CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-sticky-header-enabled vector-toc-available" lang="da" dir="ltr"> <head> <meta charset="UTF-8"> <title>Graf - Wikipedia, den frie encyklopædi</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-sticky-header-enabled vector-toc-available";var cookie=document.cookie.match(/(?:^|; )dawikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":[",\t.",".\t,"],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy","wgMonthNames":["","januar","februar","marts","april","maj","juni","juli","august","september","oktober","november","december"],"wgRequestId":"9fecd6a2-2719-4cc5-997d-2a33605ef18d","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Graf","wgTitle":"Graf","wgCurRevisionId":11869554,"wgRevisionId":11869554,"wgArticleId":48245,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Behøver eftersyn (samlet liste)","Behøver eftersyn siden november 2009","Wikipedia artikler med NDL autoritetsdata-ID","Grafer","Computergrafik","Infografik","Diagrammer"],"wgPageViewLanguage":"da","wgPageContentLanguage":"da","wgPageContentModel":"wikitext","wgRelevantPageName":"Graf","wgRelevantArticleId":48245,"wgTempUserName":null,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"da","pageLanguageDir":"ltr","pageVariantFallbacks":"da"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":6000,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q28923","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGELevelingUpEnabledForUser":false,"wgSiteNoticeId":"2.0"}; RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.cite.styles":"ready","ext.math.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.dismissableSiteNotice.styles":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","mediawiki.page.media","site","mediawiki.page.ready","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.NewSection","ext.gadget.ReferenceTooltips","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","ext.dismissableSiteNotice"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=da&modules=ext.cite.styles%7Cext.dismissableSiteNotice.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=da&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=da&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.21"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Graf - Wikipedia, den frie encyklopædi"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//da.m.wikipedia.org/wiki/Graf"> <link rel="alternate" type="application/x-wiki" title="Redigér" href="/w/index.php?title=Graf&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (da)"> <link rel="EditURI" type="application/rsd+xml" href="//da.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://da.wikipedia.org/wiki/Graf"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.da"> <link rel="alternate" type="application/atom+xml" title="Wikipedia Atom-feed" href="/w/index.php?title=Speciel:Seneste_%C3%A6ndringer&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Graf rootpage-Graf skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Spring til indhold</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Websted"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" title="Hovedmenu" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Hovedmenu" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Hovedmenu</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Hovedmenu</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">flyt til sidebjælken</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">skjul</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigation </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/Forside" title="Besøg forsiden [z]" accesskey="z"><span>Forside</span></a></li><li id="n-kategorier" class="mw-list-item"><a href="/wiki/Wikipedia:Kategorier"><span>Kategorier</span></a></li><li id="n-Fremhævet-indhold" class="mw-list-item"><a href="/wiki/Wikipedia:Fremh%C3%A6vet_indhold"><span>Fremhævet indhold</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Speciel:Tilf%C3%A6ldig_side" title="Gå til en tilfældig side [x]" accesskey="x"><span>Tilfældig side</span></a></li><li id="n-Tilfældige-artikler" class="mw-list-item"><a href="/wiki/Wikipedia:Tilf%C3%A6ldige_artikler"><span>Tilfældige artikler</span></a></li><li id="n-Aktuelt" class="mw-list-item"><a href="/wiki/Wikipedia:Aktuelle_begivenheder"><span>Aktuelt</span></a></li><li id="n-specialpages" class="mw-list-item"><a href="/wiki/Speciel:Specialsider"><span>Specialsider</span></a></li> </ul> </div> </div> <div id="p-deltagelse" class="vector-menu mw-portlet mw-portlet-deltagelse" > <div class="vector-menu-heading"> deltagelse </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-velkommen" class="mw-list-item"><a href="/wiki/Hj%C3%A6lp:Velkommen_til_Wikipedia"><span>Velkommen</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Forside" title="Om projektet, hvad du kan gøre, hvor tingene findes"><span>Skribentforside</span></a></li><li id="n-Landsbybrønden" class="mw-list-item"><a href="/wiki/Wikipedia:Landsbybr%C3%B8nden"><span>Landsbybrønden</span></a></li><li id="n-Projekter" class="mw-list-item"><a href="/wiki/Wikipedia:Projekter"><span>Projekter</span></a></li><li id="n-Portaler" class="mw-list-item"><a href="/wiki/Portal:Portaler"><span>Portaler</span></a></li><li id="n-Ønskede-artikler" class="mw-list-item"><a href="/wiki/Wikipedia:WikiProjekt_Efterspurgte_artikler"><span>Ønskede artikler</span></a></li><li id="n-Oprydning" class="mw-list-item"><a href="/wiki/Wikipedia:Oprydning"><span>Oprydning</span></a></li><li id="n-Kalender" class="mw-list-item"><a href="/wiki/Wikipedia:Kalender"><span>Kalender</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Speciel:Seneste_%C3%A6ndringer" title="Listen over de seneste ændringer i wikien. [r]" accesskey="r"><span>Seneste ændringer</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Hj%C3%A6lp:Forside" title="Stedet hvor du finder hjælp"><span>Hjælp</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Forside" 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="Den frie encyklopædi" src="/static/images/mobile/copyright/wikipedia-tagline-da.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/Speciel:S%C3%B8gning" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Søg på Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Søg</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="Søg på Wikipedia" aria-label="Søg på Wikipedia" autocapitalize="sentences" title="Søg på Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Speciel:Søgning"> </div> <button class="cdx-button cdx-search-input__end-button">Søg</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Personlige værktøjer"> <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="Udseende"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Skift udseendet af sidens skriftstørrelse, -bredde og -farve" > <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="Udseende" > <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">Udseende</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=da.wikipedia.org&uselang=da" class=""><span>Donation</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=Speciel:Opret_konto&returnto=Graf" title="Du opfordres til at oprette en konto og logge på, men det er ikke obligatorisk" class=""><span>Opret konto</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=Speciel:Log_p%C3%A5&returnto=Graf" title="Du opfordres til at logge på, men det er ikke obligatorisk. [o]" accesskey="o" class=""><span>Log på</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out user-links-collapsible-item" title="Flere muligheder" > <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="Personlige værktøjer" > <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">Personlige værktøjer</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Brugermenu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=da.wikipedia.org&uselang=da"><span>Donation</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciel:Opret_konto&returnto=Graf" title="Du opfordres til at oprette en konto og logge på, men det er ikke obligatorisk"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Opret konto</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciel:Log_p%C3%A5&returnto=Graf" title="Du opfordres til at logge på, men det er ikke obligatorisk. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Log på</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 id="mw-dismissablenotice-anonplace"></div><script>(function(){var node=document.getElementById("mw-dismissablenotice-anonplace");if(node){node.outerHTML="\u003Cdiv class=\"mw-dismissable-notice\"\u003E\u003Cdiv class=\"mw-dismissable-notice-close\"\u003E[\u003Ca tabindex=\"0\" role=\"button\"\u003ELuk\u003C/a\u003E]\u003C/div\u003E\u003Cdiv class=\"mw-dismissable-notice-body\"\u003E\u003C!-- CentralNotice --\u003E\u003Cdiv id=\"localNotice\" data-nosnippet=\"\"\u003E\u003Cdiv class=\"sitenotice\" lang=\"da\" dir=\"ltr\"\u003E\u003Cp\u003EDu kan være med til at gøre Wikipedia bedre – \u003Ca href=\"/wiki/Hj%C3%A6lp:Du_kan_v%C3%A6re_med_til_at_g%C3%B8re_Wikipedia_bedre!\" title=\"Hjælp:Du kan være med til at gøre Wikipedia bedre!\"\u003Elæs her hvordan!\u003C/a\u003E\u003Cbr /\u003E \u003C/p\u003E\u003Cdiv class=\"vis-for-autopatrol\"\u003EDansk Wikipedia har en Discord-server, hvor du kan chatte. Se mere på \u003Ca href=\"/wiki/Wikipedia:Discord\" title=\"Wikipedia:Discord\"\u003EWikipedia:Discord\u003C/a\u003E\u003C/div\u003E\u003Cp\u003E\u003Ci\u003E\u003Csmall\u003E(\u003Ca href=\"/wiki/Hj%C3%A6lp:Sitenotice\" title=\"Hjælp:Sitenotice\"\u003ELæs her om sitenotice\u003C/a\u003E)\u003C/small\u003E\u003C/i\u003E\u003C/p\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></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="Websted"> <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="Indhold" 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">Indhold</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flyt til sidebjælken</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skjul</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">Indledning</div> </a> </li> <li id="toc-Fremstilling_af_grafer_i_praksis" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Fremstilling_af_grafer_i_praksis"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Fremstilling af grafer i praksis</span> </div> </a> <ul id="toc-Fremstilling_af_grafer_i_praksis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Måledata_og_beregnede_data" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Måledata_og_beregnede_data"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Måledata og beregnede data</span> </div> </a> <ul id="toc-Måledata_og_beregnede_data-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Eksempler" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Eksempler"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Eksempler</span> </div> </a> <button aria-controls="toc-Eksempler-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>Vis/skjul underafsnit Eksempler</span> </button> <ul id="toc-Eksempler-sublist" class="vector-toc-list"> <li id="toc-Nogle_eksempler_på_grafer_til_afbildning_af_måledata" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Nogle_eksempler_på_grafer_til_afbildning_af_måledata"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Nogle eksempler på grafer til afbildning af måledata</span> </div> </a> <ul id="toc-Nogle_eksempler_på_grafer_til_afbildning_af_måledata-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Nogle_eksempler_på_grafer,_der_kan_beregnes_matematisk" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Nogle_eksempler_på_grafer,_der_kan_beregnes_matematisk"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Nogle eksempler på grafer, der kan beregnes matematisk</span> </div> </a> <ul id="toc-Nogle_eksempler_på_grafer,_der_kan_beregnes_matematisk-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Abstrakte_grafer" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Abstrakte_grafer"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Abstrakte grafer</span> </div> </a> <ul id="toc-Abstrakte_grafer-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Fagmatematisk_forklaring_af_grafer_for_matematiske_funktioner" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Fagmatematisk_forklaring_af_grafer_for_matematiske_funktioner"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Fagmatematisk forklaring af grafer for matematiske funktioner</span> </div> </a> <ul id="toc-Fagmatematisk_forklaring_af_grafer_for_matematiske_funktioner-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Noter_og_henvisninger" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Noter_og_henvisninger"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Noter og henvisninger</span> </div> </a> <ul id="toc-Noter_og_henvisninger-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="Indhold" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Indholdsfortegnelse" > <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="Vis/skjul indholdsfortegnelsen" > <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">Vis/skjul indholdsfortegnelsen</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">Graf</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="Gå til en artikel på et andet sprog. Tilgængelig på 30 sprog" > <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-30" 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">30 sprog</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%AE%D8%B7%D8%B7_%D8%A8%D9%8A%D8%A7%D9%86%D9%8A" title="مخطط بياني – arabisk" lang="ar" hreflang="ar" data-title="مخطط بياني" data-language-autonym="العربية" data-language-local-name="arabisk" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bew mw-list-item"><a href="https://bew.wikipedia.org/wiki/Gambar_l%C3%A8r-l%C3%A8ran" title="Gambar lèr-lèran – Betawi" lang="bew" hreflang="bew" data-title="Gambar lèr-lèran" data-language-autonym="Betawi" data-language-local-name="Betawi" class="interlanguage-link-target"><span>Betawi</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Gr%C3%A0fica" title="Gràfica – catalansk" lang="ca" hreflang="ca" data-title="Gràfica" data-language-autonym="Català" data-language-local-name="catalansk" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Siart" title="Siart – walisisk" lang="cy" hreflang="cy" data-title="Siart" data-language-autonym="Cymraeg" data-language-local-name="walisisk" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Chart" title="Chart – engelsk" lang="en" hreflang="en" data-title="Chart" data-language-autonym="English" data-language-local-name="engelsk" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Gr%C3%A1fica" title="Gráfica – spansk" lang="es" hreflang="es" data-title="Gráfica" data-language-autonym="Español" data-language-local-name="spansk" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Datu-diagrama" title="Datu-diagrama – baskisk" lang="eu" hreflang="eu" data-title="Datu-diagrama" data-language-autonym="Euskara" data-language-local-name="baskisk" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Gr%C3%A1fica" title="Gráfica – galicisk" lang="gl" hreflang="gl" data-title="Gráfica" data-language-autonym="Galego" data-language-local-name="galicisk" 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/Ta%27angahai" title="Ta'angahai – guarani" lang="gn" hreflang="gn" data-title="Ta'angahai" data-language-autonym="Avañe'ẽ" data-language-local-name="guarani" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%92%D7%A8%D7%A3_(%D7%AA%D7%A8%D7%A9%D7%99%D7%9D)" title="גרף (תרשים) – hebraisk" lang="he" hreflang="he" data-title="גרף (תרשים)" data-language-autonym="עברית" data-language-local-name="hebraisk" 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%B2%E0%A5%87%E0%A4%96%E0%A4%BE%E0%A4%9A%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B0" title="लेखाचित्र – hindi" lang="hi" hreflang="hi" data-title="लेखाचित्र" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Bagan" title="Bagan – indonesisk" lang="id" hreflang="id" data-title="Bagan" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesisk" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Grafikajo_(datum-analizo)" title="Grafikajo (datum-analizo) – ido" lang="io" hreflang="io" data-title="Grafikajo (datum-analizo)" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%B5%B1%E8%A8%88%E5%9B%B3%E8%A1%A8" title="統計図表 – japansk" lang="ja" hreflang="ja" data-title="統計図表" data-language-autonym="日本語" data-language-local-name="japansk" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A7%D0%B0%D1%80%D1%82" title="Чарт – kasakhisk" lang="kk" hreflang="kk" data-title="Чарт" data-language-autonym="Қазақша" data-language-local-name="kasakhisk" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%B0%A8%ED%8A%B8" title="차트 – koreansk" lang="ko" hreflang="ko" data-title="차트" data-language-autonym="한국어" data-language-local-name="koreansk" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Carta" title="Carta – malajisk" lang="ms" hreflang="ms" data-title="Carta" data-language-autonym="Bahasa Melayu" data-language-local-name="malajisk" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Taattoo" title="Taattoo – oromo" lang="om" hreflang="om" data-title="Taattoo" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Wykres" title="Wykres – polsk" lang="pl" hreflang="pl" data-title="Wykres" data-language-autonym="Polski" data-language-local-name="polsk" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Gr%C3%A1fico_(estat%C3%ADstica)" title="Gráfico (estatística) – portugisisk" lang="pt" hreflang="pt" data-title="Gráfico (estatística)" data-language-autonym="Português" data-language-local-name="portugisisk" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Chart" title="Chart – Simple English" lang="en-simple" hreflang="en-simple" data-title="Chart" 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-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Grafikon" title="Grafikon – slovensk" lang="sl" hreflang="sl" data-title="Grafikon" data-language-autonym="Slovenščina" data-language-local-name="slovensk" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Grafiku" title="Grafiku – albansk" lang="sq" hreflang="sq" data-title="Grafiku" data-language-autonym="Shqip" data-language-local-name="albansk" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Chati" title="Chati – swahili" lang="sw" hreflang="sw" data-title="Chati" data-language-autonym="Kiswahili" data-language-local-name="swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%B5%E0%AE%BF%E0%AE%B3%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AE%9F%E0%AE%AE%E0%AF%8D" title="விளக்கப்படம் – tamil" lang="ta" hreflang="ta" data-title="விளக்கப்படம்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Tsart" title="Tsart – tagalog" lang="tl" hreflang="tl" data-title="Tsart" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%94%D1%96%D0%B0%D0%B3%D1%80%D0%B0%D0%BC%D0%B0_(%D0%BF%D1%80%D0%B5%D0%B4%D1%81%D1%82%D0%B0%D0%B2%D0%BB%D0%B5%D0%BD%D0%BD%D1%8F_%D0%B4%D0%B0%D0%BD%D0%B8%D1%85)" title="Діаграма (представлення даних) – ukrainsk" lang="uk" hreflang="uk" data-title="Діаграма (представлення даних)" data-language-autonym="Українська" data-language-local-name="ukrainsk" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%B5%B1%E8%A8%88%E5%9C%96%E8%A1%A8" title="統計圖表 – kinesisk" lang="zh" hreflang="zh" data-title="統計圖表" data-language-autonym="中文" data-language-local-name="kinesisk" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Chart" title="Chart – min-kinesisk" lang="nan" hreflang="nan" data-title="Chart" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="min-kinesisk" 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/%E7%B5%B1%E8%A8%88%E5%9C%96" title="統計圖 – kantonesisk" lang="yue" hreflang="yue" data-title="統計圖" data-language-autonym="粵語" data-language-local-name="kantonesisk" class="interlanguage-link-target"><span>粵語</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/Q28923#sitelinks-wikipedia" title="Redigér sproglinks" class="wbc-editpage">Redigér links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Navnerum"> <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/Graf" title="Se indholdssiden [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Diskussion:Graf&action=edit&redlink=1" rel="discussion" class="new" title="Diskussion om indholdet på siden (ikke skrevet endnu) [t]" accesskey="t"><span>Diskussion</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="Ændr sprogvariant" > <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">dansk</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="Visninger"> <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/Graf"><span>Læs</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Graf&veaction=edit" title="Redigér denne side [v]" accesskey="v"><span>Redigér</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Graf&action=edit" title="Rediger kildekoden for denne side [e]" accesskey="e"><span>Rediger kildekode</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Graf&action=history" title="Tidligere versioner af denne side [h]" accesskey="h"><span>Se historik</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sideværktøjer"> <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="Værktøjer" > <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">Værktøjer</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">Værktøjer</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">flyt til sidebjælken</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">skjul</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Flere muligheder" > <div class="vector-menu-heading"> Handlinger </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/Graf"><span>Læs</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Graf&veaction=edit" title="Redigér denne side [v]" accesskey="v"><span>Redigér</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Graf&action=edit" title="Rediger kildekoden for denne side [e]" accesskey="e"><span>Rediger kildekode</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Graf&action=history"><span>Se historik</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Generelt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Speciel:Hvad_linker_hertil/Graf" title="Liste med alle sider som henviser hertil [j]" accesskey="j"><span>Hvad henviser hertil</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Speciel:Relaterede_%C3%A6ndringer/Graf" rel="nofollow" title="Seneste ændringer af sider som denne side henviser til [k]" accesskey="k"><span>Beslægtede ændringer</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=da&campaign=dk" title="Upload filer [u]" accesskey="u"><span>Upload fil</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Graf&oldid=11869554" title="Permanent link til denne version af denne side"><span>Permanent link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Graf&action=info" title="Yderligere oplysninger om denne side"><span>Sideinformation</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Speciel:Citer&page=Graf&id=11869554&wpFormIdentifier=titleform" title="Information om, hvordan man kan citere denne side"><span>Referer til denne side</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Speciel:UrlShortener&url=https%3A%2F%2Fda.wikipedia.org%2Fwiki%2FGraf"><span>Hent forkortet URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Speciel:QrCode&url=https%3A%2F%2Fda.wikipedia.org%2Fwiki%2FGraf"><span>Download QR-kode</span></a></li> </ul> </div> </div> <div id="p-Organisation" class="vector-menu mw-portlet mw-portlet-Organisation" > <div class="vector-menu-heading"> Organisation </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-contact" class="mw-list-item"><a href="/wiki/Wikipedia:Kontakt_Wikipedia"><span>Kontakt Wikipedia</span></a></li><li id="n-Wikimedia-Danmark" class="mw-list-item"><a href="https://dk.wikimedia.org/wiki/"><span>Wikimedia Danmark</span></a></li><li id="n-GLAM" class="mw-list-item"><a href="/wiki/Wikipedia:GLAM"><span>GLAM</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"> Udskriv/eksportér </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=Speciel:Bog&bookcmd=book_creator&referer=Graf"><span>Lav en bog</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Speciel:DownloadAsPdf&page=Graf&action=show-download-screen"><span>Download som PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Graf&printable=yes" title="Printervenlig udgave af denne side [p]" accesskey="p"><span>Udskriftsvenlig udgave</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"> I andre projekter </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/Chart" 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/Q28923" title="Link til tilknyttet emne i Wikidata [g]" accesskey="g"><span>Wikidata-element</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="Sideværktøjer"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Udseende"> <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">Udseende</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">flyt til sidebjælken</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skjul</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">Fra Wikipedia, den frie encyklopædi</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="da" dir="ltr"><div style="clear: right; margin-bottom: .5em; float: right; padding: .5em 0 .8em 1.4em; background: none; width: auto;"><meta property="mw:PageProp/toc" /></div> <dl><dd><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Disambig_bordered_fade.svg/19px-Disambig_bordered_fade.svg.png" decoding="async" width="19" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Disambig_bordered_fade.svg/29px-Disambig_bordered_fade.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Disambig_bordered_fade.svg/38px-Disambig_bordered_fade.svg.png 2x" data-file-width="236" data-file-height="185" /></span></span><i> For alternative betydninger, se <a href="/wiki/Graf_(flertydig)" class="mw-disambig" title="Graf (flertydig)">Graf (flertydig)</a>.</i> <small>(<a href="/wiki/Speciel:Pr%C3%A6fiksindeks/Graf" title="Speciel:Præfiksindeks/Graf">Se også artikler, som begynder med Graf</a>)</small></dd></dl> <p>En <b>graf</b> er en todimensional grafisk fremstilling af en <a href="/wiki/Funktion_(matematik)" title="Funktion (matematik)">funktionel</a> afhængighed mellem to størrelser, således at kender man sammenhørende værdier af de to størrelser, så ved man ud fra grafen, om de tilfredsstiller den funktionelle afhængighed eller ej<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>En forenklet men mindre almengyldig forklaring er, at ud fra værdien af den ene størrelse, den <i>uafhængige variabel</i>, sædvanligvis afsat positivt til højre ud af x-aksen, kan man på grafen aflæse værdien af den andens, den <i>afhængige variabels</i> størrelse ved at måle aftanden fra grafen til x-aksen i den pågældende afstand fra y-aksen regnet positivt opad. Denne aflæsning lettes i reglen ved hjælp af vandrette og lodrette målestreger anbragt med fast <a href="/wiki/Interval_(matematik)" title="Interval (matematik)">interval</a> ud af henholdsvis x-aksen og y-aksen. </p> <div class="mw-heading mw-heading2"><h2 id="Fremstilling_af_grafer_i_praksis">Fremstilling af grafer i praksis</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Graf&veaction=edit&section=1" title="Redigér afsnit: Fremstilling af grafer i praksis" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Graf&action=edit&section=1" title="Edit section's source code: Fremstilling af grafer i praksis"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/Fil:Histogram_example.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Histogram_example.svg/300px-Histogram_example.svg.png" decoding="async" width="300" height="240" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Histogram_example.svg/450px-Histogram_example.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Histogram_example.svg/600px-Histogram_example.svg.png 2x" data-file-width="361" data-file-height="289" /></a><figcaption>En graf i form af et søjlediagram (et <a href="/wiki/Histogram" title="Histogram">histogram</a>)</figcaption></figure> <p>Parvist sammenhørende talværdier kan altid fremstilles dels i form af en tabel, dels i form af en graf. Tabeller har den fordel at kunne være meget præcise, mens grafer kan være relativt mere anskuelige. Når man i praksis tegner en graf, sker det gerne ved, at man bruger en registrering i tabelform som grundlag. </p><p>I dag er det at omsætte tabelværdier til grafer noget, der som regel gøres fuldautomatisk via <a href="/wiki/Computer" title="Computer">computerteknologi</a>. </p><p>Grafer kan til dels være i form af grafer på elektroniske displays, der tidstro løbende <a href="/wiki/Sk%C3%A6rm_(monitor)" class="mw-redirect" title="Skærm (monitor)">monitorerer</a> visse måleværdier, f.eks. vedrørende indlagte <a href="/wiki/Patient" title="Patient">patienters</a> kritiske tilstand. </p> <div class="mw-heading mw-heading2"><h2 id="Måledata_og_beregnede_data"><span id="M.C3.A5ledata_og_beregnede_data"></span>Måledata og beregnede data</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Graf&veaction=edit&section=2" title="Redigér afsnit: Måledata og beregnede data" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Graf&action=edit&section=2" title="Edit section's source code: Måledata og beregnede data"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Fil:Kwh_per_frig.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Kwh_per_frig.jpg/400px-Kwh_per_frig.jpg" decoding="async" width="400" height="283" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3c/Kwh_per_frig.jpg/600px-Kwh_per_frig.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/3/3c/Kwh_per_frig.jpg 2x" data-file-width="715" data-file-height="505" /></a><figcaption>Eksempel med flere forskellige grafer med måledata anbragt i det samme koordinatsystem (NB. med forskellige lodrette enheder!)</figcaption></figure> <p>Dersom en grafs teoretiske værdier både kan måles og beregnes matematisk, så kan en sammenligning mellem to grafer anbragt i det samme koordinatsystem, hvoraf den ene graf afbilder målte data, mens den anden afbilder den tilsvarende matematisk beregnede graf, bruges til sandsynliggørelse af en <a href="/wiki/Videnskab" title="Videnskab">videnskabelig</a> <a href="/wiki/Hypotese" title="Hypotese">hypoteses</a> eventuelle rigtighed. </p> <div class="mw-heading mw-heading2"><h2 id="Eksempler">Eksempler</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Graf&veaction=edit&section=3" title="Redigér afsnit: Eksempler" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Graf&action=edit&section=3" title="Edit section's source code: Eksempler"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Nogle_eksempler_på_grafer_til_afbildning_af_måledata"><span id="Nogle_eksempler_p.C3.A5_grafer_til_afbildning_af_m.C3.A5ledata"></span>Nogle eksempler på grafer til afbildning af måledata</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Graf&veaction=edit&section=4" title="Redigér afsnit: Nogle eksempler på grafer til afbildning af måledata" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Graf&action=edit&section=4" title="Edit section's source code: Nogle eksempler på grafer til afbildning af måledata"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>En graf der afbilder <a href="/wiki/Nedb%C3%B8r" title="Nedbør">nedbørsmængden</a> i hver af årets måneder et givet sted et givet år.</li></ul> <dl><dd><dl><dd>Den uafhængige variabel vil da være <a href="/wiki/M%C3%A5ned" title="Måned">månedsnummeret</a> og den afhængige variabel nedbørsmængderne for hver af de respektive måneder, idet man f.eks vedtager, at månederne er afsat med 1 cm's interval, mens nedbørsmængderne er afsat, så 100 mm nedbørsmængde svarer til 2 cm på grafen i lodret opadgående retning.</dd></dl></dd></dl> <ul><li>En graf der afbilder <a href="/wiki/Kurs" title="Kurs">kursudviklingen</a> for et bestemt <a href="/wiki/V%C3%A6rdipapir" title="Værdipapir">værdipapir</a> målt dagligt i en givet periode.</li></ul> <dl><dd><dl><dd>Den uafhængige variabel vil da være dagnummeret i det givne interval, og den afhængige variable <a href="/w/index.php?title=Kursv%C3%A6rdi&action=edit&redlink=1" class="new" title="Kursværdi (ikke skrevet endnu)">kursværdien</a> for hver af de respektive datoer, idet man f.eks. vedtager, at dagene er afsat med 2 mm interval og kursværdien, så 100% (<a href="/wiki/Pari" title="Pari">pari</a>) svarer til 5 cm på grafen i lodret opadgående retning.</dd></dl></dd></dl> <ul><li>En graf der afbilder en virksomheds omsætning af en givet vare pr uge i en givet periode.</li></ul> <dl><dd><dl><dd>Den uafhængige variabel vil da være ugenummeret i det givne interval, og den afhængige variabel antal solgte eksemplarer i løbet af den pågeldende uge, idet man f.eks. vedtager, at ugerne er afsat med 2 mm interval og antallet af solgte eksemplarer er afsat, så 10.000 stk. svarer til 1 cm på grafen i lodret opadgående retning.</dd></dl></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Nogle_eksempler_på_grafer,_der_kan_beregnes_matematisk"><span id="Nogle_eksempler_p.C3.A5_grafer.2C_der_kan_beregnes_matematisk"></span>Nogle eksempler på grafer, der kan beregnes matematisk</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Graf&veaction=edit&section=5" title="Redigér afsnit: Nogle eksempler på grafer, der kan beregnes matematisk" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Graf&action=edit&section=5" title="Edit section's source code: Nogle eksempler på grafer, der kan beregnes matematisk"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Forløbet af <a href="/wiki/Solen" title="Solen">solens</a> højde over <a href="/wiki/Horisont_(geografi)" title="Horisont (geografi)">horisonten</a> gennem 24 timer på en givet dag af året på en givet <a href="/wiki/Breddegrad" class="mw-redirect" title="Breddegrad">breddegrad</a>.</li> <li>Forløbet af beliggenheden af et legeme med en givet begyndelseshastighed, bevægelsesretning og masse, der påvirkes af en givet konstant <a href="/wiki/Kraft" title="Kraft">kraft</a> i en givet retning.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Abstrakte_grafer">Abstrakte grafer</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Graf&veaction=edit&section=6" title="Redigér afsnit: Abstrakte grafer" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Graf&action=edit&section=6" title="Edit section's source code: Abstrakte grafer"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Fil:Elipse_girando.gif" class="mw-file-description" title="Elipse graf"><img alt="Elipse graf" src="//upload.wikimedia.org/wikipedia/commons/4/4e/Elipse_girando.gif" decoding="async" width="400" height="400" class="mw-file-element" data-file-width="400" data-file-height="400" /></a></span> </p><p>En abstrakt graf er er en graf, der ikke direkte vedrører fysiske forhold, men derimod en matematisk lovmæssighed, der er defineret i form af en <a href="/wiki/Algebra" title="Algebra">algebraisk</a> formel. Nogle velkendte eksempler er: </p> <ul><li>En <a href="/wiki/Ellipse" class="mw-redirect" title="Ellipse">ellipse</a> (formeleksempel: ax² + by² = 1)</li> <li>En <a href="/wiki/Cirkel" title="Cirkel">cirkel</a> (formeleksempel: x² + y² = 1)</li> <li>En <a href="/wiki/Parabel" title="Parabel">parabel</a> (formeleksempel: y = x3)</li> <li>En <a href="/wiki/Hyperbel" title="Hyperbel">hyperbel</a> (formeleksempel: y = <sup>1</sup>/<sub>x</sub>)</li> <li>En <a href="/wiki/Eksponentialfunktion" class="mw-redirect" title="Eksponentialfunktion">eksponentialkurve</a> (formeleksempel: y = e<sup>x</sup>)</li></ul> <p>I forbindelse med sådanne grafer kan man tale om afledte funktioner, såsom funktioner for <a href="/wiki/H%C3%A6ldningskoefficient" title="Hældningskoefficient">hældningskoefficienter</a> og <a href="/wiki/Integral" class="mw-redirect" title="Integral">integraler</a>. Hele området henhører under det, man kalder <a href="/wiki/Analytisk_geometri" title="Analytisk geometri">analytisk geometri</a>, en disciplin, der blev opfundet af den franske matematiker <a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">René Descartes</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Fagmatematisk_forklaring_af_grafer_for_matematiske_funktioner">Fagmatematisk forklaring af grafer for matematiske funktioner</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Graf&veaction=edit&section=7" title="Redigér afsnit: Fagmatematisk forklaring af grafer for matematiske funktioner" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Graf&action=edit&section=7" title="Edit section's source code: Fagmatematisk forklaring af grafer for matematiske funktioner"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Grafen for en <a href="/wiki/Funktion_(matematik)" title="Funktion (matematik)">funktion</a> (<a href="/wiki/Reelle_tal" title="Reelle tal">reel</a> funktion af én reel variabel) gengiver funktionens "forløb" idet den uafhængige varibel (ofte kaldet <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}" /></span>) afsættes ud ad førsteaksen, og den afhængige variabel (<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 y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}" /></span> eller <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 f(x)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/202945cce41ecebb6f643f31d119c514bec7a074" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.418ex; height:2.843ex;" alt="{\displaystyle f(x)}" /></span>) ud ad andenaksen. For hyppigt betragtede "pæne" funktioner fremstår grafen som en <a href="/wiki/Kurve" title="Kurve">kurve</a> i et sådant koordinatsystem. </p><p>Abstrakt kan grafen for en vilkårlig <a href="/wiki/Afbildning_(matematik)" class="mw-redirect" title="Afbildning (matematik)">afbildning</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f:X\to Y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo>:</mo> <mi>X</mi> <mo stretchy="false">→</mo> <mi>Y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f:X\to Y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/abd1e080abef4bbdab67b43819c6431e7561361c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.583ex; height:2.509ex;" alt="{\displaystyle f:X\to Y}" /></span> <a href="/wiki/Definere" class="mw-redirect" title="Definere">defineres</a> som <a href="/wiki/M%C3%A6ngde" title="Mængde">mængden</a> </p> <dl><dd><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 \Gamma =\{(x,y)\mid x\in X\mathrm {\ og\ } y=f(x)\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Γ</mi> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mo>∣</mo> <mi>x</mi> <mo>∈</mo> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext> </mtext> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">g</mi> <mtext> </mtext> </mrow> <mi>y</mi> <mo>=</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Gamma =\{(x,y)\mid x\in X\mathrm {\ og\ } y=f(x)\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1c0143c5fd06609b2ac6f11d0111368a1f2ceba8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:32.45ex; height:2.843ex;" alt="{\displaystyle \Gamma =\{(x,y)\mid x\in X\mathrm {\ og\ } y=f(x)\}}" /></span></dd></dl> <p>Det er ikke i alle tilfælde at der kan laves en visuel fremstilling af denne abstrakte mængde <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 \Gamma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">Γ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Gamma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4cfde86a3f7ec967af9955d0988592f0693d2b19" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.453ex; height:2.176ex;" alt="{\displaystyle \Gamma }" /></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Noter_og_henvisninger">Noter og henvisninger</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Graf&veaction=edit&section=8" title="Redigér afsnit: Noter og henvisninger" class="mw-editsection-visualeditor"><span>redigér</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Graf&action=edit&section=8" title="Edit section's source code: Noter og henvisninger"><span>rediger kildetekst</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r11780210">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">^</a></span> <span class="reference-text">et særtilfælde er højdekurver, isobarkurver o.l. på et kort, hvor der vises et større antal grafer i det samme geografiske koordinatsystem, ved højdekurver f.eks. en specifik graf for hvert antal meter over havets overflade</span> </li> </ol></div></div> <dl><dd><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/19px-Searchtool.svg.png" decoding="async" width="19" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/29px-Searchtool.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/61/Searchtool.svg/38px-Searchtool.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <i>Denne artikel bør gennemlæses af en person med fagkendskab for at sikre den faglige korrekthed.</i></dd></dl> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r11759279">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><style data-mw-deduplicate="TemplateStyles:r11752089">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd}.mw-parser-output .navbox-list{line-height:1.5em;border-color:#fdfdfd}.mw-parser-output .navbox-list-with-group{text-align:left;border-left-width:2px;border-left-style:solid}.mw-parser-output tr+tr>.navbox-abovebelow,.mw-parser-output tr+tr>.navbox-group,.mw-parser-output tr+tr>.navbox-image,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}</style></div><div role="navigation" class="navbox" aria-labelledby="Autoritetsdata" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th id="Autoritetsdata" scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Autoritetsdata" title="Autoritetsdata">Autoritetsdata</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Nationale_parlamentsbibliotek" title="Nationale parlamentsbibliotek">NDL</a>: <span class="uid"><a rel="nofollow" class="external text" href="http://id.ndl.go.jp/auth/ndlna/00573179">00573179</a></span></li></ul> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Hentet fra "<a dir="ltr" href="https://da.wikipedia.org/w/index.php?title=Graf&oldid=11869554">https://da.wikipedia.org/w/index.php?title=Graf&oldid=11869554</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Speciel:Kategorier" title="Speciel:Kategorier">Kategorier</a>: <ul><li><a href="/wiki/Kategori:Grafer" title="Kategori:Grafer">Grafer</a></li><li><a href="/wiki/Kategori:Computergrafik" title="Kategori:Computergrafik">Computergrafik</a></li><li><a href="/wiki/Kategori:Infografik" title="Kategori:Infografik">Infografik</a></li><li><a href="/wiki/Kategori:Diagrammer" title="Kategori:Diagrammer">Diagrammer</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Skjulte kategorier: <ul><li><a href="/wiki/Kategori:Beh%C3%B8ver_eftersyn_(samlet_liste)" title="Kategori:Behøver eftersyn (samlet liste)">Behøver eftersyn (samlet liste)</a></li><li><a href="/wiki/Kategori:Beh%C3%B8ver_eftersyn_siden_november_2009" title="Kategori:Behøver eftersyn siden november 2009">Behøver eftersyn siden november 2009</a></li><li><a href="/wiki/Kategori:Wikipedia_artikler_med_NDL_autoritetsdata-ID" title="Kategori:Wikipedia artikler med NDL autoritetsdata-ID">Wikipedia artikler med NDL autoritetsdata-ID</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Denne side blev senest ændret den 30. september 2024 kl. 11:40.</li> <li id="footer-info-copyright">Tekst er tilgængelig under <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.da">Creative Commons Navngivelse/Del på samme vilkår 4.0</a>; yderligere betingelser kan være gældende. Se <a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use/da">brugsbetingelserne</a> for flere oplysninger.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Privatlivspolitik</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:Om">Om Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:Generelle_forbehold">Forbehold</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Code of Conduct</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Udviklere</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/da.wikipedia.org">Statistik</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie-erklæring</a></li> <li id="footer-places-mobileview"><a href="//da.m.wikipedia.org/w/index.php?title=Graf&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobilvisning</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><picture><source media="(min-width: 500px)" srcset="/static/images/footer/wikimedia-button.svg" width="84" height="29"><img src="/static/images/footer/wikimedia.svg" width="25" height="25" alt="Wikimedia Foundation" lang="en" loading="lazy"></picture></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><picture><source media="(min-width: 500px)" srcset="/w/resources/assets/poweredby_mediawiki.svg" width="88" height="31"><img src="/w/resources/assets/mediawiki_compact.svg" alt="Powered by MediaWiki" lang="en" width="25" height="25" loading="lazy"></picture></a></li> </ul> </footer> </div> </div> </div> <div class="vector-header-container vector-sticky-header-container"> <div id="vector-sticky-header" class="vector-sticky-header"> <div class="vector-sticky-header-start"> <div class="vector-sticky-header-icon-start vector-button-flush-left vector-button-flush-right" aria-hidden="true"> <button class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-sticky-header-search-toggle" tabindex="-1" data-event-name="ui.vector-sticky-search-form.icon"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Søg</span> </button> </div> <div role="search" class="vector-search-box-vue vector-search-box-show-thumbnail vector-search-box"> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail"> <form action="/w/index.php" id="vector-sticky-search-form" class="cdx-search-input cdx-search-input--has-end-button"> <div 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="Søg på Wikipedia"> <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Speciel:Søgning"> </div> <button class="cdx-button cdx-search-input__end-button">Søg</button> </form> </div> </div> </div> <div class="vector-sticky-header-context-bar"> <nav aria-label="Indhold" class="vector-toc-landmark"> <div id="vector-sticky-header-toc" class="vector-dropdown mw-portlet mw-portlet-sticky-header-toc vector-sticky-header-toc vector-button-flush-left" > <input type="checkbox" id="vector-sticky-header-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-sticky-header-toc" class="vector-dropdown-checkbox " aria-label="Vis/skjul indholdsfortegnelsen" > <label id="vector-sticky-header-toc-label" for="vector-sticky-header-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">Vis/skjul indholdsfortegnelsen</span> </label> <div class="vector-dropdown-content"> <div id="vector-sticky-header-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div class="vector-sticky-header-context-bar-primary" aria-hidden="true" ><span class="mw-page-title-main">Graf</span></div> </div> </div> <div class="vector-sticky-header-end" aria-hidden="true"> <div class="vector-sticky-header-icons"> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-talk-sticky-header" tabindex="-1" data-event-name="talk-sticky-header"><span class="vector-icon mw-ui-icon-speechBubbles mw-ui-icon-wikimedia-speechBubbles"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-subject-sticky-header" tabindex="-1" data-event-name="subject-sticky-header"><span class="vector-icon mw-ui-icon-article mw-ui-icon-wikimedia-article"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-history-sticky-header" tabindex="-1" data-event-name="history-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-history mw-ui-icon-wikimedia-wikimedia-history"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only mw-watchlink" id="ca-watchstar-sticky-header" tabindex="-1" data-event-name="watch-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-star mw-ui-icon-wikimedia-wikimedia-star"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-ve-edit-sticky-header" tabindex="-1" data-event-name="ve-edit-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-edit mw-ui-icon-wikimedia-wikimedia-edit"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-edit-sticky-header" tabindex="-1" data-event-name="wikitext-edit-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-wikiText mw-ui-icon-wikimedia-wikimedia-wikiText"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-viewsource-sticky-header" tabindex="-1" data-event-name="ve-edit-protected-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-editLock mw-ui-icon-wikimedia-wikimedia-editLock"></span> <span></span> </a> </div> <div class="vector-sticky-header-buttons"> <button class="cdx-button cdx-button--weight-quiet mw-interlanguage-selector" id="p-lang-btn-sticky-header" tabindex="-1" data-event-name="ui.dropdown-p-lang-btn-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-language mw-ui-icon-wikimedia-wikimedia-language"></span> <span>30 sprog</span> </button> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive" id="ca-addsection-sticky-header" tabindex="-1" data-event-name="addsection-sticky-header"><span class="vector-icon mw-ui-icon-speechBubbleAdd-progressive mw-ui-icon-wikimedia-speechBubbleAdd-progressive"></span> <span>Tilføj emne</span> </a> </div> <div class="vector-sticky-header-icon-end"> <div class="vector-user-links"> </div> </div> </div> </div> </div> <div class="mw-portlet mw-portlet-dock-bottom emptyPortlet" id="p-dock-bottom"> <ul> </ul> </div> <script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.eqiad.main-557fb88f9f-l5gg7","wgBackendResponseTime":150,"wgPageParseReport":{"limitreport":{"cputime":"0.130","walltime":"0.213","ppvisitednodes":{"value":254,"limit":1000000},"postexpandincludesize":{"value":2568,"limit":2097152},"templateargumentsize":{"value":185,"limit":2097152},"expansiondepth":{"value":8,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":6143,"limit":5000000},"entityaccesscount":{"value":1,"limit":400},"timingprofile":["100.00% 130.591 1 -total"," 62.02% 80.997 1 Skabelon:Autoritetsdata"," 19.17% 25.031 1 Skabelon:Harflertydig"," 17.91% 23.391 3 Skabelon:PAGENAMEBASE"," 13.88% 18.127 1 Skabelon:Reflist"," 1.98% 2.588 2 Skabelon:Artikel_eller_andet"," 1.77% 2.307 1 Skabelon:Eftersyn"," 1.71% 2.239 1 Skabelon:TOC_right"]},"scribunto":{"limitreport-timeusage":{"value":"0.063","limit":"10.000"},"limitreport-memusage":{"value":1085863,"limit":52428800}},"cachereport":{"origin":"mw-web.eqiad.main-66c6fc5577-sdf6p","timestamp":"20250307020735","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Graf","url":"https:\/\/da.wikipedia.org\/wiki\/Graf","sameAs":"http:\/\/www.wikidata.org\/entity\/Q28923","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q28923","author":{"@type":"Organization","name":"Bidragsydere til Wikimedia-projekter"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2005-02-07T23:45:38Z","dateModified":"2024-09-30T10:40:12Z"}</script> </body> </html>