. (2008). "Google's Map <i>Reduce</i> programming model — Revisited". <i>Science of Computer Programming</i>. <b>70</b>: 1–30. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.scico.2007.07.001">10.1016/j.scico.2007.07.001</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=Science+of+Computer+Programming&amp;rft.atitle=Google%27s+Map+Reduce+programming+model+%E2%80%94+Revisited&amp;rft.volume=70&amp;rft.pages=1-30&amp;rft.date=2008&amp;rft_id=info%3Adoi%2F10.1016%2Fj.scico.2007.07.001&amp;rft.aulast=L%C3%A4mmel&amp;rft.aufirst=R.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external free" href="http://www.mcs.anl.gov/research/projects/mpi/mpi-standard/mpi-report-2.0/mpi2-report.htm">http://www.mcs.anl.gov/research/projects/mpi/mpi-standard/mpi-report-2.0/mpi2-report.htm</a> MPI 2 standard</span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</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://mpitutorial.com/tutorials/mpi-reduce-and-allreduce/">"MPI Reduce and Allreduce · MPI Tutorial"</a>. <i>mpitutorial.com</i>.</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=mpitutorial.com&amp;rft.atitle=MPI+Reduce+and+Allreduce+%C2%B7+MPI+Tutorial&amp;rft_id=http%3A%2F%2Fmpitutorial.com%2Ftutorials%2Fmpi-reduce-and-allreduce%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</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://mpitutorial.com/tutorials/performing-parallel-rank-with-mpi/">"Performing Parallel Rank with MPI · MPI Tutorial"</a>. <i>mpitutorial.com</i>.</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=mpitutorial.com&amp;rft.atitle=Performing+Parallel+Rank+with+MPI+%C2%B7+MPI+Tutorial&amp;rft_id=http%3A%2F%2Fmpitutorial.com%2Ftutorials%2Fperforming-parallel-rank-with-mpi%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-stackoverflow-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-stackoverflow_10-0">^</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://stackoverflow.com/questions/3947889/mongodb-terrible-mapreduce-performance">"MongoDB: Terrible MapReduce Performance"</a>. Stack Overflow. October 16, 2010. <q>The MapReduce implementation in MongoDB has little to do with map reduce apparently. Because for all I read, it is single-threaded, while map-reduce is meant to be used highly parallel on a cluster. ... MongoDB MapReduce is single threaded on a single server...</q></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=MongoDB%3A+Terrible+MapReduce+Performance&amp;rft.pub=Stack+Overflow&amp;rft.date=2010-10-16&amp;rft_id=https%3A%2F%2Fstackoverflow.com%2Fquestions%2F3947889%2Fmongodb-terrible-mapreduce-performance&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-ullman-11"><span class="mw-cite-backlink">^ <a href="#cite_ref-ullman_11-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-ullman_11-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-ullman_11-2"><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="CITEREFUllman2012" class="citation journal cs1"><a href="/wiki/Jeffrey_Ullman" title="Jeffrey Ullman">Ullman, J. D.</a> (2012). <span class="id-lock-subscription" title="Paid subscription required"><a rel="nofollow" class="external text" href="http://xrds.acm.org/article.cfm?aid=2331053">"Designing good MapReduce algorithms"</a></span>. <i>XRDS: Crossroads, the ACM Magazine for Students</i>. <b>19</b>: 30–34. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F2331042.2331053">10.1145/2331042.2331053</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:26498063">26498063</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=XRDS%3A+Crossroads%2C+the+ACM+Magazine+for+Students&amp;rft.atitle=Designing+good+MapReduce+algorithms&amp;rft.volume=19&amp;rft.pages=30-34&amp;rft.date=2012&amp;rft_id=info%3Adoi%2F10.1145%2F2331042.2331053&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A26498063%23id-name%3DS2CID&amp;rft.aulast=Ullman&amp;rft.aufirst=J.+D.&amp;rft_id=http%3A%2F%2Fxrds.acm.org%2Farticle.cfm%3Faid%3D2331053&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSverdlik2014" class="citation web cs1">Sverdlik, Yevgeniy (2014-06-25). <a rel="nofollow" class="external text" href="http://www.datacenterknowledge.com/archives/2014/06/25/google-dumps-mapreduce-favor-new-hyper-scale-analytics-system/">"Google Dumps MapReduce in Favor of New Hyper-Scale Analytics System"</a>. <i>Data Center Knowledge</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2015-10-25</span></span>. <q><span class="cs1-kern-left"></span>"We don't really use MapReduce anymore" [Urs Hölzle, senior vice president of technical infrastructure at Google]</q></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=Data+Center+Knowledge&amp;rft.atitle=Google+Dumps+MapReduce+in+Favor+of+New+Hyper-Scale+Analytics+System&amp;rft.date=2014-06-25&amp;rft.aulast=Sverdlik&amp;rft.aufirst=Yevgeniy&amp;rft_id=http%3A%2F%2Fwww.datacenterknowledge.com%2Farchives%2F2014%2F06%2F25%2Fgoogle-dumps-mapreduce-favor-new-hyper-scale-analytics-system%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHarris2014" class="citation web cs1">Harris, Derrick (2014-03-27). <a rel="nofollow" class="external text" href="https://gigaom.com/2014/03/27/apache-mahout-hadoops-original-machine-learning-project-is-moving-on-from-mapreduce/">"Apache Mahout, Hadoop's original machine learning project, is moving on from MapReduce"</a>. <i><a href="/wiki/Gigaom" title="Gigaom">Gigaom</a></i><span class="reference-accessdate">. Retrieved <span class="nowrap">2015-09-24</span></span>. <q>Apache Mahout [...] is joining the exodus away from MapReduce.</q></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=Gigaom&amp;rft.atitle=Apache+Mahout%2C+Hadoop%27s+original+machine+learning+project%2C+is+moving+on+from+MapReduce&amp;rft.date=2014-03-27&amp;rft.aulast=Harris&amp;rft.aufirst=Derrick&amp;rft_id=https%3A%2F%2Fgigaom.com%2F2014%2F03%2F27%2Fapache-mahout-hadoops-original-machine-learning-project-is-moving-on-from-mapreduce%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCzajkowskiMarián_DvorskýJerry_ZhaoMichael_Conley2011" class="citation web cs1">Czajkowski, Grzegorz; Marián Dvorský; Jerry Zhao; Michael Conley (7 September 2011). <a rel="nofollow" class="external text" href="http://googleresearch.blogspot.com/2011/09/sorting-petabytes-with-mapreduce-next.html">"Sorting Petabytes with MapReduce – The Next Episode"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">7 April</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Sorting+Petabytes+with+MapReduce+%E2%80%93+The+Next+Episode&amp;rft.date=2011-09-07&amp;rft.aulast=Czajkowski&amp;rft.aufirst=Grzegorz&amp;rft.au=Mari%C3%A1n+Dvorsk%C3%BD&amp;rft.au=Jerry+Zhao&amp;rft.au=Michael+Conley&amp;rft_id=http%3A%2F%2Fgoogleresearch.blogspot.com%2F2011%2F09%2Fsorting-petabytes-with-mapreduce-next.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</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://hadoop.apache.org/docs/r1.2.1/mapred_tutorial.html#Inputs+and+Outputs">"MapReduce Tutorial"</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=MapReduce+Tutorial&amp;rft_id=https%3A%2F%2Fhadoop.apache.org%2Fdocs%2Fr1.2.1%2Fmapred_tutorial.html%23Inputs%2Band%2BOutputs&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</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/apache/hadoop-mapreduce/blob/307cb5b316e10defdbbc228d8cdcdb627191ea15/src/java/org/apache/hadoop/mapreduce/Reducer.java#L148">"Apache/Hadoop-mapreduce"</a>. <i><a href="/wiki/GitHub" title="GitHub">GitHub</a></i>. 31 August 2021.</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=Apache%2FHadoop-mapreduce&amp;rft.date=2021-08-31&amp;rft_id=https%3A%2F%2Fgithub.com%2Fapache%2Fhadoop-mapreduce%2Fblob%2F307cb5b316e10defdbbc228d8cdcdb627191ea15%2Fsrc%2Fjava%2Forg%2Fapache%2Fhadoop%2Fmapreduce%2FReducer.java%23L148&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</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://research.google.com/archive/mapreduce-osdi04-slides/index-auto-0004.html">"Example: Count word occurrences"</a>. Google Research<span class="reference-accessdate">. Retrieved <span class="nowrap">September 18,</span> 2013</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Example%3A+Count+word+occurrences&amp;rft.pub=Google+Research&amp;rft_id=http%3A%2F%2Fresearch.google.com%2Farchive%2Fmapreduce-osdi04-slides%2Findex-auto-0004.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-18">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFFegaras2017" class="citation journal cs1">Fegaras, Leonidas (2017). "An algebra for distributed Big Data analytics". <i>Journal of Functional Programming</i>. <b>28</b>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1017%2FS0956796817000193">10.1017/S0956796817000193</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:44629767">44629767</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=Journal+of+Functional+Programming&amp;rft.atitle=An+algebra+for+distributed+Big+Data+analytics&amp;rft.volume=28&amp;rft.date=2017&amp;rft_id=info%3Adoi%2F10.1017%2FS0956796817000193&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A44629767%23id-name%3DS2CID&amp;rft.aulast=Fegaras&amp;rft.aufirst=Leonidas&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-19">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLin2013" class="citation arxiv cs1">Lin, Jimmy (29 Apr 2013). "Monoidify! Monoids as a Design Principle for Efficient MapReduce Algorithms". <a href="/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/1304.7544">1304.7544</a></span> [<a rel="nofollow" class="external text" href="https://arxiv.org/archive/cs.DC">cs.DC</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=Monoidify%21+Monoids+as+a+Design+Principle+for+Efficient+MapReduce+Algorithms&amp;rft.date=2013-04-29&amp;rft_id=info%3Aarxiv%2F1304.7544&amp;rft.aulast=Lin&amp;rft.aufirst=Jimmy&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-20"><span class="mw-cite-backlink"><b><a href="#cite_ref-20">^</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://twitter.github.io/algebird/">"Abstract Algebra for Scala"</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Abstract+Algebra+for+Scala&amp;rft_id=https%3A%2F%2Ftwitter.github.io%2Falgebird%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-21"><span class="mw-cite-backlink"><b><a href="#cite_ref-21">^</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://erikerlandson.github.io/blog/2016/09/05/expressing-map-reduce-as-a-left-folding-monoid/">"Encoding Map-Reduce As A Monoid With Left Folding"</a>. 5 September 2016.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Encoding+Map-Reduce+As+A+Monoid+With+Left+Folding&amp;rft.date=2016-09-05&amp;rft_id=http%3A%2F%2Ferikerlandson.github.io%2Fblog%2F2016%2F09%2F05%2Fexpressing-map-reduce-as-a-left-folding-monoid%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-:0-22"><span class="mw-cite-backlink">^ <a href="#cite_ref-:0_22-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:0_22-1"><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="CITEREFSengerGil-CostaArantesMarcondes2015" class="citation journal cs1">Senger, Hermes; Gil-Costa, Veronica; Arantes, Luciana; Marcondes, Cesar A. C.; Marín, Mauricio; Sato, Liria M.; da Silva, Fabrício A.B. (2015-01-01). "BSP cost and scalability analysis for MapReduce operations". <i>Concurrency and Computation: Practice and Experience</i>. <b>28</b> (8): 2503–2527. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1002%2Fcpe.3628">10.1002/cpe.3628</a>. <a href="/wiki/Hdl_(identifier)" class="mw-redirect" title="Hdl (identifier)">hdl</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://hdl.handle.net/10533%2F147670">10533/147670</a></span>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a>&#160;<a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/1532-0634">1532-0634</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:33645927">33645927</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=Concurrency+and+Computation%3A+Practice+and+Experience&amp;rft.atitle=BSP+cost+and+scalability+analysis+for+MapReduce+operations&amp;rft.volume=28&amp;rft.issue=8&amp;rft.pages=2503-2527&amp;rft.date=2015-01-01&amp;rft_id=info%3Ahdl%2F10533%2F147670&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A33645927%23id-name%3DS2CID&amp;rft.issn=1532-0634&amp;rft_id=info%3Adoi%2F10.1002%2Fcpe.3628&amp;rft.aulast=Senger&amp;rft.aufirst=Hermes&amp;rft.au=Gil-Costa%2C+Veronica&amp;rft.au=Arantes%2C+Luciana&amp;rft.au=Marcondes%2C+Cesar+A.+C.&amp;rft.au=Mar%C3%ADn%2C+Mauricio&amp;rft.au=Sato%2C+Liria+M.&amp;rft.au=da+Silva%2C+Fabr%C3%ADcio+A.B.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-23">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBerlińskaDrozdowski2010" class="citation journal cs1">Berlińska, Joanna; Drozdowski, Maciej (2010-12-01). "Scheduling divisible MapReduce computations". <i>Journal of Parallel and Distributed Computing</i>. <b>71</b> (3): 450–459. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.jpdc.2010.12.004">10.1016/j.jpdc.2010.12.004</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=Journal+of+Parallel+and+Distributed+Computing&amp;rft.atitle=Scheduling+divisible+MapReduce+computations&amp;rft.volume=71&amp;rft.issue=3&amp;rft.pages=450-459&amp;rft.date=2010-12-01&amp;rft_id=info%3Adoi%2F10.1016%2Fj.jpdc.2010.12.004&amp;rft.aulast=Berli%C5%84ska&amp;rft.aufirst=Joanna&amp;rft.au=Drozdowski%2C+Maciej&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-24"><span class="mw-cite-backlink"><b><a href="#cite_ref-24">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBosagh_ZadehCarlsson2013" class="citation web cs1">Bosagh Zadeh, Reza; Carlsson, Gunnar (2013). <a rel="nofollow" class="external text" href="https://stanford.edu/~rezab/papers/dimsum.pdf">"Dimension Independent Matrix Square Using MapReduce"</a> <span class="cs1-format">(PDF)</span>. <i>Stanford University</i>. <a href="/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/1304.1467">1304.1467</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2013arXiv1304.1467B">2013arXiv1304.1467B</a><span class="reference-accessdate">. Retrieved <span class="nowrap">12 July</span> 2014</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=Stanford+University&amp;rft.atitle=Dimension+Independent+Matrix+Square+Using+MapReduce&amp;rft.date=2013&amp;rft_id=info%3Aarxiv%2F1304.1467&amp;rft_id=info%3Abibcode%2F2013arXiv1304.1467B&amp;rft.aulast=Bosagh+Zadeh&amp;rft.aufirst=Reza&amp;rft.au=Carlsson%2C+Gunnar&amp;rft_id=https%3A%2F%2Fstanford.edu%2F~rezab%2Fpapers%2Fdimsum.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-mrml-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-mrml_25-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFNgBradskiChuOlukotun2006" class="citation web cs1">Ng, Andrew Y.; Bradski, Gary; Chu, Cheng-Tao; Olukotun, Kunle; Kim, Sang Kyun; Lin, Yi-An; Yu, YuanYuan (2006). <a rel="nofollow" class="external text" href="http://www.willowgarage.com/map-reduce-machine-learning-multicore">"Map-Reduce for Machine Learning on Multicore"</a>. NIPS 2006.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Map-Reduce+for+Machine+Learning+on+Multicore&amp;rft.pub=NIPS+2006&amp;rft.date=2006&amp;rft.aulast=Ng&amp;rft.aufirst=Andrew+Y.&amp;rft.au=Bradski%2C+Gary&amp;rft.au=Chu%2C+Cheng-Tao&amp;rft.au=Olukotun%2C+Kunle&amp;rft.au=Kim%2C+Sang+Kyun&amp;rft.au=Lin%2C+Yi-An&amp;rft.au=Yu%2C+YuanYuan&amp;rft_id=http%3A%2F%2Fwww.willowgarage.com%2Fmap-reduce-machine-learning-multicore&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-evalMR-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-evalMR_26-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRangerRaghuramanPenmetsaBradski2007" class="citation book cs1">Ranger, C.; Raghuraman, R.; Penmetsa, A.; Bradski, G.; Kozyrakis, C. (2007). "Evaluating MapReduce for Multi-core and Multiprocessor Systems". <i>2007 IEEE 13th International Symposium on High Performance Computer Architecture</i>. p.&#160;13. <a href="/wiki/CiteSeerX_(identifier)" class="mw-redirect" title="CiteSeerX (identifier)">CiteSeerX</a>&#160;<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.220.8210">10.1.1.220.8210</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1109%2FHPCA.2007.346181">10.1109/HPCA.2007.346181</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-1-4244-0804-7" title="Special:BookSources/978-1-4244-0804-7"><bdi>978-1-4244-0804-7</bdi></a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:12563671">12563671</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=Evaluating+MapReduce+for+Multi-core+and+Multiprocessor+Systems&amp;rft.btitle=2007+IEEE+13th+International+Symposium+on+High+Performance+Computer+Architecture&amp;rft.pages=13&amp;rft.date=2007&amp;rft_id=https%3A%2F%2Fciteseerx.ist.psu.edu%2Fviewdoc%2Fsummary%3Fdoi%3D10.1.1.220.8210%23id-name%3DCiteSeerX&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A12563671%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1109%2FHPCA.2007.346181&amp;rft.isbn=978-1-4244-0804-7&amp;rft.aulast=Ranger&amp;rft.aufirst=C.&amp;rft.au=Raghuraman%2C+R.&amp;rft.au=Penmetsa%2C+A.&amp;rft.au=Bradski%2C+G.&amp;rft.au=Kozyrakis%2C+C.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-graphicsMR-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-graphicsMR_27-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHeFangLuoGovindaraju2008" class="citation book cs1">He, B.; Fang, W.; Luo, Q.; Govindaraju, N. K.; Wang, T. (2008). <a rel="nofollow" class="external text" href="http://wenbin.org/doc/papers/Wenbin08PACT.pdf">"Mars: a MapReduce framework on graphics processors"</a> <span class="cs1-format">(PDF)</span>. <i>Proceedings of the 17th international conference on Parallel architectures and compilation techniques – PACT '08</i>. p.&#160;260. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F1454115.1454152">10.1145/1454115.1454152</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/9781605582825" title="Special:BookSources/9781605582825"><bdi>9781605582825</bdi></a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:207169888">207169888</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=Mars%3A+a+MapReduce+framework+on+graphics+processors&amp;rft.btitle=Proceedings+of+the+17th+international+conference+on+Parallel+architectures+and+compilation+techniques+%E2%80%93+PACT+%2708&amp;rft.pages=260&amp;rft.date=2008&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A207169888%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1145%2F1454115.1454152&amp;rft.isbn=9781605582825&amp;rft.aulast=He&amp;rft.aufirst=B.&amp;rft.au=Fang%2C+W.&amp;rft.au=Luo%2C+Q.&amp;rft.au=Govindaraju%2C+N.+K.&amp;rft.au=Wang%2C+T.&amp;rft_id=http%3A%2F%2Fwenbin.org%2Fdoc%2Fpapers%2FWenbin08PACT.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-tiledMR-28"><span class="mw-cite-backlink"><b><a href="#cite_ref-tiledMR_28-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFChenChenZang2010" class="citation book cs1">Chen, R.; Chen, H.; Zang, B. (2010). "Tiled-MapReduce: optimizing resource usages of data-parallel applications on multicore with tiling". <i>Proceedings of the 19th international conference on Parallel architectures and compilation techniques – PACT '10</i>. p.&#160;523. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F1854273.1854337">10.1145/1854273.1854337</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/9781450301787" title="Special:BookSources/9781450301787"><bdi>9781450301787</bdi></a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:2082196">2082196</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=Tiled-MapReduce%3A+optimizing+resource+usages+of+data-parallel+applications+on+multicore+with+tiling&amp;rft.btitle=Proceedings+of+the+19th+international+conference+on+Parallel+architectures+and+compilation+techniques+%E2%80%93+PACT+%2710&amp;rft.pages=523&amp;rft.date=2010&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A2082196%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1145%2F1854273.1854337&amp;rft.isbn=9781450301787&amp;rft.aulast=Chen&amp;rft.aufirst=R.&amp;rft.au=Chen%2C+H.&amp;rft.au=Zang%2C+B.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-gridMR-29"><span class="mw-cite-backlink"><b><a href="#cite_ref-gridMR_29-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTangMocaChevalierHe2010" class="citation book cs1">Tang, B.; Moca, M.; Chevalier, S.; He, H.; Fedak, G. (2010). <a rel="nofollow" class="external text" href="http://graal.ens-lyon.fr/~gfedak/papers/xtremmapreduce.3pgcic10.pdf">"Towards MapReduce for Desktop Grid Computing"</a> <span class="cs1-format">(PDF)</span>. <i>2010 International Conference on P2P, Parallel, Grid, Cloud and Internet Computing</i>. p.&#160;193. <a href="/wiki/CiteSeerX_(identifier)" class="mw-redirect" title="CiteSeerX (identifier)">CiteSeerX</a>&#160;<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.671.2763">10.1.1.671.2763</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1109%2F3PGCIC.2010.33">10.1109/3PGCIC.2010.33</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-1-4244-8538-3" title="Special:BookSources/978-1-4244-8538-3"><bdi>978-1-4244-8538-3</bdi></a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:15044391">15044391</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=Towards+MapReduce+for+Desktop+Grid+Computing&amp;rft.btitle=2010+International+Conference+on+P2P%2C+Parallel%2C+Grid%2C+Cloud+and+Internet+Computing&amp;rft.pages=193&amp;rft.date=2010&amp;rft_id=https%3A%2F%2Fciteseerx.ist.psu.edu%2Fviewdoc%2Fsummary%3Fdoi%3D10.1.1.671.2763%23id-name%3DCiteSeerX&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A15044391%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1109%2F3PGCIC.2010.33&amp;rft.isbn=978-1-4244-8538-3&amp;rft.aulast=Tang&amp;rft.aufirst=B.&amp;rft.au=Moca%2C+M.&amp;rft.au=Chevalier%2C+S.&amp;rft.au=He%2C+H.&amp;rft.au=Fedak%2C+G.&amp;rft_id=http%3A%2F%2Fgraal.ens-lyon.fr%2F~gfedak%2Fpapers%2Fxtremmapreduce.3pgcic10.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-HMR-30"><span class="mw-cite-backlink"><b><a href="#cite_ref-HMR_30-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLuoGuoSunPlale2011" class="citation book cs1">Luo, Y.; Guo, Z.; Sun, Y.; <a href="/wiki/Beth_Plale" title="Beth Plale">Plale, B.</a>; Qiu, J.; Li, W. (2011). <a rel="nofollow" class="external text" href="http://yuanluo.net/publications/LUO_ECMLS2011.pdf">"A Hierarchical Framework for Cross-Domain MapReduce Execution"</a> <span class="cs1-format">(PDF)</span>. <i>Proceedings of the second international workshop on Emerging computational methods for the life sciences (ECMLS '11)</i>. <a href="/wiki/CiteSeerX_(identifier)" class="mw-redirect" title="CiteSeerX (identifier)">CiteSeerX</a>&#160;<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.364.9898">10.1.1.364.9898</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F1996023.1996026">10.1145/1996023.1996026</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-1-4503-0702-4" title="Special:BookSources/978-1-4503-0702-4"><bdi>978-1-4503-0702-4</bdi></a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:15179363">15179363</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=A+Hierarchical+Framework+for+Cross-Domain+MapReduce+Execution&amp;rft.btitle=Proceedings+of+the+second+international+workshop+on+Emerging+computational+methods+for+the+life+sciences+%28ECMLS+%2711%29&amp;rft.date=2011&amp;rft_id=https%3A%2F%2Fciteseerx.ist.psu.edu%2Fviewdoc%2Fsummary%3Fdoi%3D10.1.1.364.9898%23id-name%3DCiteSeerX&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A15179363%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1145%2F1996023.1996026&amp;rft.isbn=978-1-4503-0702-4&amp;rft.aulast=Luo&amp;rft.aufirst=Y.&amp;rft.au=Guo%2C+Z.&amp;rft.au=Sun%2C+Y.&amp;rft.au=Plale%2C+B.&amp;rft.au=Qiu%2C+J.&amp;rft.au=Li%2C+W.&amp;rft_id=http%3A%2F%2Fyuanluo.net%2Fpublications%2FLUO_ECMLS2011.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-volunteerMR-31"><span class="mw-cite-backlink"><b><a href="#cite_ref-volunteerMR_31-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLinMaArchuletaFeng2010" class="citation book cs1">Lin, H.; Ma, X.; Archuleta, J.; Feng, W. C.; Gardner, M.; Zhang, Z. (2010). <a rel="nofollow" class="external text" href="http://eprints.cs.vt.edu/archive/00001089/01/moon.pdf">"MOON: MapReduce On Opportunistic eNvironments"</a> <span class="cs1-format">(PDF)</span>. <i>Proceedings of the 19th ACM International Symposium on High Performance Distributed Computing – HPDC '10</i>. p.&#160;95. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F1851476.1851489">10.1145/1851476.1851489</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/9781605589428" title="Special:BookSources/9781605589428"><bdi>9781605589428</bdi></a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:2351790">2351790</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=MOON%3A+MapReduce+On+Opportunistic+eNvironments&amp;rft.btitle=Proceedings+of+the+19th+ACM+International+Symposium+on+High+Performance+Distributed+Computing+%E2%80%93+HPDC+%2710&amp;rft.pages=95&amp;rft.date=2010&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A2351790%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1145%2F1851476.1851489&amp;rft.isbn=9781605589428&amp;rft.aulast=Lin&amp;rft.aufirst=H.&amp;rft.au=Ma%2C+X.&amp;rft.au=Archuleta%2C+J.&amp;rft.au=Feng%2C+W.+C.&amp;rft.au=Gardner%2C+M.&amp;rft.au=Zhang%2C+Z.&amp;rft_id=http%3A%2F%2Feprints.cs.vt.edu%2Farchive%2F00001089%2F01%2Fmoon.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-dynCloudMR-32"><span class="mw-cite-backlink"><b><a href="#cite_ref-dynCloudMR_32-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMarozzoTaliaTrunfio2012" class="citation journal cs1">Marozzo, F.; Talia, D.; Trunfio, P. (2012). <a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.jcss.2011.12.021">"P2P-MapReduce: Parallel data processing in dynamic Cloud environments"</a>. <i><a href="/wiki/Journal_of_Computer_and_System_Sciences" title="Journal of Computer and System Sciences">Journal of Computer and System Sciences</a></i>. <b>78</b> (5): 1382–1402. <a href="/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/10.1016%2Fj.jcss.2011.12.021">10.1016/j.jcss.2011.12.021</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=Journal+of+Computer+and+System+Sciences&amp;rft.atitle=P2P-MapReduce%3A+Parallel+data+processing+in+dynamic+Cloud+environments&amp;rft.volume=78&amp;rft.issue=5&amp;rft.pages=1382-1402&amp;rft.date=2012&amp;rft_id=info%3Adoi%2F10.1016%2Fj.jcss.2011.12.021&amp;rft.aulast=Marozzo&amp;rft.aufirst=F.&amp;rft.au=Talia%2C+D.&amp;rft.au=Trunfio%2C+P.&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.1016%252Fj.jcss.2011.12.021&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-mobileMR-33"><span class="mw-cite-backlink"><b><a href="#cite_ref-mobileMR_33-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDouKalogerakiGunopulosMielikainen2010" class="citation book cs1">Dou, A.; Kalogeraki, V.; Gunopulos, D.; Mielikainen, T.; Tuulos, V. H. (2010). "Misco: a MapReduce framework for mobile systems". <i>Proceedings of the 3rd International Conference on PErvasive Technologies Related to Assistive Environments – PETRA '10</i>. p.&#160;1. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F1839294.1839332">10.1145/1839294.1839332</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/9781450300711" title="Special:BookSources/9781450300711"><bdi>9781450300711</bdi></a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:14517696">14517696</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=Misco%3A+a+MapReduce+framework+for+mobile+systems&amp;rft.btitle=Proceedings+of+the+3rd+International+Conference+on+PErvasive+Technologies+Related+to+Assistive+Environments+%E2%80%93+PETRA+%2710&amp;rft.pages=1&amp;rft.date=2010&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A14517696%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1145%2F1839294.1839332&amp;rft.isbn=9781450300711&amp;rft.aulast=Dou&amp;rft.aufirst=A.&amp;rft.au=Kalogeraki%2C+V.&amp;rft.au=Gunopulos%2C+D.&amp;rft.au=Mielikainen%2C+T.&amp;rft.au=Tuulos%2C+V.+H.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-34"><span class="mw-cite-backlink"><b><a href="#cite_ref-34">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWangGoldstoneYuWang2014" class="citation book cs1">Wang, Yandong; Goldstone, Robin; Yu, Weikuan; Wang, Teng (May 2014). "Characterization and Optimization of Memory-Resident MapReduce on HPC Systems". <i>2014 IEEE 28th International Parallel and Distributed Processing Symposium</i>. IEEE. pp.&#160;799–808. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1109%2FIPDPS.2014.87">10.1109/IPDPS.2014.87</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-1-4799-3800-1" title="Special:BookSources/978-1-4799-3800-1"><bdi>978-1-4799-3800-1</bdi></a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:11157612">11157612</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=Characterization+and+Optimization+of+Memory-Resident+MapReduce+on+HPC+Systems&amp;rft.btitle=2014+IEEE+28th+International+Parallel+and+Distributed+Processing+Symposium&amp;rft.pages=799-808&amp;rft.pub=IEEE&amp;rft.date=2014-05&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A11157612%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1109%2FIPDPS.2014.87&amp;rft.isbn=978-1-4799-3800-1&amp;rft.aulast=Wang&amp;rft.aufirst=Yandong&amp;rft.au=Goldstone%2C+Robin&amp;rft.au=Yu%2C+Weikuan&amp;rft.au=Wang%2C+Teng&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-usage-35"><span class="mw-cite-backlink"><b><a href="#cite_ref-usage_35-0">^</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://www.baselinemag.com/c/a/Infrastructure/How-Google-Works-1/5">"How Google Works"</a>. baselinemag.com. 7 July 2006. <q>As of October, Google was running about 3,000 computing jobs per day through MapReduce, representing thousands of machine-days, according to a presentation by Dean. Among other things, these batch routines analyze the latest Web pages and update Google's indexes.</q></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=How+Google+Works&amp;rft.pub=baselinemag.com&amp;rft.date=2006-07-07&amp;rft_id=http%3A%2F%2Fwww.baselinemag.com%2Fc%2Fa%2FInfrastructure%2FHow-Google-Works-1%2F5&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-Chambers2010-36"><span class="mw-cite-backlink"><b><a href="#cite_ref-Chambers2010_36-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFChambersRaniwalaPerryAdams2010" class="citation book cs1">Chambers, Craig; Raniwala, Ashish; Perry, Frances; Adams, Stephen; Henry, Robert R.; Bradshaw, Robert; Weizenbaum, Nathan (1 January 2010). "FlumeJava". <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160923141630/https://static.googleusercontent.com/media/research.google.com/en//pubs/archive/35650.pdf"><i>Proceedings of the 31st ACM SIGPLAN Conference on Programming Language Design and Implementation</i></a> <span class="cs1-format">(PDF)</span>. pp.&#160;363–375. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1145%2F1806596.1806638">10.1145/1806596.1806638</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/9781450300193" title="Special:BookSources/9781450300193"><bdi>9781450300193</bdi></a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:14888571">14888571</a>. Archived from <a rel="nofollow" class="external text" href="https://static.googleusercontent.com/media/research.google.com/en//pubs/archive/35650.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 23 September 2016<span class="reference-accessdate">. Retrieved <span class="nowrap">4 August</span> 2016</span>.</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=FlumeJava&amp;rft.btitle=Proceedings+of+the+31st+ACM+SIGPLAN+Conference+on+Programming+Language+Design+and+Implementation&amp;rft.pages=363-375&amp;rft.date=2010-01-01&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A14888571%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1145%2F1806596.1806638&amp;rft.isbn=9781450300193&amp;rft.aulast=Chambers&amp;rft.aufirst=Craig&amp;rft.au=Raniwala%2C+Ashish&amp;rft.au=Perry%2C+Frances&amp;rft.au=Adams%2C+Stephen&amp;rft.au=Henry%2C+Robert+R.&amp;rft.au=Bradshaw%2C+Robert&amp;rft.au=Weizenbaum%2C+Nathan&amp;rft_id=https%3A%2F%2Fstatic.googleusercontent.com%2Fmedia%2Fresearch.google.com%2Fen%2F%2Fpubs%2Farchive%2F35650.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-37"><span class="mw-cite-backlink"><b><a href="#cite_ref-37">^</a></b></span> <span class="reference-text">Peng, D., &amp; Dabek, F. (2010, October). Large-scale Incremental Processing Using Distributed Transactions and Notifications. In OSDI (Vol. 10, pp. 1-15).</span> </li> <li id="cite_note-shark-38"><span class="mw-cite-backlink"><b><a href="#cite_ref-shark_38-0">^</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://typicalprogrammer.com/relational-database-experts-jump-the-mapreduce-shark">"Database Experts Jump the MapReduce Shark"</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Database+Experts+Jump+the+MapReduce+Shark&amp;rft_id=http%3A%2F%2Ftypicalprogrammer.com%2Frelational-database-experts-jump-the-mapreduce-shark&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-ddandms1-39"><span class="mw-cite-backlink">^ <a href="#cite_ref-ddandms1_39-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-ddandms1_39-1"><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="CITEREFDavid_DeWittMichael_Stonebraker" class="citation web cs1"><a href="/wiki/David_DeWitt" title="David DeWitt">David DeWitt</a>; <a href="/wiki/Michael_Stonebraker" title="Michael Stonebraker">Michael Stonebraker</a>. <a rel="nofollow" class="external text" href="http://craig-henderson.blogspot.com/2009/11/dewitt-and-stonebrakers-mapreduce-major.html">"MapReduce: A major step backwards"</a>. craig-henderson.blogspot.com<span class="reference-accessdate">. Retrieved <span class="nowrap">2008-08-27</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=MapReduce%3A+A+major+step+backwards&amp;rft.pub=craig-henderson.blogspot.com&amp;rft.au=David+DeWitt&amp;rft.au=Michael+Stonebraker&amp;rft_id=http%3A%2F%2Fcraig-henderson.blogspot.com%2F2009%2F11%2Fdewitt-and-stonebrakers-mapreduce-major.html&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-ApacheHiveWiki-40"><span class="mw-cite-backlink"><b><a href="#cite_ref-ApacheHiveWiki_40-0">^</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://cwiki.apache.org/confluence/display/Hive/Home">"Apache Hive – Index of – Apache Software Foundation"</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Apache+Hive+%E2%80%93+Index+of+%E2%80%93+Apache+Software+Foundation&amp;rft_id=https%3A%2F%2Fcwiki.apache.org%2Fconfluence%2Fdisplay%2FHive%2FHome&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-HBase-41"><span class="mw-cite-backlink">^ <a href="#cite_ref-HBase_41-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-HBase_41-1"><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 class="citation web cs1"><a rel="nofollow" class="external text" href="https://hbase.apache.org/">"HBase – HBase Home – Apache Software Foundation"</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=HBase+%E2%80%93+HBase+Home+%E2%80%93+Apache+Software+Foundation&amp;rft_id=http%3A%2F%2Fhbase.apache.org%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-BigtablePaper-42"><span class="mw-cite-backlink"><b><a href="#cite_ref-BigtablePaper_42-0">^</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://research.google.com/archive/bigtable-osdi06.pdf">"Bigtable: A Distributed Storage System for Structured Data"</a> <span class="cs1-format">(PDF)</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Bigtable%3A+A+Distributed+Storage+System+for+Structured+Data&amp;rft_id=http%3A%2F%2Fresearch.google.com%2Farchive%2Fbigtable-osdi06.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-gj1-43"><span class="mw-cite-backlink"><b><a href="#cite_ref-gj1_43-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGreg_Jorgensen" class="citation web cs1"><a href="/w/index.php?title=Greg_Jorgensen&amp;action=edit&amp;redlink=1" class="new" title="Greg Jorgensen (page does not exist)">Greg Jorgensen</a>. <a rel="nofollow" class="external text" href="http://typicalprogrammer.com/relational-database-experts-jump-the-mapreduce-shark">"Relational Database Experts Jump The MapReduce Shark"</a>. typicalprogrammer.com<span class="reference-accessdate">. Retrieved <span class="nowrap">2009-11-11</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Relational+Database+Experts+Jump+The+MapReduce+Shark&amp;rft.pub=typicalprogrammer.com&amp;rft.au=Greg+Jorgensen&amp;rft_id=http%3A%2F%2Ftypicalprogrammer.com%2Frelational-database-experts-jump-the-mapreduce-shark&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-sigmod-44"><span class="mw-cite-backlink"><b><a href="#cite_ref-sigmod_44-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPavloPaulsonRasinAbadi" class="citation web cs1">Pavlo, Andrew; Paulson, Erik; Rasin, Alexander; Abadi, Daniel J.; DeWitt, Deavid J.; Madden, Samuel; Stonebraker, Michael. <a rel="nofollow" class="external text" href="http://database.cs.brown.edu/projects/mapreduce-vs-dbms">"A Comparison of Approaches to Large-Scale Data Analysis"</a>. Brown University<span class="reference-accessdate">. Retrieved <span class="nowrap">2010-01-11</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=A+Comparison+of+Approaches+to+Large-Scale+Data+Analysis&amp;rft.pub=Brown+University&amp;rft.aulast=Pavlo&amp;rft.aufirst=Andrew&amp;rft.au=Paulson%2C+Erik&amp;rft.au=Rasin%2C+Alexander&amp;rft.au=Abadi%2C+Daniel+J.&amp;rft.au=DeWitt%2C+Deavid+J.&amp;rft.au=Madden%2C+Samuel&amp;rft.au=Stonebraker%2C+Michael&amp;rft_id=http%3A%2F%2Fdatabase.cs.brown.edu%2Fprojects%2Fmapreduce-vs-dbms&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-WDHmit86-45"><span class="mw-cite-backlink"><b><a href="#cite_ref-WDHmit86_45-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHillis1986" class="citation book cs1">Hillis, W. Danny (1986). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/connectionmachin00hill"><i>The Connection Machine</i></a></span>. <a href="/wiki/MIT_Press" title="MIT Press">MIT Press</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0262081571" title="Special:BookSources/0262081571"><bdi>0262081571</bdi></a>.</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=The+Connection+Machine&amp;rft.pub=MIT+Press&amp;rft.date=1986&amp;rft.isbn=0262081571&amp;rft.aulast=Hillis&amp;rft.aufirst=W.+Danny&amp;rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fconnectionmachin00hill&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-46"><span class="mw-cite-backlink"><b><a href="#cite_ref-46">^</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://bitsavers.trailing-edge.com/pdf/thinkingMachines/CM2/HA87-4_Connection_Machine_Model_CM-2_Technical_Summary_Apr1987.pdf">"Connection Machine Model CM-2 Technical Summary"</a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/Thinking_Machines_Corporation" title="Thinking Machines Corporation">Thinking Machines Corporation</a>. 1987-04-01<span class="reference-accessdate">. Retrieved <span class="nowrap">2022-11-21</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Connection+Machine+Model+CM-2+Technical+Summary&amp;rft.pub=Thinking+Machines+Corporation&amp;rft.date=1987-04-01&amp;rft_id=http%3A%2F%2Fbitsavers.trailing-edge.com%2Fpdf%2FthinkingMachines%2FCM2%2FHA87-4_Connection_Machine_Model_CM-2_Technical_Summary_Apr1987.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-47"><span class="mw-cite-backlink"><b><a href="#cite_ref-47">^</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://www.softwarepreservation.org/projects/LISP/starlisp/supplement-to-the-starlisp-reference-manual-version-5-0.pdf">"Supplement to the *Lisp Reference Manual"</a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/Thinking_Machines_Corporation" title="Thinking Machines Corporation">Thinking Machines Corporation</a>. 1988-09-01<span class="reference-accessdate">. Retrieved <span class="nowrap">2022-11-21</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Supplement+to+the+%2ALisp+Reference+Manual&amp;rft.pub=Thinking+Machines+Corporation&amp;rft.date=1988-09-01&amp;rft_id=https%3A%2F%2Fwww.softwarepreservation.org%2Fprojects%2FLISP%2Fstarlisp%2Fsupplement-to-the-starlisp-reference-manual-version-5-0.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-48"><span class="mw-cite-backlink"><b><a href="#cite_ref-48">^</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://collections.lib.utah.edu/dl_files/20/2e/202ebf04b52d043c78297444bc9bc4fbc17b6b5e.pdf">"Rediflow Architecture Prospectus"</a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/University_of_Utah_School_of_Computing" title="University of Utah School of Computing">University of Utah Department of Computer Science</a>. 1986-04-05<span class="reference-accessdate">. Retrieved <span class="nowrap">2022-11-21</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Rediflow+Architecture+Prospectus&amp;rft.pub=University+of+Utah+Department+of+Computer+Science&amp;rft.date=1986-04-05&amp;rft_id=https%3A%2F%2Fcollections.lib.utah.edu%2Fdl_files%2F20%2F2e%2F202ebf04b52d043c78297444bc9bc4fbc17b6b5e.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-49"><span class="mw-cite-backlink"><b><a href="#cite_ref-49">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRanka1989" class="citation book cs1">Ranka, Sanjay (1989). "2.6 Data Sum". <a rel="nofollow" class="external text" href="https://www.cise.ufl.edu/~sahni/papers/imagemono.pdf#page=20"><i>Hypercube Algorithms for Image Processing and Pattern Recognition</i></a> <span class="cs1-format">(PDF)</span>. University of Florida<span class="reference-accessdate">. Retrieved <span class="nowrap">2022-12-08</span></span>.</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=2.6+Data+Sum&amp;rft.btitle=Hypercube+Algorithms+for+Image+Processing+and+Pattern+Recognition&amp;rft.pub=University+of+Florida&amp;rft.date=1989&amp;rft.aulast=Ranka&amp;rft.aufirst=Sanjay&amp;rft_id=https%3A%2F%2Fwww.cise.ufl.edu%2F~sahni%2Fpapers%2Fimagemono.pdf%23page%3D20&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-50"><span class="mw-cite-backlink"><b><a href="#cite_ref-50">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPaul2010" class="citation news cs1">Paul, Ryan (20 January 2010). <a rel="nofollow" class="external text" href="https://arstechnica.com/information-technology/2010/01/googles-mapreduce-patent-what-does-it-mean-for-hadoop/">"Google's MapReduce patent: what does it mean for Hadoop?"</a>. <i>Ars Technica</i><span class="reference-accessdate">. Retrieved <span class="nowrap">21 March</span> 2021</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=Ars+Technica&amp;rft.atitle=Google%27s+MapReduce+patent%3A+what+does+it+mean+for+Hadoop%3F&amp;rft.date=2010-01-20&amp;rft.aulast=Paul&amp;rft.aufirst=Ryan&amp;rft_id=https%3A%2F%2Farstechnica.com%2Finformation-technology%2F2010%2F01%2Fgoogles-mapreduce-patent-what-does-it-mean-for-hadoop%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-patent-51"><span class="mw-cite-backlink"><b><a href="#cite_ref-patent_51-0">^</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://patft.uspto.gov/netacgi/nph-Parser?Sect1=PTO1&amp;Sect2=HITOFF&amp;d=PALL&amp;p=1&amp;u=/netahtml/PTO/srchnum.htm&amp;r=1&amp;f=G&amp;l=50&amp;s1=7,650,331.PN.&amp;OS=PN/7,650,331&amp;RS=PN/7,650,331">"United States Patent: 7650331 - System and method for efficient large-scale data processing"</a>. <i>uspto.gov</i>.</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=uspto.gov&amp;rft.atitle=United+States+Patent%3A+7650331+-+System+and+method+for+efficient+large-scale+data+processing&amp;rft_id=http%3A%2F%2Fpatft.uspto.gov%2Fnetacgi%2Fnph-Parser%3FSect1%3DPTO1%26Sect2%3DHITOFF%26d%3DPALL%26p%3D1%26u%3D%2Fnetahtml%2FPTO%2Fsrchnum.htm%26r%3D1%26f%3DG%26l%3D50%26s1%3D7%2C650%2C331.PN.%26OS%3DPN%2F7%2C650%2C331%26RS%3DPN%2F7%2C650%2C331&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-52"><span class="mw-cite-backlink"><b><a href="#cite_ref-52">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFNazer2013" class="citation news cs1">Nazer, Daniel (28 March 2013). <a rel="nofollow" class="external text" href="https://www.eff.org/deeplinks/2013/03/google-makes-open-patent-non-assertion-pledge">"Google Makes Open Patent Non-assertion Pledge and Proposes New Licensing Models"</a>. <i>Electronic Frontier Foundation</i><span class="reference-accessdate">. Retrieved <span class="nowrap">21 March</span> 2021</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=Electronic+Frontier+Foundation&amp;rft.atitle=Google+Makes+Open+Patent+Non-assertion+Pledge+and+Proposes+New+Licensing+Models&amp;rft.date=2013-03-28&amp;rft.aulast=Nazer&amp;rft.aufirst=Daniel&amp;rft_id=https%3A%2F%2Fwww.eff.org%2Fdeeplinks%2F2013%2F03%2Fgoogle-makes-open-patent-non-assertion-pledge&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-53"><span class="mw-cite-backlink"><b><a href="#cite_ref-53">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKing2013" class="citation news cs1">King, Rachel (2013). <a rel="nofollow" class="external text" href="https://www.zdnet.com/article/google-expands-open-patent-pledge-to-79-more-about-data-center-management/">"Google expands open patent pledge to 79 more about data center management"</a>. <i>ZDNet</i><span class="reference-accessdate">. Retrieved <span class="nowrap">21 March</span> 2021</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=ZDNet&amp;rft.atitle=Google+expands+open+patent+pledge+to+79+more+about+data+center+management&amp;rft.date=2013&amp;rft.aulast=King&amp;rft.aufirst=Rachel&amp;rft_id=https%3A%2F%2Fwww.zdnet.com%2Farticle%2Fgoogle-expands-open-patent-pledge-to-79-more-about-data-center-management%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-54"><span class="mw-cite-backlink"><b><a href="#cite_ref-54">^</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://patents.google.com/patent/US7650331B1/en">"System and method for efficient large-scale data processing"</a>. Google Patents Search. 18 June 2004<span class="reference-accessdate">. Retrieved <span class="nowrap">21 March</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=System+and+method+for+efficient+large-scale+data+processing&amp;rft.pub=Google+Patents+Search&amp;rft.date=2004-06-18&amp;rft_id=https%3A%2F%2Fpatents.google.com%2Fpatent%2FUS7650331B1%2Fen&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-55"><span class="mw-cite-backlink"><b><a href="#cite_ref-55">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGuptaFegaras2013" class="citation conference cs1">Gupta, Upa; Fegaras, Leonidas (2013-10-06). <a rel="nofollow" class="external text" href="https://csc.csudh.edu/btang/seminar/papers/BigD399.pdf">"Map-Based Graph Analysis on MapReduce"</a> <span class="cs1-format">(PDF)</span>. <i>Proceedings: 2013 IEEE International Conference on Big Data</i>. 2013 IEEE International Conference on Big Data. <a href="/wiki/Santa_Clara,_California" title="Santa Clara, California">Santa Clara, California</a>: <a href="/wiki/IEEE" class="mw-redirect" title="IEEE">IEEE</a>. pp.&#160;24–30.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=conference&amp;rft.atitle=Map-Based+Graph+Analysis+on+MapReduce&amp;rft.btitle=Proceedings%3A+2013+IEEE+International+Conference+on+Big+Data&amp;rft.place=Santa+Clara%2C+California&amp;rft.pages=24-30&amp;rft.pub=IEEE&amp;rft.date=2013-10-06&amp;rft.aulast=Gupta&amp;rft.aufirst=Upa&amp;rft.au=Fegaras%2C+Leonidas&amp;rft_id=https%3A%2F%2Fcsc.csudh.edu%2Fbtang%2Fseminar%2Fpapers%2FBigD399.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> <li id="cite_note-56"><span class="mw-cite-backlink"><b><a href="#cite_ref-56">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFZahariaChowdhuryFranklinShenker2010" class="citation conference cs1">Zaharia, Matei; Chowdhury, Mosharaf; Franklin, Michael; Shenker, Scott; Stoica, Ion (June 2010). <a rel="nofollow" class="external text" href="https://amplab.cs.berkeley.edu/wp-content/uploads/2011/06/Spark-Cluster-Computing-with-Working-Sets.pdf"><i>Spark: Cluster Computing with Working Sets</i></a> <span class="cs1-format">(PDF)</span>. HotCloud 2010.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=conference&amp;rft.btitle=Spark%3A+Cluster+Computing+with+Working+Sets&amp;rft.date=2010-06&amp;rft.aulast=Zaharia&amp;rft.aufirst=Matei&amp;rft.au=Chowdhury%2C+Mosharaf&amp;rft.au=Franklin%2C+Michael&amp;rft.au=Shenker%2C+Scott&amp;rft.au=Stoica%2C+Ion&amp;rft_id=https%3A%2F%2Famplab.cs.berkeley.edu%2Fwp-content%2Fuploads%2F2011%2F06%2FSpark-Cluster-Computing-with-Working-Sets.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AMapReduce" class="Z3988"></span></span> </li> </ol></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:var(--background-color-interactive-subtle,#f8f9fa);display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1;min-width:0}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><style data-mw-deduplicate="TemplateStyles:r1237033735">@media print{body.ns-0 .mw-parser-output .sistersitebox{display:none!important}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist">Wikimedia Commons has media related to <span style="font-weight: bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:MapReduce" class="extiw" title="commons:Category:MapReduce">MapReduce</a></span>.</div></div> </div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.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{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.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)"\a0 "}</style><style data-mw-deduplicate="TemplateStyles:r1236075235">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.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}.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-image,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist 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}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}</style><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.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>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style></div><div role="navigation" class="navbox" aria-labelledby="Google" style="padding:3px"><table class="nowraplinks hlist mw-collapsible mw-collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><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="/wiki/Template:Google_LLC" title="Template:Google LLC"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Google_LLC" title="Template talk:Google LLC"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Google_LLC" title="Special:EditPage/Template:Google LLC"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Google" style="font-size:114%;margin:0 4em"><a href="/wiki/Google" title="Google">Google</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><a href="/wiki/Alphabet_Inc." title="Alphabet Inc.">Alphabet Inc.</a></li> <li><a href="/wiki/History_of_Google" title="History of Google">History</a></li> <li><a href="/wiki/List_of_Android_apps_by_Google" title="List of Android apps by Google">List of Android apps</a></li> <li><a href="/wiki/List_of_Google_Easter_eggs" title="List of Google Easter eggs">List of Easter eggs</a> <ul><li><a href="/wiki/List_of_Google_April_Fools%27_Day_jokes" title="List of Google April Fools&#39; Day jokes">April Fools' Day</a></li></ul></li> <li><a href="/wiki/List_of_mergers_and_acquisitions_by_Alphabet" title="List of mergers and acquisitions by Alphabet">List of mergers and acquisitions</a></li></ul> </div></td></tr><tr><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" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Company" style="font-size:114%;margin:0 4em">Company</div></th></tr><tr><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</th><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="/wiki/Google_Ads" title="Google Ads">Ads</a></li> <li><a href="/wiki/Google_AI" title="Google AI">AI</a> <ul><li><i><a href="/wiki/Google_Brain" title="Google Brain">Brain</a></i></li> <li><a href="/wiki/Google_DeepMind" title="Google DeepMind">DeepMind</a></li></ul></li> <li><a href="/wiki/Android_(operating_system)" title="Android (operating system)">Android</a> <ul><li><a href="/wiki/Booting_process_of_Android_devices" title="Booting process of Android devices">booting process</a></li> <li><a href="/wiki/Android_recovery_mode" title="Android recovery mode">recovery mode</a></li> <li><a href="/wiki/Android_software_development" title="Android software development">software development</a></li> <li><a href="/wiki/Android_version_history" title="Android version history">version history</a></li></ul></li> <li><a href="/wiki/Google_China" title="Google China">China</a> <ul><li><i><a href="/wiki/Goojje" title="Goojje">Goojje</a></i></li></ul></li> <li><a href="/wiki/Google_Chrome" title="Google Chrome">Chrome</a></li> <li><a href="/wiki/Google_Cloud_Platform" title="Google Cloud Platform">Cloud</a></li> <li><a href="/wiki/Google_Glass" title="Google Glass">Glass</a></li> <li><a href="/wiki/Google.org" title="Google.org">Google.org</a> <ul><li><a href="/wiki/Google_Crisis_Response" title="Google Crisis Response">Crisis Response</a></li> <li><a href="/wiki/Google_Public_Alerts" title="Google Public Alerts">Public Alerts</a></li> <li><a href="/wiki/RechargeIT" title="RechargeIT">RechargeIT</a></li></ul></li> <li><i><a href="/wiki/Google_Health" title="Google Health">Health</a></i></li> <li><a href="/wiki/Google_Maps" title="Google Maps">Maps</a></li> <li><a href="/wiki/Google_Pixel" title="Google Pixel">Pixel</a></li> <li><a href="/wiki/Google_Search" title="Google Search">Search</a> <ul><li><a href="/wiki/Timeline_of_Google_Search" title="Timeline of Google Search">Timeline</a></li></ul></li> <li><a href="/wiki/Sidewalk_Labs" title="Sidewalk Labs">Sidewalk Labs</a></li> <li><a href="/wiki/Google_Energy" title="Google Energy">Sustainability</a></li> <li><a href="/wiki/YouTube" title="YouTube">YouTube</a> <ul><li><a href="/wiki/History_of_YouTube" title="History of YouTube">History</a></li> <li>"<a href="/wiki/Me_at_the_zoo" title="Me at the zoo">Me at the zoo</a>"</li> <li><a href="/wiki/Social_impact_of_YouTube" title="Social impact of YouTube">Social impact</a></li> <li><a href="/wiki/YouTuber" title="YouTuber">YouTuber</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Category:Google_employees" title="Category:Google employees">People</a></th><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</th><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="/wiki/Krishna_Bharat" title="Krishna Bharat">Krishna Bharat</a></li> <li><a href="/wiki/Vint_Cerf" title="Vint Cerf">Vint Cerf</a></li> <li><a href="/wiki/Jeff_Dean" title="Jeff Dean">Jeff Dean</a></li> <li><a href="/wiki/John_Doerr" title="John Doerr">John Doerr</a></li> <li><a href="/wiki/Sanjay_Ghemawat" title="Sanjay Ghemawat">Sanjay Ghemawat</a></li> <li><a href="/wiki/Al_Gore" title="Al Gore">Al Gore</a></li> <li><a href="/wiki/John_L._Hennessy" title="John L. Hennessy">John L. Hennessy</a></li> <li><a href="/wiki/Urs_H%C3%B6lzle" title="Urs Hölzle">Urs Hölzle</a></li> <li><a href="/wiki/Salar_Kamangar" title="Salar Kamangar">Salar Kamangar</a></li> <li><a href="/wiki/Ray_Kurzweil" title="Ray Kurzweil">Ray Kurzweil</a></li> <li><a href="/wiki/Ann_Mather" title="Ann Mather">Ann Mather</a></li> <li><a href="/wiki/Alan_Mulally" title="Alan Mulally">Alan Mulally</a></li> <li><a href="/wiki/Rick_Osterloh" title="Rick Osterloh">Rick Osterloh</a></li> <li><a href="/wiki/Sundar_Pichai" title="Sundar Pichai">Sundar Pichai</a> (CEO)</li> <li><a href="/wiki/Ruth_Porat" title="Ruth Porat">Ruth Porat</a> (CFO)</li> <li><a href="/wiki/Rajen_Sheth" title="Rajen Sheth">Rajen Sheth</a></li> <li><a href="/wiki/Hal_Varian" title="Hal Varian">Hal Varian</a></li> <li><a href="/wiki/Neal_Mohan" title="Neal Mohan">Neal Mohan</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Former</th><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="/wiki/Andy_Bechtolsheim" title="Andy Bechtolsheim">Andy Bechtolsheim</a></li> <li><a href="/wiki/Sergey_Brin" title="Sergey Brin">Sergey Brin</a> (Founder)</li> <li><a href="/wiki/David_Cheriton" title="David Cheriton">David Cheriton</a></li> <li><a href="/wiki/Matt_Cutts" title="Matt Cutts">Matt Cutts</a></li> <li><a href="/wiki/David_Drummond_(businessman)" title="David Drummond (businessman)">David Drummond</a></li> <li><a href="/wiki/Alan_Eustace" title="Alan Eustace">Alan Eustace</a></li> <li><a href="/wiki/Timnit_Gebru" title="Timnit Gebru">Timnit Gebru</a></li> <li><a href="/wiki/Omid_Kordestani" title="Omid Kordestani">Omid Kordestani</a></li> <li><a href="/wiki/Paul_Otellini" title="Paul Otellini">Paul Otellini</a></li> <li><a href="/wiki/Larry_Page" title="Larry Page">Larry Page</a> (Founder)</li> <li><a href="/wiki/Patrick_Pichette" title="Patrick Pichette">Patrick Pichette</a></li> <li><a href="/wiki/Eric_Schmidt" title="Eric Schmidt">Eric Schmidt</a></li> <li><a href="/wiki/Ram_Shriram" title="Ram Shriram">Ram Shriram</a></li> <li><a href="/wiki/Amit_Singhal" title="Amit Singhal">Amit Singhal</a></li> <li><a href="/wiki/Shirley_M._Tilghman" title="Shirley M. Tilghman">Shirley M. Tilghman</a></li> <li><a href="/wiki/Rachel_Whetstone" title="Rachel Whetstone">Rachel Whetstone</a></li> <li><a href="/wiki/Susan_Wojcicki" title="Susan Wojcicki">Susan Wojcicki</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Real estate</th><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="/wiki/111_Eighth_Avenue" title="111 Eighth Avenue">111 Eighth Avenue</a></li> <li><i><a href="/wiki/Androidland" title="Androidland">Androidland</a></i></li> <li><i><a href="/wiki/Google_barges" title="Google barges">Barges</a></i></li> <li><a href="/wiki/Binoculars_Building" title="Binoculars Building">Binoculars Building</a></li> <li><a href="/wiki/Central_Saint_Giles" title="Central Saint Giles">Central Saint Giles</a></li> <li><a href="/wiki/Chelsea_Market" title="Chelsea Market">Chelsea Market</a></li> <li><i><a href="/wiki/Chrome_Zone" title="Chrome Zone">Chrome Zone</a></i></li> <li><a href="/wiki/Google_data_centers" title="Google data centers">Data centers</a></li> <li><a href="/wiki/Googleplex" title="Googleplex">Googleplex</a></li> <li><a href="/wiki/Mayfield_Mall" title="Mayfield Mall">Mayfield Mall</a></li> <li><a href="/wiki/Pier_57" title="Pier 57">Pier 57</a></li> <li><a href="/wiki/Sidewalk_Toronto" title="Sidewalk Toronto">Sidewalk Toronto</a></li> <li><a href="/wiki/St._John%27s_Terminal" title="St. John&#39;s Terminal">St. John's Terminal</a></li> <li><a href="/wiki/YouTube_Space" title="YouTube Space">YouTube Space</a></li> <li><a href="/wiki/YouTube_Theater" title="YouTube Theater">YouTube Theater</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Design</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>Fonts <ul><li><a href="/wiki/Croscore_fonts" title="Croscore fonts">Croscore</a></li> <li><a href="/wiki/Noto_fonts" title="Noto fonts">Noto</a></li> <li><a href="/wiki/Product_Sans" title="Product Sans">Product Sans</a></li> <li><a href="/wiki/Roboto" title="Roboto">Roboto</a></li></ul></li> <li><a href="/wiki/Google_logo" title="Google logo">Logo</a> <ul><li><a href="/wiki/Google_Doodle" title="Google Doodle">Doodle</a> <ul><li><i><a href="/wiki/Doodle_Champion_Island_Games" title="Doodle Champion Island Games">Doodle Champion Island Games</a></i></li> <li><i><a href="/wiki/Magic_Cat_Academy" title="Magic Cat Academy">Magic Cat Academy</a></i></li></ul></li></ul></li> <li><a href="/wiki/Material_Design" title="Material Design">Material Design</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Events</th><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><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>Android <ul><li><a href="/wiki/Android_Developer_Challenge" title="Android Developer Challenge">Developer Challenge</a></li> <li><a href="/wiki/Android_Developer_Day" title="Android Developer Day">Developer Day</a></li> <li><a href="/wiki/Android_Developer_Lab" title="Android Developer Lab">Developer Lab</a></li></ul></li> <li><a href="/wiki/Google_Code-in" title="Google Code-in">Code-in</a></li> <li><a href="/wiki/Google_Code_Jam" title="Google Code Jam">Code Jam</a></li> <li><i><a href="/wiki/Google_Developer_Day" title="Google Developer Day">Developer Day</a></i></li> <li><a href="/wiki/Google_Developers_Live" title="Google Developers Live">Developers Live</a></li> <li><a href="/wiki/Doodle4Google" title="Doodle4Google">Doodle4Google</a></li> <li><i><a href="/wiki/G-Day" title="G-Day">G-Day</a></i></li> <li><a href="/wiki/Google_I/O" title="Google I/O">I/O</a></li> <li><a href="/wiki/Jigsaw_(company)" title="Jigsaw (company)">Jigsaw</a></li> <li><i><a href="/wiki/Living_Stories" title="Living Stories">Living Stories</a></i></li> <li><i><a href="/wiki/Google_Lunar_X_Prize" title="Google Lunar X Prize">Lunar XPRIZE</a></i></li> <li><i><a href="/wiki/Google_Mapathon" title="Google Mapathon">Mapathon</a></i></li> <li><a href="/wiki/Google_Science_Fair" title="Google Science Fair">Science Fair</a></li> <li><a href="/wiki/Google_Summer_of_Code" title="Google Summer of Code">Summer of Code</a></li> <li><a href="/wiki/Talks_at_Google" class="mw-redirect" title="Talks at Google">Talks at Google</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">YouTube</th><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="/wiki/YouTube_Awards" title="YouTube Awards">Awards</a></li> <li><a href="/wiki/CNN/YouTube_presidential_debates" title="CNN/YouTube presidential debates">CNN/YouTube presidential debates</a></li> <li><a href="/wiki/YouTube_Comedy_Week" title="YouTube Comedy Week">Comedy Week</a></li> <li><a href="/wiki/YouTube_Live" title="YouTube Live">Live</a></li> <li><a href="/wiki/YouTube_Music_Awards" title="YouTube Music Awards">Music Awards</a></li> <li><a href="/wiki/YouTube_Space_Lab" title="YouTube Space Lab">Space Lab</a></li> <li><a href="/wiki/YouTube_Symphony_Orchestra" title="YouTube Symphony Orchestra">Symphony Orchestra</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Projects and<br />initiatives</th><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="/wiki/Side_project_time" title="Side project time">20% project</a></li> <li><a href="/wiki/Area_120" title="Area 120">Area 120</a> <ul><li><a href="/wiki/Reply_(Google)" title="Reply (Google)">Reply</a></li> <li><a href="/wiki/Tables_(Google)" title="Tables (Google)">Tables</a></li></ul></li> <li><a href="/wiki/Google_ATAP" title="Google ATAP">ATAP</a></li> <li><a href="/wiki/Google_Business_Groups" title="Google Business Groups">Business Groups</a></li> <li><i><a href="/wiki/IBM/Google_Cloud_Computing_University_Initiative" title="IBM/Google Cloud Computing University Initiative">Computing University Initiative</a></i></li> <li><a href="/wiki/Google_Data_Liberation_Front" title="Google Data Liberation Front">Data Liberation Front</a></li> <li><a href="/wiki/Data_Transfer_Project" title="Data Transfer Project">Data Transfer Project</a></li> <li><a href="/wiki/Google_Developer_Expert" title="Google Developer Expert">Developer Expert</a></li> <li><a href="/wiki/Google_Digital_Garage" title="Google Digital Garage">Digital Garage</a></li> <li><a href="/wiki/Digital_News_Initiative" title="Digital News Initiative">Digital News Initiative</a></li> <li><a href="/wiki/Digital_Unlocked" title="Digital Unlocked">Digital Unlocked</a></li> <li><i><a href="/wiki/Dragonfly_(search_engine)" title="Dragonfly (search engine)">Dragonfly</a></i></li> <li><i><a href="/wiki/Google_Founders%27_Award" title="Google Founders&#39; Award">Founders' Award</a></i></li> <li><i><a href="/wiki/Google_Free_Zone" title="Google Free Zone">Free Zone</a></i></li> <li><a href="/wiki/Google_Get_Your_Business_Online" title="Google Get Your Business Online">Get Your Business Online</a></li> <li><a href="/wiki/Google_for_Education" title="Google for Education">Google for Education</a></li> <li><a href="/wiki/Google_for_Startups" title="Google for Startups">Google for Startups</a></li> <li><a href="/wiki/Google_Labs" title="Google Labs">Labs</a></li> <li><a href="/wiki/Liquid_Galaxy" title="Liquid Galaxy">Liquid Galaxy</a></li> <li><a href="/wiki/Made_with_Code" title="Made with Code">Made with Code</a></li> <li><a href="/wiki/Google_M%C4%81ori" title="Google Māori">Māori</a></li> <li><i><a href="/wiki/Google_News_Lab" title="Google News Lab">News Lab</a></i></li> <li><a href="/wiki/Project_Nightingale" title="Project Nightingale">Nightingale</a></li> <li><a href="/wiki/Objectives_and_key_results" title="Objectives and key results">Objectives and key results</a></li> <li><i><a href="/wiki/Google_PowerMeter" title="Google PowerMeter">PowerMeter</a></i></li> <li><a href="/wiki/Privacy_Sandbox" title="Privacy Sandbox">Privacy Sandbox</a></li> <li><a href="/wiki/Quantum_Artificial_Intelligence_Lab" title="Quantum Artificial Intelligence Lab">Quantum Artificial Intelligence Lab</a></li> <li><a href="/wiki/RechargeIT" title="RechargeIT">RechargeIT</a></li> <li><a href="/wiki/Project_Shield" title="Project Shield">Shield</a></li> <li><a href="/wiki/Google_Silicon_Initiative" title="Google Silicon Initiative">Silicon Initiative</a></li> <li><i><a href="/wiki/Solve_for_X" title="Solve for X">Solve for X</a></i></li> <li><a href="/wiki/Project_Starline" title="Project Starline">Starline</a></li> <li><i><a href="/wiki/Google_Student_Ambassador_Program" title="Google Student Ambassador Program">Student Ambassador Program</a></i></li> <li>Submarine communications cables <ul><li><a href="/wiki/Dunant_(submarine_communications_cable)" title="Dunant (submarine communications cable)">Dunant</a></li> <li><a href="/wiki/Grace_Hopper_(submarine_communications_cable)" title="Grace Hopper (submarine communications cable)">Grace Hopper</a></li></ul></li> <li><a href="/wiki/Project_Sunroof" title="Project Sunroof">Sunroof</a></li> <li>YouTube <ul><li><a href="/wiki/YouTube_Creator_Awards" title="YouTube Creator Awards">Creator Awards</a></li> <li><a href="/wiki/YouTube_Next_Lab_and_Audience_Development_Group" title="YouTube Next Lab and Audience Development Group">Next Lab and Audience Development Group</a></li> <li><a href="/wiki/YouTube_Original_Channel_Initiative" title="YouTube Original Channel Initiative">Original Channel Initiative</a></li></ul></li> <li><a href="/wiki/Project_Zero" title="Project Zero">Zero</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Criticism_of_Google" title="Criticism of Google">Criticism</a></th><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><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/2018_Google_data_breach" title="2018 Google data breach">2018 data breach</a></li> <li><a href="/wiki/2018_Google_walkouts" title="2018 Google walkouts">2018 walkouts</a></li> <li><a href="/wiki/Alphabet_Workers_Union" title="Alphabet Workers Union">Alphabet Workers Union</a></li> <li><a href="/wiki/Censorship_by_Google" title="Censorship by Google">Censorship</a></li> <li><a href="/wiki/DeGoogle" title="DeGoogle">DeGoogle</a></li> <li><i><a href="/wiki/Dragonfly_(search_engine)" title="Dragonfly (search engine)">Dragonfly</a></i></li> <li><a href="/wiki/FairSearch" title="FairSearch">FairSearch</a></li> <li><a href="/wiki/Google%27s_Ideological_Echo_Chamber" title="Google&#39;s Ideological Echo Chamber">"Ideological Echo Chamber" memo</a></li> <li><a href="/wiki/Google_litigation" title="Google litigation">Litigation</a></li> <li><a href="/wiki/Privacy_concerns_with_Google" title="Privacy concerns with Google">Privacy concerns</a> <ul><li><a href="/wiki/Google_Street_View_privacy_concerns" title="Google Street View privacy concerns">Street View</a></li></ul></li> <li><a href="/wiki/San_Francisco_tech_bus_protests" title="San Francisco tech bus protests">San Francisco tech bus protests</a></li> <li><a href="/wiki/Google_services_outages" title="Google services outages">Services outages</a></li> <li><a href="/wiki/Smartphone_patent_wars" title="Smartphone patent wars">Smartphone patent wars</a></li> <li><a href="/wiki/Google_worker_organization" title="Google worker organization">Worker organization</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Criticism_of_Google#YouTube" title="Criticism of Google">YouTube</a></th><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="/wiki/2020_Korean_YouTube_backdoor_advertising_controversy" title="2020 Korean YouTube backdoor advertising controversy">Back advertisement controversy</a></li> <li><a href="/wiki/Censorship_by_Google#YouTube" title="Censorship by Google">Censorship</a></li> <li><a href="/wiki/YouTube_copyright_issues" title="YouTube copyright issues">Copyright issues</a></li> <li><a href="/wiki/YouTube_copyright_strike" title="YouTube copyright strike">Copyright strike</a></li> <li><a href="/wiki/Elsagate" title="Elsagate">Elsagate</a></li> <li><a href="/wiki/Fantastic_Adventures_scandal" title="Fantastic Adventures scandal">Fantastic Adventures scandal</a></li> <li><a href="/wiki/YouTube_headquarters_shooting" title="YouTube headquarters shooting">Headquarters shooting</a></li> <li><a href="/wiki/2012_Kohistan_video_case" title="2012 Kohistan video case">Kohistan video case</a></li> <li><a href="/wiki/Reactions_to_Innocence_of_Muslims" title="Reactions to Innocence of Muslims">Reactions to <i>Innocence of Muslims</i></a></li> <li><a href="/wiki/2011_Slovenian_YouTube_incident" title="2011 Slovenian YouTube incident">Slovenian government incident</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><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" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Development" style="font-size:114%;margin:0 4em"><a href="/wiki/Google_Developers" title="Google Developers">Development</a></div></th></tr><tr><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%">Operating systems</th><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="/wiki/Android_(operating_system)" title="Android (operating system)">Android</a> <ul><li><a href="/wiki/Android_Automotive" title="Android Automotive">Automotive</a></li> <li><a href="/wiki/Glass_OS" title="Glass OS">Glass OS</a></li> <li><a href="/wiki/Android_Go" title="Android Go">Go</a></li> <li><a href="/wiki/GLinux" title="GLinux">gLinux</a></li> <li><i><a href="/wiki/Goobuntu" title="Goobuntu">Goobuntu</a></i></li> <li><i><a href="/wiki/Android_Things" title="Android Things">Things</a></i></li> <li><a href="/wiki/Android_TV" title="Android TV">TV</a></li> <li><a href="/wiki/Wear_OS" title="Wear OS">Wear OS</a></li></ul></li> <li><a href="/wiki/ChromeOS" title="ChromeOS">ChromeOS</a> <ul><li><a href="/wiki/ChromiumOS" title="ChromiumOS">ChromiumOS</a></li> <li><a href="/wiki/Neverware" title="Neverware">Neverware</a></li></ul></li> <li><a href="/wiki/Fuchsia_(operating_system)" title="Fuchsia (operating system)">Fuchsia</a></li> <li><i><a href="/wiki/Google_TV_(operating_system)" title="Google TV (operating system)">TV</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Libraries/<br />frameworks</th><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="/wiki/ALTS" title="ALTS">ALTS</a></li> <li><a href="/wiki/Accelerated_Mobile_Pages" title="Accelerated Mobile Pages">AMP</a></li> <li><a href="/wiki/Angular_(web_framework)" title="Angular (web framework)">Angular</a> <ul><li><i><a href="/wiki/AngularJS" title="AngularJS">JS</a></i></li></ul></li> <li><a href="/wiki/ARCore" title="ARCore">ARCore</a></li> <li><a href="/wiki/Google_APIs" title="Google APIs">APIs</a></li> <li><a href="/wiki/Blockly" title="Blockly">Blockly</a></li> <li><a href="/wiki/Google_Chart_API" title="Google Chart API">Chart API</a></li> <li><a href="/wiki/Google_Charts" title="Google Charts">Charts</a></li> <li><a href="/wiki/Dialogflow" title="Dialogflow">Dialogflow</a></li> <li><a href="/wiki/Exposure_Notification" title="Exposure Notification">Exposure Notification</a></li> <li><a href="/wiki/Fast_Pair" title="Fast Pair">Fast Pair</a></li> <li><a href="/wiki/Federated_Learning_of_Cohorts" title="Federated Learning of Cohorts">Federated Learning of Cohorts</a></li> <li><a href="/wiki/Google_File_System" title="Google File System">File System</a></li> <li><a href="/wiki/FlatBuffers" title="FlatBuffers">FlatBuffers</a></li> <li><a href="/wiki/Flutter_(software)" title="Flutter (software)">Flutter</a></li> <li><i><a href="/wiki/Gears_(software)" title="Gears (software)">Gears</a></i></li> <li><a href="/wiki/GRPC" title="GRPC">gRPC</a></li> <li><a href="/wiki/Gson" title="Gson">Gson</a></li> <li><a href="/wiki/Google_Guava" title="Google Guava">Guava</a></li> <li><a href="/wiki/Google_Guice" title="Google Guice">Guice</a></li> <li><a href="/wiki/Guetzli" title="Guetzli">Guetzli</a></li> <li><a href="/wiki/Google_JAX" title="Google JAX">JAX</a></li> <li><a href="/wiki/GVisor" title="GVisor">gVisor</a></li> <li><a class="mw-selflink selflink">MapReduce</a></li> <li><a href="/wiki/Matter_(standard)" title="Matter (standard)">Matter</a></li> <li><a href="/wiki/Google_Mobile_Services" title="Google Mobile Services">Mobile Services</a></li> <li><a href="/wiki/Google_Neural_Machine_Translation" title="Google Neural Machine Translation">Neural Machine Translation</a></li> <li><a href="/wiki/OpenSocial" title="OpenSocial">OpenSocial</a></li> <li><i><a href="/wiki/Google_Pack" title="Google Pack">Pack</a></i></li> <li><a href="/wiki/Polymer_(library)" title="Polymer (library)">Polymer</a></li> <li><a href="/wiki/Protocol_Buffers" title="Protocol Buffers">Protocol Buffers</a></li> <li><i><a href="/wiki/Reqwireless" title="Reqwireless">Reqwireless</a></i></li> <li><a href="/wiki/Google_Shell" title="Google Shell">Shell</a></li> <li><a href="/wiki/Skia_Graphics_Engine" title="Skia Graphics Engine">Skia Graphics Engine</a></li> <li><i><a href="/wiki/Tango_(platform)" title="Tango (platform)">Tango</a></i></li> <li><a href="/wiki/TensorFlow" title="TensorFlow">TensorFlow</a></li> <li><a href="/wiki/Google_Test" title="Google Test">Test</a></li> <li><a href="/wiki/WaveNet" title="WaveNet">WaveNet</a></li> <li><a href="/wiki/Weave_(protocol)" title="Weave (protocol)">Weave</a></li> <li><i><a href="/wiki/Google_Web_Accelerator" title="Google Web Accelerator">Web Accelerator</a></i></li> <li><a href="/wiki/WebRTC" title="WebRTC">WebRTC</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Platforms</th><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><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Google_App_Engine" title="Google App Engine">App Engine</a></li> <li><i><a href="/wiki/AppJet" title="AppJet">AppJet</a></i></li> <li><a href="/wiki/Google_Apps_Script" title="Google Apps Script">Apps Script</a></li> <li><a href="/wiki/Google_Cloud_Platform" title="Google Cloud Platform">Cloud Platform</a> <ul><li><i><a href="/wiki/Anvato" title="Anvato">Anvato</a></i></li></ul></li> <li><a href="/wiki/Firebase" title="Firebase">Firebase</a> <ul><li><a href="/wiki/Firebase_Cloud_Messaging" title="Firebase Cloud Messaging">Cloud Messaging</a></li> <li><a href="/wiki/Crashlytics" title="Crashlytics">Crashlytics</a></li></ul></li> <li><i><a href="/wiki/Global_IP_Solutions" title="Global IP Solutions">Global IP Solutions</a></i> <ul><li><a href="/wiki/Internet_Low_Bitrate_Codec" title="Internet Low Bitrate Codec">Internet Low Bitrate Codec</a></li> <li><a href="/wiki/Internet_Speech_Audio_Codec" title="Internet Speech Audio Codec">Internet Speech Audio Codec</a></li></ul></li> <li><i><a href="/wiki/Gridcentric,_Inc." title="Gridcentric, Inc.">Gridcentric, Inc.</a></i></li> <li><a href="/wiki/ITA_Software" title="ITA Software">ITA Software</a></li> <li><a href="/wiki/Kubernetes" title="Kubernetes">Kubernetes</a></li> <li><a href="/wiki/LevelDB" title="LevelDB">LevelDB</a></li> <li><a href="/wiki/Neatx" title="Neatx">Neatx</a></li> <li><a href="/wiki/Project_IDX" title="Project IDX">Project IDX</a></li> <li><i><a href="/wiki/SageTV" title="SageTV">SageTV</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><i><a href="/wiki/Apigee" title="Apigee">Apigee</a></i></th><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="/wiki/Bigtable" title="Bigtable">Bigtable</a></li> <li><i><a href="/wiki/Bitium" title="Bitium">Bitium</a></i></li> <li><a href="/wiki/Chronicle_Security" title="Chronicle Security">Chronicle</a> <ul><li><a href="/wiki/VirusTotal" title="VirusTotal">VirusTotal</a></li></ul></li> <li><a href="/wiki/Google_Compute_Engine" title="Google Compute Engine">Compute Engine</a></li> <li><i><a href="/wiki/Google_Cloud_Connect" title="Google Cloud Connect">Connect</a></i></li> <li><a href="/wiki/Google_Cloud_Dataflow" title="Google Cloud Dataflow">Dataflow</a></li> <li><a href="/wiki/Google_Cloud_Datastore" title="Google Cloud Datastore">Datastore</a></li> <li><a href="/wiki/Kaggle" title="Kaggle">Kaggle</a></li> <li><a href="/wiki/Looker_(company)" title="Looker (company)">Looker</a></li> <li><a href="/wiki/Mandiant" title="Mandiant">Mandiant</a></li> <li><i><a href="/wiki/Google_Cloud_Messaging" title="Google Cloud Messaging">Messaging</a></i></li> <li><a href="/wiki/Orbitera" title="Orbitera">Orbitera</a></li> <li><a href="/wiki/Google_Cloud_Shell" title="Google Cloud Shell">Shell</a></li> <li><i><a href="/wiki/Stackdriver" title="Stackdriver">Stackdriver</a></i></li> <li><a href="/wiki/Google_Cloud_Storage" title="Google Cloud Storage">Storage</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Tools</th><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="/wiki/American_Fuzzy_Lop_(software)" title="American Fuzzy Lop (software)">American Fuzzy Lop</a></li> <li><i><a href="/wiki/Android_Cloud_to_Device_Messaging" title="Android Cloud to Device Messaging">Android Cloud to Device Messaging</a></i></li> <li><a href="/wiki/Android_Debug_Bridge" title="Android Debug Bridge">Android Debug Bridge</a></li> <li><a href="/wiki/Android_Studio" title="Android Studio">Android Studio</a></li> <li><i><a href="/wiki/Google_App_Maker" title="Google App Maker">App Maker</a></i></li> <li><a href="/wiki/Google_App_Runtime_for_Chrome" title="Google App Runtime for Chrome">App Runtime for Chrome</a></li> <li><a href="/wiki/AppSheet" title="AppSheet">AppSheet</a></li> <li><a href="/wiki/Bazel_(software)" title="Bazel (software)">Bazel</a></li> <li><i><a href="/wiki/Google_Chrome_Frame" title="Google Chrome Frame">Chrome Frame</a></i></li> <li><a href="/wiki/Google_Closure_Tools" title="Google Closure Tools">Closure Tools</a></li> <li><a href="/wiki/Cpplint" title="Cpplint">Cpplint</a></li> <li><a href="/wiki/Google_Data_Protocol" title="Google Data Protocol">Data Protocol</a></li> <li><a href="/wiki/Google_Gadgets" title="Google Gadgets">Gadgets</a></li> <li><a href="/wiki/Gerrit_(software)" title="Gerrit (software)">Gerrit</a></li> <li><a href="/wiki/GYP_(software)" title="GYP (software)">GYP</a></li> <li><a href="/wiki/Google_Kythe" title="Google Kythe">Kythe</a></li> <li><a href="/wiki/Google_Lighthouse" title="Google Lighthouse">Lighthouse</a></li> <li><a href="/wiki/MIT_App_Inventor" title="MIT App Inventor">MIT App Inventor</a></li> <li><i><a href="/wiki/Google_Mashup_Editor" title="Google Mashup Editor">Mashup Editor</a></i></li> <li><a href="/wiki/Google_Native_Client" title="Google Native Client">Native Client</a></li> <li><i><a href="/wiki/Google_Optimize" title="Google Optimize">Optimize</a></i></li> <li><a href="/wiki/OpenRefine" title="OpenRefine">OpenRefine</a></li> <li><a href="/wiki/OR-Tools" title="OR-Tools">OR-Tools</a></li> <li><a href="/wiki/Google_PageSpeed_Tools" title="Google PageSpeed Tools">PageSpeed</a></li> <li><i><a href="/wiki/Google_Plugin_for_Eclipse" title="Google Plugin for Eclipse">Plugin for Eclipse</a></i></li> <li><a href="/wiki/Google_Programmable_Search_Engine" title="Google Programmable Search Engine">Programmable Search Engine</a></li> <li><a href="/wiki/Google_Public_DNS" title="Google Public DNS">Public DNS</a></li> <li><a href="/wiki/ReCAPTCHA" title="ReCAPTCHA">reCAPTCHA</a></li> <li><a href="/wiki/Schema.org" title="Schema.org">Schema.org</a></li> <li><a href="/wiki/Google_Search_Console" title="Google Search Console">Search Console</a></li> <li><a href="/wiki/Sitemaps" title="Sitemaps">Sitemaps</a></li> <li><i><a href="/wiki/Google_Swiffy" title="Google Swiffy">Swiffy</a></i></li> <li><a href="/wiki/Tesseract_(software)" title="Tesseract (software)">Tesseract (software)</a></li> <li><a href="/wiki/Trendalyzer" title="Trendalyzer">Trendalyzer</a></li> <li><a href="/wiki/VisBug" title="VisBug">VisBug</a></li> <li><a href="/wiki/Google_Wave_Federation_Protocol" title="Google Wave Federation Protocol">Wave Federation Protocol</a></li> <li><a href="/wiki/Google_Web_Toolkit" title="Google Web Toolkit">Web Toolkit</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Search algorithms</th><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="/wiki/Google_Hummingbird" title="Google Hummingbird">Hummingbird</a></li> <li><a href="/wiki/PageRank" title="PageRank">PageRank</a> <ul><li><a href="/wiki/Google_matrix" title="Google matrix">Matrix</a></li></ul></li> <li><a href="/wiki/Google_Panda" title="Google Panda">Panda</a></li> <li><a href="/wiki/Google_Penguin" title="Google Penguin">Penguin</a></li> <li><a href="/wiki/Google_Pigeon" title="Google Pigeon">Pigeon</a></li> <li><a href="/wiki/RankBrain" title="RankBrain">RankBrain</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Others</th><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><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/BERT_(language_model)" title="BERT (language model)">BERT</a></li> <li><a href="/wiki/BigQuery" title="BigQuery">BigQuery</a></li> <li><a href="/wiki/Google_Chrome_Experiments" title="Google Chrome Experiments">Chrome Experiments</a></li> <li><i><a href="/wiki/Flutter_(American_company)" title="Flutter (American company)">Flutter</a></i></li> <li><a href="/wiki/Gemini_(language_model)" title="Gemini (language model)">Gemini</a></li> <li><a href="/wiki/Googlebot" title="Googlebot">Googlebot</a></li> <li><a href="/wiki/Keyhole_Markup_Language" title="Keyhole Markup Language">Keyhole Markup Language</a></li> <li><a href="/wiki/LaMDA" title="LaMDA">LaMDA</a></li> <li><a href="/wiki/Open_Location_Code" title="Open Location Code">Open Location Code</a></li> <li><a href="/wiki/PaLM" title="PaLM">PaLM</a></li> <li>Programming languages <ul><li><i><a href="/wiki/Caja_project" title="Caja project">Caja</a></i></li> <li><a href="/wiki/Carbon_(programming_language)" title="Carbon (programming language)">Carbon</a></li> <li><a href="/wiki/Dart_(programming_language)" title="Dart (programming language)">Dart</a></li> <li><a href="/wiki/Go_(programming_language)" title="Go (programming language)">Go</a></li> <li><i><a href="/wiki/Sawzall_(programming_language)" title="Sawzall (programming language)">Sawzall</a></i></li></ul></li> <li><a href="/wiki/Transformer_(deep_learning_architecture)" title="Transformer (deep learning architecture)">Transformer</a></li> <li><i><a href="/wiki/Viewdle" title="Viewdle">Viewdle</a></i></li> <li><a href="/wiki/Webdriver_Torso" title="Webdriver Torso">Webdriver Torso</a></li> <li><a href="/wiki/Google_Web_Server" title="Google Web Server">Web Server</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">File formats</th><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="/wiki/Android_App_Bundle" title="Android App Bundle">AAB</a></li> <li><a href="/wiki/Apk_(file_format)" title="Apk (file format)">APK</a> <ul><li><a href="/wiki/AV1" title="AV1">AV1</a></li></ul></li> <li><i><a href="/wiki/On2_Technologies" title="On2 Technologies">On2 Technologies</a></i> <ul><li><a href="/wiki/VP3" title="VP3">VP3</a></li> <li><a href="/wiki/VP6" title="VP6">VP6</a></li> <li><a href="/wiki/VP8" title="VP8">VP8</a> <ul><li><a href="/wiki/Libvpx" title="Libvpx">libvpx</a></li></ul></li></ul></li> <li><a href="/wiki/VP9" title="VP9">VP9</a></li> <li><a href="/wiki/WebM" title="WebM">WebM</a></li> <li><a href="/wiki/WebP" title="WebP">WebP</a></li> <li><a href="/wiki/Web_Open_Font_Format" title="Web Open Font Format">WOFF2</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><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" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Products" style="font-size:114%;margin:0 4em"><a href="/wiki/List_of_Google_products" title="List of Google products">Products</a></div></th></tr><tr><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%">Entertainment</th><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><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/Google_Currents_(news_app)" title="Google Currents (news app)">Currents (news app)</a></i></li> <li><a href="/wiki/Green_Throttle_Games" title="Green Throttle Games">Green Throttle Games</a></li> <li><a href="/wiki/Owlchemy_Labs" title="Owlchemy Labs">Owlchemy Labs</a></li> <li><i><a href="/wiki/Oyster_(company)" title="Oyster (company)">Oyster</a></i></li> <li><a href="/wiki/PaperofRecord.com" title="PaperofRecord.com">PaperofRecord.com</a></li> <li><i><a href="/wiki/Google_Podcasts" title="Google Podcasts">Podcasts</a></i></li> <li><a href="/wiki/Quick,_Draw!" title="Quick, Draw!">Quick, Draw!</a></li> <li><a href="/wiki/Google_Santa_Tracker" title="Google Santa Tracker">Santa Tracker</a></li> <li><i><a href="/wiki/Songza" title="Songza">Songza</a></i></li> <li><i><a href="/wiki/Google_Stadia" title="Google Stadia">Stadia</a></i> <ul><li><i><a href="/wiki/List_of_Stadia_games" title="List of Stadia games">games</a></i></li> <li><i><a href="/wiki/Typhoon_Studios" title="Typhoon Studios">Typhoon Studios</a></i></li></ul></li> <li><a href="/wiki/Google_TV_(service)" title="Google TV (service)">TV</a></li> <li><a href="/wiki/Vevo" title="Vevo">Vevo</a></li> <li><i><a href="/wiki/Google_Video" title="Google Video">Video</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Google_Play" title="Google Play">Play</a></th><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="/wiki/Google_Play_Books" title="Google Play Books">Books</a></li> <li><a href="/wiki/Google_Play_Games" title="Google Play Games">Games</a></li> <li><a href="/wiki/List_of_most-downloaded_Google_Play_applications" title="List of most-downloaded Google Play applications">most downloaded apps</a></li> <li><i><a href="/wiki/Google_Play_Music" title="Google Play Music">Music</a></i></li> <li><i><a href="/wiki/Google_Play_Newsstand" title="Google Play Newsstand">Newsstand</a></i></li> <li><a href="/wiki/Google_Play_Pass" title="Google Play Pass">Pass</a></li> <li><a href="/wiki/Google_Play_Services" title="Google Play Services">Services</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/YouTube" title="YouTube">YouTube</a></th><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="/wiki/BandPage" title="BandPage">BandPage</a></i></li> <li><a href="/wiki/YouTube_BrandConnect" title="YouTube BrandConnect">BrandConnect</a></li> <li><a href="/wiki/Content_ID" title="Content ID">Content ID</a></li> <li><a href="/wiki/YouTube_Instant" title="YouTube Instant">Instant</a></li> <li><a href="/wiki/YouTube_Kids" title="YouTube Kids">Kids</a></li> <li><a href="/wiki/YouTube_Music" title="YouTube Music">Music</a></li> <li><a href="/wiki/YouTube_(YouTube_channel)" title="YouTube (YouTube channel)">Official channel</a></li> <li><a href="/wiki/YouTube_Premium" title="YouTube Premium">Premium</a> <ul><li><a href="/wiki/List_of_YouTube_Premium_original_programming" title="List of YouTube Premium original programming">original programming</a></li></ul></li> <li><i><a href="/wiki/YouTube_Rewind" title="YouTube Rewind">YouTube Rewind</a></i></li> <li><i><a href="/wiki/RightsFlow" title="RightsFlow">RightsFlow</a></i></li> <li><a href="/wiki/YouTube_Select" title="YouTube Select">Select</a></li> <li><a href="/wiki/YouTube_Shorts" title="YouTube Shorts">Shorts</a></li> <li><a href="/wiki/YouTube_Studio" title="YouTube Studio">Studio</a></li> <li><a href="/wiki/YouTube_TV" title="YouTube TV">TV</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Communication</th><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="/wiki/Google_Allo" title="Google Allo">Allo</a></i></li> <li><i><a href="/wiki/Bump_(application)" title="Bump (application)">Bump</a></i></li> <li><i><a href="/wiki/Google_Buzz" title="Google Buzz">Buzz</a></i></li> <li><a href="/wiki/Google_Chat" title="Google Chat">Chat</a></li> <li><a href="/wiki/Google_Contacts" title="Google Contacts">Contacts</a></li> <li><i><a href="/wiki/Google_Currents_(social_app)" title="Google Currents (social app)">Currents (social app)</a></i></li> <li><i><a href="/wiki/Dodgeball_(service)" title="Dodgeball (service)">Dodgeball</a></i></li> <li><i><a href="/wiki/Google_Duo" title="Google Duo">Duo</a></i></li> <li><a href="/wiki/Google_Fi_Wireless" title="Google Fi Wireless">Fi Wireless</a></li> <li><i><a href="/wiki/Google_Friend_Connect" title="Google Friend Connect">Friend Connect</a></i></li> <li><i><a href="/wiki/Gizmo5" title="Gizmo5">Gizmo5</a></i></li> <li><i><a href="/wiki/Google%2B" title="Google+">Google+</a></i></li> <li><a href="/wiki/Gmail" title="Gmail">Gmail</a> <ul><li><a href="/wiki/History_of_Gmail" title="History of Gmail">History</a></li> <li><i><a href="/wiki/Inbox_by_Gmail" title="Inbox by Gmail">Inbox</a></i></li> <li><a href="/wiki/Gmail_interface" title="Gmail interface">Interface</a></li></ul></li> <li><a href="/wiki/Google_Groups" title="Google Groups">Groups</a></li> <li><i><a href="/wiki/Google_Hangouts" title="Google Hangouts">Hangouts</a></i></li> <li><i><a href="/wiki/Google_Helpouts" title="Google Helpouts">Helpouts</a></i></li> <li><a href="/wiki/Google_IME" title="Google IME">IME</a> <ul><li><a href="/wiki/Google_Japanese_Input" title="Google Japanese Input">Japanese</a></li> <li><i><a href="/wiki/Google_Pinyin" title="Google Pinyin">Pinyin</a></i></li></ul></li> <li><i><a href="/wiki/Jaiku" title="Jaiku">Jaiku</a></i></li> <li><i><a href="/wiki/Marratech" title="Marratech">Marratech</a></i></li> <li><i><a href="/wiki/Meebo" title="Meebo">Meebo</a></i></li> <li><a href="/wiki/Google_Meet" title="Google Meet">Meet</a></li> <li><a href="/wiki/Google_Messages" title="Google Messages">Messages</a></li> <li><i><a href="/wiki/Google_Moderator" title="Google Moderator">Moderator</a></i></li> <li><i><a href="/wiki/Neotonic_Software" title="Neotonic Software">Neotonic Software</a></i></li> <li><i><a href="/wiki/Orkut" title="Orkut">Orkut</a></i></li> <li><i><a href="/wiki/Postini" title="Postini">Postini</a></i></li> <li><i><a href="/wiki/Quest_Visual" title="Quest Visual">Quest Visual</a></i> <ul><li><i><a href="/wiki/Word_Lens" title="Word Lens">Word Lens</a></i></li></ul></li> <li><i><a href="/wiki/Google_Schemer" title="Google Schemer">Schemer</a></i></li> <li><i><a href="/wiki/Google_Spaces" title="Google Spaces">Spaces</a></i></li> <li><i><a href="/wiki/Sparrow_(email_client)" title="Sparrow (email client)">Sparrow</a></i></li> <li><i><a href="/wiki/Google_Talk" title="Google Talk">Talk</a></i></li> <li><a href="/wiki/Google_Translate" title="Google Translate">Translate</a> <ul><li><i><a href="/wiki/Google_Translator_Toolkit" title="Google Translator Toolkit">Translator Toolkit</a></i></li></ul></li> <li><a href="/wiki/Google_Voice" title="Google Voice">Voice</a></li> <li><i><a href="/wiki/GOOG-411" title="GOOG-411">Voice Local Search</a></i></li> <li><i><a href="/wiki/Google_Wave" title="Google Wave">Wave</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Google_Search" title="Google Search">Search</a></th><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="/wiki/Aardvark_(search_engine)" title="Aardvark (search engine)">Aardvark</a></i></li> <li><a href="/wiki/Google_Alerts" title="Google Alerts">Alerts</a></li> <li><i><a href="/wiki/Google_Answers" title="Google Answers">Answers</a></i></li> <li><i><a href="/wiki/Google_Base" title="Google Base">Base</a></i></li> <li><i><a href="/wiki/BeatThatQuote.com" title="BeatThatQuote.com">BeatThatQuote.com</a></i></li> <li><i><a href="/wiki/Google_Blog_Search" title="Google Blog Search">Blog Search</a></i></li> <li><a href="/wiki/Google_Books" title="Google Books">Books</a> <ul><li><a href="/wiki/Google_Books_Ngram_Viewer" title="Google Books Ngram Viewer">Ngram Viewer</a></li></ul></li> <li><i><a href="/wiki/Google_Code_Search" title="Google Code Search">Code Search</a></i></li> <li><a href="/wiki/Data_Commons" title="Data Commons">Data Commons</a></li> <li><a href="/wiki/Google_Dataset_Search" title="Google Dataset Search">Dataset Search</a></li> <li><a href="/wiki/Google_Dictionary" title="Google Dictionary">Dictionary</a></li> <li><i><a href="/wiki/Google_Directory" title="Google Directory">Directory</a></i></li> <li><i><a href="/wiki/Google_Fast_Flip" title="Google Fast Flip">Fast Flip</a></i></li> <li><i><a href="/wiki/Google_Flu_Trends" title="Google Flu Trends">Flu Trends</a></i></li> <li><a href="/wiki/Google_Finance" title="Google Finance">Finance</a></li> <li><i><a href="/wiki/Google_Goggles" title="Google Goggles">Goggles</a></i></li> <li><a href="/wiki/Google.by" title="Google.by">Google.by</a></li> <li><a href="/wiki/Google_Images" title="Google Images">Images</a> <ul><li><i><a href="/wiki/Google_Image_Labeler" title="Google Image Labeler">Image Labeler</a></i></li> <li><i><a href="/wiki/Google_Image_Swirl" title="Google Image Swirl">Image Swirl</a></i></li></ul></li> <li><i><a href="/wiki/Kaltix" title="Kaltix">Kaltix</a></i></li> <li><a href="/wiki/Google_Knowledge_Graph" title="Google Knowledge Graph">Knowledge Graph</a> <ul><li><i><a href="/wiki/Freebase_(database)" title="Freebase (database)">Freebase</a></i></li> <li><i><a href="/wiki/Metaweb" title="Metaweb">Metaweb</a></i></li></ul></li> <li><i><a href="/wiki/Like.com" title="Like.com">Like.com</a></i></li> <li><a href="/wiki/Google_News" title="Google News">News</a> <ul><li><a href="/wiki/Google_News_Archive" title="Google News Archive">Archive</a></li> <li><i><a href="/wiki/Google_News_%26_Weather" title="Google News &amp; Weather">Weather</a></i></li></ul></li> <li><a href="/wiki/Google_Patents" title="Google Patents">Patents</a></li> <li><a href="/wiki/People_Cards" title="People Cards">People Cards</a></li> <li><i><a href="/wiki/Google_Personalized_Search" title="Google Personalized Search">Personalized Search</a></i></li> <li><a href="/wiki/Google_Public_Data_Explorer" title="Google Public Data Explorer">Public Data Explorer</a></li> <li><i><a href="/wiki/Google_Questions_and_Answers" class="mw-redirect" title="Google Questions and Answers">Questions and Answers</a></i></li> <li><a href="/wiki/SafeSearch" title="SafeSearch">SafeSearch</a></li> <li><a href="/wiki/Google_Scholar" title="Google Scholar">Scholar</a></li> <li><i><a href="/wiki/Google_SearchWiki" title="Google SearchWiki">Searchwiki</a></i></li> <li><a href="/wiki/Google_Shopping" title="Google Shopping">Shopping</a></li> <li><i><a href="/wiki/Google_Catalogs" title="Google Catalogs">Catalogs</a></i> <ul><li><i><a href="/wiki/Google_Express" title="Google Express">Express</a></i></li></ul></li> <li><i><a href="/wiki/Google_Squared" title="Google Squared">Squared</a></i></li> <li><a href="/wiki/Tenor_(website)" title="Tenor (website)">Tenor</a></li> <li><a href="/wiki/Google_Travel" title="Google Travel">Travel</a> <ul><li><a href="/wiki/Google_Flights" title="Google Flights">Flights</a></li></ul></li> <li><a href="/wiki/Google_Trends" title="Google Trends">Trends</a> <ul><li><i><a href="/wiki/Google_Insights_for_Search" title="Google Insights for Search">Insights for Search</a></i></li></ul></li> <li><a href="/wiki/Google_Voice_Search" title="Google Voice Search">Voice Search</a></li> <li><i><a href="/wiki/WDYL_(search_engine)" title="WDYL (search engine)">WDYL</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Navigation</th><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="/wiki/Google_Earth" title="Google Earth">Earth</a></li> <li><a href="/wiki/Endoxon" title="Endoxon">Endoxon</a></li> <li><i><a href="/wiki/ImageAmerica" title="ImageAmerica">ImageAmerica</a></i></li> <li><a href="/wiki/Google_Maps" title="Google Maps">Maps</a> <ul><li><i><a href="/wiki/Google_Latitude" title="Google Latitude">Latitude</a></i></li> <li><i><a href="/wiki/Google_Map_Maker" title="Google Map Maker">Map Maker</a></i></li> <li><i><a href="/wiki/Google_Maps_Navigation" title="Google Maps Navigation">Navigation</a></i></li> <li><a href="/wiki/Google_Maps_pin" title="Google Maps pin">Pin</a></li> <li><a href="/wiki/Google_Street_View" title="Google Street View">Street View</a> <ul><li><a href="/wiki/Google_Street_View_coverage" title="Google Street View coverage">Coverage</a></li> <li><a href="/wiki/Street_View_Trusted" title="Street View Trusted">Trusted</a></li></ul></li></ul></li> <li><a href="/wiki/Waze" title="Waze">Waze</a></li> <li><a href="/wiki/Where_Is_My_Train" title="Where Is My Train">Where Is My Train</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Business<br />and finance</th><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="/wiki/Google_Ad_Manager" title="Google Ad Manager">Ad Manager</a></li> <li><a href="/wiki/AdMob" title="AdMob">AdMob</a></li> <li><a href="/wiki/Google_Ads" title="Google Ads">Ads</a></li> <li><a href="/wiki/Adscape" title="Adscape">Adscape</a></li> <li><a href="/wiki/Google_AdSense" title="Google AdSense">AdSense</a></li> <li><a href="/wiki/Google_Attribution" title="Google Attribution">Attribution</a></li> <li><i><a href="/wiki/BebaPay" title="BebaPay">BebaPay</a></i></li> <li><i><a href="/wiki/Google_Checkout" title="Google Checkout">Checkout</a></i></li> <li><i><a href="/wiki/Google_Contributor" title="Google Contributor">Contributor</a></i></li> <li><i><a href="/wiki/DoubleClick" title="DoubleClick">DoubleClick</a></i> <ul><li><i><a href="/wiki/Google_Affiliate_Network" title="Google Affiliate Network">Affiliate Network</a></i></li> <li><a href="/wiki/Invite_Media" title="Invite Media">Invite Media</a></li></ul></li> <li><a href="/wiki/Google_Analytics" title="Google Analytics">Marketing Platform</a> <ul><li><a href="/wiki/Google_Analytics" title="Google Analytics">Analytics</a></li> <li><a href="/wiki/Looker_Studio" title="Looker Studio">Looker Studio</a></li> <li><i><a href="/wiki/Urchin_(software)" title="Urchin (software)">Urchin</a></i></li></ul></li> <li><i><a href="/wiki/Google_Pay_(mobile_app)" title="Google Pay (mobile app)">Pay (mobile app)</a></i> <ul><li><a href="/wiki/Google_Wallet" title="Google Wallet">Wallet</a></li> <li><a href="/wiki/Google_Pay_(payment_method)" title="Google Pay (payment method)">Pay (payment method)</a></li> <li><i><a href="/wiki/Google_Pay_Send" title="Google Pay Send">Send</a></i></li> <li><i><a href="/wiki/Tez_(software)" title="Tez (software)">Tez</a></i></li></ul></li> <li><i><a href="/wiki/PostRank" title="PostRank">PostRank</a></i></li> <li><a href="/wiki/Google_Primer" title="Google Primer">Primer</a></li> <li><i><a href="/wiki/Softcard" title="Softcard">Softcard</a></i></li> <li><i><a href="/wiki/Wildfire_Interactive" title="Wildfire Interactive">Wildfire Interactive</a></i></li> <li><a href="/wiki/Widevine" title="Widevine">Widevine</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Organization<br />and productivity</th><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><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/Google_Bookmarks" title="Google Bookmarks">Bookmarks</a></i></li> <li><i><a href="/wiki/Google_Browser_Sync" title="Google Browser Sync">Browser Sync</a></i></li> <li><a href="/wiki/Google_Calendar" title="Google Calendar">Calendar</a></li> <li><a href="/wiki/Google_Cloud_Search" title="Google Cloud Search">Cloud Search</a></li> <li><i><a href="/wiki/Google_Desktop" title="Google Desktop">Desktop</a></i></li> <li><a href="/wiki/Google_Drive" title="Google Drive">Drive</a></li> <li><a href="/wiki/Etherpad" title="Etherpad">Etherpad</a></li> <li><i><a href="/wiki/Fflick" title="Fflick">fflick</a></i></li> <li><a href="/wiki/Files_(Google)" title="Files (Google)">Files</a></li> <li><i><a href="/wiki/IGoogle" title="IGoogle">iGoogle</a></i></li> <li><i><a href="/wiki/Jamboard" title="Jamboard">Jamboard</a></i></li> <li><i><a href="/wiki/Google_Notebook" title="Google Notebook">Notebook</a></i></li> <li><a href="/wiki/NotebookLM" title="NotebookLM">NotebookLM</a></li> <li><a href="/wiki/Google_One" title="Google One">One</a></li> <li><a href="/wiki/Google_Photos" title="Google Photos">Photos</a></li> <li><i><a href="/wiki/Quickoffice" title="Quickoffice">Quickoffice</a></i></li> <li><i><a href="/wiki/Google_Quick_Search_Box" title="Google Quick Search Box">Quick Search Box</a></i></li> <li><a href="/wiki/Google_Surveys" title="Google Surveys">Surveys</a></li> <li><i><a href="/wiki/Google_Sync" title="Google Sync">Sync</a></i></li> <li><a href="/wiki/Google_Tasks" title="Google Tasks">Tasks</a></li> <li><i><a href="/wiki/Google_Toolbar" title="Google Toolbar">Toolbar</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Google_Docs_Editors" title="Google Docs Editors">Docs Editors</a></th><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="/wiki/Google_Docs" title="Google Docs">Docs</a></li> <li><a href="/wiki/Google_Drawings" title="Google Drawings">Drawings</a></li> <li><a href="/wiki/Google_Forms" title="Google Forms">Forms</a></li> <li><i><a href="/wiki/Google_Fusion_Tables" title="Google Fusion Tables">Fusion Tables</a></i></li> <li><a href="/wiki/Google_Keep" title="Google Keep">Keep</a></li> <li><a href="/wiki/Google_Sheets" title="Google Sheets">Sheets</a></li> <li><a href="/wiki/Google_Slides" title="Google Slides">Slides</a></li> <li><a href="/wiki/Google_Sites" title="Google Sites">Sites</a></li> <li><a href="/wiki/Google_Vids" title="Google Vids">Vids</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Publishing</th><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="/wiki/Apture" title="Apture">Apture</a></i></li> <li><a href="/wiki/Blogger_(service)" title="Blogger (service)">Blogger</a> <ul><li><a href="/wiki/Pyra_Labs" title="Pyra Labs">Pyra Labs</a></li></ul></li> <li><i><a href="/wiki/Google_Domains" title="Google Domains">Domains</a></i></li> <li><a href="/wiki/FeedBurner" title="FeedBurner">FeedBurner</a></li> <li><i><a href="/wiki/Google_One_Pass" title="Google One Pass">One Pass</a></i></li> <li><i><a href="/wiki/Google_Page_Creator" title="Google Page Creator">Page Creator</a></i></li> <li><a href="/wiki/Google_Sites" title="Google Sites">Sites</a></li> <li><a href="/wiki/Google_Web_Designer" title="Google Web Designer">Web Designer</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Education</th><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="/wiki/Google_Classroom" title="Google Classroom">Classroom</a></li> <li><i><a href="/wiki/Grasshopper_(mobile_app)" title="Grasshopper (mobile app)">Grasshopper</a></i></li> <li><a href="/wiki/Socratic_(Google)" title="Socratic (Google)">Socratic</a></li> <li><a href="/wiki/Photomath" title="Photomath">Photomath</a></li> <li><a href="/wiki/Read_Along" title="Read Along">Read Along</a></li> <li><a href="/wiki/Toontastic_3D" title="Toontastic 3D">Toontastic 3D</a></li> <li><a href="/wiki/Google_Workspace" title="Google Workspace">Workspace</a> <ul><li><a href="/wiki/Google_Workspace_Marketplace" title="Google Workspace Marketplace">Marketplace</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Others</th><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><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Google_Account" title="Google Account">Account</a> <ul><li><a href="/wiki/Google_Dashboard" title="Google Dashboard">Dashboard</a></li> <li><a href="/wiki/Google_Takeout" title="Google Takeout">Takeout</a></li></ul></li> <li><a href="/wiki/Android_Auto" title="Android Auto">Android Auto</a></li> <li><i><a href="/wiki/Android_Beam" title="Android Beam">Android Beam</a></i></li> <li><a href="/wiki/Google_Arts_%26_Culture" title="Google Arts &amp; Culture">Arts &amp; Culture</a></li> <li><a href="/wiki/Google_Assistant" title="Google Assistant">Assistant</a></li> <li><a href="/wiki/Google_Authenticator" title="Google Authenticator">Authenticator</a></li> <li><i><a href="/wiki/ZygoteBody" title="ZygoteBody">Body</a></i></li> <li><i><a href="/wiki/BufferBox" title="BufferBox">BufferBox</a></i></li> <li><i><a href="/wiki/Google_Building_Maker" title="Google Building Maker">Building Maker</a></i></li> <li><i><a href="/wiki/BumpTop" title="BumpTop">BumpTop</a></i></li> <li><a href="/wiki/Google_Cast" title="Google Cast">Cast</a></li> <li><i><a href="/wiki/Google_Cloud_Print" title="Google Cloud Print">Cloud Print</a></i></li> <li><a href="/wiki/Crowdsource_(app)" title="Crowdsource (app)">Crowdsource</a></li> <li><a href="/wiki/Digital_Wellbeing" title="Digital Wellbeing">Digital Wellbeing</a></li> <li><i><a href="/wiki/Google_Expeditions" title="Google Expeditions">Expeditions</a></i></li> <li><a href="/wiki/Google_Family_Link" title="Google Family Link">Family Link</a></li> <li><a href="/wiki/Find_My_Device" title="Find My Device">Find My Device</a></li> <li><a href="/wiki/Google_Fit" title="Google Fit">Fit</a></li> <li><a href="/wiki/Google_Fonts" title="Google Fonts">Google Fonts</a></li> <li><a href="/wiki/Gboard" title="Gboard">Gboard</a></li> <li><a href="/wiki/Gemini_(chatbot)" title="Gemini (chatbot)">Gemini</a></li> <li><i><a href="/wiki/Google_Gesture_Search" title="Google Gesture Search">Gesture Search</a></i></li> <li><i><a href="/wiki/Impermium" title="Impermium">Impermium</a></i></li> <li><i><a href="/wiki/Knol" title="Knol">Knol</a></i></li> <li><i><a href="/wiki/Google_Lively" title="Google Lively">Lively</a></i></li> <li><a href="/wiki/Live_Transcribe" title="Live Transcribe">Live Transcribe</a></li> <li><i><a href="/wiki/MyTracks" title="MyTracks">MyTracks</a></i></li> <li><i><a href="/wiki/Nearby_Share" title="Nearby Share">Nearby Share</a></i></li> <li><a href="/wiki/Google_Now" title="Google Now">Now</a></li> <li><i><a href="/wiki/Google_Offers" title="Google Offers">Offers</a></i></li> <li><a href="/wiki/Google_Opinion_Rewards" title="Google Opinion Rewards">Opinion Rewards</a></li> <li><a href="/wiki/Google_Person_Finder" title="Google Person Finder">Person Finder</a></li> <li><i><a href="/wiki/Poly_(website)" title="Poly (website)">Poly</a></i></li> <li><a href="/wiki/Google_Question_Hub" title="Google Question Hub">Question Hub</a></li> <li><a href="/wiki/Quick_Share" title="Quick Share">Quick Share</a></li> <li><i><a href="/wiki/Google_Reader" title="Google Reader">Reader</a></i></li> <li><a href="/wiki/Google_Safe_Browsing" title="Google Safe Browsing">Safe Browsing</a></li> <li><i><a href="/wiki/Google_Sidewiki" title="Google Sidewiki">Sidewiki</a></i></li> <li><i><a href="/wiki/SlickLogin" title="SlickLogin">SlickLogin</a></i></li> <li><a href="/wiki/Sound_Amplifier" title="Sound Amplifier">Sound Amplifier</a></li> <li><a href="/wiki/Speech_Recognition_%26_Synthesis" title="Speech Recognition &amp; Synthesis">Speech Recognition &amp; Synthesis</a></li> <li><i><a href="/wiki/Google_Station" title="Google Station">Station</a></i></li> <li><a href="/wiki/Google_Store" title="Google Store">Store</a></li> <li><a href="/wiki/TalkBack" title="TalkBack">TalkBack</a></li> <li><i><a href="/wiki/Tilt_Brush" title="Tilt Brush">Tilt Brush</a></i></li> <li><i><a href="/wiki/Google_URL_Shortener" title="Google URL Shortener">URL Shortener</a></i></li> <li><a href="/wiki/Voice_Access" title="Voice Access">Voice Access</a></li> <li><i><a href="/wiki/Wavii" title="Wavii">Wavii</a></i></li> <li><a href="/wiki/Google_Web_Light" title="Google Web Light">Web Light</a></li> <li><i><a href="/wiki/Google_WiFi" title="Google WiFi">WiFi</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Google_Chrome" title="Google Chrome">Chrome</a></th><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="/wiki/Google_Chrome_App" title="Google Chrome App">Apps</a></i></li> <li><a href="/wiki/Chromium_(web_browser)" title="Chromium (web browser)">Chromium</a></li> <li><a href="/wiki/Dinosaur_Game" title="Dinosaur Game">Dinosaur Game</a></li> <li><i><a href="/wiki/GreenBorder" title="GreenBorder">GreenBorder</a></i></li> <li><a href="/wiki/Chrome_Remote_Desktop" title="Chrome Remote Desktop">Remote Desktop</a></li> <li><a href="/wiki/Chrome_Web_Store" title="Chrome Web Store">Web Store</a></li> <li><a href="/wiki/V8_(JavaScript_engine)" title="V8 (JavaScript engine)">V8</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Images and<br />photography</th><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="/wiki/Pixel_Camera" title="Pixel Camera">Camera</a></li> <li><a href="/wiki/Google_Lens" title="Google Lens">Lens</a></li> <li><a href="/wiki/Snapseed" title="Snapseed">Snapseed</a> <ul><li><i><a href="/wiki/Nik_Software" title="Nik Software">Nik Software</a></i></li></ul></li> <li><i><a href="/wiki/Panoramio" title="Panoramio">Panoramio</a></i></li> <li><a href="/wiki/Google_Photos" title="Google Photos">Photos</a></li> <li><i><a href="/wiki/Picasa" title="Picasa">Picasa</a></i> <ul><li><i><a href="/wiki/Picasa_Web_Albums" title="Picasa Web Albums">Web Albums</a></i></li></ul></li> <li><i><a href="/wiki/Picnik" title="Picnik">Picnik</a></i></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><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" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Hardware" style="font-size:114%;margin:0 4em">Hardware</div></th></tr><tr><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%">Smartphones</th><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="/wiki/Android_Dev_Phone" title="Android Dev Phone">Android Dev Phone</a></i></li> <li><a href="/wiki/Android_One" title="Android One">Android One</a></li> <li><i><a href="/wiki/Google_Nexus" title="Google Nexus">Nexus</a></i> <ul><li><a href="/wiki/Nexus_One" title="Nexus One">Nexus One</a></li> <li><a href="/wiki/Nexus_S" title="Nexus S">S</a></li> <li><a href="/wiki/Galaxy_Nexus" title="Galaxy Nexus">Galaxy Nexus</a></li> <li><a href="/wiki/Nexus_4" title="Nexus 4">4</a></li> <li><a href="/wiki/Nexus_5" title="Nexus 5">5</a></li> <li><a href="/wiki/Nexus_6" title="Nexus 6">6</a></li> <li><a href="/wiki/Nexus_5X" title="Nexus 5X">5X</a></li> <li><a href="/wiki/Nexus_6P" title="Nexus 6P">6P</a></li> <li><a href="/wiki/Comparison_of_Google_Nexus_smartphones" title="Comparison of Google Nexus smartphones">Comparison</a></li></ul></li> <li><a href="/wiki/Google_Pixel" title="Google Pixel">Pixel</a> <ul><li><a href="/wiki/Pixel_(1st_generation)" title="Pixel (1st generation)">Pixel</a></li> <li><a href="/wiki/Pixel_2" title="Pixel 2">2</a></li> <li><a href="/wiki/Pixel_3" title="Pixel 3">3</a></li> <li><a href="/wiki/Pixel_3a" title="Pixel 3a">3a</a></li> <li><a href="/wiki/Pixel_4" title="Pixel 4">4</a></li> <li><a href="/wiki/Pixel_4a" title="Pixel 4a">4a</a></li> <li><a href="/wiki/Pixel_5" title="Pixel 5">5</a></li> <li><a href="/wiki/Pixel_5a" title="Pixel 5a">5a</a></li> <li><a href="/wiki/Pixel_6" title="Pixel 6">6</a></li> <li><a href="/wiki/Pixel_6a" title="Pixel 6a">6a</a></li> <li><a href="/wiki/Pixel_7" title="Pixel 7">7</a></li> <li><a href="/wiki/Pixel_7a" title="Pixel 7a">7a</a></li> <li><a href="/wiki/Pixel_Fold" title="Pixel Fold">Fold</a></li> <li><a href="/wiki/Pixel_8" title="Pixel 8">8</a></li> <li><a href="/wiki/Pixel_8a" title="Pixel 8a">8a</a></li> <li><a href="/wiki/Pixel_9" title="Pixel 9">Pixel 9</a></li> <li><a href="/wiki/Pixel_9_Pro_Fold" title="Pixel 9 Pro Fold">Pixel 9 Pro Fold</a></li> <li><a href="/wiki/Comparison_of_Google_Pixel_smartphones" title="Comparison of Google Pixel smartphones">Comparison</a></li></ul></li> <li><i><a href="/wiki/List_of_Google_Play_edition_devices" title="List of Google Play edition devices">Play Edition</a></i></li> <li><i><a href="/wiki/Project_Ara" title="Project Ara">Project Ara</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Laptops and tablets</th><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="/wiki/Chromebook" title="Chromebook">Chromebook</a></li> <li><i><a href="/wiki/Google_Nexus" title="Google Nexus">Nexus</a></i> <ul><li><a href="/wiki/Nexus_7_(2012)" title="Nexus 7 (2012)">7 (2012)</a></li> <li><a href="/wiki/Nexus_7_(2013)" title="Nexus 7 (2013)">7 (2013)</a></li> <li><a href="/wiki/Nexus_10" title="Nexus 10">10</a></li> <li><a href="/wiki/Nexus_9" title="Nexus 9">9</a></li> <li><a href="/wiki/Comparison_of_Google_Nexus_tablets" title="Comparison of Google Nexus tablets">Comparison</a></li></ul></li> <li><a href="/wiki/Google_Pixel" title="Google Pixel">Pixel</a> <ul><li><a href="/wiki/Chromebook_Pixel" title="Chromebook Pixel">Chromebook Pixel</a></li> <li><a href="/wiki/Pixelbook" title="Pixelbook">Pixelbook</a></li> <li><a href="/wiki/Pixelbook_Go" title="Pixelbook Go">Pixelbook Go</a></li> <li><a href="/wiki/Pixel_C" title="Pixel C">C</a></li> <li><a href="/wiki/Pixel_Slate" title="Pixel Slate">Slate</a></li> <li><a href="/wiki/Pixel_Tablet" title="Pixel Tablet">Tablet</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Wearables</th><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="/wiki/Fitbit" title="Fitbit">Fitbit</a> <ul><li><a href="/wiki/List_of_Fitbit_products" title="List of Fitbit products">List of products</a></li></ul></li> <li><a href="/wiki/Pixel_Buds" title="Pixel Buds">Pixel Buds</a></li> <li><a href="/wiki/Pixel_Watch" title="Pixel Watch">Pixel Watch</a></li> <li><a href="/wiki/Pixel_Watch_2" title="Pixel Watch 2">Pixel Watch 2</a></li> <li><a href="/wiki/Pixel_Watch_3" title="Pixel Watch 3">Pixel Watch 3</a></li> <li><a href="/wiki/Project_Iris" title="Project Iris">Project Iris</a> (unreleased)</li> <li>Virtual reality <ul><li><i><a href="/wiki/Google_Cardboard" title="Google Cardboard">Cardboard</a></i></li> <li><i><a href="/wiki/Google_Contact_Lens" title="Google Contact Lens">Contact Lens</a></i></li> <li><i><a href="/wiki/Google_Daydream" title="Google Daydream">Daydream</a></i></li> <li><a href="/wiki/Google_Glass" title="Google Glass">Glass</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Others</th><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="/wiki/Chromebit" title="Chromebit">Chromebit</a></li> <li><a href="/wiki/Chromebox" title="Chromebox">Chromebox</a></li> <li><i><a href="/wiki/Google_Clips" title="Google Clips">Clips</a></i></li> <li>Digital media players <ul><li><i><a href="/wiki/Chromecast" title="Chromecast">Chromecast</a></i></li> <li><i><a href="/wiki/Nexus_Player" title="Nexus Player">Nexus Player</a></i></li> <li><i><a href="/wiki/Nexus_Q" title="Nexus Q">Nexus Q</a></i></li></ul></li> <li><i><a href="/wiki/Dropcam" title="Dropcam">Dropcam</a></i></li> <li><a href="/wiki/Liquid_Galaxy" title="Liquid Galaxy">Liquid Galaxy</a></li> <li><a href="/wiki/Google_Nest" title="Google Nest">Nest</a> <ul><li><a href="/wiki/Google_Nest_(smart_speakers)" title="Google Nest (smart speakers)">Smart Speakers</a></li> <li><a href="/wiki/Nest_Thermostat" title="Nest Thermostat">Thermostat</a></li> <li><a href="/wiki/Nest_Wifi" title="Nest Wifi">Wifi</a></li></ul></li> <li><i><a href="/wiki/Google_OnHub" title="Google OnHub">OnHub</a></i></li> <li><i><a href="/wiki/Pixel_Visual_Core" title="Pixel Visual Core">Pixel Visual Core</a></i></li> <li><i><a href="/wiki/Google_Search_Appliance" title="Google Search Appliance">Search Appliance</a></i></li> <li><a href="/wiki/Sycamore_processor" title="Sycamore processor">Sycamore processor</a></li> <li><a href="/wiki/Google_Tensor" title="Google Tensor">Tensor</a></li> <li><a href="/wiki/Tensor_Processing_Unit" title="Tensor Processing Unit">Tensor Processing Unit</a></li> <li><a href="/wiki/Titan_Security_Key" title="Titan Security Key">Titan Security Key</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><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" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Google_litigation" title="Template:Google litigation"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Google_litigation" title="Template talk:Google litigation"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Google_litigation" title="Special:EditPage/Template:Google litigation"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Litigation" style="font-size:114%;margin:0 4em"><a href="/wiki/Google_litigation" title="Google litigation">Litigation</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Advertising</th><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="/wiki/Feldman_v._Google,_Inc." title="Feldman v. Google, Inc.">Feldman v. Google, Inc.</a></i> (2007)</li> <li><i><a href="/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="/wiki/Goddard_v._Google,_Inc." title="Goddard v. Google, Inc.">Goddard v. Google, Inc.</a></i> (2009)</li> <li><i><a href="/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="/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="/wiki/Jedi_Blue" title="Jedi Blue">Jedi Blue</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Antitrust</th><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="/wiki/Antitrust_cases_against_Google_by_the_European_Union" title="Antitrust cases against Google by the European Union">European Union</a> (2010–present)</li> <li><i><a href="/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="/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="/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="/wiki/United_States_v._Google_LLC_(2023)" title="United States v. Google LLC (2023)">United States v. Google LLC</a></i> (2023)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Intellectual property</th><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="/wiki/Perfect_10,_Inc._v._Amazon.com,_Inc." title="Perfect 10, Inc. v. Amazon.com, Inc.">Perfect 10, Inc. v. Amazon.com, Inc.</a> and A9.com Inc. and Google Inc.</i> (2007)</li> <li><i><a href="/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="/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="/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="/wiki/Field_v._Google,_Inc." title="Field v. Google, Inc.">Field v. Google, Inc.</a></i> (2016)</li> <li><i><a href="/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="/wiki/Smartphone_patent_wars" title="Smartphone patent wars">Smartphone patent wars</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Privacy</th><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="/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="/wiki/Hibnick_v._Google,_Inc." title="Hibnick v. Google, Inc.">Hibnick v. Google, Inc.</a></i> (2010)</li> <li><i><a href="/wiki/United_States_v._Google_Inc." title="United States v. Google Inc.">United States v. Google Inc.</a></i> (2012)</li> <li><a href="/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&#39;s autocomplete function">Judgement of the German Federal Court of Justice on Google's autocomplete function</a> (2013)</li> <li><i><a href="/wiki/Joffe_v._Google,_Inc." title="Joffe v. Google, Inc.">Joffe v. Google, Inc.</a></i> (2013)</li> <li><i><a href="/wiki/Mosley_v_SARL_Google" title="Mosley v SARL Google">Mosley v SARL Google</a></i> (2013)</li> <li><i><a href="/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="/wiki/Frank_v._Gaos" title="Frank v. Gaos">Frank v. Gaos</a></i> (2019)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><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="/wiki/Garcia_v._Google,_Inc." title="Garcia v. Google, Inc.">Garcia v. Google, Inc.</a></i> (2015)</li> <li><i><a href="/wiki/Google_LLC_v_Defteros" title="Google LLC v Defteros">Google LLC v Defteros</a></i> (2020)</li> <li><i><a href="/wiki/Epic_Games_v._Google" title="Epic Games v. Google">Epic Games v. Google</a></i> (2021)</li> <li><i><a href="/wiki/Gonzalez_v._Google_LLC" title="Gonzalez v. Google LLC">Gonzalez v. Google LLC</a></i> (2022)</li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Google_litigation" title="Category:Google litigation">Category</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><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" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Related" style="font-size:114%;margin:0 4em">Related</div></th></tr><tr><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%">Terms and phrases</th><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="/wiki/Don%27t_be_evil" title="Don&#39;t be evil">Don't be evil</a>"</li> <li><a href="/wiki/Gayglers" title="Gayglers">Gayglers</a></li> <li><a href="/wiki/Google_(verb)" title="Google (verb)">Google (verb)</a></li> <li><a href="/wiki/Google_bombing" title="Google bombing">Google bombing</a> <ul><li><a href="/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></li></ul></li> <li><a href="/wiki/Google_effect" title="Google effect">Google effect</a></li> <li><a href="/wiki/Googlefight" title="Googlefight">Googlefight</a></li> <li><a href="/wiki/Google_hacking" title="Google hacking">Google hacking</a></li> <li><a href="/wiki/Googleshare" title="Googleshare">Googleshare</a></li> <li><a href="/wiki/Google_tax" title="Google tax">Google tax</a></li> <li><a href="/wiki/Googlewhack" title="Googlewhack">Googlewhack</a></li> <li><a href="/wiki/Googlization" title="Googlization">Googlization</a></li> <li>"<a href="/wiki/Illegal_flower_tribute" title="Illegal flower tribute">Illegal flower tribute</a>"</li> <li><a href="/wiki/Rooting_(Android)" title="Rooting (Android)">Rooting</a></li> <li><a href="/wiki/Search_engine_manipulation_effect" title="Search engine manipulation effect">Search engine manipulation effect</a></li> <li><a href="/wiki/Sitelink" title="Sitelink">Sitelink</a></li> <li><a href="/wiki/Site_reliability_engineering" title="Site reliability engineering">Site reliability engineering</a></li> <li><a href="/wiki/YouTube_poop" title="YouTube poop">YouTube poop</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Category:Documentary_films_about_Google" title="Category:Documentary films about Google">Documentaries</a></th><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="/wiki/AlphaGo_(film)" title="AlphaGo (film)">AlphaGo</a></i></li> <li><i><a href="/wiki/Google_Behind_the_Screen" title="Google Behind the Screen">Google: Behind the Screen</a></i></li> <li><i><a href="/wiki/Google_Maps_Road_Trip" title="Google Maps Road Trip">Google Maps Road Trip</a></i></li> <li><i><a href="/wiki/Google_and_the_World_Brain" title="Google and the World Brain">Google and the World Brain</a></i></li> <li><i><a href="/wiki/The_Creepy_Line" title="The Creepy Line">The Creepy Line</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Category:Books_about_Google" title="Category:Books about Google">Books</a></th><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="/wiki/Google_Hacks" title="Google Hacks">Google Hacks</a></i></li> <li><i><a href="/wiki/The_Google_Story" title="The Google Story">The Google Story</a></i></li> <li><i><a href="/wiki/Google_Volume_One" title="Google Volume One">Google Volume One</a></i></li> <li><i><a href="/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="/wiki/How_Google_Works" title="How Google Works">How Google Works</a></i></li> <li><i><a href="/wiki/I%27m_Feeling_Lucky_(book)" title="I&#39;m Feeling Lucky (book)">I'm Feeling Lucky</a></i></li> <li><i><a href="/wiki/In_the_Plex" title="In the Plex">In the Plex</a></i></li> <li><i><a href="/wiki/The_Google_Book" title="The Google Book">The Google Book</a></i></li> <li><i><a href="/wiki/The_MANIAC" title="The MANIAC">The MANIAC</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Popular culture</th><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="/wiki/Google_Feud" title="Google Feud">Google Feud</a></i></li> <li><a href="/wiki/Google_Me_(film)" title="Google Me (film)"><i>Google Me</i> (film)</a></li> <li><a href="/wiki/Google_Me_(Kim_Zolciak_song)" title="Google Me (Kim Zolciak song)">"Google Me" (Kim Zolciak song)</a></li> <li><a href="/wiki/Google_Me_(Teyana_Taylor_song)" title="Google Me (Teyana Taylor song)">"Google Me" (Teyana Taylor song)</a></li> <li><i><a href="/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="/wiki/Proceratium_google" title="Proceratium google">Proceratium google</a></i></li> <li><i><a href="/wiki/Matt_Nathanson:_Live_at_Google" title="Matt Nathanson: Live at Google">Matt Nathanson: Live at Google</a></i></li> <li><i><a href="/wiki/The_Billion_Dollar_Code" title="The Billion Dollar Code">The Billion Dollar Code</a></i></li> <li><i><a href="/wiki/The_Internship" title="The Internship">The Internship</a></i></li> <li><i><a href="/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></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Others</th><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="/wiki/Attention_Is_All_You_Need" title="Attention Is All You Need">Attention Is All You Need</a>"</li> <li><a href="/wiki/ElgooG" title="ElgooG">elgooG</a></li> <li><a href="/wiki/Predictions_of_the_end_of_Google" title="Predictions of the end of Google">Predictions of the end</a></li> <li><a href="/wiki/Google_Registry" title="Google Registry">Registry</a> <ul><li><a href="/wiki/.app_(top-level_domain)" title=".app (top-level domain)">.app (top-level domain)</a></li> <li><a href="/wiki/.dev" title=".dev">.dev</a></li> <li><a href="/wiki/G.co" title="G.co">g.co</a></li> <li><a href="/wiki/.google" title=".google">.google</a></li></ul></li> <li><a href="/wiki/Pimp_My_Search" title="Pimp My Search">Pimp My Search</a></li> <li><a href="/wiki/Relationship_between_Google_and_Wikipedia" title="Relationship between Google and Wikipedia">Relationship with Wikipedia</a></li> <li><a href="/wiki/Sensorvault" title="Sensorvault">Sensorvault</a></li> <li><a href="/wiki/Stanford_Digital_Library_Project" title="Stanford Digital Library Project">Stanford Digital Library Project</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><i>Italics</i> indicate <a href="/wiki/List_of_Google_products#Discontinued_products_and_services" title="List of Google products">discontinued products or services</a>.</li> <li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Google" title="Category:Google">Category</a></li> <li><span class="noviewer" typeof="mw:File"><span title="Commons page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span> <a href="https://commons.wikimedia.org/wiki/Category:Google" class="extiw" title="commons:Category:Google">Commons</a></li> <li><span class="noviewer" typeof="mw:File"><span title="Outline"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Global_thinking.svg/10px-Global_thinking.svg.png" decoding="async" width="10" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Global_thinking.svg/15px-Global_thinking.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/41/Global_thinking.svg/21px-Global_thinking.svg.png 2x" data-file-width="130" data-file-height="200" /></span></span> <a href="/wiki/Outline_of_Google" title="Outline of Google">Outline</a></li> <li><span class="noviewer" typeof="mw:File"><span title="Project page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/7/72/Symbol_project_class.svg/16px-Symbol_project_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/7/72/Symbol_project_class.svg/23px-Symbol_project_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/7/72/Symbol_project_class.svg/31px-Symbol_project_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Wikipedia:WikiProject_Google" title="Wikipedia:WikiProject Google">WikiProject</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q567759#identifiers&amp;#124;class=noprint&amp;#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q567759#identifiers&amp;#124;class=noprint&amp;#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q567759#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">International</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/305041139">VIAF</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/no2013077469">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&amp;local_base=NLX10&amp;find_code=UID&amp;request=987007371891305171">Israel</a></span></li></ul></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐api‐int.codfw.main‐5f67bcf949‐qtg48 Cached time: 20241127022743 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 1.169 seconds Real time usage: 1.353 seconds Preprocessor visited node count: 4382/1000000 Post‐expand include size: 257917/2097152 bytes Template argument size: 3548/2097152 bytes Highest expansion depth: 15/100 Expensive parser function count: 2/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 214565/5000000 bytes Lua time usage: 0.675/10.000 seconds Lua memory usage: 6338252/52428800 bytes Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 1004.924 1 -total 53.64% 538.997 1 Template:Reflist 26.80% 269.275 29 Template:Cite_web 19.42% 195.113 1 Template:Google_LLC 10.50% 105.557 11 Template:Cite_book 7.89% 79.278 1 Template:Short_description 7.26% 72.997 1 Template:Google_litigation 7.05% 70.845 1 Template:Navbox 6.33% 63.575 7 Template:Cite_journal 5.38% 54.074 1 Template:Commons_category --> <!-- Saved in parser cache with key enwiki:pcache:idhash:1702875-0!canonical and timestamp 20241127022743 and revision id 1257501989. Rendering was triggered because: api-parse --> </div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=MapReduce&amp;oldid=1257501989">https://en.wikipedia.org/w/index.php?title=MapReduce&amp;oldid=1257501989</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:Google_software" title="Category:Google software">Google software</a></li><li><a href="/wiki/Category:Parallel_computing" title="Category:Parallel computing">Parallel computing</a></li><li><a href="/wiki/Category:Distributed_computing_architecture" title="Category:Distributed computing architecture">Distributed computing architecture</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:Articles_with_short_description" title="Category:Articles with short description">Articles with short description</a></li><li><a href="/wiki/Category:Short_description_is_different_from_Wikidata" title="Category:Short description is different from Wikidata">Short description is different from Wikidata</a></li><li><a href="/wiki/Category:Commons_category_link_is_on_Wikidata" title="Category:Commons category link is on Wikidata">Commons category link is on Wikidata</a></li><li><a href="/wiki/Category:Articles_with_example_code" title="Category:Articles with example code">Articles with example code</a></li></ul></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 15 November 2024, at 06:41<span class="anonymous-show">&#160;(UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/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="/wiki/Wikipedia:About">About Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:General_disclaimer">Disclaimers</a></li> <li id="footer-places-contact"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us">Contact Wikipedia</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="//en.m.wikipedia.org/w/index.php?title=MapReduce&amp;mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobile view</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></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"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-5cd4cd96d5-gqd6v","wgBackendResponseTime":144,"wgPageParseReport":{"limitreport":{"cputime":"1.169","walltime":"1.353","ppvisitednodes":{"value":4382,"limit":1000000},"postexpandincludesize":{"value":257917,"limit":2097152},"templateargumentsize":{"value":3548,"limit":2097152},"expansiondepth":{"value":15,"limit":100},"expensivefunctioncount":{"value":2,"limit":500},"unstrip-depth":{"value":1,"limit":20},"unstrip-size":{"value":214565,"limit":5000000},"entityaccesscount":{"value":1,"limit":400},"timingprofile":["100.00% 1004.924 1 -total"," 53.64% 538.997 1 Template:Reflist"," 26.80% 269.275 29 Template:Cite_web"," 19.42% 195.113 1 Template:Google_LLC"," 10.50% 105.557 11 Template:Cite_book"," 7.89% 79.278 1 Template:Short_description"," 7.26% 72.997 1 Template:Google_litigation"," 7.05% 70.845 1 Template:Navbox"," 6.33% 63.575 7 Template:Cite_journal"," 5.38% 54.074 1 Template:Commons_category"]},"scribunto":{"limitreport-timeusage":{"value":"0.675","limit":"10.000"},"limitreport-memusage":{"value":6338252,"limit":52428800}},"cachereport":{"origin":"mw-api-int.codfw.main-5f67bcf949-qtg48","timestamp":"20241127022743","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"MapReduce","url":"https:\/\/en.wikipedia.org\/wiki\/MapReduce","sameAs":"http:\/\/www.wikidata.org\/entity\/Q567759","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q567759","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":"2005-04-07T00:53:29Z","dateModified":"2024-11-15T06:41:33Z","headline":"programming model for efficient queries over huge datasets, introdusec by Google"}</script> </body> </html>

Pages: 1 2 3 4 5 6 7 8 9 10