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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">Menu nagusia</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">ezkutatu</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Nabigazioa </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/Azala" title="Azala bisitatu [z]" accesskey="z"><span>Azala</span></a></li><li id="n-Txikipedia" class="mw-list-item"><a href="/wiki/Txikipedia:Azala"><span>Txikipedia</span></a></li><li id="n-Ikusgela" class="mw-list-item"><a href="/wiki/Atari:Hezkuntza/Ikusgela"><span>Ikusgela</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Txokoa" title="Proiektuaren inguruan, zer egin dezakezu, non aurkitu nahi duzuna"><span>Txokoa</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Berezi:AzkenAldaketak" title="Wikiko azken aldaketen zerrenda. [r]" accesskey="r"><span>Aldaketa berriak</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Berezi:Ausazkoa" title="Ausazko orrialde bat kargatu [x]" accesskey="x"><span>Ausazko orria</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Laguntza:Sarrera" title="Aurkitzeko lekua."><span>Laguntza</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Azala" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="Entziklopedia askea" src="/static/images/mobile/copyright/wikipedia-tagline-eu.svg" width="120" height="13" style="width: 7.5em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Berezi:Bilatu" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Wikipedia(e)n bilatu [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Bilatu</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="Wikipedia wikian bilatu" aria-label="Wikipedia wikian bilatu" autocapitalize="sentences" title="Wikipedia(e)n bilatu [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Berezi:Bilatu"> </div> <button class="cdx-button cdx-search-input__end-button">Bilatu</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Tresna pertsonalak"> <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="Itxura"> <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="Itxura" > <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">Itxura</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_eu.wikipedia.org&uselang=eu" class=""><span>Dohaintza egin</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=Berezi:KontuaSortu&returnto=Zero" title="Kontu bat sortu eta horrekin saioa hastea eskatu nahi genizuke; ez da ezinbestekoa, ordea." class=""><span>Sortu kontua</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=Berezi:SaioaHasi&returnto=Zero" title="Izen ematera gonbidatzen zaitugu. [o]" accesskey="o" class=""><span>Hasi saioa</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="Aukera gehiago" > <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="Tresna pertsonalak" > <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">Tresna pertsonalak</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_eu.wikipedia.org&uselang=eu"><span>Dohaintza egin</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Berezi:KontuaSortu&returnto=Zero" title="Kontu bat sortu eta horrekin saioa hastea eskatu nahi genizuke; ez da ezinbestekoa, ordea."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Sortu kontua</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Berezi:SaioaHasi&returnto=Zero" title="Izen ematera gonbidatzen zaitugu. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Hasi saioa</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"> Izena eman gabeko erabiltzaileentzako orrialdeak <a href="/wiki/Laguntza:Sarrera" aria-label="Artikuluak aldatzeari buruz gehiago ikasi"><span>gehiago ikasi</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/Berezi:NireEkarpenak" title="IP helbide honetatik egindako aldaketen zerrenda [y]" accesskey="y"><span>Ekarpenak</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Berezi:NireEztabaida" title="Zure IParen eztabaida [n]" accesskey="n"><span>Eztabaida</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="Gunea"> <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="Edukiak" 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">Edukiak</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ezkutatu</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">⇑ Gora</div> </a> </li> <li id="toc-Historia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Historia"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Historia</span> </div> </a> <button aria-controls="toc-Historia-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Historia azpiatal</span> </button> <ul id="toc-Historia-sublist" class="vector-toc-list"> <li id="toc-Zero_posizionala" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Zero_posizionala"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Zero posizionala</span> </div> </a> <ul id="toc-Zero_posizionala-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Zeroaren_irudikapenak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zeroaren_irudikapenak"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Zeroaren irudikapenak</span> </div> </a> <button aria-controls="toc-Zeroaren_irudikapenak-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Zeroaren irudikapenak azpiatal</span> </button> <ul id="toc-Zeroaren_irudikapenak-sublist" class="vector-toc-list"> <li id="toc-Zero_balioaren_irudikapen_grafikoa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Zero_balioaren_irudikapen_grafikoa"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Zero balioaren irudikapen grafikoa</span> </div> </a> <ul id="toc-Zero_balioaren_irudikapen_grafikoa-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Zero_eta_zenbaki_arruntak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zero_eta_zenbaki_arruntak"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Zero eta zenbaki arruntak</span> </div> </a> <ul id="toc-Zero_eta_zenbaki_arruntak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Matematika" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Matematika"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Matematika</span> </div> </a> <button aria-controls="toc-Matematika-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Matematika azpiatal</span> </button> <ul id="toc-Matematika-sublist" class="vector-toc-list"> <li id="toc-Eragiketa_matematikoak_zeroarekin" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Eragiketa_matematikoak_zeroarekin"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Eragiketa matematikoak zeroarekin</span> </div> </a> <ul id="toc-Eragiketa_matematikoak_zeroarekin-sublist" class="vector-toc-list"> <li id="toc-Zeroa_batuketan" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Zeroa_batuketan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1.1</span> <span>Zeroa batuketan</span> </div> </a> <ul id="toc-Zeroa_batuketan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zeroa_kenketan" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Zeroa_kenketan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1.2</span> <span>Zeroa kenketan</span> </div> </a> <ul id="toc-Zeroa_kenketan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zeroa_biderketan" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Zeroa_biderketan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1.3</span> <span>Zeroa biderketan</span> </div> </a> <ul id="toc-Zeroa_biderketan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zeroa_zatiketan" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Zeroa_zatiketan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1.4</span> <span>Zeroa zatiketan</span> </div> </a> <ul id="toc-Zeroa_zatiketan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zerogatik_zatiketa_zenbaki_errealetan" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Zerogatik_zatiketa_zenbaki_errealetan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1.5</span> <span>Zerogatik zatiketa zenbaki errealetan</span> </div> </a> <ul id="toc-Zerogatik_zatiketa_zenbaki_errealetan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zeroa_limiteen_zatiketetan" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Zeroa_limiteen_zatiketetan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1.6</span> <span>Zeroa limiteen zatiketetan</span> </div> </a> <ul id="toc-Zeroa_limiteen_zatiketetan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zeroa_berreketan" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Zeroa_berreketan"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1.7</span> <span>Zeroa berreketan</span> </div> </a> <ul id="toc-Zeroa_berreketan-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Matematiketako_beste_atal_batzuk" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Matematiketako_beste_atal_batzuk"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Matematiketako beste atal batzuk</span> </div> </a> <ul id="toc-Matematiketako_beste_atal_batzuk-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Erlazionatutako_termino_matematikoak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Erlazionatutako_termino_matematikoak"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Erlazionatutako termino matematikoak</span> </div> </a> <ul id="toc-Erlazionatutako_termino_matematikoak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fisika" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Fisika"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Fisika</span> </div> </a> <ul id="toc-Fisika-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kimika" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kimika"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Kimika</span> </div> </a> <ul id="toc-Kimika-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Konputazioaren_zientzia" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Konputazioaren_zientzia"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Konputazioaren zientzia</span> </div> </a> <ul id="toc-Konputazioaren_zientzia-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Sinboloa" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Sinboloa"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Sinboloa</span> </div> </a> <ul id="toc-Sinboloa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zeroa_Euler-en_identitatean" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zeroa_Euler-en_identitatean"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>Zeroa Euler-en identitatean</span> </div> </a> <ul id="toc-Zeroa_Euler-en_identitatean-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Erreferentziak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Erreferentziak"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>Erreferentziak</span> </div> </a> <ul id="toc-Erreferentziak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kanpo_estekak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kanpo_estekak"> <div class="vector-toc-text"> <span class="vector-toc-numb">13</span> <span>Kanpo estekak</span> </div> </a> <ul id="toc-Kanpo_estekak-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="Edukiak" 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="Eduki taularen ikusgarritasuna aldatu" > <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">Eduki taularen ikusgarritasuna aldatu</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="Joan beste hizkuntza batean idatzitako artikulu batera. 156 hizkuntzatan eskuragarri." > <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 hizkuntza</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 – abkhaziera" lang="ab" hreflang="ab" data-title="Аноль" data-language-autonym="Аԥсшәа" data-language-local-name="abkhaziera" 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) – afrikaansa" lang="af" hreflang="af" data-title="0 (getal)" data-language-autonym="Afrikaans" data-language-local-name="afrikaansa" 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 – Suitzako alemana" lang="gsw" hreflang="gsw" data-title="Null" data-language-autonym="Alemannisch" data-language-local-name="Suitzako alemana" 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 – amharera" lang="am" hreflang="am" data-title="0" data-language-autonym="አማርኛ" data-language-local-name="amharera" 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) – arabiera" lang="ar" hreflang="ar" data-title="0 (عدد)" data-language-autonym="العربية" data-language-local-name="arabiera" 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) – Aramaic" lang="arc" hreflang="arc" data-title="0 (ܡܢܝܢܐ)" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="Aramaic" 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 – assamera" lang="as" hreflang="as" data-title="শূন্য" data-language-autonym="অসমীয়া" data-language-local-name="assamera" 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 – asturiera" lang="ast" hreflang="ast" data-title="Cero" data-language-autonym="Asturianu" data-language-local-name="asturiera" 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 – azerbaijanera" lang="az" hreflang="az" data-title="0" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaijanera" 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) – baxkirera" lang="ba" hreflang="ba" data-title="0 (һан)" data-language-autonym="Башҡортса" data-language-local-name="baxkirera" 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) – baliera" lang="ban" hreflang="ban" data-title="0 (angka)" data-language-autonym="Basa Bali" data-language-local-name="baliera" 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) – bielorrusiera" lang="be" hreflang="be" data-title="0 (лік)" data-language-autonym="Беларуская" data-language-local-name="bielorrusiera" 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 – bulgariera" lang="bg" hreflang="bg" data-title="Нула" data-language-autonym="Български" data-language-local-name="bulgariera" 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) – bengalera" lang="bn" hreflang="bn" data-title="০ (সংখ্যা)" data-language-autonym="বাংলা" data-language-local-name="bengalera" 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།) – tibetera" lang="bo" hreflang="bo" data-title="༠ (གྲངས་ཀ།)" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetera" 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) – bosniera" lang="bs" hreflang="bs" data-title="0 (broj)" data-language-autonym="Bosanski" data-language-local-name="bosniera" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Zero" title="Zero – katalana" lang="ca" hreflang="ca" data-title="Zero" data-language-autonym="Català" data-language-local-name="katalana" class="interlanguage-link-target"><span>Català</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) – erdialdeko kurduera" lang="ckb" hreflang="ckb" data-title="٠ (ژمارە)" data-language-autonym="کوردی" data-language-local-name="erdialdeko kurduera" 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 – txekiera" lang="cs" hreflang="cs" data-title="Nula" data-language-autonym="Čeština" data-language-local-name="txekiera" 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 – galesa" lang="cy" hreflang="cy" data-title="0" data-language-autonym="Cymraeg" data-language-local-name="galesa" 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) – daniera" lang="da" hreflang="da" data-title="0 (tal)" data-language-autonym="Dansk" data-language-local-name="daniera" 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 – alemana" lang="de" hreflang="de" data-title="Null" data-language-autonym="Deutsch" data-language-local-name="alemana" 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) – greziera" lang="el" hreflang="el" data-title="0 (αριθμός)" data-language-autonym="Ελληνικά" data-language-local-name="greziera" 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 – ingelesa" lang="en" hreflang="en" data-title="0" data-language-autonym="English" data-language-local-name="ingelesa" 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 – esperantoa" lang="eo" hreflang="eo" data-title="Nulo" data-language-autonym="Esperanto" data-language-local-name="esperantoa" 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 – gaztelania" lang="es" hreflang="es" data-title="Cero" data-language-autonym="Español" data-language-local-name="gaztelania" 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 – estoniera" lang="et" hreflang="et" data-title="Null" data-language-autonym="Eesti" data-language-local-name="estoniera" class="interlanguage-link-target"><span>Eesti</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 – persiera" lang="fa" hreflang="fa" data-title="صفر" data-language-autonym="فارسی" data-language-local-name="persiera" 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) – finlandiera" lang="fi" hreflang="fi" data-title="0 (luku)" data-language-autonym="Suomi" data-language-local-name="finlandiera" 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 – fijiera" lang="fj" hreflang="fj" data-title="Saiva" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fijiera" 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) – faroera" lang="fo" hreflang="fo" data-title="0 (tal)" data-language-autonym="Føroyskt" data-language-local-name="faroera" 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 – frantsesa" lang="fr" hreflang="fr" data-title="Zéro" data-language-autonym="Français" data-language-local-name="frantsesa" 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 – iparraldeko frisiera" lang="frr" hreflang="frr" data-title="Nol" data-language-autonym="Nordfriisk" data-language-local-name="iparraldeko frisiera" 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) – friulera" lang="fur" hreflang="fur" data-title="0 (numar)" data-language-autonym="Furlan" data-language-local-name="friulera" 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 – galiziera" lang="gl" hreflang="gl" data-title="Cero" data-language-autonym="Galego" data-language-local-name="galiziera" 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) – guaraniera" lang="gn" hreflang="gn" data-title="Mba'eve (papaha)" data-language-autonym="Avañe'ẽ" data-language-local-name="guaraniera" 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) – gujaratera" lang="gu" hreflang="gu" data-title="૦ (શૂન્ય)" data-language-autonym="ગુજરાતી" data-language-local-name="gujaratera" 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) – manxera" lang="gv" hreflang="gv" data-title="0 (earroo)" data-language-autonym="Gaelg" data-language-local-name="manxera" 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) – hausa" lang="ha" hreflang="ha" data-title="0 (alƙalami)" data-language-autonym="Hausa" data-language-local-name="hausa" 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 – Hakka Chinese" lang="hak" hreflang="hak" data-title="0" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" 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) – hebreera" lang="he" hreflang="he" data-title="0 (מספר)" data-language-autonym="עברית" data-language-local-name="hebreera" 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 – hindia" lang="hi" hreflang="hi" data-title="शून्य" data-language-autonym="हिन्दी" data-language-local-name="hindia" 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 – kroaziera" lang="hr" hreflang="hr" data-title="Nula" data-language-autonym="Hrvatski" data-language-local-name="kroaziera" 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) – Haitiko kreolera" lang="ht" hreflang="ht" data-title="0 (nonm)" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitiko kreolera" 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) – hungariera" lang="hu" hreflang="hu" data-title="0 (szám)" data-language-autonym="Magyar" data-language-local-name="hungariera" 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) – armeniera" lang="hy" hreflang="hy" data-title="0 (թիվ)" data-language-autonym="Հայերեն" data-language-local-name="armeniera" 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) – indonesiera" lang="id" hreflang="id" data-title="0 (angka)" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiera" 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) – igboera" lang="ig" hreflang="ig" data-title="0 (Ónúọgụgụ)" data-language-autonym="Igbo" data-language-local-name="igboera" 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 – Inupiaq" lang="ik" hreflang="ik" data-title="Kisitchisaġvik" data-language-autonym="Iñupiatun" data-language-local-name="Inupiaq" 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 – ingushera" lang="inh" hreflang="inh" data-title="КӀолх" data-language-autonym="ГӀалгӀай" data-language-local-name="ingushera" 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 – idoa" lang="io" hreflang="io" data-title="Zero" data-language-autonym="Ido" data-language-local-name="idoa" 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 – islandiera" lang="is" hreflang="is" data-title="Núll" data-language-autonym="Íslenska" data-language-local-name="islandiera" 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) – italiera" lang="it" hreflang="it" data-title="0 (numero)" data-language-autonym="Italiano" data-language-local-name="italiera" 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 – japoniera" lang="ja" hreflang="ja" data-title="0" data-language-autonym="日本語" data-language-local-name="japoniera" 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) – georgiera" lang="ka" hreflang="ka" data-title="0 (რიცხვი)" data-language-autonym="ქართული" data-language-local-name="georgiera" 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 – tyapa" lang="kcg" hreflang="kcg" data-title="0" data-language-autonym="Tyap" data-language-local-name="tyapa" 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) – kikuyuera" lang="ki" hreflang="ki" data-title="Kĩbũgũ (mathabu)" data-language-autonym="Gĩkũyũ" data-language-local-name="kikuyuera" 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) – kazakhera" lang="kk" hreflang="kk" data-title="0 (сан)" data-language-autonym="Қазақша" data-language-local-name="kazakhera" 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 – khemerera" lang="km" hreflang="km" data-title="០" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="khemerera" 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 – koreera" lang="ko" hreflang="ko" data-title="0" data-language-autonym="한국어" data-language-local-name="koreera" 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) – kaxmirera" lang="ks" hreflang="ks" data-title="0 (گرَٛنٛد)" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="kaxmirera" 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) – kurduera" lang="ku" hreflang="ku" data-title="Sifir (hejmar)" data-language-autonym="Kurdî" data-language-local-name="kurduera" 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 – kirgizera" lang="ky" hreflang="ky" data-title="Нөл" data-language-autonym="Кыргызча" data-language-local-name="kirgizera" 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 – latina" lang="la" hreflang="la" data-title="0" data-language-autonym="Latina" data-language-local-name="latina" 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 – luganda" lang="lg" hreflang="lg" data-title="Zeero" data-language-autonym="Luganda" data-language-local-name="luganda" 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 – limburgera" lang="li" hreflang="li" data-title="Nól" data-language-autonym="Limburgs" data-language-local-name="limburgera" 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 – Lombard" lang="lmo" hreflang="lmo" data-title="Nümar 0" data-language-autonym="Lombard" data-language-local-name="Lombard" 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) – lituaniera" lang="lt" hreflang="lt" data-title="0 (skaičius)" data-language-autonym="Lietuvių" data-language-local-name="lituaniera" 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 – letoniera" lang="lv" hreflang="lv" data-title="Nulle" data-language-autonym="Latviešu" data-language-local-name="letoniera" 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 – maithilia" lang="mai" hreflang="mai" data-title="शून्य" data-language-autonym="मैथिली" data-language-local-name="maithilia" 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) – mazedoniera" lang="mk" hreflang="mk" data-title="0 (број)" data-language-autonym="Македонски" data-language-local-name="mazedoniera" 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 – malabarera" lang="ml" hreflang="ml" data-title="പൂജ്യം" data-language-autonym="മലയാളം" data-language-local-name="malabarera" 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 – manipurera" lang="mni" hreflang="mni" data-title="꯰" data-language-autonym="ꯃꯤꯇꯩ ꯂꯣꯟ" data-language-local-name="manipurera" 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) – marathera" lang="mr" hreflang="mr" data-title="० (संख्या)" data-language-autonym="मराठी" data-language-local-name="marathera" 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) – malaysiera" lang="ms" hreflang="ms" data-title="0 (nombor)" data-language-autonym="Bahasa Melayu" data-language-local-name="malaysiera" 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 – birmaniera" lang="my" hreflang="my" data-title="၀" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmaniera" 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 – erziera" lang="myv" hreflang="myv" data-title="Чаво" data-language-autonym="Эрзянь" data-language-local-name="erziera" 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 – mazandarandera" lang="mzn" hreflang="mzn" data-title="۰" data-language-autonym="مازِرونی" data-language-local-name="mazandarandera" 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 – napoliera" lang="nap" hreflang="nap" data-title="Zero" data-language-autonym="Napulitano" data-language-local-name="napoliera" 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) – behe-saxoiera" lang="nds-NL" hreflang="nds-NL" data-title="0 (getal)" data-language-autonym="Nedersaksies" data-language-local-name="behe-saxoiera" 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 – newarera" lang="new" hreflang="new" data-title="शून्य" data-language-autonym="नेपाल भाषा" data-language-local-name="newarera" 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) – nederlandera" lang="nl" hreflang="nl" data-title="0 (getal)" data-language-autonym="Nederlands" data-language-local-name="nederlandera" 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 – nynorsk (norvegiera)" lang="nn" hreflang="nn" data-title="0" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorsk (norvegiera)" 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) – bokmål (norvegiera)" lang="nb" hreflang="nb" data-title="0 (tall)" data-language-autonym="Norsk bokmål" data-language-local-name="bokmål (norvegiera)" 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) – pediera" lang="nso" hreflang="nso" data-title="0 (nomoro)" data-language-autonym="Sesotho sa Leboa" data-language-local-name="pediera" 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) – okzitaniera" lang="oc" hreflang="oc" data-title="0 (nombre)" data-language-autonym="Occitan" data-language-local-name="okzitaniera" 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 – oromoera" lang="om" hreflang="om" data-title="0" data-language-autonym="Oromoo" data-language-local-name="oromoera" 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 – punjabera" lang="pa" hreflang="pa" data-title="ਸਿਫ਼ਰ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punjabera" 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 – poloniera" lang="pl" hreflang="pl" data-title="0" data-language-autonym="Polski" data-language-local-name="poloniera" 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 – paxtunera" lang="ps" hreflang="ps" data-title="۰" data-language-autonym="پښتو" data-language-local-name="paxtunera" 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) – portugesa" lang="pt" hreflang="pt" data-title="0 (número)" data-language-autonym="Português" data-language-local-name="portugesa" 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 – kitxua" lang="qu" hreflang="qu" data-title="Ch'usaq yupay" data-language-autonym="Runa Simi" data-language-local-name="kitxua" 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 – rundiera" lang="rn" hreflang="rn" data-title="Ubusa" data-language-autonym="Ikirundi" data-language-local-name="rundiera" 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) – errumaniera" lang="ro" hreflang="ro" data-title="0 (cifră)" data-language-autonym="Română" data-language-local-name="errumaniera" 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 – errusiera" lang="ru" hreflang="ru" data-title="Ноль" data-language-autonym="Русский" data-language-local-name="errusiera" 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 – kinyaruanda" lang="rw" hreflang="rw" data-title="Ubusa" data-language-autonym="Ikinyarwanda" data-language-local-name="kinyaruanda" 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) – sanskritoa" lang="sa" hreflang="sa" data-title="शून्यम् (सङ्ख्या)" data-language-autonym="संस्कृतम्" data-language-local-name="sanskritoa" 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 – sakhera" lang="sah" hreflang="sah" data-title="Нуул" data-language-autonym="Саха тыла" data-language-local-name="sakhera" 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 – santalera" lang="sat" hreflang="sat" data-title="᱐" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="santalera" 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 – siziliera" lang="scn" hreflang="scn" data-title="Zeru" data-language-autonym="Sicilianu" data-language-local-name="siziliera" 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 – eskoziera" lang="sco" hreflang="sco" data-title="0" data-language-autonym="Scots" data-language-local-name="eskoziera" 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) – serbokroaziera" lang="sh" hreflang="sh" data-title="0 (broj)" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroaziera" 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) – tachelhita" lang="shi" hreflang="shi" data-title="0 (amḍan)" data-language-autonym="Taclḥit" data-language-local-name="tachelhita" 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) – eslovakiera" lang="sk" hreflang="sk" data-title="0 (číslo)" data-language-autonym="Slovenčina" data-language-local-name="eslovakiera" 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 – esloveniera" lang="sl" hreflang="sl" data-title="0" data-language-autonym="Slovenščina" data-language-local-name="esloveniera" 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 – shonera" lang="sn" hreflang="sn" data-title="Chipasina" data-language-autonym="ChiShona" data-language-local-name="shonera" 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) – somaliera" lang="so" hreflang="so" data-title="0 (tiro)" data-language-autonym="Soomaaliga" data-language-local-name="somaliera" 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) – albaniera" lang="sq" hreflang="sq" data-title="0 (numër)" data-language-autonym="Shqip" data-language-local-name="albaniera" 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) – serbiera" lang="sr" hreflang="sr" data-title="0 (број)" data-language-autonym="Српски / srpski" data-language-local-name="serbiera" 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 tongoa" lang="srn" hreflang="srn" data-title="Numro 0" data-language-autonym="Sranantongo" data-language-local-name="sranan tongoa" 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) – suediera" lang="sv" hreflang="sv" data-title="0 (tal)" data-language-autonym="Svenska" data-language-local-name="suediera" 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 – swahilia" lang="sw" hreflang="sw" data-title="Sifuri" data-language-autonym="Kiswahili" data-language-local-name="swahilia" 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 – Silesian" lang="szl" hreflang="szl" data-title="0" data-language-autonym="Ślůnski" data-language-local-name="Silesian" 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) – tamilera" lang="ta" hreflang="ta" data-title="0 (எண்)" data-language-autonym="தமிழ்" data-language-local-name="tamilera" 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 – telugua" lang="te" hreflang="te" data-title="సున్న" data-language-autonym="తెలుగు" data-language-local-name="telugua" 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 – tajikera" lang="tg" hreflang="tg" data-title="Сифр" data-language-autonym="Тоҷикӣ" data-language-local-name="tajikera" 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 – thailandiera" lang="th" hreflang="th" data-title="0" data-language-autonym="ไทย" data-language-local-name="thailandiera" 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) – tagaloa" lang="tl" hreflang="tl" data-title="0 (bilang)" data-language-autonym="Tagalog" data-language-local-name="tagaloa" 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 – turkiera" lang="tr" hreflang="tr" data-title="0" data-language-autonym="Türkçe" data-language-local-name="turkiera" 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 – tsongera" lang="ts" hreflang="ts" data-title="Tandza" data-language-autonym="Xitsonga" data-language-local-name="tsongera" 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) – tatarera" lang="tt" hreflang="tt" data-title="0 (сан)" data-language-autonym="Татарча / tatarça" data-language-local-name="tatarera" 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) – ukrainera" lang="uk" hreflang="uk" data-title="0 (число)" data-language-autonym="Українська" data-language-local-name="ukrainera" 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) – urdua" lang="ur" hreflang="ur" data-title="صفر (عدد)" data-language-autonym="اردو" data-language-local-name="urdua" 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) – uzbekera" lang="uz" hreflang="uz" data-title="0 (son)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekera" 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) – Veps" lang="vep" hreflang="vep" data-title="0 (lugu)" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" 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) – vietnamera" lang="vi" hreflang="vi" data-title="0 (số)" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamera" 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) – West Flemish" lang="vls" hreflang="vls" data-title="0 (getal)" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" 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 – valoniera" lang="wa" hreflang="wa" data-title="0" data-language-autonym="Walon" data-language-local-name="valoniera" 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) – warayera" lang="war" hreflang="war" data-title="0 (ihap)" data-language-autonym="Winaray" data-language-local-name="warayera" 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 – wolofera" lang="wo" hreflang="wo" data-title="Tus" data-language-autonym="Wolof" data-language-local-name="wolofera" 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 – wu txinera" lang="wuu" hreflang="wuu" data-title="0" data-language-autonym="吴语" data-language-local-name="wu txinera" 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 – kalmykera" lang="xal" hreflang="xal" data-title="0" data-language-autonym="Хальмг" data-language-local-name="kalmykera" 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 – xhosera" lang="xh" hreflang="xh" data-title="Iqanda" data-language-autonym="IsiXhosa" data-language-local-name="xhosera" 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 – Mingrelian" lang="xmf" hreflang="xmf" data-title="ნული" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" 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) – yiddisha" lang="yi" hreflang="yi" data-title="0 (נומער)" data-language-autonym="ייִדיש" data-language-local-name="yiddisha" 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) – jorubera" lang="yo" hreflang="yo" data-title="0 (nọ́mbà)" data-language-autonym="Yorùbá" data-language-local-name="jorubera" 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) – amazigera estandarra" lang="zgh" hreflang="zgh" data-title="0 (ⴰⵎⴹⴰⵏ)" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="amazigera estandarra" 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 – txinera" lang="zh" hreflang="zh" data-title="0" data-language-autonym="中文" data-language-local-name="txinera" 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 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="〇" data-language-autonym="文言" data-language-local-name="Literary Chinese" 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 – Minnan" lang="nan" hreflang="nan" data-title="0" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" 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 – kantonera" lang="yue" hreflang="yue" data-title="0" data-language-autonym="粵語" data-language-local-name="kantonera" 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) – zuluera" lang="zu" hreflang="zu" data-title="Iqanda(inombolo)" data-language-autonym="IsiZulu" data-language-local-name="zuluera" 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="Aldatu hizkuntzen arteko loturak" class="wbc-editpage">Aldatu loturak</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="Izen-tarteak"> <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="Eduki orrialdea ikusi [c]" accesskey="c"><span>Artikulua</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Eztabaida:Zero&action=edit&redlink=1" rel="discussion" class="new" title="Artikuluari buruzko eztabaida (sortu gabe) [t]" accesskey="t"><span>Eztabaida</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="Aldatu hizkuntza aldaera" > <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">euskara</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="Ikusketak"> <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>Irakurri</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Zero&veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Zero&action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Zero&action=history" title="Artikulu honen aurreko bertsioak. [h]" accesskey="h"><span>Ikusi historia</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tresnak" > <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">Tresnak</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">Tresnak</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ezkutatu</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Ekintzak </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>Irakurri</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Zero&veaction=edit" title="Orri hau aldatu [v]" accesskey="v"><span>Aldatu</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Zero&action=edit" title="Idatzi orri honen iturburu kodea [e]" accesskey="e"><span>Aldatu iturburu kodea</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>Ikusi historia</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Orokorra </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Berezi:ZerkLotzenDuHona/Zero" title="Orri honetaranzko esteka duten wiki orri guztien zerrenda [j]" accesskey="j"><span>Honanzko esteka duten orriak</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Berezi:RecentChangesLinked/Zero" rel="nofollow" title="Orri honetatik esteka duten orrietako azken aldaketak [k]" accesskey="k"><span>Lotutako orrietako aldaketak</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=eu" title="Irudiak edo media fitxategiak igo [u]" accesskey="u"><span>Fitxategia igo</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Berezi:OrrialdeBereziak" title="Orri berezi guztien zerrenda [q]" accesskey="q"><span>Orri bereziak</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Zero&oldid=9250409" title="Orriaren bertsio honetaranzko esteka iraunkorra"><span>Lotura iraunkorra</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Zero&action=info" title="Orrialde honi buruzko informazio gehiago"><span>Orri honen datuak</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Berezi:CiteThisPage&page=Zero&id=9250409&wpFormIdentifier=titleform" title="Orri honen aipua egiteko moduari buruzko informazioa"><span>Artikulu hau aipatu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Berezi:UrlShortener&url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FZero"><span>URL laburra lortu</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Berezi:QrCode&url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FZero"><span>QR kodea jaitsi</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"> Inprimatu/esportatu </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=Berezi:Book&bookcmd=book_creator&referer=Zero"><span>Liburu bat sortu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Berezi:DownloadAsPdf&page=Zero&action=show-download-screen"><span>Deskargatu PDF formatuan</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Zero&printable=yes" title="Orrialde honen bertsio inprimagarria [p]" accesskey="p"><span>Inprimatzeko bertsioa</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"> Beste proiektuetan </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>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q204" title="Datuen biltegi elementu batera lotuta [g]" accesskey="g"><span>Wikidata itema</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Itxura"> <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">Itxura</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ezkutatu</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">Wikipedia, Entziklopedia askea</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="eu" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r8986446">.mw-parser-output .noexcerpt{padding-top:10px}</style><div> <dl><dd><i>Artikulu hau zenbakiari buruzkoa da; beste esanahietarako, ikus «<a href="/wiki/Zero_(argipena)" class="mw-disambig" title="Zero (argipena)">Zero (argipena)</a>».</i></dd></dl></div> <table class="infobox" style="width:22em"><tbody><tr><th colspan="2" style="text-align:center;font-size:125%;font-weight:bold;background-color: #B4CDCD;">0</th></tr><tr><td colspan="2" class="infobox-full-data infobox-data" style="text-align:center"><div style="text-align:center;font-size:smaller;"> <a href="/w/index.php?title=-1_(zenbakia)&action=edit&redlink=1" class="new" title="-1 (zenbakia) (sortu gabe)">-1</a> <a href="/wiki/0_(zenbakia)" class="mw-redirect" title="0 (zenbakia)">0</a> <a href="/wiki/1_(zenbakia)" class="mw-redirect" title="1 (zenbakia)">1</a> <a href="/wiki/2_(zenbakia)" class="mw-redirect" title="2 (zenbakia)">2</a> <a href="/wiki/3_(zenbakia)" class="mw-redirect" title="3 (zenbakia)">3</a> <a href="/wiki/4_(zenbakia)" class="mw-redirect" title="4 (zenbakia)">4</a> <a href="/wiki/5_(zenbakia)" class="mw-redirect" title="5 (zenbakia)">5</a> <a href="/wiki/6_(zenbakia)" class="mw-redirect" title="6 (zenbakia)">6</a> <a href="/wiki/7_(zenbakia)" class="mw-redirect" title="7 (zenbakia)">7</a> <a href="/wiki/8_(zenbakia)" class="mw-redirect" title="8 (zenbakia)">8</a> <a href="/wiki/9_(zenbakia)" class="mw-redirect" title="9 (zenbakia)">9</a> <a href="/wiki/10_(zenbakia)" class="mw-redirect" title="10 (zenbakia)">→</a></div><div style="text-align:center;font-size:smaller;"> </div><div style="text-align:center;font-size:smaller;"><a href="/wiki/Zenbaki_negatibo" title="Zenbaki negatibo">←</a> <a href="/wiki/0" title="0">0</a> <a href="/wiki/10" title="10">10</a> <a href="/wiki/20_(zenbakia)" class="mw-redirect" title="20 (zenbakia)">20</a> <a href="/wiki/30_(zenbakia)" class="mw-redirect" title="30 (zenbakia)">30</a> <a href="/wiki/40_(zenbakia)" class="mw-redirect" title="40 (zenbakia)">40</a> <a href="/wiki/50_(zenbakia)" class="mw-redirect" title="50 (zenbakia)">50</a> <a href="/wiki/60_(zenbakia)" class="mw-redirect" title="60 (zenbakia)">60</a> <a href="/wiki/70_(zenbakia)" class="mw-redirect" title="70 (zenbakia)">70</a> <a href="/wiki/80_(zenbakia)" class="mw-redirect" title="80 (zenbakia)">80</a> <a href="/wiki/90_(zenbakia)" class="mw-redirect" title="90 (zenbakia)">90</a> <a href="/wiki/100_(zenbakia)" class="mw-redirect" title="100 (zenbakia)">→</a></div></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zenbaki_kardinal" title="Zenbaki kardinal">Kardinala</a></th><td class="infobox-data">0 <br /> zero; huts</td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zenbaki_ordinal" title="Zenbaki ordinal">Ordinala</a></th><td class="infobox-data">0. <br /> <a href="/w/index.php?title=Zerogarren&action=edit&redlink=1" class="new" title="Zerogarren (sortu gabe)">zerogarren</a></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zenbaki-sistema" title="Zenbaki-sistema">Zenbaki-sistema</a></th><td class="infobox-data"><i>Ez du</i></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Faktorizazio" title="Faktorizazio">Faktorizazioa</a></th><td class="infobox-data"><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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2aae8864a3c1fec9585261791a809ddec1489950" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 0}"></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zatitzaile" title="Zatitzaile">Zatitzailea</a>(k)</th><td class="infobox-data"><i>Ez du</i></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/w/index.php?title=Zenbaki-aurrizki&action=edit&redlink=1" class="new" title="Zenbaki-aurrizki (sortu gabe)">Aurrizkiak</a></th><td class="infobox-data"><i>Ez du</i></td></tr><tr><th colspan="2" class="infobox-header" style="text-align:center;background-color: #B4CDCD;">Beste sistema batzuetan</th></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Erromatar_zenbakera" title="Erromatar zenbakera">Erromatarra</a></th><td class="infobox-data"><span style="text-decoration:overline;"></span><span style="text-decoration:overline;"></span><span style="text-decoration:overline;"></span></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zenbaki-sistema_bitar" title="Zenbaki-sistema bitar">Bitarra</a></th><td class="infobox-data">0<sub>2</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/w/index.php?title=Zenbaki-sistema_hirutar&action=edit&redlink=1" class="new" title="Zenbaki-sistema hirutar (sortu gabe)">Hirutarra</a></th><td class="infobox-data">0<sub>3</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/w/index.php?title=Zenbaki-sistema_lautar&action=edit&redlink=1" class="new" title="Zenbaki-sistema lautar (sortu gabe)">Lautarra</a></th><td class="infobox-data">0<sub>4</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/w/index.php?title=Zenbaki-sistema_bostar&action=edit&redlink=1" class="new" title="Zenbaki-sistema bostar (sortu gabe)">Bostarra</a></th><td class="infobox-data">0<sub>5</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zenbaki-sistema_seitar" title="Zenbaki-sistema seitar">Seitarra</a></th><td class="infobox-data">0<sub>6</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zenbaki-sistema_zortzitar" title="Zenbaki-sistema zortzitar">Zortzitarra</a></th><td class="infobox-data">0<sub>8</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zenbaki-sistema_hamabitar" title="Zenbaki-sistema hamabitar">Hamabitarra</a></th><td class="infobox-data">0<sub>12</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zenbaki-sistema_hamaseitar" title="Zenbaki-sistema hamaseitar">Hamaseitarra</a></th><td class="infobox-data">0<sub>16</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/wiki/Zenbaki-sistema_hogeitar" title="Zenbaki-sistema hogeitar">Hogeitarra</a></th><td class="infobox-data">0<sub>20</sub></td></tr><tr><th scope="row" class="infobox-label" style="text-align:left"><a href="/w/index.php?title=Zenbaki-sistema_hogeitamaiseitar&action=edit&redlink=1" class="new" title="Zenbaki-sistema hogeitamaiseitar (sortu gabe)">Hogeitamaseitarra</a></th><td class="infobox-data">0<sub>36</sub></td></tr></tbody></table><p><b>Zeroa</b> (0) <a href="/wiki/Zenbaki_oso" title="Zenbaki oso">zenbaki oso</a> (ℤ) eta <a href="/wiki/Zenbaki_bikoiti" title="Zenbaki bikoiti">bikoitia</a> da. Balio nuluaren <a href="/wiki/Adierazpen_(matematika)" class="mw-redirect" title="Adierazpen (matematika)">adierazpena</a> da, zenbaki oso baten <a href="/wiki/Ezker" class="mw-redirect mw-disambig" title="Ezker">ezkerrean</a> jarrita eraginik ez duena, eta eskuinean <a href="/wiki/Hamar" title="Hamar">hamarrez</a> biderkatzen duena. </p><p>Zenbaki bezala erabiltzerakoan, ohiko eragiketa <a href="/wiki/Aljebra" title="Aljebra">aljebraikoak</a> egiteko erabil daiteke; hala nola, <a href="/wiki/Batuketa" title="Batuketa">batuketak</a>, <a href="/wiki/Kenketa" title="Kenketa">kenketak</a>, <a href="/wiki/Biderketa" title="Biderketa">biderketak</a>, besteak beste. Baina balio nuluaren adierazpena denez, zenbait indeterminaziotara eraman dezake. </p><p>Zenbaki osoen <a href="/wiki/Multzo" title="Multzo">multzo</a> ordenatuan -1 eta 1 elementuen artean dagoen <a href="/wiki/Elementuak" class="mw-redirect" title="Elementuak">elementua</a> da. <a href="/wiki/Matematika" title="Matematika">Matematikari</a> batzuk zenbaki arrunten (ℕ) multzoan sartzen dute, hau beste <a href="/wiki/Multzo" title="Multzo">multzoek</a> daukaten elementu <a href="/wiki/Kopuru" class="mw-redirect" title="Kopuru">kopurua</a> zenbatzeko balio duen multzo bezala definitzen baita, eta multzo hutsak zero <a href="/wiki/Elementu_klasikoak" title="Elementu klasikoak">elementu</a> ditu. Zero zenbakia edozein zenbakiri bere <a href="/wiki/Aurkako_(aljebra)" class="mw-redirect" title="Aurkako (aljebra)">aurkakoa</a> batuz adierazi daiteke: X+ (-X) = 0. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Historia">Historia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=1" title="Aldatu atal hau: «Historia»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=1" title="Edit section's source code: Historia"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div><p> Antzinateko zenbait <a href="/wiki/Zibilizazio" title="Zibilizazio">zibilizazio</a> garrantzitsuk, hala nola, <a href="/wiki/Egipto" title="Egipto">Egiptokoak</a>, <a href="/wiki/Babilonia_(hiria)" title="Babilonia (hiria)">Babiloniakoak</a>, <a href="/wiki/Grezia" title="Grezia">Greziakoak</a>, <a href="/wiki/Maien_zibilizazioa" title="Maien zibilizazioa">Maiak</a>... zeroaren balioa errepresentatzen dituzten <a href="/wiki/Ikur" title="Ikur">sinboloak</a> zituzten <a href="/wiki/Dokumentu" title="Dokumentu">dokumentu</a> matematiko edota <a href="/wiki/Astronomia" title="Astronomia">astronomikoetan</a>. Baina haien <a href="/wiki/Zenbaki-sistema" title="Zenbaki-sistema">zenbaki sistemen</a> berezitasun batzuengatik, ez zuten zenbakiak zeukan potentzial osoa probestu.</p><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Ogitarteko_tarteko_barik.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/Ogitarteko_tarteko_barik.png/220px-Ogitarteko_tarteko_barik.png" decoding="async" width="220" height="109" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/be/Ogitarteko_tarteko_barik.png/330px-Ogitarteko_tarteko_barik.png 1.5x, //upload.wikimedia.org/wikipedia/commons/b/be/Ogitarteko_tarteko_barik.png 2x" data-file-width="440" data-file-height="218" /></a><figcaption>Maien Glifoa zeroa irudikatzeko, K.a 36</figcaption></figure><p> Egiptoar zenbaki sisteman ondoko sinboloa</p><table class="mw-hiero-table mw-hiero-outer" dir="ltr"><tbody><tr><td> <table class="mw-hiero-table"><tbody><tr> <td><img class="skin-invert" style="margin: 1px;" src="/w/extensions/wikihiero/img/hiero_F35.png?9f378" height="38" title="F35 [nfr]" alt="nfr" /></td></tr></tbody></table> </td></tr></tbody></table><p>erabili zen zeroa irudikatzeko ( Papiro Boulaq 18-an, K.a. 1700 urtean). </p><p>Babilonian, lehenengo zeroak K.a. 2000 urtean agertu ziren <a href="/wiki/Buztin" title="Buztin">buztin</a> oholtxoetan, hauek <a href="/wiki/Idazkera_kuneiforme" title="Idazkera kuneiforme">idazkera</a> <a href="/wiki/Idazkera_kuneiforme" title="Idazkera kuneiforme">kuneiformea</a> erabiltzen baitzuten, egosi gabeko buztinean idatziz. Gainera, <a href="/wiki/Urte" title="Urte">urteetan</a> zehar, zeroa irudikatzeko erabiltzen zuten sinboloa aldatuz joan zen. </p><p><a href="/wiki/K.a._400" title="K.a. 400">K.a. 400</a> urte inguru, Babiloniarrak <i>bi falka</i> edo <i>ziri</i> zeinua ipintzen hasi ziren gure sisteman zero bat idatziko genukeen lekuetan, eta «bat baino gehiago» irakurtzen zen. Bi zinu horiek ez ziren izan zeroaren posizioak erakusteko modu bakarra; <a href="/wiki/K.a._VII._mendea" title="K.a. VII. mendea">K.a. 700</a>. urtean datatutako taulatxo batean, <a href="/w/index.php?title=Kish-en&action=edit&redlink=1" class="new" title="Kish-en (sortu gabe)">Kish-en</a> <a href="/wiki/Babilonia_(hiria)" title="Babilonia (hiria)">Babiloniatik</a> ekialdera zegoen <a href="/wiki/Mesopotamia" title="Mesopotamia">Mesopotamia</a> hiri zaharrean aurkitutakoa, <i>hiru falkako</i> zeinua aurkitu zuten. Beste taulatxo batzuetan, berriz, <i>falka bakarra</i> erabili zuten, eta, kasu batzuetan, zeinuaren deformazioa zeroaren antzekoa da. </p><p><a href="/wiki/Ertamerika" class="mw-redirect" title="Ertamerika">Erdialdeko Amerikari</a> dagokionez, <a href="/wiki/Kristau" title="Kristau">kristauak</a> heldu baino lehen, maiek zeroaren erabilera zabaldu zuten. </p><p>Lehen erabilera dokumentatua, zero zenbakia erakusten duena, K.a. 36. urteari dagokio, maien zenbakiak erabiliz. <a href="/wiki/Posizio" class="mw-redirect" title="Posizio">Posizio-notazioaren</a> hirugarren lekuan gertatutako irregulartasunagatik, aukera operatiboak kendu zitzaizkien. </p><p><a href="/wiki/Klaudio_Ptolomeo" title="Klaudio Ptolomeo">Claudio Ptolomeo-k</a> <i>Almagesto</i> liburuan, <a href="/wiki/K.a._130" title="K.a. 130">K.o. 130</a>. urtean idatzia, <i>hutsaren</i> edo <i>zero</i>aren balioa erabiltzen zuen. Ptolomeo-k zeroaren sinboloa digituen artean edo zenbakiaren amaieran erabiltzen zuen. Pentsa liteke zeroa orduan errotu zela, baina kontua da Ptolomeok ez zuela sinboloa <i>zenbaki</i> gisa erabiltzen, baizik eta oharpen-zeinu gisa. Erabilera hori ez zen zabaldu, oso gutxik hartu baitzuten. </p><p>Erromatarrek ez zuten zeroa erabili. Haien <a href="/wiki/Zenbaki" title="Zenbaki">zenbakiak</a> beren alfabetoko letrak ziren; zifrak adierazteko I, V, X, L, C, D, M erabiltzen zituzten, multzokatuz. 4.000 edo balio handiagoak zituzten zenbakietarako, lerro horizontal bat marrazten zuten <i>zenbakiaren</i> gainean, balioa 1.000rekin biderkatzen zela adierazteko. </p> <div class="mw-heading mw-heading3"><h3 id="Zero_posizionala">Zero posizionala</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=2" title="Aldatu atal hau: «Zero posizionala»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=2" title="Edit section's source code: Zero posizionala"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Indiako zibilizazioa <a href="/wiki/Kokapen-notazio" title="Kokapen-notazio">kokapen-notazioaren</a> sorlekua da, eta ia mundu osoan erabiltzen da XXI. mendean. Baliteke <a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a> (VI. mendea) matematikari indiarra izatea <i>zero</i> kontzeptuari buruz teorizatu zuen lehena, ez bakarrik kopuru nulu baten definizio gisa, baizik eta zenbaki negatibo eta positiboetarako batuketa posible gisa ere. <i>Zero indiarraren</i> erabileraren lehen lekukotza 683. urtekoa da: <a href="/wiki/Angkor_Wat" title="Angkor Wat">Angkor Waten</a> inskripzio kanbodiar bat, harrian zizelkatua, <i>605</i> zenbakia duena<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>. Beste erabilera-proba batzuk 810. urtearen ingurukoak dira. <a href="/wiki/Gwalior_barrutia" title="Gwalior barrutia">Gwaliorren</a> inskripzioak 875-876.ean datatuak dira<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>. <a href="/wiki/Al-Khwarizmi" title="Al-Khwarizmi">Abu Ja 'far Mujammad ibn Musak</a> (Al-khwarizmi), <i>Indioen kalkuluaren bidez gehitzearen eta lapurtzearen tratatua</i> izeneko bere lanean, <a href="/wiki/Kokapen-notazio" title="Kokapen-notazio">posizio</a>-zenbaketa hamartarraren printzipioa azaltzen du, zifren jatorri indiarra adieraziz. Forma biribildua duen hamargarren irudia <i>zero</i> da<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>. </p><p>Arabiarrek <a href="/wiki/Magreb" title="Magreb">Magrebetik</a> eta <a href="/wiki/Al-Andalus" title="Al-Andalus">Al-Ándalusetik</a> transmititu zuten, ondoren Europa osora pasatuz. Indiar zifrak erakusten dituzten lehen eskuizkribuak (orduan <i>arabiarrak</i>) Espainiako iparraldetik datoz, eta X. mendekoak dira: <i><a href="/wiki/Albeldako_Kronika" title="Albeldako Kronika">Codex Vigilanus</a></i> eta <i><a href="/wiki/Donemiliagako_glosak" title="Donemiliagako glosak">Codex Aemilianensis</a></i>. Zero ez da testuetan agertzen, kalkuluak <a href="/wiki/Abako" title="Abako">abakoarekin</a> egiten baitziren, eta, itxuraz, ez zen beharrezkoa erabiltzea. </p><p>Zeroaren lehen erabilerak Frantziari edo <a href="/wiki/Silvestre_II.a" title="Silvestre II.a">Silvestre II.a</a> aita santu eztabaidatuari egozten bazaizkio ere, 1000. urte inguruan, erreferentzia gehienek adierazten dute zeroa (zefhirum izenekoa) <a href="/wiki/Leonardo_Pisano" title="Leonardo Pisano">Fibonacci</a> matematikari italiarrak sartu zuela Europan XII. mendean, aljebra arabiarra erakutsiz bere <i>Liber abaci</i> (Abakoaren liburua) lanean, nahiz eta sistema berriaren erraztasunagatik, eliz agintariek magikotzat edo deabruarena jo zuten<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>. </p><p><a href="/wiki/Eliza_(argipena)" class="mw-disambig" title="Eliza (argipena)">Eliza</a> eta kalkulatzaile profesionalen kasta —gehienak, abakoa erabiltzen zuten elizgizonak— aurrez aurre kontrajarri ziren aljebra berriari betoa jarriz, toki batzuetan gehienak XV..mendea arte<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>. </p> <div class="mw-heading mw-heading2"><h2 id="Zeroaren_irudikapenak">Zeroaren irudikapenak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=3" title="Aldatu atal hau: «Zeroaren irudikapenak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=3" title="Edit section's source code: Zeroaren irudikapenak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Zeroa «0» zifrarekin irudikatzen da <a href="/wiki/Mendebalde" title="Mendebalde">mendebalde</a>ko testuetan. <a href="/wiki/XX._mendea" title="XX. mendea">XX. mende</a>tik aurrera, eta bereziki <a href="/wiki/Informatika" title="Informatika">informatik</a>aren <a href="/wiki/Garapena" class="mw-redirect mw-disambig" title="Garapena">garapena</a>rekin, <a href="/wiki/Ohitura_(argipena)" class="mw-disambig" title="Ohitura (argipena)">ohiko</a>a da zeinu hori barra <a href="/wiki/Diagonal_(geometria)" title="Diagonal (geometria)">diagonal</a> baten bidez (/) ebakita agertzea, <a href="/wiki/Notazio_zientifiko" title="Notazio zientifiko">notazio</a> berri horrek «o» letrarekin nahastea saihesten baitzuen. </p><p> Duela gutxi arte, «o» hautakaritzako juntagailuak «ó» ikurra izan behar zuen <a href="/wiki/Zifra" title="Zifra">zifra</a> artean idatzita zegoenean, 0 zenbaki-zeinuarekin ez nahasteko. Gaur egun, arau hori ez dago indarrean.</p><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Spherical_Coordinates_(Colatitude,_Longitude)_(b).svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/60/Spherical_Coordinates_%28Colatitude%2C_Longitude%29_%28b%29.svg/220px-Spherical_Coordinates_%28Colatitude%2C_Longitude%29_%28b%29.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/60/Spherical_Coordinates_%28Colatitude%2C_Longitude%29_%28b%29.svg/330px-Spherical_Coordinates_%28Colatitude%2C_Longitude%29_%28b%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/60/Spherical_Coordinates_%28Colatitude%2C_Longitude%29_%28b%29.svg/440px-Spherical_Coordinates_%28Colatitude%2C_Longitude%29_%28b%29.svg.png 2x" data-file-width="360" data-file-height="360" /></a><figcaption>Koordenatu jatorria, 0 (zero) balioarekin lotzen dena.</figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Zero_balioaren_irudikapen_grafikoa">Zero balioaren irudikapen grafikoa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=4" title="Aldatu atal hau: «Zero balioaren irudikapen grafikoa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=4" title="Edit section's source code: Zero balioaren irudikapen grafikoa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Kartesiar_koordenatu" class="mw-redirect" title="Kartesiar koordenatu">Koordenatu kartesiarreta</a>n, <a href="/wiki/Koordenatuen_jatorri" class="mw-redirect" title="Koordenatuen jatorri">koordenatuen jatorri</a>a 0 (zero) balioarekin lotzen da. </p> <div class="mw-heading mw-heading2"><h2 id="Zero_eta_zenbaki_arruntak">Zero eta zenbaki arruntak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=5" title="Aldatu atal hau: «Zero eta zenbaki arruntak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=5" title="Edit section's source code: Zero eta zenbaki arruntak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Zero, zenbakizko kontzeptu berezia izateagatik, ez zen <a href="/wiki/Zenbaki_arrunt" title="Zenbaki arrunt">zenbaki naturale</a>n multzoan sartzen hitzarmen bidez.  ℕ0, gisa irudikatzen zen, zenbaki arrunten multzoari zeroa barne zegoenean; horregatik, <a href="/wiki/Liburu" title="Liburu">liburu</a> asko aurki daitezke, non egileek zero zenbaki naturaltzat hartzen ez duten. Izan ere, oraindik ez dago adostasunik horri buruz. </p><p>Matematikari batzuek nahiago dute zenbaki natural bezala tratatzea, horregatik dago desadostasuna. </p> <div class="mw-heading mw-heading2"><h2 id="Matematika">Matematika</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=6" title="Aldatu atal hau: «Matematika»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=6" title="Edit section's source code: Matematika"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Eragiketa_matematikoak_zeroarekin">Eragiketa matematikoak zeroarekin</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=7" title="Aldatu atal hau: «Eragiketa matematikoak zeroarekin»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=7" title="Edit section's source code: Eragiketa matematikoak zeroarekin"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading4"><h4 id="Zeroa_batuketan">Zeroa batuketan</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=8" title="Aldatu atal hau: «Zeroa batuketan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=8" title="Edit section's source code: Zeroa batuketan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Batuketa" title="Batuketa">Batuketan</a>, zeroa <a href="/wiki/Elementu_neutro" title="Elementu neutro">elementu neutroa</a> da; hau da, edozein a zenbakiri zeroa batuz berriz a zenbakia lortuko dugu. Adibidez, 25 + 0 = 25. </p> <div class="mw-heading mw-heading4"><h4 id="Zeroa_kenketan">Zeroa kenketan</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=9" title="Aldatu atal hau: «Zeroa kenketan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=9" title="Edit section's source code: Zeroa kenketan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Kenketa" title="Kenketa">Kenketan</a>, zeroa elementu neutroa da; halaber, edozein a zenbakiri zeroa kenduz berriz a lortuko dugu, salbuespen bat izan ezik, zeroa kenduran lehenengo gaia denean, orduan -a lortuko dugu. </p> <div class="mw-heading mw-heading4"><h4 id="Zeroa_biderketan">Zeroa biderketan</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=10" title="Aldatu atal hau: «Zeroa biderketan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=10" title="Edit section's source code: Zeroa biderketan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Biderketa" title="Biderketa">Biderketan</a>, edozein zenbakiri zero biderkatzen badiogu zeroa lortuko dugu. Adibidez, </p><p>25 x 0 = 0. </p> <div class="mw-heading mw-heading4"><h4 id="Zeroa_zatiketan">Zeroa zatiketan</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=11" title="Aldatu atal hau: «Zeroa zatiketan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=11" title="Edit section's source code: Zeroa zatiketan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div><p> Zeroa beste zenbaki batzuengatik zatitua izan daiteke, kasu honetan <a href="/wiki/Zatiketa_(matematika)" title="Zatiketa (matematika)">zatiketa</a> horren emaitza zero bera izango da.</p><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Basic_arithmetic_operators.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Basic_arithmetic_operators.svg/220px-Basic_arithmetic_operators.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Basic_arithmetic_operators.svg/330px-Basic_arithmetic_operators.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/12/Basic_arithmetic_operators.svg/440px-Basic_arithmetic_operators.svg.png 2x" data-file-width="100" data-file-height="100" /></a><figcaption>Eragiketa matematikoak</figcaption></figure> <div class="mw-heading mw-heading4"><h4 id="Zerogatik_zatiketa_zenbaki_errealetan">Zerogatik zatiketa zenbaki errealetan</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=12" title="Aldatu atal hau: «Zerogatik zatiketa zenbaki errealetan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=12" title="Edit section's source code: Zerogatik zatiketa zenbaki errealetan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Zenbaki_erreal" title="Zenbaki erreal">Zenbaki erreal</a>etan (baita <a href="/wiki/Zenbaki_konplexu" title="Zenbaki konplexu">konplexuetan</a>) zerogatik zatiketa indeterminazio bat da; horrela, hurrengo adierazpenak ez dute zentzurik: </p><p>8/0; 0/0 </p><p>Hau <a href="/wiki/Intuizio" title="Intuizio">intuitibo</a>ki azal genezake, ez du '<a href="/wiki/Zentzumen-sistema" title="Zentzumen-sistema">zentzu</a>rik' 8 <a href="/wiki/Sagar" title="Sagar">saga</a>r gela huts batean banatzeak. Ezta 0 <a href="/wiki/Billete" class="mw-redirect" title="Billete">billete</a> zero <a href="/wiki/Pertsona_fisiko" title="Pertsona fisiko">pertsona</a> artean banatzeak. </p><p>Matematikoki, zeroa da zatitu ezin duen zenbaki bakarra. Horregatik, zeroa da <a href="/wiki/Zenbaki_erreal" title="Zenbaki erreal">zenbaki erreal</a> bakarra <a href="/wiki/Alderantzizko_zenbaki" title="Alderantzizko zenbaki">alderantzizko</a>rik ez duena biderketarekiko. </p> <div class="mw-heading mw-heading4"><h4 id="Zeroa_limiteen_zatiketetan">Zeroa limiteen zatiketetan</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=13" title="Aldatu atal hau: «Zeroa limiteen zatiketetan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=13" title="Edit section's source code: Zeroa limiteen zatiketetan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Analisi_matematiko" title="Analisi matematiko">Analisi matematikoan</a> <a href="/wiki/Limite" title="Limite">limite</a> mota desberdinen definizioak existitzen dira. Adibidez: </p><p><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 _{t\to \ 0}{t^{2} \over t}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo movablelimits="true" form="prefix">lim</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> <mo stretchy="false">→</mo> <mtext> </mtext> <mn>0</mn> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>t</mi> </mfrac> </mrow> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lim _{t\to \ 0}{t^{2} \over t}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b6d4a4d92cdc16e4f4acb1bce4e7d32075b6b8d6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:11.017ex; height:5.843ex;" alt="{\displaystyle \lim _{t\to \ 0}{t^{2} \over t}=0}"></span> </p><p><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 _{t\to \ 0}{t \over t}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo movablelimits="true" form="prefix">lim</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> <mo stretchy="false">→</mo> <mtext> </mtext> <mn>0</mn> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>t</mi> <mi>t</mi> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lim _{t\to \ 0}{t \over t}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e6a3450cdffc651a2c991fb82a47d371d736a7a3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:9.963ex; height:5.343ex;" alt="{\displaystyle \lim _{t\to \ 0}{t \over t}=1}"></span> </p><p><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 _{t\to \ 0}{t \over t^{2}}=\infty }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo movablelimits="true" form="prefix">lim</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> <mo stretchy="false">→</mo> <mtext> </mtext> <mn>0</mn> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>t</mi> <msup> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mi mathvariant="normal">∞</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lim _{t\to \ 0}{t \over t^{2}}=\infty }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/809f37ce74dc5dcb92a98e29a88e6eedfa40c703" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:12.179ex; height:5.509ex;" alt="{\displaystyle \lim _{t\to \ 0}{t \over t^{2}}=\infty }"></span> </p><p>Hala ere, <a href="/wiki/Zenbakitzailea" class="mw-redirect" title="Zenbakitzailea">zenbakitzaile</a> eta <a href="/wiki/Izendatzailea" class="mw-redirect" title="Izendatzailea">izendatzaile</a> bakoitza bere aldetik aztertzen baditugu, guztien <a href="/wiki/Limitearen_teorema_zentral" title="Limitearen teorema zentral">limitea</a> zero da. Horregatik esaten da </p><p><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}}"> <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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0^{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/106f0c4e1cbccbfcbb61001a8c17b8427c65366d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.217ex; height:2.676ex;" alt="{\displaystyle 0^{0}}"></span> indeterminatua dela, emaitza desberdin ugari lor daitezkeelako. </p> <div class="mw-heading mw-heading4"><h4 id="Zeroa_berreketan">Zeroa berreketan</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=14" title="Aldatu atal hau: «Zeroa berreketan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=14" title="Edit section's source code: Zeroa berreketan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>a ≠ 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 a^{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/83a894726dd8a070c22ea9b3b52e93b3840b7c41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.284ex; height:2.676ex;" alt="{\displaystyle a^{0}}"></span>= 1</li> <li>n > 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 0^{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>0</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0^{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b2b9867fedd2c5163b552b48d7758cf95926aae3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.381ex; height:2.343ex;" alt="{\displaystyle 0^{n}}"></span> = 0</li></ul> <p><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}}"> <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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0^{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/106f0c4e1cbccbfcbb61001a8c17b8427c65366d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.217ex; height:2.676ex;" alt="{\displaystyle 0^{0}}"></span> ez dago <a href="/wiki/Berreketa" title="Berreketa">berreketa</a> bezala definituta, baina testuinguruaren arabera 0 edo 1 har daiteke emaitza bezala. </p> <div class="mw-heading mw-heading2"><h2 id="Matematiketako_beste_atal_batzuk">Matematiketako beste atal batzuk</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=15" title="Aldatu atal hau: «Matematiketako beste atal batzuk»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=15" title="Edit section's source code: Matematiketako beste atal batzuk"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Multzo-teoria" title="Multzo-teoria">Multzo teorian</a>, zeroa <a href="/wiki/Multzo_huts" title="Multzo huts">multzo hutsaren</a> <a href="/wiki/Kardinalitate" title="Kardinalitate">kardinala</a> da. Izan ere, multzo teoriako garapen <a href="/wiki/Axioma" title="Axioma">axioma</a>tiko batzuetan, 0 multzo hutsa bezala definituta dago. Hau horrela denean, multzo <a href="/wiki/Huts_(fisika)" title="Huts (fisika)">hutsa</a> elementurik ez duten multzoentzako <a href="/wiki/Von_Neumannen_arkitektura" title="Von Neumannen arkitektura">von Neumann</a> kardinal esleipena da. Multzo hutsari kardinalitate funtzioa aplikatzen badiogu, multzo hutsa bera itzuliko digu balio bezala, modu honetan 0 elementu esleituz.</li> <li>Multzo teorian halaber, 0 <a href="/wiki/Zenbaki_ordinal" title="Zenbaki ordinal">zenbaki ordinal</a> txikiena da, multzo hutsa ondo ordenatutako multzo bezala kontsideratuz.</li> <li><a href="/wiki/Logika_proposizional" title="Logika proposizional">Logika proposizionalean</a>, 0 false egiazko balioa denotatzeko erabil daiteke.</li> <li><a href="/wiki/Aljebra_abstraktu" title="Aljebra abstraktu">Aljebra abstraktuan</a>, zero elementua denotatzeko erabiltzen da, batuketarekiko elementu neutroa baita eta biderketarekiko elementu xurgatzailea.</li> <li>Kategoria teorian, kategoria baten hasierako <a href="/wiki/Objektu" title="Objektu">objektu</a> bezala definitzen da zeroa batzuetan.</li></ul> <p><a href="/wiki/Konputagarritasunaren_teoria" title="Konputagarritasunaren teoria">Errekutsio teorian</a>, zeroa funtzio konputagarri partzialentzako Turing-en maila bezala defini daiteke. </p> <div class="mw-heading mw-heading2"><h2 id="Erlazionatutako_termino_matematikoak">Erlazionatutako termino matematikoak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=16" title="Aldatu atal hau: «Erlazionatutako termino matematikoak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=16" title="Edit section's source code: Erlazionatutako termino matematikoak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>f <a href="/wiki/Funtzio_(matematika)" title="Funtzio (matematika)">funtzio</a> baten zeroa, eremuko x <a href="/wiki/Puntu" class="mw-redirect mw-disambig" title="Puntu">puntu</a> bati deitzen zaio non f(x) = 0 den. Zero <a href="/wiki/Kopuru" class="mw-redirect" title="Kopuru">kopuru</a> finitua dagoenean, hauek funtzioaren erroak direla diogu. Funtzio holomorfoen zeroekin erlazionatuta dago.</li> <li>D eremuko zero funtzioa, irteera balio posible bakarra 0 duen <a href="/wiki/Funtzio_konstante" title="Funtzio konstante">funtzio konstante</a>a da; hau da, f(x) = 0 betetzen duena D-n dagoen edozein x-rentzat.</li> <li>Matematiketako atal askok erabiltzen dute zero elementua, 0 + x = x  edo 0 x = 0 propietatea orokortzen dutenak.</li></ul> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Temperature_Scales.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Temperature_Scales.png/220px-Temperature_Scales.png" decoding="async" width="220" height="143" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Temperature_Scales.png/330px-Temperature_Scales.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Temperature_Scales.png/440px-Temperature_Scales.png 2x" data-file-width="913" data-file-height="592" /></a><figcaption>Tenperatura</figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="Fisika">Fisika</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=17" title="Aldatu atal hau: «Fisika»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=17" title="Edit section's source code: Fisika"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Zero balioak zeregin berezia du fisikako hainbat arlotan. Arlo batzuetan, zero maila gainerako mailetatik bereizten da, eta beste batzuentzat, berriz, zoriz aukeratzen da. </p><p>Adibidez, <a href="/wiki/Tenperatura" title="Tenperatura">tenperatura</a> absoluturako (<a href="/wiki/Kelvin_(unitatea)" title="Kelvin (unitatea)">kelvinetan</a> neurtua), zero da balio baxuena (tenperatura negatiboak definitzen dira, baina tenperatura negatiboko sistemak ez dira <a href="/wiki/Hotz" title="Hotz">hotza</a>goak berez). Hori, adibidez, <a href="/wiki/Celsius_gradu" title="Celsius gradu">Celsius</a> eskalako tenperaturekin alderatzen da, non zeroa <a href="/wiki/Ur" title="Ur">uraren</a> <a href="/wiki/Izozte-puntu" title="Izozte-puntu">izozte-puntua</a> moduan definitzen den modu arbitrarioan. </p> <p><a href="/wiki/Soinu_intentsitate" title="Soinu intentsitate">Soinu-intentsitatea</a> <a href="/wiki/Dezibel" title="Dezibel">dezibeletan</a> edo faloietan neurtzeko, zero maila erreferentziazko balio batean ezartzen da arbitrarioki, adibidez, <a href="/wiki/Entzumen" title="Entzumen">entzumeneko</a>  balio batean. Fisikan, zero puntuko <a href="/wiki/Energia" title="Energia">energia</a>, sistema <a href="/wiki/Fisika_kuantiko" class="mw-redirect" title="Fisika kuantiko">fisiko kuantiko</a> mekaniko batek izan dezakeen energiarik txikiena da, eta <a href="/wiki/Lurra" title="Lurra">lurreko</a> sistemaren energia da.</p><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Rutherford_atomic_planetary_model.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Rutherford_atomic_planetary_model.svg/220px-Rutherford_atomic_planetary_model.svg.png" decoding="async" width="220" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Rutherford_atomic_planetary_model.svg/330px-Rutherford_atomic_planetary_model.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e8/Rutherford_atomic_planetary_model.svg/440px-Rutherford_atomic_planetary_model.svg.png 2x" data-file-width="500" data-file-height="500" /></a><figcaption>Atomoa</figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="Kimika">Kimika</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=18" title="Aldatu atal hau: «Kimika»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=18" title="Edit section's source code: Kimika"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Zeroa proposatua izan da tetraneutronaren zenbaki atomiko bezala. Frogatu da, lau <a href="/wiki/Neutroi-izar" title="Neutroi-izar">neutroie</a>z osatutako talde bat, nahiko egonkorra izan ahal dela <a href="/wiki/Atomo" title="Atomo">atomo</a> bezala konsideratzeko. Eta, honek, <a href="/wiki/Protoi" title="Protoi">protoirik</a> eta bere <a href="/wiki/Nukleo_(geologia)" title="Nukleo (geologia)">nukleoan</a> <a href="/wiki/Karga_elektriko" title="Karga elektriko">kargarik</a> gabeko <a href="/wiki/Elementu_neutro" title="Elementu neutro">elementu</a> bat sortuko du. </p> <div class="mw-heading mw-heading2"><h2 id="Konputazioaren_zientzia">Konputazioaren zientzia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=19" title="Aldatu atal hau: «Konputazioaren zientzia»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=19" title="Edit section's source code: Konputazioaren zientzia"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Gizarte" title="Gizarte">Gizartea</a>ren historian zehar, arrunta izan da beti bat zenbakitik hastea zenbatzen eta horrela da ere bai <a href="/wiki/FORTRAN" title="FORTRAN">Fortran</a> eta <a href="/wiki/COBOL" title="COBOL">COBOL</a> bezalako <a href="/wiki/Programazio-lengoaia" title="Programazio-lengoaia">programazio informatikoko</a> hizkuntza klasiko goiztiarretan. Hala ere, 1950-eko hamarkadan <a href="/wiki/Lisp" title="Lisp">LISP</a>-ek zeroan oinarritutako hizkuntza matematikoa ezarri zuen matrizeetarako eta aldiz Algol 58-ak <a href="/wiki/Hizkuntza" title="Hizkuntza">hizkuntza</a> matematiko guztiz malgua ezarri zuen matrizeen azpiindizeetarako ( edozein zenbaki oso positibo, negatibo edo zero ahalbidetzen zituen matrizeen azpiindizeen oinarri gisa) eta <a href="/wiki/Berandutze" title="Berandutze">berandu</a>ago heldu ziren beste <a href="/wiki/Programazio_hizkuntza" class="mw-redirect" title="Programazio hizkuntza">programazio-hizkuntza</a> gehienak hauetariko baten oinarritu ziren. </p><p>Adibidez, matrize baten elementuak 0-tik hasita zenbakitzen dira C-n, beraz, matrize batek n elementu baditu, azpiindizeak 0-tik n-1-era doaz. </p><p>0 eta 1 oinarrietan oinarritutako <a href="/wiki/Indexazio" title="Indexazio">indexazioa</a> nahas daiteke , adibidez <a href="/wiki/JavaScript" title="JavaScript">Javako</a> JDBC-an <a href="/wiki/Indize" title="Indize">indizeen</a> <a href="/wiki/Parametro_(estatistika)" title="Parametro (estatistika)">parametroak</a> 1-etik hasten dira nahiz eta Javak 0-n oinarritutako <a href="/wiki/Indexazio" title="Indexazio">indexazioa</a> erabiltzen duen. Gerta daiteke, <a href="/wiki/Datu-base" title="Datu-base">datubaseetan</a> eremuren batek baliorik ez izatea, horri balio nulua deritzo. Zenbakizko eremuetan ordea, ez dago zero balioa. Balio nuluak egoteak, hiru balioen <a href="/wiki/Logika" title="Logika">logika</a>ra eramaten gaitu. </p> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Geany-example_C%2B%2B_program_with_output.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Geany-example_C%2B%2B_program_with_output.png/278px-Geany-example_C%2B%2B_program_with_output.png" decoding="async" width="278" height="140" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Geany-example_C%2B%2B_program_with_output.png/417px-Geany-example_C%2B%2B_program_with_output.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/33/Geany-example_C%2B%2B_program_with_output.png/556px-Geany-example_C%2B%2B_program_with_output.png 2x" data-file-width="1361" data-file-height="687" /></a><figcaption>Programazio lengoaia C-n adibidea.</figcaption></figure> <p>Jada, ez da <a href="/wiki/Egia" title="Egia">egia</a> edo <a href="/wiki/Gezur" title="Gezur">gezurra</a> den baldintza, zehaztugabea izan daiteke. </p><p>Balio nulua duen edozein <a href="/wiki/Kalkulu_(matematikaren_adarra)" title="Kalkulu (matematikaren adarra)">kalkulu</a>k zeroa bueltatzen du. </p><p>Adierazle nulua, <a href="/wiki/Objektu" title="Objektu">objektu</a> edo funtziorik errepresentatzen ez duen <a href="/wiki/Programa_informatiko" title="Programa informatiko">programa</a> bateko adierazlea da. <a href="/wiki/C_(programazio_lengoaia)" title="C (programazio lengoaia)"><i>C</i></a>-n, 0 <a href="/wiki/Konstante_(matematika)" title="Konstante (matematika)">konstante</a> osoa adierazle nulu bihurtzen da. </p><p>Matematiketan,-0 eta +0, biek zenbaki bera adierazten dute, hau da, ez da <a href="/wiki/Existentzialismo" title="Existentzialismo">existitzen</a> zeroren <a href="/wiki/Desberdintza" title="Desberdintza">desberdina</a> den "zero positibo"-rik ez "zero negatibo"-rik. Hala ere, <a href="/wiki/Ordenagailu" title="Ordenagailu">ordenagailu</a> <a href="/wiki/Hardware" title="Hardware">hardware</a> batzuetan zeroak bi adierazpide ditu, positibo bat zenbaki positiboekin sailkatua eta negatibo bat zenbaki negatiboekin sailkatua; mota honetako adierazpide bikoitza zeinudun zero bezala ezagutzen da. Errepresentazio honek zeinudun <a href="/wiki/Magnitudea" class="mw-redirect mw-disambig" title="Magnitudea">magnitudea</a> eta baten konplementu <a href="/wiki/Zenbaki-sistema_bitar" title="Zenbaki-sistema bitar">bitar</a> osoa barneratzen ditu, eta puntu flotanteko zenbaki errepresentazio gehienak. </p><p>Bitarrean, 0-ak "itzalita" balioa adierazten du, non horrek <a href="/wiki/Elektrizitate" title="Elektrizitate">elektrizitate</a> <a href="/wiki/Fluxu_magnetiko" title="Fluxu magnetiko">fluxurik</a> ez dagoela adierazten duen. </p><p>Baita, <a href="/wiki/Lengoaia_informatiko" title="Lengoaia informatiko">programazio lengoaia</a> askotan zeroa <i>false</i> balioa da. </p><p><a href="/wiki/Unix_denbora" title="Unix denbora">Unix denbora</a> 1970eko urtarrilaren 1eko <a href="/wiki/Gauerdi" title="Gauerdi">gauerdi</a>tik aurrera hasten da. </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Zirkulua.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Zirkulua.gif/220px-Zirkulua.gif" decoding="async" width="220" height="156" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Zirkulua.gif/330px-Zirkulua.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/4/4f/Zirkulua.gif 2x" data-file-width="400" data-file-height="283" /></a><figcaption>0 zenbakizko digitua <a href="/wiki/Zirkulu" title="Zirkulu">zirkulu</a> bezala idazten da</figcaption></figure> <p><a href="/wiki/API" title="API">API</a> eta <a href="/wiki/Sistema_eragile" title="Sistema eragile">sistema eragile</a> askok zeroa erabiltzen dute balio oso bat itzultzeko emaitz bezala, eta zero ez diren beste balioak <a href="/wiki/Errore_funtzio" title="Errore funtzio">errore</a> <a href="/wiki/Espezifikazio_formala_(informatika)" title="Espezifikazio formala (informatika)">espezifiko</a> bat edo <a href="/wiki/Alarma-egoera" title="Alarma-egoera">alarma egoera</a> adierazteko. </p><p>Programaitzaleek sarritan <a href="/wiki/Marratxo" title="Marratxo">marratxodun</a> zeroa erabiltzen dute "o" <a href="/wiki/Letra" title="Letra">letra</a>rekin ez nahasteko. </p> <div class="mw-heading mw-heading2"><h2 id="Sinboloa">Sinboloa</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=20" title="Aldatu atal hau: «Sinboloa»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=20" title="Edit section's source code: Sinboloa"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div><p> 0 zenbakizko digitua <a href="/wiki/Zirkulu" title="Zirkulu">zirkulu</a> edo <a href="/wiki/Elipse" title="Elipse">elipse</a> bezala idazten da. Antzinean, <a href="/wiki/Tipografia" title="Tipografia">tipografia</a> askok O letra <a href="/wiki/Maiuskula" class="mw-redirect" title="Maiuskula">maiuskula</a> 0 digitu eliptikoa baino <a href="/wiki/Biribil" class="mw-redirect" title="Biribil">biribilduagoa</a> egiten zuten. Hasierako <a href="/wiki/Idazmakina" title="Idazmakina">idazmakinek</a> ez zuten O eta 0 arteko bereizketarik egiten. Bereizketa nabarmena <a href="/wiki/Pantaila_(ordenagailua)" title="Pantaila (ordenagailua)">pantaila modernoekin</a> iritsi zen.</p><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Leonhard_Euler_identitatea.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/ba/Leonhard_Euler_identitatea.png/220px-Leonhard_Euler_identitatea.png" decoding="async" width="220" height="65" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/b/ba/Leonhard_Euler_identitatea.png 1.5x" data-file-width="263" data-file-height="78" /></a><figcaption>Euler-en identitatea</figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="Zeroa_Euler-en_identitatean">Zeroa Euler-en identitatean</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=21" title="Aldatu atal hau: «Zeroa Euler-en identitatean»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=21" title="Edit section's source code: Zeroa Euler-en identitatean"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Zeroa, 1, <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 \pi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9be4ba0bb8df3af72e90a0535fabcc17431e540a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.332ex; height:1.676ex;" alt="{\displaystyle \pi }"></span>, <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 i}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>i</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle i}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/add78d8608ad86e54951b8c8bd6c8d8416533d20" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.802ex; height:2.176ex;" alt="{\displaystyle i}"></span>, <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 e}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>e</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd253103f0876afc68ebead27a5aa9867d927467" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.083ex; height:1.676ex;" alt="{\displaystyle e}"></span> zenbakiekin batera <a href="/wiki/Eulerren_identitate" title="Eulerren identitate">Euler-en identitate</a> ospetsuan agertzen da: </p><p><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 e^{i\pi }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mi>π</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e^{i\pi }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/14a02b8464db88c495fd187a3e181865822b21de" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.825ex; height:2.676ex;" alt="{\displaystyle e^{i\pi }}"></span> + 1 = 0 </p> <div class="mw-heading mw-heading2"><h2 id="Erreferentziak">Erreferentziak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=22" title="Aldatu atal hau: «Erreferentziak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=22" title="Edit section's source code: Erreferentziak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">↑</a> <span class="reference-text"><i><a rel="nofollow" class="external text" href="http://www.abc.es/cultura/arte/20141121/abci-primer-cero-escrito-historia-201411211748.html">El increíble descubrimiento en Angkor Wat del primer cero escrito por el hombre - El arqueólogo matemático Amir Aczel halló el número 605 escrito en una estela del siglo VI, desaparecida durante la dictadura de los Jemeres rojos</a></i>, ABC, 22/11/2014.</span> </li> <li id="cite_note-2"><a href="#cite_ref-2">↑</a> <span class="reference-text">Ifrah:1998 909. or.</span> </li> <li id="cite_note-3"><a href="#cite_ref-3">↑</a> <span class="reference-text">Ifrah:1998 828. or.</span> </li> <li id="cite_note-4"><a href="#cite_ref-4">↑</a> <span class="reference-text">Ifrah:1998 1357-1358. or.</span> </li> <li id="cite_note-5"><a href="#cite_ref-5">↑</a> <span class="reference-text">Ifrah:1998 1360. or.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Kanpo_estekak">Kanpo estekak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Zero&veaction=edit&section=23" title="Aldatu atal hau: «Kanpo estekak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Zero&action=edit&section=23" title="Edit section's source code: Kanpo estekak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Gaztelaniaz dago aipu honen iturburua"><b>(Gaztelaniaz)</b></span> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20121023063719/http://www.astroseti.org/articulo/3472/">Zeroaren historia</a></li> <li><span style="cursor: help; font-size: 90%; font-family: bold; color: gray" title="Ingelesez dago aipu honen iturburua"><b>(Ingelesez)</b></span> Weisstein, Eric W. «Zero». In Weisstein, Eric W, ed. <i>MathWorld</i>. Wolfram Research.</li> <li><a rel="nofollow" class="external free" href="https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/9847/9288">https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/9847/9288</a></li></ul> <div style="clear:both;"></div><style data-mw-deduplicate="TemplateStyles:r7786466">.mw-parser-output .mw-authority-control{margin-top:1.5em}.mw-parser-output .mw-authority-control .navbox hr:last-child{display:none}.mw-parser-output .mw-authority-control .navbox+.mw-mf-linked-projects{display:none}.mw-parser-output .mw-authority-control,.mw-parser-output .mw-mf-linked-projects{border:1px solid #a2a9b1;font-size:88%}.mw-parser-output .mw-authority-control .mw-mf-linked-projects ul li{margin-bottom:0}</style><div class="mw-authority-control"><div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r9236167">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid 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style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th id="Autoritate_kontrola" scope="row" class="navbox-group" style="width:1%;width: 12%; text-align:center;"><a href="/wiki/Laguntza:Autoritate_kontrola" title="Laguntza:Autoritate kontrola">Autoritate kontrola</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><b>Wikimedia proiektuak</b></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datuak:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q204" class="extiw" title="wikidata:Q204">Q204</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:0_(number)">0 (number)</a></span> / <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Special:MediaSearch?type=image&search=%22Q204%22">Q204</a></span></span></li></ul> <hr /> <ul><li><b>Identifikadoreak</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Biblioth%C3%A8que_nationale_de_France" class="mw-redirect" title="Bibliothèque nationale de France">BNF</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb12089393x">12089393x</a> <a rel="nofollow" class="external text" href="http://data.bnf.fr/ark:/12148/cb12089393x">(data)</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Integrated_Authority_File" class="mw-redirect" title="Integrated Authority File">GND</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/4368215-7">4368215-7</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Library_of_Congress_Control_Number" title="Library of Congress Control Number">LCCN</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/sh85149761">sh85149761</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/National_Library_of_the_Czech_Republic" class="mw-redirect" title="National Library of the Czech Republic">NKC</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph323412">ph323412</a></span></li> <li><b>Hiztegiak eta entziklopediak</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Encyclop%C3%A6dia_Britannica" title="Encyclopædia Britannica">Britannica</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://www.britannica.com/topic/zero-mathematics">url</a></span></li></ul> </div></td></tr></tbody></table></div><div class="mw-mf-linked-projects hlist"> <ul><li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datuak:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q204" class="extiw" title="wikidata:Q204">Q204</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:0_(number)">0 (number)</a></span> / <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Special:MediaSearch?type=image&search=%22Q204%22">Q204</a></span></span></li></ul> </div></div>    </div><script>(RLQ=window.RLQ||[]).push(function(){mw.log.warn("Gadget \"ErrefAurrebista\" was not loaded. 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