CINXE.COM

<!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="ca" dir="ltr"> <head> <meta charset="UTF-8"> <title>Zero - Viquipèdia, l'enciclopèdia lliure</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(/(?:^|; )cawikimwclientpreferences=([^;]+)/);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":[",\t.",".\t,"],"wgDigitTransformTable":["",""], "wgDefaultDateFormat":"dmy","wgMonthNames":["","gener","febrer","març","abril","maig","juny","juliol","agost","setembre","octubre","novembre","desembre"],"wgRequestId":"38fcb234-254c-4ecc-835e-dda0bb9e4a6a","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Zero","wgTitle":"Zero","wgCurRevisionId":34047503,"wgRevisionId":34047503,"wgArticleId":3203,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Articles amb la plantilla Webarchive amb enllaç wayback","Pàgines amb etiquetes de Wikidata sense traducció","Pàgines amb enllaç commonscat des de Wikidata","Control d'autoritats","Nombres triangulars","Quadrats perfectes","No-res","Nombres cúbics","Nombres icosaèdrics","Nombres octaèdrics","Nombres d'Erdős-Woods","Nombres tetraèdrics"],"wgPageViewLanguage":"ca","wgPageContentLanguage":"ca","wgPageContentModel":"wikitext","wgRelevantPageName":"Zero","wgRelevantArticleId": 3203,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"ca","pageLanguageDir":"ltr","pageVariantFallbacks":"ca"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":20000,"wgRelatedArticlesCompat":[],"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q204","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.math.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","wikibase.client.data-bridge.externalModifiers":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","site","mediawiki.page.ready","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.UkensKonkurranse","ext.gadget.refToolbar","ext.gadget.charinsert","ext.gadget.AltresViccionari","ext.gadget.purgetab","ext.gadget.DocTabs","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","wikibase.client.data-bridge.init","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","oojs-ui.styles.icons-media","oojs-ui-core.icons","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=ca&modules=ext.cite.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.data-bridge.externalModifiers%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=ca&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=ca&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.5"> <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 property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/d/db/Chess_x0t45.svg/1200px-Chess_x0t45.svg.png"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="1200"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/d/db/Chess_x0t45.svg/800px-Chess_x0t45.svg.png"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="800"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/d/db/Chess_x0t45.svg/640px-Chess_x0t45.svg.png"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="640"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Zero - Viquipèdia, l'enciclopèdia lliure"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//ca.m.wikipedia.org/wiki/Zero"> <link rel="alternate" type="application/x-wiki" title="Modifica" href="/w/index.php?title=Zero&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="Viquipèdia (ca)"> <link rel="EditURI" type="application/rsd+xml" href="//ca.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://ca.wikipedia.org/wiki/Zero"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.ca"> <link rel="alternate" type="application/atom+xml" title="Canal de sindicació Atom Viquipèdia" href="/w/index.php?title=Especial:Canvis_recents&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-Zero rootpage-Zero skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Vés al contingut</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="Lloc"> <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="Menú principal" > <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">Menú principal</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">Menú principal</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">amaga</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navegació </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Portada" title="Visiteu la pàgina principal [z]" accesskey="z"><span>Portada</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Especial:Article_aleatori" title="Carrega una pàgina a l’atzar [x]" accesskey="x"><span>Article a l'atzar</span></a></li><li id="n-Articles-de-qualitat" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Articles_de_qualitat"><span>Articles de qualitat</span></a></li> </ul> </div> </div> <div id="p-Comunitat" class="vector-menu mw-portlet mw-portlet-Comunitat" > <div class="vector-menu-heading"> Comunitat </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-portal" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Portal" title="Sobre el projecte, què podeu fer, on trobareu les coses"><span>Portal viquipedista</span></a></li><li id="n-Agenda-d'actes" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Trobades"><span>Agenda d'actes</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Especial:Canvis_recents" title="Una llista dels canvis recents al wiki [r]" accesskey="r"><span>Canvis recents</span></a></li><li id="n-La-taverna" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:La_taverna"><span>La taverna</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Contacte"><span>Contacte</span></a></li><li id="n-Xat" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Canals_IRC"><span>Xat</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Viquip%C3%A8dia:Ajuda" title="El lloc per a saber més coses"><span>Ajuda</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Portada" 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="Viquipèdia" src="/static/images/mobile/copyright/wikipedia-wordmark-ca.svg" style="width: 7.5em; height: 1.4375em;"> <img class="mw-logo-tagline" alt="l'Enciclopèdia Lliure" src="/static/images/mobile/copyright/wikipedia-tagline-ca.svg" width="120" height="14" style="width: 7.5em; height: 0.875em;"> </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/Especial:Cerca" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Cerca a la Viquipèdia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Cerca</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="Cerca a Viquipèdia" aria-label="Cerca a Viquipèdia" autocapitalize="sentences" title="Cerca a la Viquipèdia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Especial:Cerca"> </div> <button class="cdx-button cdx-search-input__end-button">Cerca</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Eines personals"> <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="Aparença"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page'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="Aparença" > <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">Aparença</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="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ca.wikipedia.org&uselang=ca" class=""><span>Donatius</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=Especial:Crea_compte&returnto=Zero" title="Us animem a crear un compte i iniciar una sessió, encara que no és obligatori" class=""><span>Crea un compte</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=Especial:Registre_i_entrada&returnto=Zero" title="Us animem a registrar-vos, però no és obligatori [o]" accesskey="o" class=""><span>Inicia la sessió</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="Més opcions" > <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="Eines personals" > <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">Eines personals</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Menú d'usuari" > <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="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ca.wikipedia.org&uselang=ca"><span>Donatius</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Crea_compte&returnto=Zero" title="Us animem a crear un compte i iniciar una sessió, encara que no és obligatori"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Crea un compte</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Registre_i_entrada&returnto=Zero" title="Us animem a registrar-vos, però no és obligatori [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Inicia la sessió</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"> Pàgines per a editors no registrats <a href="/wiki/Ajuda:Introducci%C3%B3" aria-label="Vegeu més informació sobre l'edició"><span>més informació</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/Especial:Contribucions_pr%C3%B2pies" title="Una llista de les modificacions fetes des d'aquesta adreça IP [y]" accesskey="y"><span>Contribucions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Especial:Discussi%C3%B3_personal" title="Discussió sobre les edicions per aquesta adreça ip. [n]" accesskey="n"><span>Discussió per aquest IP</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"></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="Lloc"> <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="Contingut" 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">Contingut</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">amaga</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">Inici</div> </a> </li> <li id="toc-Propietats_del_zero[2]" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Propietats_del_zero[2]"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Propietats del zero<sup><span>[</span>2<span>]</span></sup></span> </div> </a> <ul id="toc-Propietats_del_zero[2]-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Representacions_del_valor_zero[4]" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Representacions_del_valor_zero[4]"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Representacions del valor zero<sup><span>[</span>4<span>]</span></sup></span> </div> </a> <ul id="toc-Representacions_del_valor_zero[4]-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Etimologia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Etimologia"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Etimologia</span> </div> </a> <ul id="toc-Etimologia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Història_del_zero[8]" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Història_del_zero[8]"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Història del zero<sup><span>[</span>8<span>]</span></sup></span> </div> </a> <ul id="toc-Història_del_zero[8]-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-El_zero_a_Occident" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#El_zero_a_Occident"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>El zero a Occident</span> </div> </a> <ul id="toc-El_zero_a_Occident-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Física" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Física"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Física</span> </div> </a> <ul id="toc-Física-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Química" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Química"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Química</span> </div> </a> <ul id="toc-Química-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Informàtica" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Informàtica"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Informàtica</span> </div> </a> <ul id="toc-Informàtica-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Numeració_dels_anys" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Numeració_dels_anys"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Numeració dels anys</span> </div> </a> <ul id="toc-Numeració_dels_anys-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referències" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referències"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Referències</span> </div> </a> <ul id="toc-Referències-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Enllaços_externs" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Enllaços_externs"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>Enllaços externs</span> </div> </a> <ul id="toc-Enllaços_externs-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="Contingut" 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="Commuta la taula de continguts." > <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">Commuta la taula de continguts.</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">Zero</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="Vés a un article en una altra llengua. Disponible en 156 llengües" > <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-156" 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">156 llengües</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ab mw-list-item"><a href="https://ab.wikipedia.org/wiki/%D0%90%D0%BD%D0%BE%D0%BB%D1%8C" title="Аноль - abkhaz" lang="ab" hreflang="ab" data-title="Аноль" data-language-autonym="Аԥсшәа" data-language-local-name="abkhaz" class="interlanguage-link-target"><span>Аԥсшәа</span></a></li><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/0_(getal)" title="0 (getal) - afrikaans" lang="af" hreflang="af" data-title="0 (getal)" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Null" title="Null - alemany suís" lang="gsw" hreflang="gsw" data-title="Null" data-language-autonym="Alemannisch" data-language-local-name="alemany suís" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/0" title="0 - amhàric" lang="am" hreflang="am" data-title="0" data-language-autonym="አማርኛ" data-language-local-name="amhàric" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/0_(%D8%B9%D8%AF%D8%AF)" title="0 (عدد) - àrab" lang="ar" hreflang="ar" data-title="0 (عدد)" data-language-autonym="العربية" data-language-local-name="àrab" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arc mw-list-item"><a href="https://arc.wikipedia.org/wiki/0_(%DC%A1%DC%A2%DC%9D%DC%A2%DC%90)" title="0 (ܡܢܝܢܐ) - arameu" lang="arc" hreflang="arc" data-title="0 (ܡܢܝܢܐ)" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="arameu" class="interlanguage-link-target"><span>ܐܪܡܝܐ</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/0" title="0 - Moroccan Arabic" lang="ary" hreflang="ary" data-title="0" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%B6%E0%A7%82%E0%A6%A8%E0%A7%8D%E0%A6%AF" title="শূন্য - assamès" lang="as" hreflang="as" data-title="শূন্য" data-language-autonym="অসমীয়া" data-language-local-name="assamès" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Cero" title="Cero - asturià" lang="ast" hreflang="ast" data-title="Cero" data-language-autonym="Asturianu" data-language-local-name="asturià" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/0" title="0 - azerbaidjanès" lang="az" hreflang="az" data-title="0" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidjanès" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DB%B0_(%D8%B3%D8%A7%DB%8C%DB%8C)" title="۰ (سایی) - South Azerbaijani" lang="azb" hreflang="azb" data-title="۰ (سایی)" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/0_(%D2%BB%D0%B0%D0%BD)" title="0 (һан) - baixkir" lang="ba" hreflang="ba" data-title="0 (һан)" data-language-autonym="Башҡортса" data-language-local-name="baixkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-ban mw-list-item"><a href="https://ban.wikipedia.org/wiki/0_(angka)" title="0 (angka) - balinès" lang="ban" hreflang="ban" data-title="0 (angka)" data-language-autonym="Basa Bali" data-language-local-name="balinès" class="interlanguage-link-target"><span>Basa Bali</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/0_(%D0%BB%D1%96%D0%BA)" title="0 (лік) - belarús" lang="be" hreflang="be" data-title="0 (лік)" data-language-autonym="Беларуская" data-language-local-name="belarús" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9D%D1%83%D0%BB%D1%8C" title="Нуль - Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Нуль" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9D%D1%83%D0%BB%D0%B0" title="Нула - búlgar" lang="bg" hreflang="bg" data-title="Нула" data-language-autonym="Български" data-language-local-name="búlgar" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A7%A6_(%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE)" title="০ (সংখ্যা) - bengalí" lang="bn" hreflang="bn" data-title="০ (সংখ্যা)" data-language-autonym="বাংলা" data-language-local-name="bengalí" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BC%A0_(%E0%BD%82%E0%BE%B2%E0%BD%84%E0%BD%A6%E0%BC%8B%E0%BD%80%E0%BC%8D)" title="༠ (གྲངས་ཀ།) - tibetà" lang="bo" hreflang="bo" data-title="༠ (གྲངས་ཀ།)" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetà" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/0_(broj)" title="0 (broj) - bosnià" lang="bs" hreflang="bs" data-title="0 (broj)" data-language-autonym="Bosanski" data-language-local-name="bosnià" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/0" title="0 - Mindong" lang="cdo" hreflang="cdo" data-title="0" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%A0_(%DA%98%D9%85%D8%A7%D8%B1%DB%95)" title="٠ (ژمارە) - kurd central" lang="ckb" hreflang="ckb" data-title="٠ (ژمارە)" data-language-autonym="کوردی" data-language-local-name="kurd central" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Nula" title="Nula - txec" lang="cs" hreflang="cs" data-title="Nula" data-language-autonym="Čeština" data-language-local-name="txec" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/0" title="0 - gal·lès" lang="cy" hreflang="cy" data-title="0" data-language-autonym="Cymraeg" data-language-local-name="gal·lès" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/0_(tal)" title="0 (tal) - danès" lang="da" hreflang="da" data-title="0 (tal)" data-language-autonym="Dansk" data-language-local-name="danès" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Null" title="Null - alemany" lang="de" hreflang="de" data-title="Null" data-language-autonym="Deutsch" data-language-local-name="alemany" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/0_(%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82)" title="0 (αριθμός) - grec" lang="el" hreflang="el" data-title="0 (αριθμός)" data-language-autonym="Ελληνικά" data-language-local-name="grec" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/0" title="0 - anglès" lang="en" hreflang="en" data-title="0" data-language-autonym="English" data-language-local-name="anglès" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Nulo" title="Nulo - esperanto" lang="eo" hreflang="eo" data-title="Nulo" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Cero" title="Cero - espanyol" lang="es" hreflang="es" data-title="Cero" data-language-autonym="Español" data-language-local-name="espanyol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Null" title="Null - estonià" lang="et" hreflang="et" data-title="Null" data-language-autonym="Eesti" data-language-local-name="estonià" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zero" title="Zero - basc" lang="eu" hreflang="eu" data-title="Zero" data-language-autonym="Euskara" data-language-local-name="basc" 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/%D8%B5%D9%81%D8%B1" title="صفر - persa" lang="fa" hreflang="fa" data-title="صفر" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/0_(luku)" title="0 (luku) - finès" lang="fi" hreflang="fi" data-title="0 (luku)" data-language-autonym="Suomi" data-language-local-name="finès" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Saiva" title="Saiva - fijià" lang="fj" hreflang="fj" data-title="Saiva" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fijià" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/0_(tal)" title="0 (tal) - feroès" lang="fo" hreflang="fo" data-title="0 (tal)" data-language-autonym="Føroyskt" data-language-local-name="feroès" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Z%C3%A9ro" title="Zéro - francès" lang="fr" hreflang="fr" data-title="Zéro" data-language-autonym="Français" data-language-local-name="francès" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Nol" title="Nol - frisó septentrional" lang="frr" hreflang="frr" data-title="Nol" data-language-autonym="Nordfriisk" data-language-local-name="frisó septentrional" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://fur.wikipedia.org/wiki/0_(numar)" title="0 (numar) - friülà" lang="fur" hreflang="fur" data-title="0 (numar)" data-language-autonym="Furlan" data-language-local-name="friülà" class="interlanguage-link-target"><span>Furlan</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Cero" title="Cero - gallec" lang="gl" hreflang="gl" data-title="Cero" data-language-autonym="Galego" data-language-local-name="gallec" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Mba%27eve_(papaha)" title="Mba'eve (papaha) - guaraní" lang="gn" hreflang="gn" data-title="Mba'eve (papaha)" data-language-autonym="Avañe'ẽ" data-language-local-name="guaraní" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AB%A6_(%E0%AA%B6%E0%AB%82%E0%AA%A8%E0%AB%8D%E0%AA%AF)" title="૦ (શૂન્ય) - gujarati" lang="gu" hreflang="gu" data-title="૦ (શૂન્ય)" data-language-autonym="ગુજરાતી" data-language-local-name="gujarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/0_(earroo)" title="0 (earroo) - manx" lang="gv" hreflang="gv" data-title="0 (earroo)" data-language-autonym="Gaelg" data-language-local-name="manx" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/0_(al%C6%99alami)" title="0 (alƙalami) - haussa" lang="ha" hreflang="ha" data-title="0 (alƙalami)" data-language-autonym="Hausa" data-language-local-name="haussa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/0" title="0 - xinès hakka" lang="hak" hreflang="hak" data-title="0" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="xinès hakka" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/0_(%D7%9E%D7%A1%D7%A4%D7%A8)" title="0 (מספר) - hebreu" lang="he" hreflang="he" data-title="0 (מספר)" data-language-autonym="עברית" data-language-local-name="hebreu" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF" title="शून्य - hindi" lang="hi" hreflang="hi" data-title="शून्य" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Nula" title="Nula - croat" lang="hr" hreflang="hr" data-title="Nula" data-language-autonym="Hrvatski" data-language-local-name="croat" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/0_(nonm)" title="0 (nonm) - crioll d’Haití" lang="ht" hreflang="ht" data-title="0 (nonm)" data-language-autonym="Kreyòl ayisyen" data-language-local-name="crioll d’Haití" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/0_(sz%C3%A1m)" title="0 (szám) - hongarès" lang="hu" hreflang="hu" data-title="0 (szám)" data-language-autonym="Magyar" data-language-local-name="hongarès" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/0_(%D5%A9%D5%AB%D5%BE)" title="0 (թիվ) - armeni" lang="hy" hreflang="hy" data-title="0 (թիվ)" data-language-autonym="Հայերեն" data-language-local-name="armeni" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/0_(numero)" title="0 (numero) - interlingua" lang="ia" hreflang="ia" data-title="0 (numero)" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/0_(angka)" title="0 (angka) - indonesi" lang="id" hreflang="id" data-title="0 (angka)" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesi" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ig mw-list-item"><a href="https://ig.wikipedia.org/wiki/0_(%C3%93n%C3%BA%E1%BB%8Dg%E1%BB%A5g%E1%BB%A5)" title="0 (Ónúọgụgụ) - igbo" lang="ig" hreflang="ig" data-title="0 (Ónúọgụgụ)" data-language-autonym="Igbo" data-language-local-name="igbo" class="interlanguage-link-target"><span>Igbo</span></a></li><li class="interlanguage-link interwiki-ik mw-list-item"><a href="https://ik.wikipedia.org/wiki/Kisitchisa%C4%A1vik" title="Kisitchisaġvik - inupiak" lang="ik" hreflang="ik" data-title="Kisitchisaġvik" data-language-autonym="Iñupiatun" data-language-local-name="inupiak" class="interlanguage-link-target"><span>Iñupiatun</span></a></li><li class="interlanguage-link interwiki-inh mw-list-item"><a href="https://inh.wikipedia.org/wiki/%D0%9A%D3%80%D0%BE%D0%BB%D1%85" title="КӀолх - ingúix" lang="inh" hreflang="inh" data-title="КӀолх" data-language-autonym="ГӀалгӀай" data-language-local-name="ingúix" class="interlanguage-link-target"><span>ГӀалгӀай</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Zero" title="Zero - ido" lang="io" hreflang="io" data-title="Zero" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/N%C3%BAll" title="Núll - islandès" lang="is" hreflang="is" data-title="Núll" data-language-autonym="Íslenska" data-language-local-name="islandès" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/0_(numero)" title="0 (numero) - italià" lang="it" hreflang="it" data-title="0 (numero)" data-language-autonym="Italiano" data-language-local-name="italià" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/0" title="0 - japonès" lang="ja" hreflang="ja" data-title="0" data-language-autonym="日本語" data-language-local-name="japonès" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/0_(%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98)" title="0 (რიცხვი) - georgià" lang="ka" hreflang="ka" data-title="0 (რიცხვი)" data-language-autonym="ქართული" data-language-local-name="georgià" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kcg mw-list-item"><a href="https://kcg.wikipedia.org/wiki/0" title="0 - tyap" lang="kcg" hreflang="kcg" data-title="0" data-language-autonym="Tyap" data-language-local-name="tyap" class="interlanguage-link-target"><span>Tyap</span></a></li><li class="interlanguage-link interwiki-kge mw-list-item"><a href="https://kge.wikipedia.org/wiki/0" title="0 - Komering" lang="kge" hreflang="kge" data-title="0" data-language-autonym="Kumoring" data-language-local-name="Komering" class="interlanguage-link-target"><span>Kumoring</span></a></li><li class="interlanguage-link interwiki-ki mw-list-item"><a href="https://ki.wikipedia.org/wiki/K%C4%A9b%C5%A9g%C5%A9_(mathabu)" title="Kĩbũgũ (mathabu) - kikuiu" lang="ki" hreflang="ki" data-title="Kĩbũgũ (mathabu)" data-language-autonym="Gĩkũyũ" data-language-local-name="kikuiu" class="interlanguage-link-target"><span>Gĩkũyũ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/0_(%D1%81%D0%B0%D0%BD)" title="0 (сан) - kazakh" lang="kk" hreflang="kk" data-title="0 (сан)" data-language-autonym="Қазақша" data-language-local-name="kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9F%A0" title="០ - khmer" lang="km" hreflang="km" data-title="០" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="khmer" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B8%E0%B3%8A%E0%B2%A8%E0%B3%8D%E0%B2%A8%E0%B3%86" title="ಸೊನ್ನೆ - kannada" lang="kn" hreflang="kn" data-title="ಸೊನ್ನೆ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/0" title="0 - coreà" lang="ko" hreflang="ko" data-title="0" data-language-autonym="한국어" data-language-local-name="coreà" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/0_(%DA%AF%D8%B1%D9%8E%D9%9B%D9%86%D9%9B%D8%AF)" title="0 (گرَٛنٛد) - caixmiri" lang="ks" hreflang="ks" data-title="0 (گرَٛنٛد)" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="caixmiri" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Sifir_(hejmar)" title="Sifir (hejmar) - kurd" lang="ku" hreflang="ku" data-title="Sifir (hejmar)" data-language-autonym="Kurdî" data-language-local-name="kurd" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9D%D3%A9%D0%BB" title="Нөл - kirguís" lang="ky" hreflang="ky" data-title="Нөл" data-language-autonym="Кыргызча" data-language-local-name="kirguís" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/0" title="0 - llatí" lang="la" hreflang="la" data-title="0" data-language-autonym="Latina" data-language-local-name="llatí" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lbe mw-list-item"><a href="https://lbe.wikipedia.org/wiki/%D0%9D%D0%BE%D0%BB%D1%8C" title="Ноль - Lak" lang="lbe" hreflang="lbe" data-title="Ноль" data-language-autonym="Лакку" data-language-local-name="Lak" class="interlanguage-link-target"><span>Лакку</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Zeero" title="Zeero - ganda" lang="lg" hreflang="lg" data-title="Zeero" data-language-autonym="Luganda" data-language-local-name="ganda" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/N%C3%B3l" title="Nól - limburguès" lang="li" hreflang="li" data-title="Nól" data-language-autonym="Limburgs" data-language-local-name="limburguès" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/N%C3%BCmar_0" title="Nümar 0 - llombard" lang="lmo" hreflang="lmo" data-title="Nümar 0" data-language-autonym="Lombard" data-language-local-name="llombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-ln mw-list-item"><a href="https://ln.wikipedia.org/wiki/Lib%C3%BAng%C3%BAtul%C3%BA" title="Libúngútulú - lingala" lang="ln" hreflang="ln" data-title="Libúngútulú" data-language-autonym="Lingála" data-language-local-name="lingala" class="interlanguage-link-target"><span>Lingála</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/0_(skai%C4%8Dius)" title="0 (skaičius) - lituà" lang="lt" hreflang="lt" data-title="0 (skaičius)" data-language-autonym="Lietuvių" data-language-local-name="lituà" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Nulle" title="Nulle - letó" lang="lv" hreflang="lv" data-title="Nulle" data-language-autonym="Latviešu" data-language-local-name="letó" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF" title="शून्य - maithili" lang="mai" hreflang="mai" data-title="शून्य" data-language-autonym="मैथिली" data-language-local-name="maithili" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/0_(%D0%B1%D1%80%D0%BE%D1%98)" title="0 (број) - macedoni" lang="mk" hreflang="mk" data-title="0 (број)" data-language-autonym="Македонски" data-language-local-name="macedoni" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AA%E0%B5%82%E0%B4%9C%E0%B5%8D%E0%B4%AF%E0%B4%82" title="പൂജ്യം - malaiàlam" lang="ml" hreflang="ml" data-title="പൂജ്യം" data-language-autonym="മലയാളം" data-language-local-name="malaiàlam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mni mw-list-item"><a href="https://mni.wikipedia.org/wiki/%EA%AF%B0" title="꯰ - manipurí" lang="mni" hreflang="mni" data-title="꯰" data-language-autonym="ꯃꯤꯇꯩ ꯂꯣꯟ" data-language-local-name="manipurí" class="interlanguage-link-target"><span>ꯃꯤꯇꯩ ꯂꯣꯟ</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A5%A6_(%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE)" title="० (संख्या) - marathi" lang="mr" hreflang="mr" data-title="० (संख्या)" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/0_(nombor)" title="0 (nombor) - malai" lang="ms" hreflang="ms" data-title="0 (nombor)" data-language-autonym="Bahasa Melayu" data-language-local-name="malai" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%81%80" title="၀ - birmà" lang="my" hreflang="my" data-title="၀" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmà" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%A7%D0%B0%D0%B2%D0%BE" title="Чаво - mordovià erza" lang="myv" hreflang="myv" data-title="Чаво" data-language-autonym="Эрзянь" data-language-local-name="mordovià erza" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%DB%B0" title="۰ - mazanderani" lang="mzn" hreflang="mzn" data-title="۰" data-language-autonym="مازِرونی" data-language-local-name="mazanderani" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-nap mw-list-item"><a href="https://nap.wikipedia.org/wiki/Zero" title="Zero - napolità" lang="nap" hreflang="nap" data-title="Zero" data-language-autonym="Napulitano" data-language-local-name="napolità" class="interlanguage-link-target"><span>Napulitano</span></a></li><li class="interlanguage-link interwiki-nds-nl mw-list-item"><a href="https://nds-nl.wikipedia.org/wiki/0_(getal)" title="0 (getal) - baix saxó" lang="nds-NL" hreflang="nds-NL" data-title="0 (getal)" data-language-autonym="Nedersaksies" data-language-local-name="baix saxó" class="interlanguage-link-target"><span>Nedersaksies</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF" title="शून्य - newari" lang="new" hreflang="new" data-title="शून्य" data-language-autonym="नेपाल भाषा" data-language-local-name="newari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/0_(getal)" title="0 (getal) - neerlandès" lang="nl" hreflang="nl" data-title="0 (getal)" data-language-autonym="Nederlands" data-language-local-name="neerlandès" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/0" title="0 - noruec nynorsk" lang="nn" hreflang="nn" data-title="0" data-language-autonym="Norsk nynorsk" data-language-local-name="noruec nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/0_(tall)" title="0 (tall) - noruec bokmål" lang="nb" hreflang="nb" data-title="0 (tall)" data-language-autonym="Norsk bokmål" data-language-local-name="noruec bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nov mw-list-item"><a href="https://nov.wikipedia.org/wiki/Sero" title="Sero - novial" lang="nov" hreflang="nov" data-title="Sero" data-language-autonym="Novial" data-language-local-name="novial" class="interlanguage-link-target"><span>Novial</span></a></li><li class="interlanguage-link interwiki-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/0_(nomoro)" title="0 (nomoro) - sotho septentrional" lang="nso" hreflang="nso" data-title="0 (nomoro)" data-language-autonym="Sesotho sa Leboa" data-language-local-name="sotho septentrional" class="interlanguage-link-target"><span>Sesotho sa Leboa</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/0_(nombre)" title="0 (nombre) - occità" lang="oc" hreflang="oc" data-title="0 (nombre)" data-language-autonym="Occitan" data-language-local-name="occità" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/0" title="0 - oromo" lang="om" hreflang="om" data-title="0" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AD%A6_(%E0%AC%B8%E0%AC%82%E0%AC%96%E0%AD%8D%E0%AD%9F%E0%AC%BE)" title="୦ (ସଂଖ୍ୟା) - oriya" lang="or" hreflang="or" data-title="୦ (ସଂଖ୍ୟା)" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="oriya" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B8%E0%A8%BF%E0%A8%AB%E0%A8%BC%E0%A8%B0" title="ਸਿਫ਼ਰ - panjabi" lang="pa" hreflang="pa" data-title="ਸਿਫ਼ਰ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="panjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/0" title="0 - polonès" lang="pl" hreflang="pl" data-title="0" data-language-autonym="Polski" data-language-local-name="polonès" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%B5%D9%81%D8%B1" title="صفر - Western Punjabi" lang="pnb" hreflang="pnb" data-title="صفر" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%DB%B0" title="۰ - paixtu" lang="ps" hreflang="ps" data-title="۰" data-language-autonym="پښتو" data-language-local-name="paixtu" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/0_(n%C3%BAmero)" title="0 (número) - portuguès" lang="pt" hreflang="pt" data-title="0 (número)" data-language-autonym="Português" data-language-local-name="portuguès" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Ch%27usaq_yupay" title="Ch'usaq yupay - quítxua" lang="qu" hreflang="qu" data-title="Ch'usaq yupay" data-language-autonym="Runa Simi" data-language-local-name="quítxua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-rn mw-list-item"><a href="https://rn.wikipedia.org/wiki/Ubusa" title="Ubusa - rundi" lang="rn" hreflang="rn" data-title="Ubusa" data-language-autonym="Ikirundi" data-language-local-name="rundi" class="interlanguage-link-target"><span>Ikirundi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/0_(cifr%C4%83)" title="0 (cifră) - romanès" lang="ro" hreflang="ro" data-title="0 (cifră)" data-language-autonym="Română" data-language-local-name="romanès" 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/%D0%9D%D0%BE%D0%BB%D1%8C" title="Ноль - rus" lang="ru" hreflang="ru" data-title="Ноль" data-language-autonym="Русский" data-language-local-name="rus" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/0_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="0 (число) - Rusyn" lang="rue" hreflang="rue" data-title="0 (число)" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-rw mw-list-item"><a href="https://rw.wikipedia.org/wiki/Ubusa" title="Ubusa - ruandès" lang="rw" hreflang="rw" data-title="Ubusa" data-language-autonym="Ikinyarwanda" data-language-local-name="ruandès" class="interlanguage-link-target"><span>Ikinyarwanda</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF%E0%A4%AE%E0%A5%8D_(%E0%A4%B8%E0%A4%99%E0%A5%8D%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE)" title="शून्यम् (सङ्ख्या) - sànscrit" lang="sa" hreflang="sa" data-title="शून्यम् (सङ्ख्या)" data-language-autonym="संस्कृतम्" data-language-local-name="sànscrit" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9D%D1%83%D1%83%D0%BB" title="Нуул - iacut" lang="sah" hreflang="sah" data-title="Нуул" data-language-autonym="Саха тыла" data-language-local-name="iacut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%90" title="᱐ - santali" lang="sat" hreflang="sat" data-title="᱐" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="santali" class="interlanguage-link-target"><span>ᱥᱟᱱᱛᱟᱲᱤ</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Zeru" title="Zeru - sicilià" lang="scn" hreflang="scn" data-title="Zeru" data-language-autonym="Sicilianu" data-language-local-name="sicilià" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/0" title="0 - escocès" lang="sco" hreflang="sco" data-title="0" data-language-autonym="Scots" data-language-local-name="escocès" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/0_(broj)" title="0 (broj) - serbocroat" lang="sh" hreflang="sh" data-title="0 (broj)" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbocroat" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/0_(am%E1%B8%8Dan)" title="0 (amḍan) - taixelhit" lang="shi" hreflang="shi" data-title="0 (amḍan)" data-language-autonym="Taclḥit" data-language-local-name="taixelhit" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/0" title="0 - Simple English" lang="en-simple" hreflang="en-simple" data-title="0" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/0_(%C4%8D%C3%ADslo)" title="0 (číslo) - eslovac" lang="sk" hreflang="sk" data-title="0 (číslo)" data-language-autonym="Slovenčina" data-language-local-name="eslovac" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/0" title="0 - eslovè" lang="sl" hreflang="sl" data-title="0" data-language-autonym="Slovenščina" data-language-local-name="eslovè" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Chipasina" title="Chipasina - shona" lang="sn" hreflang="sn" data-title="Chipasina" data-language-autonym="ChiShona" data-language-local-name="shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/0_(tiro)" title="0 (tiro) - somali" lang="so" hreflang="so" data-title="0 (tiro)" data-language-autonym="Soomaaliga" data-language-local-name="somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/0_(num%C3%ABr)" title="0 (numër) - albanès" lang="sq" hreflang="sq" data-title="0 (numër)" data-language-autonym="Shqip" data-language-local-name="albanès" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/0_(%D0%B1%D1%80%D0%BE%D1%98)" title="0 (број) - serbi" lang="sr" hreflang="sr" data-title="0 (број)" data-language-autonym="Српски / srpski" data-language-local-name="serbi" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-srn mw-list-item"><a href="https://srn.wikipedia.org/wiki/Numro_0" title="Numro 0 - sranan" lang="srn" hreflang="srn" data-title="Numro 0" data-language-autonym="Sranantongo" data-language-local-name="sranan" class="interlanguage-link-target"><span>Sranantongo</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/0_(tal)" title="0 (tal) - suec" lang="sv" hreflang="sv" data-title="0 (tal)" data-language-autonym="Svenska" data-language-local-name="suec" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Sifuri" title="Sifuri - suahili" lang="sw" hreflang="sw" data-title="Sifuri" data-language-autonym="Kiswahili" data-language-local-name="suahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/0" title="0 - silesià" lang="szl" hreflang="szl" data-title="0" data-language-autonym="Ślůnski" data-language-local-name="silesià" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/0_(%E0%AE%8E%E0%AE%A3%E0%AF%8D)" title="0 (எண்) - tàmil" lang="ta" hreflang="ta" data-title="0 (எண்)" data-language-autonym="தமிழ்" data-language-local-name="tàmil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B8%E0%B1%81%E0%B0%A8%E0%B1%8D%E0%B0%A8" title="సున్న - telugu" lang="te" hreflang="te" data-title="సున్న" data-language-autonym="తెలుగు" data-language-local-name="telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A1%D0%B8%D1%84%D1%80" title="Сифр - tadjik" lang="tg" hreflang="tg" data-title="Сифр" data-language-autonym="Тоҷикӣ" data-language-local-name="tadjik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/0" title="0 - tai" lang="th" hreflang="th" data-title="0" data-language-autonym="ไทย" data-language-local-name="tai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/0_(bilang)" title="0 (bilang) - tagal" lang="tl" hreflang="tl" data-title="0 (bilang)" data-language-autonym="Tagalog" data-language-local-name="tagal" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/0" title="0 - turc" lang="tr" hreflang="tr" data-title="0" data-language-autonym="Türkçe" data-language-local-name="turc" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ts mw-list-item"><a href="https://ts.wikipedia.org/wiki/Tandza" title="Tandza - tsonga" lang="ts" hreflang="ts" data-title="Tandza" data-language-autonym="Xitsonga" data-language-local-name="tsonga" class="interlanguage-link-target"><span>Xitsonga</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/0_(%D1%81%D0%B0%D0%BD)" title="0 (сан) - tàtar" lang="tt" hreflang="tt" data-title="0 (сан)" data-language-autonym="Татарча / tatarça" data-language-local-name="tàtar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/0_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="0 (число) - ucraïnès" lang="uk" hreflang="uk" data-title="0 (число)" data-language-autonym="Українська" data-language-local-name="ucraïnès" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B5%D9%81%D8%B1_(%D8%B9%D8%AF%D8%AF)" title="صفر (عدد) - urdú" lang="ur" hreflang="ur" data-title="صفر (عدد)" data-language-autonym="اردو" data-language-local-name="urdú" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/0_(son)" title="0 (son) - uzbek" lang="uz" hreflang="uz" data-title="0 (son)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/0_(lugu)" title="0 (lugu) - vepse" lang="vep" hreflang="vep" data-title="0 (lugu)" data-language-autonym="Vepsän kel’" data-language-local-name="vepse" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/0_(s%E1%BB%91)" title="0 (số) - vietnamita" lang="vi" hreflang="vi" data-title="0 (số)" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/0_(getal)" title="0 (getal) - flamenc occidental" lang="vls" hreflang="vls" data-title="0 (getal)" data-language-autonym="West-Vlams" data-language-local-name="flamenc occidental" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://wa.wikipedia.org/wiki/0" title="0 - való" lang="wa" hreflang="wa" data-title="0" data-language-autonym="Walon" data-language-local-name="való" class="interlanguage-link-target"><span>Walon</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/0_(ihap)" title="0 (ihap) - waray" lang="war" hreflang="war" data-title="0 (ihap)" data-language-autonym="Winaray" data-language-local-name="waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wo mw-list-item"><a href="https://wo.wikipedia.org/wiki/Tus" title="Tus - wòlof" lang="wo" hreflang="wo" data-title="Tus" data-language-autonym="Wolof" data-language-local-name="wòlof" class="interlanguage-link-target"><span>Wolof</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/0" title="0 - xinès wu" lang="wuu" hreflang="wuu" data-title="0" data-language-autonym="吴语" data-language-local-name="xinès wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/0" title="0 - calmuc" lang="xal" hreflang="xal" data-title="0" data-language-autonym="Хальмг" data-language-local-name="calmuc" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/Iqanda" title="Iqanda - xosa" lang="xh" hreflang="xh" data-title="Iqanda" data-language-autonym="IsiXhosa" data-language-local-name="xosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%9C%E1%83%A3%E1%83%9A%E1%83%98" title="ნული - mingrelià" lang="xmf" hreflang="xmf" data-title="ნული" data-language-autonym="მარგალური" data-language-local-name="mingrelià" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/0_(%D7%A0%D7%95%D7%9E%D7%A2%D7%A8)" title="0 (נומער) - ídix" lang="yi" hreflang="yi" data-title="0 (נומער)" data-language-autonym="ייִדיש" data-language-local-name="ídix" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/0_(n%E1%BB%8D%CC%81mb%C3%A0)" title="0 (nọ́mbà) - ioruba" lang="yo" hreflang="yo" data-title="0 (nọ́mbà)" data-language-autonym="Yorùbá" data-language-local-name="ioruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/0_(%E2%B4%B0%E2%B5%8E%E2%B4%B9%E2%B4%B0%E2%B5%8F)" title="0 (ⴰⵎⴹⴰⵏ) - amazic estàndard marroquí" lang="zgh" hreflang="zgh" data-title="0 (ⴰⵎⴹⴰⵏ)" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="amazic estàndard marroquí" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/0" title="0 - xinès" lang="zh" hreflang="zh" data-title="0" data-language-autonym="中文" data-language-local-name="xinès" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E3%80%87" title="〇 - xinès clàssic" lang="lzh" hreflang="lzh" data-title="〇" data-language-autonym="文言" data-language-local-name="xinès clàssic" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/0" title="0 - xinès min del sud" lang="nan" hreflang="nan" data-title="0" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="xinès min del sud" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/0" title="0 - cantonès" lang="yue" hreflang="yue" data-title="0" data-language-autonym="粵語" data-language-local-name="cantonès" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Iqanda(inombolo)" title="Iqanda(inombolo) - zulu" lang="zu" hreflang="zu" data-title="Iqanda(inombolo)" data-language-autonym="IsiZulu" data-language-local-name="zulu" class="interlanguage-link-target"><span>IsiZulu</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/Q204#sitelinks-wikipedia" title="Modifica enllaços interlingües" class="wbc-editpage">Modifica els enllaços</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="Espais de noms"> <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/Zero" title="Vegeu el contingut de la pàgina [c]" accesskey="c"><span>Pàgina</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Discussi%C3%B3:Zero" rel="discussion" title="Discussió sobre el contingut d'aquesta pàgina [t]" accesskey="t"><span>Discussió</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="Canvia la variant de llengua" > <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">català</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="Vistes"> <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/Zero"><span>Mostra</span></a></li><li id="ca-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Zero&action=edit" title="Modifica el codi font d'aquesta pàgina [e]" accesskey="e"><span>Modifica</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Zero&action=history" title="Versions antigues d'aquesta pàgina [h]" accesskey="h"><span>Mostra l'historial</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Eines de la pàgina"> <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="Eines" > <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">Eines</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">Eines</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">amaga</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Més opcions" > <div class="vector-menu-heading"> Accions </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/Zero"><span>Mostra</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Zero&action=edit" title="Modifica el codi font d'aquesta pàgina [e]" accesskey="e"><span>Modifica</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Zero&action=history"><span>Mostra l'historial</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/Especial:Enlla%C3%A7os/Zero" title="Una llista de totes les pàgines wiki que enllacen amb aquesta [j]" accesskey="j"><span>Què hi enllaça</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Especial:Seguiment/Zero" rel="nofollow" title="Canvis recents a pàgines enllaçades des d'aquesta pàgina [k]" accesskey="k"><span>Canvis relacionats</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Especial:P%C3%A0gines_especials" title="Llista totes les pàgines especials [q]" accesskey="q"><span>Pàgines especials</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Zero&oldid=34047503" title="Enllaç permanent a aquesta revisió de la pàgina"><span>Enllaç permanent</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Zero&action=info" title="Més informació sobre aquesta pàgina"><span>Informació de la pàgina</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Especial:Citau&page=Zero&id=34047503&wpFormIdentifier=titleform" title="Informació sobre com citar aquesta pàgina"><span>Citau aquest article</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Especial:UrlShortener&url=https%3A%2F%2Fca.wikipedia.org%2Fwiki%2FZero"><span>Obtén una URL abreujada</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Especial:QrCode&url=https%3A%2F%2Fca.wikipedia.org%2Fwiki%2FZero"><span>Descarrega el codi QR</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"> Imprimeix/exporta </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Especial:Llibre&bookcmd=book_creator&referer=Zero"><span>Crea un llibre</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Especial:DownloadAsPdf&page=Zero&action=show-download-screen"><span>Baixa com a PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Zero&printable=yes" title="Versió per a impressió d'aquesta pàgina [p]" accesskey="p"><span>Versió per a impressora</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"> En altres projectes </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:0_(number)" hreflang="en"><span>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/Q204" title="Enllaç a l'element del repositori de dades connectat [g]" accesskey="g"><span>Element a Wikidata</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="Eines de la pàgina"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Aparença"> <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">Aparença</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">amaga</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">De la Viquipèdia, l'enciclopèdia lliure</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="ca" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r34261971">.mw-parser-output .hatnote{width:100%;border-color:#77ccff;color:var(--color-base,#202122);background-color:#f5f5f5;margin-bottom:1em;font-style:italic}.mw-parser-output .hatnote i{font-style:normal}@media screen{html.skin-theme-clientpref-night .mw-parser-output .hatnote{color:var(--color-inverted,#fff);background-color:var(--background-color-inverted,#101418)}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .hatnote{color:var(--color-inverted,#fff);background-color:var(--background-color-inverted,#101418)}}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style> <table class="hatnote" cellspacing="5"> <tbody><tr> <td style="width: 25px; vertical-align: top;"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Disambig_grey.svg/22px-Disambig_grey.svg.png" decoding="async" width="22" height="17" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Disambig_grey.svg/33px-Disambig_grey.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Disambig_grey.svg/44px-Disambig_grey.svg.png 2x" data-file-width="260" data-file-height="200" /></span></span> </td> <td>Per a altres significats, vegeu «<a href="/wiki/Zero_(desambiguaci%C3%B3)" class="mw-disambig" title="Zero (desambiguació)">Zero (desambiguació)</a>». </td></tr></tbody></table> <table class="infobox" style="font-size:90%;width:25em"><caption style="font-weight:bold;background:#b0d1ad;"><span style="float:left;"><span typeof="mw:File"><span title="Infotaula nombre"><img alt="Infotaula nombre" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Emojione_BW_0037.svg/22px-Emojione_BW_0037.svg.png" decoding="async" width="22" height="22" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Emojione_BW_0037.svg/33px-Emojione_BW_0037.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Emojione_BW_0037.svg/44px-Emojione_BW_0037.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span></span>Zero</caption><tbody><tr><td colspan="2" class="infobox-full-data infobox-data" style="text-align:center"><span typeof="mw:File"><a href="/w/index.php?title=Fitxer:Chess_x0t45.svg&lang=ca" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/db/Chess_x0t45.svg/langca-300px-Chess_x0t45.svg.png" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/db/Chess_x0t45.svg/langca-450px-Chess_x0t45.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/db/Chess_x0t45.svg/langca-600px-Chess_x0t45.svg.png 2x" data-file-width="45" data-file-height="45" /></a></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left;width:35%; background:#eeeeee;">Tipus</th><td class="infobox-data"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q47371099" class="extiw" title="d:Special:EntityPage/Q47371099">non-positive integer</a> <sup>(en)</sup> <span class="mw-valign-baseline skin-invert" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q47371099?uselang=ca" title="Tradueix"><img alt="Tradueix" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/10px-Noun_Project_label_icon_1116097_cc_mirror.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/15px-Noun_Project_label_icon_1116097_cc_mirror.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/20px-Noun_Project_label_icon_1116097_cc_mirror.svg.png 2x" data-file-width="158" data-file-height="161" /></a></span>, <a href="/wiki/Nombre_enter" title="Nombre enter">nombre enter</a>, <a href="https://www.wikidata.org/wiki/Special:EntityPage/Q13366104" class="extiw" title="d:Special:EntityPage/Q13366104">nombre parell</a>, <a href="https://www.wikidata.org/wiki/Special:EntityPage/Q28920052" class="extiw" title="d:Special:EntityPage/Q28920052">enter no negatiu</a>, <a href="https://www.wikidata.org/wiki/Special:EntityPage/Q30027695" class="extiw" title="d:Special:EntityPage/Q30027695">singleton 0</a>, <a href="https://www.wikidata.org/wiki/Special:EntityPage/Q2313686" class="extiw" title="d:Special:EntityPage/Q2313686">nombre automòrfic</a>, <a href="/wiki/Nombre_de_Fibonacci" title="Nombre de Fibonacci">Nombre de Fibonacci</a>, <a href="https://www.wikidata.org/wiki/Special:EntityPage/Q2767837" class="extiw" title="d:Special:EntityPage/Q2767837">additive identity</a> <sup>(en)</sup> <span class="mw-valign-baseline skin-invert" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q2767837?uselang=ca" title="Tradueix"><img alt="Tradueix" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/10px-Noun_Project_label_icon_1116097_cc_mirror.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/15px-Noun_Project_label_icon_1116097_cc_mirror.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/70/Noun_Project_label_icon_1116097_cc_mirror.svg/20px-Noun_Project_label_icon_1116097_cc_mirror.svg.png 2x" data-file-width="158" data-file-height="161" /></a></span> i <a href="/wiki/Nombre_natural" title="Nombre natural">nombre natural</a> <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q204?uselang=ca#P31" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr><tr><th colspan="2" class="infobox-header" style="text-align:center;background:#b0d1ad;">Propietats</th></tr><tr><th scope="row" class="infobox-label" style="text-align:left;width:35%; background:#eeeeee;">Valor</th><td class="infobox-data">0 <span class="penicon"><span class="mw-valign-baseline" typeof="mw:File"><a href="https://www.wikidata.org/wiki/Q204?uselang=ca#P1181" title="Modifica el valor a Wikidata"><img alt="Modifica el valor a Wikidata" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/10px-Arbcom_ru_editing.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/15px-Arbcom_ru_editing.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/63/Arbcom_ru_editing.svg/20px-Arbcom_ru_editing.svg.png 2x" data-file-width="600" data-file-height="600" /></a></span></span></td></tr><tr><th colspan="2" class="infobox-header" style="text-align:center;background:#b0d1ad;">Altres numeracions</th></tr><tr><th scope="row" class="infobox-label" style="text-align:left;width:35%; background:#eeeeee;"><a href="/wiki/Binari" class="mw-redirect" title="Binari">Binari</a></th><td class="infobox-data">0<sub>2</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left;width:35%; background:#eeeeee;"><a href="/wiki/Hexadecimal" class="mw-redirect" title="Hexadecimal">Hexadecimal</a></th><td class="infobox-data">0<sub>16</sub></td></tr></tbody></table> <p>El <b>zero</b> és tant un <a href="/wiki/Nombre" title="Nombre">nombre</a> com un <a href="/wiki/Numeral" title="Numeral">numeral</a>, que segueix el <a href="/wiki/Nombre_-1" class="mw-redirect" title="Nombre -1">menys u</a> i precedeix l'<a href="/wiki/U_(nombre)" title="U (nombre)">u</a>. Permet quantificar la mida del <a href="/wiki/Conjunt_buit" title="Conjunt buit">conjunt buit</a>, ja que un <a href="/wiki/Conjunt_buit" title="Conjunt buit">conjunt buit</a> té zero elements. S'escriu <b>0</b> en les <a href="/wiki/Numeraci%C3%B3_%C3%A0rab" class="mw-redirect" title="Numeració àrab">xifres àrabs</a> i 〇 o 零 en les <a href="/wiki/Numeraci%C3%B3_xinesa" title="Numeració xinesa">xineses</a>. </p><p>Com a nombre, el zero és <a href="/wiki/Nombre_enter" title="Nombre enter">enter</a> i <a href="/wiki/Nombre_parell" title="Nombre parell">parell</a>. De vegades, tot i que no habitualment, el zero s'inclou dins el conjunt de <a href="/wiki/Nombres_naturals" class="mw-redirect" title="Nombres naturals">nombres naturals</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Propietats_del_zero[2]"><span id="Propietats_del_zero.5B2.5D"></span>Propietats del zero<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=1" title="Modifica la secció: Propietats del zero[2]"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A continuació, es descriuen algunes de les propietats bàsiques del nombre zero, vàlides per a <a href="/wiki/Nombre_natural" title="Nombre natural">nombres naturals</a>, <a href="/wiki/Nombre_real" title="Nombre real">reals</a> i <a href="/wiki/Nombre_complex" title="Nombre complex">complexos</a>. </p> <ul><li>En la <a href="/wiki/Suma" title="Suma">suma</a>, el zero és l'<a href="/wiki/Element_neutre" title="Element neutre">element neutre</a>, és a dir, qualsevol nombre <i>x</i>, sumat amb 0 torna a donar <i>x</i>: <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 x+0=x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>+</mo> <mn>0</mn> <mo>=</mo> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x+0=x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/924e0387b7f9eb286cdbfd3a451f2e0c5ab7148d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.761ex; height:2.343ex;" alt="{\displaystyle x+0=x}"></span>.</li> <li>En el <a href="/wiki/Multiplicaci%C3%B3" title="Multiplicació">producte</a>, qualsevol nombre operat amb el 0 dona 0: <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 x\times 0=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>×</mo> <mn>0</mn> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\times 0=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7c53848975b79c30253c1a29c94c2039626593e0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.593ex; height:2.176ex;" alt="{\displaystyle x\times 0=0}"></span>. Hom diu que el zero és l'<a href="/wiki/Element_absorbent" title="Element absorbent">element absorbent</a> de l'operació producte.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></li> <li>En la <a href="/wiki/Divisi%C3%B3" title="Divisió">divisió</a>, zero dividit per qualsevol nombre dona zero: <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 0\div x=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> <mo>÷</mo> <mi>x</mi> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0\div x=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e2cf9529b93c96e3ab0831ad85684465853ab9ae" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.593ex; height:2.176ex;" alt="{\displaystyle 0\div x=0}"></span>, per qualsevol <i>x</i> diferent de zero.</li> <li>També a la divisió i per <i>x</i> diferent de zero, <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 \nexists a\mid x\div 0=a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>∄</mi> <mi>a</mi> <mo>∣</mo> <mi>x</mi> <mo>÷</mo> <mn>0</mn> <mo>=</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \nexists a\mid x\div 0=a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8eebd141cbb70a539b33c24fb314d5fd1120a7f7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.19ex; width:14.312ex; height:2.843ex;" alt="{\displaystyle \nexists a\mid x\div 0=a}"></span> o, cosa que és el mateix, <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 x\div 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo>÷</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\div 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef9c274ae37ba045625dc0ff9cfebc0ef7846216" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.333ex; height:2.176ex;" alt="{\displaystyle x\div 0}"></span> no pot realitzar-se, ja que el zero no té invers multiplicatiu (és a dir, no existeix un nombre que multiplicat per zero doni <i>x</i>). Tot i això, el <a href="/wiki/L%C3%ADmit" title="Límit">límit</a> corresponent a aquesta operació, <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 \lim x\div a;a\longrightarrow 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo movablelimits="true" form="prefix">lim</mo> <mi>x</mi> <mo>÷</mo> <mi>a</mi> <mo>;</mo> <mi>a</mi> <mo stretchy="false">⟶</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lim x\div a;a\longrightarrow 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a827f12078ec1ae35820d53e4605835b816a8a60" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:17.539ex; height:2.509ex;" alt="{\displaystyle \lim x\div a;a\longrightarrow 0}"></span>, tendeix a infinit.</li> <li>El cas restant de la divisió, <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 0\div 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> <mo>÷</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0\div 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/db25f3ad4b9aa99156e83187ca8f38eabded7bd3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.165ex; height:2.176ex;" alt="{\displaystyle 0\div 0}"></span> és una indeterminació, és a dir, pot ser qualsevol nombre, ja que qualsevol nombre multiplicat per zero torna a donar zero.</li> <li>A la <a href="/wiki/Potenciaci%C3%B3" title="Potenciació">potència</a>, <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 x^{0}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{0}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86081f6002152f787bb2dabc959be3ef71ccda89" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.645ex; height:2.676ex;" alt="{\displaystyle x^{0}=1}"></span>, per qualsevol <i>x</i> diferent de zero, ja que per les propietats de les potències, <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 x^{0}=x^{m-m}=x^{m}\div x^{m}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> <mo>−</mo> <mi>m</mi> </mrow> </msup> <mo>=</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msup> <mo>÷</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msup> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{0}=x^{m-m}=x^{m}\div x^{m}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e9ad59de2d983ef8ef577797a0715f26d696efd4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:27.418ex; height:2.676ex;" alt="{\displaystyle x^{0}=x^{m-m}=x^{m}\div x^{m}=1}"></span>.</li> <li>També a la potència i per <i>x</i> igual a zero, seguint la propietat anterior, <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 0^{0}=0\div 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> <mo>=</mo> <mn>0</mn> <mo>÷</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0^{0}=0\div 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9bf8c7f64fa4e5d841a91837d5b5b0ac8021a09d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.48ex; height:2.676ex;" alt="{\displaystyle 0^{0}=0\div 0}"></span>, que, com hem demostrat anteriorment, és una indeterminació.</li> <li>La <a href="/wiki/Paritat_del_zero" title="Paritat del zero">seva paritat</a> és parella, és a dir, zero és un nombre parell, ja que compleix la definició de nombre parell <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 p=2k|k\in \mathbb {Z} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>=</mo> <mn>2</mn> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>k</mi> <mo>∈</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p=2k|k\in \mathbb {Z} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff53cd61bd44bb3ebc94df214593166b8bdb90c7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:12.98ex; height:2.843ex;" alt="{\displaystyle p=2k|k\in \mathbb {Z} }"></span>.</li></ul> <p>En un grup additiu, l'<a href="/wiki/Element_identitat" class="mw-redirect" title="Element identitat">element identitat</a> s'anomena <i>zero</i>. En <a href="/wiki/Geometria" title="Geometria">geometria</a>, la <a href="/wiki/Dimensi%C3%B3" title="Dimensió">dimensió</a> d'un <a href="/wiki/Punt_(geometria)" title="Punt (geometria)">punt</a> és zero. </p> <div class="mw-heading mw-heading2"><h2 id="Representacions_del_valor_zero[4]"><span id="Representacions_del_valor_zero.5B4.5D"></span>Representacions del valor zero<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=2" title="Modifica la secció: Representacions del valor zero[4]"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Numeraci%C3%B3_maia" title="Numeració maia">Numeració maia</a>: <span typeof="mw:File"><a href="/wiki/Fitxer:Cero_maya.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Cero_maya.svg/18px-Cero_maya.svg.png" decoding="async" width="18" height="9" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Cero_maya.svg/27px-Cero_maya.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Cero_maya.svg/36px-Cero_maya.svg.png 2x" data-file-width="303" data-file-height="150" /></a></span>, al voltant del 400 a.C.</li> <li><a href="/wiki/Numeraci%C3%B3_babil%C3%B2nica" title="Numeració babilònica">Numeració babilònica</a>: <span typeof="mw:File/Frameless"><a href="/wiki/Fitxer:Babylonian_digit_0.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Babylonian_digit_0.svg/30px-Babylonian_digit_0.svg.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/07/Babylonian_digit_0.svg/45px-Babylonian_digit_0.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/07/Babylonian_digit_0.svg/60px-Babylonian_digit_0.svg.png 2x" data-file-width="30" data-file-height="30" /></a></span>, al voltant del 400 a.C.</li> <li><a href="/wiki/Numeraci%C3%B3_%C3%ADndia" title="Numeració índia">Numeració índia</a>: <b>௦</b> (<i>shunya chakra</i>) o bé <b>·</b> (<i>shunya bindu</i>), al voltant del segle <span title="Nombre escrit en xifres romanes" style="font-variant:small-caps;">iii</span>.</li> <li><a href="/wiki/Numeraci%C3%B3_xinesa" title="Numeració xinesa">Numeració xinesa</a>: 〇 o 零, a partir del segle <span title="Nombre escrit en xifres romanes" style="font-variant:small-caps;">xii</span>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Etimologia">Etimologia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=3" title="Modifica la secció: Etimologia"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La paraula zero va entrar al català a través de l'italià zero, una contracció de la forma <a href="/wiki/Veneci%C3%A0" class="mw-redirect" title="Venecià">veneciana</a> <i>zevero</i> de l'italià <i>zefiro</i>, de l'àrab <i>ṣifr</i> (صفر),<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> que tenia el significat de "<a href="/wiki/Buit" title="Buit">buit</a>" i va evolucionar fins a significar zero quan es va utilitzar per traduir <i>śūnya</i> (sànscrit: शून्य) de l'Índia. De l'italià va passar al francès, castellà, anglès i català.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p><p>El matemàtic italià <a href="/wiki/Leonardo_de_Pisa" title="Leonardo de Pisa">Leonardo de Pisa</a> <i>Fibonacci</i>, que va créixer al nord d’Àfrica i se li atribueix la introducció del sistema decimal a Europa, va utilitzar el terme zephyrum, que es va convertir en zefiro en italià i després es va contraure a zero en venecià.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Història_del_zero[8]"><span id="Hist.C3.B2ria_del_zero.5B8.5D"></span>Història del zero<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=4" title="Modifica la secció: Història del zero[8]"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>El zero com a numeral ha nascut quatre vegades al llarg de la història. En els <a href="/wiki/Notaci%C3%B3_posicional" title="Notació posicional">sistemes de numeració posicional</a>, com l'actual, resulta necessari tenir un símbol que marqui la manca de nombre per tal de poder diferenciar cada nombre del mateix nombre multiplicat per una potència de deu. Això va dur al sorgiment d'un signe que complís aquestes necessitats a quatre de les majors civilitzacions de la història: <a href="/wiki/Babil%C3%B2nia" title="Babilònia">Babilònia</a>, la <a href="/wiki/Civilitzaci%C3%B3_maia" title="Civilització maia">Civilització Maia</a>, l'<a href="/wiki/%C3%8Dndia_cl%C3%A0ssica" title="Índia clàssica">Índia</a> i la <a href="/wiki/Xina" title="Xina">Xina</a>. </p><p>No obstant això, aquest posicionador no era considerat un nombre, si no simplement una marca. El fet que el zero passés a ser considerat un nombre només va succeir a la Civilització Maia, que l'usava pel calendari, i a l'Índia, on el matemàtic <a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a> publicà el 628 d.C. el seu tractat <a href="/w/index.php?title=Brahmasphutasiddhanta&action=edit&redlink=1" class="new" title="Brahmasphutasiddhanta (encara no existeix)">Brahmasphutasiddhanta</a>, on, entre altres coses, estudiava per primera vegada les operacions matemàtiques amb el zero, que anomenaven <i>shunya</i>, pel concepte budista <a href="/w/index.php?title=Shunya&action=edit&redlink=1" class="new" title="Shunya (encara no existeix)">del mateix nom</a> i d'un significat filosòfic altament relacionat. </p><p>El sistema de numeració hindú va arribar al món àrab gràcies a <a href="/wiki/Muh%C3%A0mmad_ibn_Mussa_al-Khwarazm%C3%AD" title="Muhàmmad ibn Mussa al-Khwarazmí">Muhàmmad ibn Mussa al-Khwarazmí</a> amb la seva obra <i>Algoritmi</i>, que sembla que ha estat la primera en què s'exposà sistemàticament el valor posicional dels nombres en el <a href="/wiki/Sistema_decimal" class="mw-redirect" title="Sistema decimal">sistema decimal</a> (inclòs el <b>zero</b>), a partir del <a href="/wiki/Sistema_de_numeraci%C3%B3_Hind%C3%BA-%C3%80rab" title="Sistema de numeració Hindú-Àrab">sistema de numeració utilitzat a l'Índia</a>.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> Del mon islàmic va passar al món cristià durant les <a href="/wiki/Croades" title="Croades">croades</a>, impulsat especialment per <a href="/wiki/Leonardo_de_Pisa" title="Leonardo de Pisa">Fibonacci</a>. A Europa, el zero va trigar segles a ser usat amb normalitat, i no va ser acceptat completament fins a les obres de <a href="/wiki/Isaac_Newton" title="Isaac Newton">Newton</a> o <a href="/wiki/Gottfried_Wilhelm_Leibniz" title="Gottfried Wilhelm Leibniz">Leibniz</a>, a finals del segle <span title="Nombre escrit en xifres romanes" style="font-variant:small-caps;">xvii</span>. </p><p>El <a href="/wiki/Sistema_de_numeraci%C3%B3_Hind%C3%BA-%C3%80rab" title="Sistema de numeració Hindú-Àrab">sistema de numeració Hindú-Àrab</a> va arribar a l'Europa occidental al segle <span title="Nombre escrit en xifres romanes" style="font-variant:small-caps;">xi</span>, a través d'<a href="/wiki/Al-Andalus" class="mw-redirect" title="Al-Andalus">Al-Andalus</a> pels musulmans espanyols, juntament amb el coneixement de l'astronomia clàssica i instruments com l'<a href="/wiki/Astrolabi" title="Astrolabi">astrolabi</a>; A <a href="/wiki/Gerbert_d%27Aurillac" class="mw-redirect" title="Gerbert d'Aurillac">Gerbert d'Aurillac</a> se li atribueix la reintroducció dels ensenyaments perduts a l'Europa catòlica. Per aquest motiu, els números es van conèixer a Europa com a "números aràbics". El matemàtic italià <a href="/wiki/Leonardo_de_Pisa" title="Leonardo de Pisa">Leonardo de Pisa</a> <i>Fibonacci</i> va ser fonamental per portar el sistema a les matemàtiques europees el 1202.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="El_zero_a_Occident">El zero a Occident</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=5" title="Modifica la secció: El zero a Occident"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>El nombre zero ja existia des de temps enrere, havia sigut descobert molt abans per la <a href="/wiki/Antiga_Gr%C3%A8cia" title="Antiga Grècia">civilització grega</a>, sols que es considerava un secret. Sempre s'ha dit que aquest era un invent relativament modern, que cap civilització mediterrània el coneixia i per aquest motiu molts d'ells empraven sistemes de numeració agregativa.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> No obstant, hi ha constància de que, els <a href="/wiki/Pitag%C3%B2rics" title="Pitagòrics">pitagòrics</a>, deixebles del filòsof i matemàtic <a href="/wiki/Pit%C3%A0gores" title="Pitàgores">Pitàgores</a> i l'escola que creà, amagaven l'existència d'aquest número. Es tractava d'una societat secreta que es dedicava a descobrir els secrets que amagaven les matemàtiques i el descobriment dels números perfectes resultà tota una aventura per a ells. Per aquest motiu, el fet de trobar els números irracionals fou una ruptura completa dels seus esquemes, resultà un fracàs i una destrucció absoluta del que coneixien fins al moment. </p><p>El descobriment d'aquest suposava una amenaça completament per a la seua concepció del món i les seues teories i estructures matemàtiques perfectes. Aquest problema sorgí en tractar d'aplicar el seu teorema al càlcul d'un triangle isòsceles del qual el catet diferent siga 1. El resultat era un nombre irrascional amb decimals infinits i, la falta de precisió fent-lo inexpressable, feu que commocionara tota l'escola i els seus coneixements pel fet que ja no eren capaços d'explicar clarament la concepció dels números racionals i aquesta mena de secta tractà d'amagar aquests junt als números imaginaris, negatius i zero, que consideraven absurds. S'arribà a dir que aquest descobriment fou l causa de la desaparició de l'escola i la mort d'aquells que divulgaren aquesta informació, pues es dedicaren a evitar que el coneixement de la seua existència sortira a la llum i, per tant, el sorgiment del zero no es produïra, no podien concebir que aquest número significara l'existència de "res", resultava controvertit i contrari als ideals que defenien. Es postergà fins que interveniren civilitzacions posteriors.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Física"><span id="F.C3.ADsica"></span>Física</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=6" title="Modifica la secció: Física"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>El valor zero té un paper especial per a moltes magnituds físiques. Per a algunes quantitats, el nivell zero es distingeix naturalment de tots els altres nivells, mentre que per a altres s'escull més o menys arbitràriament. Per exemple, per a una <a href="/wiki/Temperatura_termodin%C3%A0mica" title="Temperatura termodinàmica">temperatura absoluta</a> (mesurada en <a href="/wiki/Kelvin" title="Kelvin">kèlvins</a>), el <a href="/wiki/Zero_absolut" title="Zero absolut">zero</a> és el valor més baix possible (es defineixen <a href="/wiki/Temperatura_negativa" title="Temperatura negativa">temperatura negativas</a>, però els sistemes de temperatura negativa no són realment més freds). Això contrasta, per exemple, amb les temperatures a l'escala Celsius, on el zero es defineix arbitràriament en el <a href="/wiki/Punt_de_fusi%C3%B3" title="Punt de fusió">punt de congelació</a> de l'aigua. Mesurant la intensitat del so en <a href="/wiki/Decibel" title="Decibel">decibels</a> o <a href="/wiki/Fon_(unitat_de_mesura)" title="Fon (unitat de mesura)">fons</a>, el nivell zero s'estableix arbitràriament en un valor de referència, per exemple, en un valor per al llindar d'audició. En <a href="/wiki/F%C3%ADsica" title="Física">física</a>, l'<a href="/wiki/Energia_del_punt_zero" title="Energia del punt zero">energia del punt zero</a> és l'energia més baixa possible que pot tenir un <a href="/wiki/Sistema_f%C3%ADsic" title="Sistema físic">sistema físic</a> <a href="/wiki/Mec%C3%A0nica_qu%C3%A0ntica" title="Mecànica quàntica">mecànic quàntic</a> i és l'energia de l'<a href="/wiki/Estat_estacionari" title="Estat estacionari">estat fonamental</a> del sistema. </p> <div class="mw-heading mw-heading2"><h2 id="Química"><span id="Qu.C3.ADmica"></span>Química</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=7" title="Modifica la secció: Química"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>El zero s'ha proposat com el <a href="/wiki/Nombre_at%C3%B2mic" title="Nombre atòmic">nombre atòmic</a> de l'element teòric <a href="/w/index.php?title=Tetraneutr%C3%B3&action=edit&redlink=1" class="new" title="Tetraneutró (encara no existeix)">tetraneutró</a>. S'ha demostrat que un cúmul de quatre <a href="/wiki/Neutr%C3%B3" title="Neutró">neutrons</a> pot ser prou estable per ser considerat un <a href="/wiki/%C3%80tom" title="Àtom">àtom</a> per dret propi. Això crearia un <a href="/wiki/Element_qu%C3%ADmic" title="Element químic">element</a> sense <a href="/wiki/Prot%C3%B3" title="Protó">protonss</a> i sense càrrega al seu <a href="/wiki/Nucli_at%C3%B2mic" title="Nucli atòmic">nucli</a>. </p><p>Ja l'any 1926, Andreas von Antropoff va encunyar el terme <a href="/wiki/Neutroni" title="Neutroni">neutroni</a> per a una forma conjecturada de <a href="/wiki/Mat%C3%A8ria" title="Matèria">matèria</a> formada per neutrons sense protons, que va col·locar com a element químic de nombre atòmic zero al capdavant del seu nova versió de la <a href="/wiki/Taula_peri%C3%B2dica" title="Taula periòdica">taula periòdica</a>. Posteriorment es va col·locar com a gas noble enmig de diverses representacions en espiral del sistema periòdic de classificació dels elements químics. </p> <div class="mw-heading mw-heading2"><h2 id="Informàtica"><span id="Inform.C3.A0tica"></span>Informàtica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=8" title="Modifica la secció: Informàtica"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La pràctica més habitual al llarg de la història de la humanitat ha estat començar a comptar a un, i aquesta és la pràctica en els primers llenguatges clàssics de <a href="/wiki/Programaci%C3%B3_d%27ordinadors" title="Programació d'ordinadors">programació d'ordinadors</a> com <a href="/wiki/Fortran" title="Fortran">Fortran</a> i <a href="/wiki/COBOL" title="COBOL">COBOL</a>. Tanmateix, a finals de la dècada de 1950, <a href="/wiki/LISP" class="mw-redirect" title="LISP">LISP</a> va introduir la <a href="/w/index.php?title=Numeraci%C3%B3_basada_en_zero&action=edit&redlink=1" class="new" title="Numeració basada en zero (encara no existeix)">numeració basada en zero</a> per a matrius, mentre que <a href="/w/index.php?title=Algol_58&action=edit&redlink=1" class="new" title="Algol 58 (encara no existeix)">Algol 58</a> va introduir una base completament flexible per als subíndexs de matriu (permetent qualsevol nombre enter positiu, negatiu o zero com a base per a subíndex de matriu), i la majoria dels llenguatges de programació posteriors van adoptar una o una altra d'aquestes posicions. Per exemple, els elements d'un <a href="/w/index.php?title=Tipus_de_dades_de_matriu&action=edit&redlink=1" class="new" title="Tipus de dades de matriu (encara no existeix)">matriu</a> es numeren a partir de 0 en <a href="/w/index.php?title=C_(llenguatge_inform%C3%A0tic)&action=edit&redlink=1" class="new" title="C (llenguatge informàtic) (encara no existeix)">C</a>, de manera que per a una matriu d'<i>n</i> elements la seqüència de la matriu índexs va de 0 a <span style="white-space:nowrap;"><i>n</i>−1</span>. </p><p>Pot haver-hi confusió entre la indexació basada en 0 i 1; per exemple, el <a href="/wiki/JDBC" class="mw-redirect" title="JDBC">JDBC</a> de Java indexa els paràmetres des de l'1 encara que el mateix <a href="/wiki/Java_(llenguatge_de_programaci%C3%B3)" title="Java (llenguatge de programació)">Java</a> fa servir una indexació basada en 0.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> </p><p>A les bases de dades, és possible que un camp no tingui valor. Aleshores es diu que té un <a href="/w/index.php?title=Nul_(SQL)&action=edit&redlink=1" class="new" title="Nul (SQL) (encara no existeix)">valor nul</a>.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> Per als camps numèrics no és el valor zero. Per als camps de text, això no està en blanc ni la cadena buida. La presència de valors nuls condueix a la lògica de tres valors. Ja no és una condició ni <i>vertadera</i> ni <i>falsa</i>, però pot ser <i>indeterminada</i>. Qualsevol càlcul que inclogui un valor nul ofereix un resultat nul.<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </p><p>Un <a href="/wiki/Punter_nul" title="Punter nul">punter nul</a> és un punter d'un programa informàtic que no apunta a cap objecte o funció. </p><p>En binari, 0 representa el valor de "desactivat", el que significa que no hi ha flux elèctric.<sup id="cite_ref-FOOTNOTEChris_Woodford20069_16-0" class="reference"><a href="#cite_note-FOOTNOTEChris_Woodford20069-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> </p><p>Zero és el valor de false en molts llenguatges de programació. </p><p>L'<a href="/wiki/Hora_Unix" title="Hora Unix">hora Unix</a> (la data i l'hora associades amb una marca de temps zero) comença la mitjanit abans del primer de gener de 1970.<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> </p><p>L'època del <a href="/wiki/Mac_OS_cl%C3%A0ssic" title="Mac OS clàssic">Mac OS clàssic</a> i <a href="/wiki/Palm_OS" title="Palm OS">Palm OS</a> (la data i l'hora associades amb una marca de temps zero) comença la mitjanit abans del primer de gener de 1904.<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> </p><p>Els programadors sovint utilitzen un zero amb barra (0̸ ) per evitar confusions amb la lletra "<a href="/wiki/O" title="O">O</a>".<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Numeració_dels_anys"><span id="Numeraci.C3.B3_dels_anys"></span>Numeració dels anys</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=9" title="Modifica la secció: Numeració dels anys"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A l'<a href="/w/index.php?title=Era_del_calendari&action=edit&redlink=1" class="new" title="Era del calendari (encara no existeix)">era del calendari</a> <a href="/wiki/Abans_de_Crist" title="Abans de Crist">aC.</a>, l'any 1 aC és el primer any abans del 1 dC; no hi ha un <a href="/wiki/Any_zero" title="Any zero">any zero</a>. Per contra, a la <a href="/wiki/Numeraci%C3%B3_astron%C3%B2mica_dels_anys" title="Numeració astronòmica dels anys">numeració astronòmica dels anys</a>, l'any 1 aC es numera 0, l'any 2 aC es numera -1, i així successivament.<sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> També hi ha un any zero en la major part dels calendaris <a href="/wiki/Calendari_budista" title="Calendari budista">budistes</a> i <a href="/wiki/Calendari_hind%C3%BA" title="Calendari hindú">hindús</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Referències"><span id="Refer.C3.A8ncies"></span>Referències</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=10" title="Modifica la secció: Referències"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist {{#if: | references-column-count references-column-count-{{{col}}}" style="list-style-type: decimal;"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal"><span style="font-variant: small-caps;">Weisstein</span>, Eric W. «<a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/NaturalNumber.html">Natural Number</a>» (en anglès). <i>MathWorld</i>.  Wolfram Research, Inc.. [Consulta: 27 novembre 2013].</span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFIfrah1997"><span style="font-variant: small-caps;">Ifrah</span>, Georges. <i>Historia universal de las cifras</i> (en castellà). Segona.  París: Espasa Fòrum, Desembre, 1997, p. 1434. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/84-239-9730-8" title="Especial:Fonts bibliogràfiques/84-239-9730-8">ISBN 84-239-9730-8</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Historia+universal+de+las+cifras&rft.aulast=Ifrah&rft.aufirst=Georges&rft.date=Desembre%2C+1997&rft.edition=Segona&rft.pub=Espasa+F%C3%B2rum&rft.place=Par%C3%ADs&rft.pages=1434&rft.isbn=84-239-9730-8"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://www.uv.es/vbolos/docencia/mi/propiedades_algebraicas_1.pdf">Propiedades algebraicas de la suma y el producto</a>» (<style data-mw-deduplicate="TemplateStyles:r33780657">.mw-parser-output .linkformat{position:relative;font-family:sans-serif;font-size:0.85em;font-weight:bold;cursor:default;color:#808080;background-color:inherit}@media screen{html.skin-theme-clientpref-night .mw-parser-output .linkformat{background-color:inherit;color:#009400}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .linkformat{background-color:inherit;color:#009400}}</style><span class="linkformat" title="És PDF"><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/PDF_icon_bold.svg/14px-PDF_icon_bold.svg.png" decoding="async" width="14" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/PDF_icon_bold.svg/21px-PDF_icon_bold.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/53/PDF_icon_bold.svg/28px-PDF_icon_bold.svg.png 2x" data-file-width="512" data-file-height="585" /></span></span> PDF</span>).  Universitat de València.</span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFIfrah1997"><span style="font-variant: small-caps;">Ifrah</span>, Georges. <i>Historia universal de las cifras</i> (en espanyol). Segona.  París: Espasa Fòrum, Desembre, 1997, p. 373-376, 735-740, 904. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/84-239-9730-8" title="Especial:Fonts bibliogràfiques/84-239-9730-8">ISBN 84-239-9730-8</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Historia+universal+de+las+cifras&rft.aulast=Ifrah&rft.aufirst=Georges&rft.date=Desembre%2C+1997&rft.edition=Segona&rft.pub=Espasa+F%C3%B2rum&rft.place=Par%C3%ADs&rft.pages=373-376%2C+735-740%2C+904&rft.isbn=84-239-9730-8"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFMenninger1992"><span style="font-variant: small-caps;">Menninger</span>, Karl. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=BFJHzSIj2u0C"><i>Number words and number symbols: a cultural history of numbers</i></a> (en anglès).  Courier Dover Publications, 1992, p. 399–404. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-0-486-27096-8" title="Especial:Fonts bibliogràfiques/978-0-486-27096-8">ISBN 978-0-486-27096-8</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Number+words+and+number+symbols%3A+a+cultural+history+of+numbers&rft.aulast=Menninger&rft.aufirst=Karl&rft.date=1992&rft.pub=Courier+Dover+Publications&rft.pages=399%E2%80%93404&rft.isbn=978-0-486-27096-8&rft_id=https%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3DBFJHzSIj2u0C"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://www.diccionari.cat/GDLC/zero">zero</a>».  diccionari.cat. [Consulta: 29 setembre 2023].</span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><a href="#cite_ref-7">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFIfrah2000"><span style="font-variant: small-caps;">Ifrah</span>, Georges. <a rel="nofollow" class="external text" href="https://archive.org/details/universalhistory0000ifra_y2b9"><i>The Universal History of Numbers: From Prehistory to the Invention of the Computer</i></a> (en anglès).  John Wiley & Sons, 2000. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-0-471-39340-5" title="Especial:Fonts bibliogràfiques/978-0-471-39340-5">ISBN 978-0-471-39340-5</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Universal+History+of+Numbers%3A+From+Prehistory+to+the+Invention+of+the+Computer&rft.aulast=Ifrah&rft.aufirst=Georges&rft.date=2000&rft.pub=John+Wiley+%26+Sons&rft.isbn=978-0-471-39340-5&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Funiversalhistory0000ifra_y2b9"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><a href="#cite_ref-8">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFSeife2000"><span style="font-variant: small-caps;">Seife</span>, Charles. <i>Zero, the biography of a dangerous idea</i> (en anglès). Primera.  Londres: Souvenir Press, 2000. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-0-285-63594-4" title="Especial:Fonts bibliogràfiques/978-0-285-63594-4">ISBN 978-0-285-63594-4</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Zero%2C+the+biography+of+a+dangerous+idea&rft.aulast=Seife&rft.aufirst=Charles&rft.date=2000&rft.edition=Primera&rft.pub=Souvenir+Press&rft.place=Londres&rft.isbn=978-0-285-63594-4"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><a href="#cite_ref-9">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFBrezina2006"><span style="font-variant: small-caps;">Brezina</span>, Corona. <a rel="nofollow" class="external text" href="http://books.google.cat/books?id=3Sfrxde0CXIC&pg=PA95&lpg=PA95&dq=al-Khw%C4%81rizm%C4%AB+zero&source=bl&ots=l4D4Hoqvqq&sig=ml_BdfPBBFb4rMeKql6N3s13n8s&hl=ca&sa=X&ei=FYkZUNXyHYfMhAe2g4CYAw&ved=0CDkQ6AEwAg#v=onepage&q=al-Khw%C4%81rizm%C4%AB%20zero&f=false"><i>Al-Khwarizmi: The Inventor Of Algebra</i></a> (en anglès).  Al-Khwarizmi: The Inventor Of Algebra, 2006, p.95. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/1404205136" title="Especial:Fonts bibliogràfiques/1404205136">ISBN 1404205136</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Al-Khwarizmi%3A+The+Inventor+Of+Algebra&rft.aulast=Brezina&rft.aufirst=Corona&rft.date=2006&rft.pub=Al-Khwarizmi%3A+The+Inventor+Of+Algebra&rft.pages=p.95&rft.isbn=1404205136&rft_id=http%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3D3Sfrxde0CXIC%26pg%3DPA95%26lpg%3DPA95%26dq%3Dal-Khw%25C4%2581rizm%25C4%25AB%2Bzero%26source%3Dbl%26ots%3Dl4D4Hoqvqq%26sig%3Dml_BdfPBBFb4rMeKql6N3s13n8s%26hl%3Dca%26sa%3DX%26ei%3DFYkZUNXyHYfMhAe2g4CYAw%26ved%3D0CDkQ6AEwAg%23v%3Donepage%26q%3Dal-Khw%25C4%2581rizm%25C4%25AB%2520zero%26f%3Dfalse"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><a href="#cite_ref-10">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFHoward1990"><span style="font-variant: small-caps;">Howard</span>, Eves. <i>An Introduction to the History of Mathematics</i> (en anglès). 6a ed.).  Brooks Cole, 1990, p. 261. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/0-03-029558-0" title="Especial:Fonts bibliogràfiques/0-03-029558-0">ISBN 0-03-029558-0</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=An+Introduction+to+the+History+of+Mathematics&rft.aulast=Howard&rft.aufirst=Eves&rft.date=1990&rft.edition=6a+ed.%29&rft.pub=Brooks+Cole&rft.pages=261&rft.isbn=0-03-029558-0"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><a href="#cite_ref-11">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://www.lavanguardia.com/historiayvida/historia-antigua/20200307/473965361617/numero-cero-pi-matematicas-astronomia-ciencia.html">La historia del cero y otros números “raros”</a>» (en castellà), 07-03-2020. [Consulta: 15 desembre 2021].</span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><a href="#cite_ref-12">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://lapiedradesisifo.com/2020/10/18/robert-musil-se-encuentra-con-los-pitagoricos-y-su-contratiempo-con-los-numeros-irracionales/">Robert Musil se encuentra con los pitagóricos y su contratiempo con los números irracionales</a>» (en castellà), 18-10-2020. [Consulta: 15 desembre 2021].</span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><a href="#cite_ref-13">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://web.archive.org/web/20220509185749/https://docs.oracle.com/javase/8/docs/api/java/sql/ResultSet.html">ResultSet (Java Platform SE 8 )</a>». Arxivat de l'<a rel="nofollow" class="external text" href="https://docs.oracle.com/javase/8/docs/api/java/sql/ResultSet.html">original</a> el 9 maig 2022. [Consulta: 9 maig 2022].</span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><a href="#cite_ref-14">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFWuIchikawaCercone1996"><span style="font-variant: small-caps;">Wu</span>, X.; <span style="font-variant: small-caps;">Ichikawa</span>, T.; <span style="font-variant: small-caps;">Cercone</span>, N. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=SdLsCgAAQBAJ&q=%C2%A0In+databases%2C+it+is+possible+for+a+field+not+to+have+a+value+%28null%29&pg=PT197"><i>Knowledge-Base Assisted Database Retrieval Systems</i></a> (en anglès).  World Scientific, 25 octubre 1996. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-981-4501-75-0" title="Especial:Fonts bibliogràfiques/978-981-4501-75-0">ISBN 978-981-4501-75-0</a></span> [Consulta: 7 novembre 2020].</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Knowledge-Base+Assisted+Database+Retrieval+Systems&rft.date=25+octubre+1996&rft.pub=World+Scientific&rft.isbn=978-981-4501-75-0&rft_id=https%3A%2F%2Fbooks.google.cat%2Fbooks%3Fid%3DSdLsCgAAQBAJ%26q%3D%25C2%25A0In%2Bdatabases%252C%2Bit%2Bis%2Bpossible%2Bfor%2Ba%2Bfield%2Bnot%2Bto%2Bhave%2Ba%2Bvalue%2B%2528null%2529%26pg%3DPT197"><span style="display: none;"> </span></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><a href="#cite_ref-15">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://web.archive.org/web/20211123185142/https://www.ibm.com/docs/en/rbd/9.5.1?topic=parts-null-values-nullable-type">Null values and the nullable type</a>», 12-12-2018. Arxivat de l'<a rel="nofollow" class="external text" href="https://www.ibm.com/docs/en/rbd/9.5.1?topic=parts-null-values-nullable-type">original</a> el 23 novembre 2021. [Consulta: 23 novembre 2021]. «In regard to services, sending a null value as an argument in a remote service call means that no data is sent. Because the receiving parameter is nullable, the receiving function creates a new, uninitialized value for the missing data then passes it to the requested service function.»</span></span> </li> <li id="cite_note-FOOTNOTEChris_Woodford20069-16"><span class="mw-cite-backlink"><a href="#cite_ref-FOOTNOTEChris_Woodford20069_16-0">↑</a></span> <span class="reference-text"><a href="#CITEREFChris_Woodford2006">Chris Woodford, 2006</a>, p. 9.</span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><a href="#cite_ref-17">↑</a></span> <span class="reference-text">Paul DuBois. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=lFsaBAAAQBAJ">"MySQL Cookbook: Solutions for Database Developers and Administrators"</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170224134429/https://books.google.cat/books?id=lFsaBAAAQBAJ">Arxivat</a> 24-2-2017 a <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>. 2014. p. 204.</span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><a href="#cite_ref-18">↑</a></span> <span class="reference-text">Arnold Robbins; Nelson Beebe. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=J9WbAgAAQBAJ">"Classic Shell Scripting"</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170224134147/https://books.google.cat/books?id=J9WbAgAAQBAJ">Arxivat</a> 24-2-2017 a <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.. 2005. p. 274</span> </li> <li id="cite_note-19"><span class="mw-cite-backlink"><a href="#cite_ref-19">↑</a></span> <span class="reference-text">Iztok Fajfar. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=eHq9CgAAQBAJ">"Start Programming Using HTML, CSS, and JavaScript"</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170224134155/https://books.google.cat/books?id=eHq9CgAAQBAJ">Arxivat</a> 24-2-2017 a <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.. 2015. p. 160.</span> </li> <li id="cite_note-20"><span class="mw-cite-backlink"><a href="#cite_ref-20">↑</a></span> <span class="reference-text">Darren R. Hayes. <a rel="nofollow" class="external text" href="https://books.google.cat/books?id=0qPfBQAAQBAJ">"A Practical Guide to Computer Forensics Investigations"</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170224134341/https://books.google.cat/books?id=0qPfBQAAQBAJ">Arxivat</a> 24-2-2017 a <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.. 2014. p. 399</span> </li> <li id="cite_note-21"><span class="mw-cite-backlink"><a href="#cite_ref-21">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://web.archive.org/web/20120124051919/http://www.codeproject.com:80/Articles/30040/Font-Survey-42-of-the-Best-Monospaced-Programming">Font Survey: 42 of the Best Monospaced Programming Fonts</a>», 18-08-2010. Arxivat de l'<a rel="nofollow" class="external text" href="https://www.codeproject.com/Articles/30040/Font-Survey-42-of-the-Best-Monospaced-Programming">original</a> el 24 gener 2012. [Consulta: 22 juliol 2021].</span></span> </li> <li id="cite_note-22"><span class="mw-cite-backlink"><a href="#cite_ref-22">↑</a></span> <span class="reference-text"><span class="citation book" style="font-style:normal" id="CITEREFSteel2000"><span style="font-variant: small-caps;">Steel</span>, Duncan. <a rel="nofollow" class="external text" href="https://archive.org/details/markingtimeepicq00stee_0/page/113"><i>Marking time: the epic quest to invent the perfect calendar</i></a>.  John Wiley & Sons, 2000, p. <a rel="nofollow" class="external text" href="https://archive.org/details/markingtimeepicq00stee_0/page/113">113</a>. <span style="font-size:90%; white-space:nowrap;"><a href="/wiki/Especial:Fonts_bibliogr%C3%A0fiques/978-0-471-29827-4" title="Especial:Fonts bibliogràfiques/978-0-471-29827-4">ISBN 978-0-471-29827-4</a></span>. «In the B.C./A.D. scheme there is no year zero. After 31 December 1 BC came 1 January AD 1. ... If you object to that no-year-zero scheme, then don't use it: use the astronomer's counting scheme, with negative year numbers.»</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Marking+time%3A+the+epic+quest+to+invent+the+perfect+calendar&rft.aulast=Steel&rft.aufirst=Duncan&rft.date=2000&rft.pub=John+Wiley+%26+Sons&rft.pages=%5Bhttps%3A%2F%2Farchive.org%2Fdetails%2Fmarkingtimeepicq00stee_0%2Fpage%2F113+113%5D&rft.isbn=978-0-471-29827-4&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fmarkingtimeepicq00stee_0%2Fpage%2F113"><span style="display: none;"> </span></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Enllaços_externs"><span id="Enlla.C3.A7os_externs"></span>Enllaços externs</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&action=edit&section=11" title="Modifica la secció: Enllaços externs"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r33663753">.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:#f9f9f9;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}.mw-parser-output .side-box-center{clear:both;margin:auto}}</style><div class="side-box metadata side-box-right plainlinks"> <div class="side-box-flex"> <div class="side-box-image"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/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/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/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">A <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/P%C3%A0gina_principal?uselang=ca">Wikimedia Commons</a></span> hi ha contingut multimèdia relatiu a: <i><b><a href="https://commons.wikimedia.org/wiki/Category:0_(number)" class="extiw" title="commons:Category:0 (number)">Zero</a></b></i></div></div> </div> <ul><li><a rel="nofollow" class="external text" href="https://www.huffpost.com/entry/worlds-first-zero_b_3276709">Searching for the World's First Zero</a> <style data-mw-deduplicate="TemplateStyles:r33711417">.mw-parser-output .languageicon{font-size:0.95em;color:#555;background-color:inherit}@media screen{html.skin-theme-clientpref-night .mw-parser-output .languageicon{background-color:inherit;color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .languageicon{background-color:inherit;color:white}}</style><span class="languageicon" title="En anglès">(anglès)</span></li> <li><a href="/wiki/Edsger_Dijkstra" title="Edsger Dijkstra">Edsger Dijkstra</a>: <a rel="nofollow" class="external text" href="https://www.cs.utexas.edu/users/EWD/ewd08xx/EWD831.PDF">Why numbering should start at zero</a> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r33711417"><span class="languageicon" title="En anglès">(anglès)</span></li></ul> <div role="navigation" class="navbox" aria-label="Navbox" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Control_d%27autoritats" title="Control d'autoritats">Registres d'autoritat</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Biblioth%C3%A8que_nationale_de_France" class="mw-redirect" title="Bibliothèque nationale de France">BNF</a> <span class="uid"> (<a rel="nofollow" class="external text" href="http://catalogue.bnf.fr/ark:/12148/cb12089393x">1</a>)</span></li> <li><a href="/wiki/Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a> <span class="uid"> (<a rel="nofollow" class="external text" href="http://d-nb.info/gnd/4368215-7">1</a>)</span></li> <li><a href="/wiki/LCCN" class="mw-redirect" title="LCCN">LCCN</a> <span class="uid"> (<a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/subjects/sh85149761">1</a>)</span></li> <li><a href="/wiki/Biblioteca_Nacional_de_la_Rep%C3%BAblica_Txeca" title="Biblioteca Nacional de la República Txeca">NKC</a> <span class="uid"> (<a rel="nofollow" class="external text" href="http://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph323412&CON_LNG=ENG">1</a>)</span></li></ul> </div></td></tr></tbody></table></div> <p><span style="display: none;" class="interProject"><a href="https://ca.wiktionary.org/wiki/zero" class="extiw" title="wikt:zero">Viccionari</a></span> </p>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Obtingut de «<a dir="ltr" href="https://ca.wikipedia.org/w/index.php?title=Zero&oldid=34047503">https://ca.wikipedia.org/w/index.php?title=Zero&oldid=34047503</a>»</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Especial:Categorias" title="Especial:Categorias">Categories</a>: <ul><li><a href="/wiki/Categoria:Nombres_triangulars" title="Categoria:Nombres triangulars">Nombres triangulars</a></li><li><a href="/wiki/Categoria:Quadrats_perfectes" title="Categoria:Quadrats perfectes">Quadrats perfectes</a></li><li><a href="/wiki/Categoria:No-res" title="Categoria:No-res">No-res</a></li><li><a href="/wiki/Categoria:Nombres_c%C3%BAbics" title="Categoria:Nombres cúbics">Nombres cúbics</a></li><li><a href="/wiki/Categoria:Nombres_icosa%C3%A8drics" title="Categoria:Nombres icosaèdrics">Nombres icosaèdrics</a></li><li><a href="/wiki/Categoria:Nombres_octa%C3%A8drics" title="Categoria:Nombres octaèdrics">Nombres octaèdrics</a></li><li><a href="/wiki/Categoria:Nombres_d%27Erd%C5%91s-Woods" title="Categoria:Nombres d'Erdős-Woods">Nombres d'Erdős-Woods</a></li><li><a href="/wiki/Categoria:Nombres_tetra%C3%A8drics" title="Categoria:Nombres tetraèdrics">Nombres tetraèdrics</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Categories ocultes: <ul><li><a href="/wiki/Categoria:Articles_amb_la_plantilla_Webarchive_amb_enlla%C3%A7_wayback" title="Categoria:Articles amb la plantilla Webarchive amb enllaç wayback">Articles amb la plantilla Webarchive amb enllaç wayback</a></li><li><a href="/wiki/Categoria:P%C3%A0gines_amb_etiquetes_de_Wikidata_sense_traducci%C3%B3" title="Categoria:Pàgines amb etiquetes de Wikidata sense traducció">Pàgines amb etiquetes de Wikidata sense traducció</a></li><li><a href="/wiki/Categoria:P%C3%A0gines_amb_enlla%C3%A7_commonscat_des_de_Wikidata" title="Categoria:Pàgines amb enllaç commonscat des de Wikidata">Pàgines amb enllaç commonscat des de Wikidata</a></li><li><a href="/wiki/Categoria:Control_d%27autoritats" title="Categoria:Control d'autoritats">Control d'autoritats</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"> La pàgina va ser modificada per darrera vegada el 29 set 2024 a les 19:36.</li> <li id="footer-info-copyright">El text està disponible sota la <a href="/wiki/Viquip%C3%A8dia:Text_de_la_llic%C3%A8ncia_de_Creative_Commons_Reconeixement-Compartir_Igual_4.0_No_adaptada" title="Viquipèdia:Text de la llicència de Creative Commons Reconeixement-Compartir Igual 4.0 No adaptada"> Llicència de Creative Commons Reconeixement i Compartir-Igual</a>; es poden aplicar termes addicionals. Vegeu les <a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use/ca">Condicions d'ús</a>. Wikipedia® (Viquipèdia™) és una <a href="/wiki/Marca_comercial" title="Marca comercial">marca registrada</a> de <a rel="nofollow" class="external text" href="https://www.wikimediafoundation.org">Wikimedia Foundation, Inc</a>.<br /></li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Política de privadesa</a></li> <li id="footer-places-about"><a href="/wiki/Viquip%C3%A8dia:Quant_a_la_Viquip%C3%A8dia">Quant al projecte Viquipèdia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Viquip%C3%A8dia:Av%C3%ADs_d%27exempci%C3%B3_de_responsabilitat">Descàrrec de responsabilitat</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Codi de conducta</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Desenvolupadors</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/ca.wikipedia.org">Estadístiques</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Declaració de cookies</a></li> <li id="footer-places-mobileview"><a href="//ca.m.wikipedia.org/w/index.php?title=Zero&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Versió per a mòbils</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-78f4c97c5d-4ctcx","wgBackendResponseTime":135,"wgPageParseReport":{"limitreport":{"cputime":"0.365","walltime":"0.735","ppvisitednodes":{"value":5527,"limit":1000000},"postexpandincludesize":{"value":45728,"limit":2097152},"templateargumentsize":{"value":13127,"limit":2097152},"expansiondepth":{"value":13,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":1,"limit":20},"unstrip-size":{"value":26091,"limit":5000000},"entityaccesscount":{"value":1,"limit":400},"timingprofile":["100.00% 489.905 1 -total"," 36.87% 180.647 1 Plantilla:Infotaula_nombre"," 36.35% 178.070 1 Plantilla:Infobox"," 29.62% 145.133 1 Plantilla:Referències"," 19.47% 95.365 1 Plantilla:Commonscat"," 18.17% 88.998 1 Plantilla:Sister"," 17.90% 87.673 1 Plantilla:Caixa_lateral"," 12.45% 60.987 9 Plantilla:Ref-llibre"," 11.64% 57.045 8 Plantilla:Ref-web"," 4.62% 22.625 1 Plantilla:Autoritat"]},"scribunto":{"limitreport-timeusage":{"value":"0.122","limit":"10.000"},"limitreport-memusage":{"value":3298606,"limit":52428800}},"cachereport":{"origin":"mw-api-int.codfw.main-7f85796d66-6vf9w","timestamp":"20241127123331","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Zero","url":"https:\/\/ca.wikipedia.org\/wiki\/Zero","sameAs":"http:\/\/www.wikidata.org\/entity\/Q204","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q204","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":"2003-08-31T12:40:01Z","dateModified":"2024-09-29T18:36:56Z","image":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/d\/db\/Chess_x0t45.svg","headline":"nombre i numeral, que segueix el menys u i precedeix l'u"}</script> </body> </html>