CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-disabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-not-available" lang="arz" dir="rtl"> <head> <meta charset="UTF-8"> <title>عرض مصدر وحدة:Math - ويكيبيديا</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-disabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-not-available";var cookie=document.cookie.match(/(?:^|; )arzwikimwclientpreferences=([^;]+)/);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":true,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat": "dmy","wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"dfb48c4e-711e-444e-9d49-99ab8bb952b8","wgCanonicalNamespace":"Module","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":828,"wgPageName":"وحدة:Math","wgTitle":"Math","wgCurRevisionId":7668886,"wgRevisionId":0,"wgArticleId":81012,"wgIsArticle":false,"wgIsRedirect":false,"wgAction":"edit","wgUserName":null,"wgUserGroups":["*"],"wgCategories":[],"wgPageViewLanguage":"en","wgPageContentLanguage":"en","wgPageContentModel":"Scribunto","wgRelevantPageName":"وحدة:Math","wgRelevantArticleId":81012,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"en","pageLanguageDir":"ltr", "pageVariantFallbacks":"en"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":10000,"wgCodeEditorCurrentLanguage":"lua","wgRelatedArticlesCompat":[],"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.codeEditor.styles":"ready","skins.vector.search.codex.styles":"ready", "skins.vector.styles":"ready","skins.vector.icons":"ready","ext.charinsert.styles":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.codeEditor","ext.scribunto.edit","mediawiki.action.edit.collapsibleFooter","site","mediawiki.page.ready","skins.vector.js","ext.centralNotice.geoIP","ext.charinsert","ext.urlShortener.toolbar","ext.centralauth.centralautologin","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.checkUser.clientHints","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=arz&modules=ext.charinsert.styles%7Cext.codeEditor.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=arz&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=arz&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.5"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="noindex,nofollow,max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="عرض مصدر وحدة:Math - ويكيبيديا"> <meta property="og:type" content="website"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//arz.m.wikipedia.org/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math"> <link rel="alternate" type="application/x-wiki" title="تعديل" href="/w/index.php?title=%D9%88%D8%AD%D8%AF%D8%A9:Math&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="ويكيبيديا (arz)"> <link rel="EditURI" type="application/rsd+xml" href="//arz.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://arz.wikipedia.org/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.arz"> <link rel="alternate" type="application/atom+xml" title="ويكيبيديا Atom feed" href="/w/index.php?title=%D8%AE%D8%A7%D8%B5:%D8%A7%D8%AE%D8%B1_%D8%AA%D8%B9%D8%AF%D9%8A%D9%84%D8%A7%D8%AA&feed=atom"> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="codeeditor-loading skin--responsive skin-vector skin-vector-search-vue mediawiki rtl sitedir-rtl mw-hide-empty-elt ns-828 ns-subject mw-editable page-وحدة_Math rootpage-وحدة_Math skin-vector-2022 action-edit"><a class="mw-jump-link" href="#bodyContent">انتقل إلى المحتوى</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="الموقع"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="القائمة الرئيسية" > <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">القائمة الرئيسية</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">القائمة الرئيسية</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">انقل للشريط الجانبي</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">أخف</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> استكشاف </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/%D8%A7%D9%84%D8%B5%D9%81%D8%AD%D9%87_%D8%A7%D9%84%D8%B1%D8%A6%D9%8A%D8%B3%D9%8A%D9%87" title="زور الصفحه الرئيسيه [z]" accesskey="z"><span>الصفحه الرئيسيه</span></a></li><li id="n-portalcategory" class="mw-list-item"><a href="/wiki/%D8%AA%D8%B5%D9%86%D9%8A%D9%81:%D8%A8%D9%88%D8%A7%D8%A8%D8%A7%D8%AA"><span>بوابات ويكيبيديا مصرى</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%D8%AE%D8%A7%D8%B5:%D8%A7%D8%AE%D8%B1_%D8%AA%D8%B9%D8%AF%D9%8A%D9%84%D8%A7%D8%AA" title="ليستة التعديلات الاخرانيه فى الويكى [r]" accesskey="r"><span>اخر التعديلات</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%D8%AE%D8%A7%D8%B5:%D8%B9%D8%B4%D9%88%D8%A7%D8%A6%D9%89" title="لوّد صفحه عشوائيه [x]" accesskey="x"><span>صفحة عشوائيه</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/%D9%85%D8%B3%D8%A7%D8%B9%D8%AF%D8%A9:%D9%85%D8%AD%D8%AA%D9%88%D9%8A%D8%A7%D8%AA" title="لو محتاج مساعده بص هنا"><span>مساعده</span></a></li> </ul> </div> </div> <div id="p-contacting" class="vector-menu mw-portlet mw-portlet-contacting" > <div class="vector-menu-heading"> تواصل </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-villagepump" class="mw-list-item"><a href="/wiki/%D9%88%D9%8A%D9%83%D9%8A%D8%A8%D9%8A%D8%AF%D9%8A%D8%A7:%D8%B5%D8%A7%D9%84%D9%88%D9%86_%D8%A7%D9%84%D9%85%D9%86%D8%A7%D9%82%D8%B4%D9%87"><span>صالون المناقشه</span></a></li><li id="n-manualofstyle" class="mw-list-item"><a href="/wiki/%D9%88%D9%8A%D9%83%D9%8A%D8%A8%D9%8A%D8%AF%D9%8A%D8%A7:%D8%B7%D8%B1%D9%8A%D9%82%D8%A9_%D8%A7%D9%84%D9%83%D8%AA%D8%A7%D8%A8%D9%87"><span>طريقة الكتابه</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/%D9%88%D9%8A%D9%83%D9%8A%D8%A8%D9%8A%D8%AF%D9%8A%D8%A7:%D8%A7%D8%AD%D8%AF%D8%A7%D8%AB_%D8%AF%D9%84%D9%88%D9%82%D8%AA%D9%89" title="شوف معلومات على الاحداث اللى بتحصل دلوقتى"><span>احداث دلوقتى</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/%D8%A7%D9%84%D8%B5%D9%81%D8%AD%D9%87_%D8%A7%D9%84%D8%B1%D8%A6%D9%8A%D8%B3%D9%8A%D9%87" 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="ويكيبيديا" src="/static/images/mobile/copyright/wikipedia-wordmark-ar.svg" style="width: 7.125em; height: 2em;"> <img class="mw-logo-tagline" alt="" src="/static/images/mobile/copyright/wikipedia-tagline-arz.svg" width="66" height="11" style="width: 4.125em; height: 0.6875em;"> </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/%D8%AE%D8%A7%D8%B5:%D8%AA%D8%AF%D9%88%D9%8A%D8%B1" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="دور فى ويكيبيديا [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>تدوير</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="تدوير ويكيبيديا" aria-label="تدوير ويكيبيديا" autocapitalize="sentences" title="دور فى ويكيبيديا [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="خاص:تدوير"> </div> <button class="cdx-button cdx-search-input__end-button">تدوير</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="ادوات شخصيه"> <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="المظهر"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="تغيير مظهر الصفحة، حجم الخط، العرض واللون" > <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="المظهر" > <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">المظهر</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_arz.wikipedia.org&uselang=arz" class=""><span>التبرعات</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=%D8%AE%D8%A7%D8%B5:%D8%A7%D8%A8%D8%AA%D8%AF%D9%89_%D8%AD%D8%B3%D8%A7%D8%A8&returnto=%D9%88%D8%AD%D8%AF%D8%A9%3AMath&returntoquery=action%3Dedit" title="نشجعك على عمل حساب وتسجيل دخولك; لكنه مش ضروري" class=""><span>افتح حساب</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=%D8%AE%D8%A7%D8%B5:%D8%AF%D8%AE%D9%88%D9%84_%D8%A7%D9%84%D9%8A%D9%88%D8%B2%D8%B1&returnto=%D9%88%D8%AD%D8%AF%D8%A9%3AMath&returntoquery=action%3Dedit" title="يستحسن تسجل دخولك; لكن, ده مش اجبارى [o]" accesskey="o" class=""><span>دخول</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="المزيد من الخيارات" > <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="ادوات شخصيه" > <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">ادوات شخصيه</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal" title="قائمة المستخدم" > <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_arz.wikipedia.org&uselang=arz"><span>التبرعات</span></a></li><li id="pt-contribute" class="mw-list-item"><a href="/wiki/%D8%AE%D8%A7%D8%B5:%D8%B3%D8%A7%D9%87%D9%85"><span class="vector-icon mw-ui-icon-edit mw-ui-icon-wikimedia-edit"></span> <span>ساهم</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D8%AE%D8%A7%D8%B5:%D8%A7%D8%A8%D8%AA%D8%AF%D9%89_%D8%AD%D8%B3%D8%A7%D8%A8&returnto=%D9%88%D8%AD%D8%AF%D8%A9%3AMath&returntoquery=action%3Dedit" title="نشجعك على عمل حساب وتسجيل دخولك; لكنه مش ضروري"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>افتح حساب</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D8%AE%D8%A7%D8%B5:%D8%AF%D8%AE%D9%88%D9%84_%D8%A7%D9%84%D9%8A%D9%88%D8%B2%D8%B1&returnto=%D9%88%D8%AD%D8%AF%D8%A9%3AMath&returntoquery=action%3Dedit" title="يستحسن تسجل دخولك; لكن, ده مش اجبارى [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>دخول</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"> صفحات للمحررين الذين سجَّلوا خروجهم <a href="/wiki/%D9%85%D8%B3%D8%A7%D8%B9%D8%AF%D8%A9:%D9%85%D9%82%D8%AF%D9%85%D8%A9" aria-label="تعلَّم المزيد بخصوص التحرير"><span>تعلَّم المزيد</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D8%AE%D8%A7%D8%B5:%D9%85%D9%86%D8%A7%D9%82%D8%B4%D8%AA%D9%89" title="نقاش حوالين التعديلات من عنوان الأيبى دا [n]" accesskey="n"><span>المناقشة مع عنوان الأيبى دا</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="الموقع"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <h1 id="firstHeading" class="firstHeading mw-first-heading">عرض مصدر وحدة:Math</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="هذه المقالة تتواجد فقط في هذه اللغة. أضفها إلى اللغات الأخرى." > <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-0" 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">أضف لغات</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> <div class="after-portlet after-portlet-lang"><span class="uls-after-portlet-link"></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="النطاقات"> <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-module" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math" title="عرض صفحة الوحدة [c]" accesskey="c"><span>وحدة</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D9%86%D9%82%D8%A7%D8%B4_%D8%A7%D9%84%D9%88%D8%AD%D8%AF%D8%A9:Math&action=edit&redlink=1" rel="discussion" class="new" title="مناقشة صفحة الموضوع (الصفحه مالهاش وجود) [t]" accesskey="t"><span>مناقشه</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="غيّر لهجة اللغة" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">English</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="مناظر"> <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="vector-tab-noicon mw-list-item"><a href="/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math"><span>قرايه</span></a></li><li id="ca-edit" class="selected vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D9%88%D8%AD%D8%AF%D8%A9:Math&action=edit" title="عدل الكود المصدري لهذه الصفحة"><span>مصدر التعديل</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%D9%88%D8%AD%D8%AF%D8%A9:Math&action=history" title="نسخ قديمه من الصفحه دى [h]" accesskey="h"><span>استعراض التاريخ</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="أدوات الصفحة"> <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="علبة العده" > <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">علبة العده</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">أدوات</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">انقل للشريط الجانبي</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">أخف</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="المزيد من الخيارات" > <div class="vector-menu-heading"> إجراءات </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="vector-more-collapsible-item mw-list-item"><a href="/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math"><span>قرايه</span></a></li><li id="ca-more-edit" class="selected vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D9%88%D8%AD%D8%AF%D8%A9:Math&action=edit" title="عدل الكود المصدري لهذه الصفحة [e]" accesskey="e"><span>مصدر التعديل</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%D9%88%D8%AD%D8%AF%D8%A9:Math&action=history"><span>استعراض التاريخ</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> عام </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%D8%AE%D8%A7%D8%B5:%D8%A7%D9%8A%D9%87_%D8%A8%D9%8A%D9%88%D8%B5%D9%84_%D9%87%D9%86%D8%A7/%D9%88%D8%AD%D8%AF%D8%A9:Math" title="ليستة كل الصفح اللى بتوصل هنا [j]" accesskey="j"><span>ايه بيوصل هنا</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%D8%AE%D8%A7%D8%B5:%D8%A7%D8%AC%D8%AF%D8%AF_%D8%A7%D9%84%D8%AA%D8%BA%D9%8A%D9%8A%D8%B1%D8%A7%D8%AA_%D8%A7%D9%84%D9%84%D9%89_%D9%85%D8%B9%D9%85%D9%88%D9%84_%D9%84%D9%8A%D9%87%D8%A7_%D9%84%D9%8A%D9%86%D9%83/%D9%88%D8%AD%D8%AF%D8%A9:Math" rel="nofollow" title="اخر التغييرات فى صفح معمول ليها لينك من الصفحه دى [k]" accesskey="k"><span>تعديلات ليها علاقه</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=arz" title="ارفع فايلات (upload files) [u]" accesskey="u"><span>ارفع فايل (upload file)</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%D8%AE%D8%A7%D8%B5:%D8%B5%D9%81%D8%AD_%D9%85%D8%AE%D8%B5%D9%88%D8%B5%D9%87" title="ليستة كل الصفح المخصوصه [q]" accesskey="q"><span>صفح مخصوصه</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%D9%88%D8%AD%D8%AF%D8%A9:Math&action=info" title="المزيد من المعلومات عن هذه الصفحة"><span>معلومات عن الصفحه</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%D8%AE%D8%A7%D8%B5:%D8%AA%D9%82%D8%B5%D9%8A%D8%B1_%D8%A7%D9%84%D9%85%D8%B3%D8%A7%D8%B1&url=https%3A%2F%2Farz.wikipedia.org%2Fw%2Findex.php%3Ftitle%3D%25D9%2588%25D8%25AD%25D8%25AF%25D8%25A9%3AMath%26action%3Dedit"><span>احصل على مسار مختصر</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%D8%AE%D8%A7%D8%B5:QrCode&url=https%3A%2F%2Farz.wikipedia.org%2Fw%2Findex.php%3Ftitle%3D%25D9%2588%25D8%25AD%25D8%25AF%25D8%25A9%3AMath%26action%3Dedit"><span>تنزيل رمز الاستجابة السريعة</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"> مشاريع تانيه </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q7328853" title="الربط بعنصر مرتبط ف مستودع البيانات [g]" accesskey="g"><span>عنصر ويكيداتا</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="أدوات الصفحة"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="المظهر"> <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">المظهر</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">انقل للشريط الجانبي</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">أخف</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> <div id="contentSub"><div id="mw-content-subtitle">→ <a href="/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math" title="وحدة:Math">وحدة:Math</a></div></div> <div id="mw-content-text" class="mw-body-content"><p>أنت ما عندكش الصلاحيات علشان تعديل هذه الصفحة، للأسباب ده: </p> <ul class="permissions-errors"><li class="mw-permissionerror-cascadeprotected">الصفحة دى محمية من التعديل، بسبب انها مدمجة فى الصفحتين دي، اللى مستعمل فيها خاصية "حماية الصفحات المدمجة" : <ul><li><a href="/wiki/%D9%82%D8%A7%D9%84%D8%A8:%D9%85%D8%B9%D9%84%D9%88%D9%85%D8%A7%D8%AA_%D8%AC%D8%A7%D9%8A%D8%B2%D9%87" title="قالب:معلومات جايزه">قالب:معلومات جايزه</a></li></ul> </li><li class="mw-permissionerror-globalblocking-blockedtext-range"><b>Your IP address is in a range that has been <a href="https://meta.wikimedia.org/wiki/Special:MyLanguage/Global_blocks" class="extiw" title="m:Special:MyLanguage/Global blocks">blocked on all Wikimedia Foundation wikis</a>.</b> المنع أجراه <a href="/wiki/%D9%85%D8%B3%D8%AA%D8%AE%D8%AF%D9%85:Jon_Kolbert" title="مستخدم:Jon Kolbert">‪Jon Kolbert‬</a> السبب المعطى هو <i><a href="https://meta.wikimedia.org/wiki/Special:MyLanguage/NOP" class="extiw" title="m:Special:MyLanguage/NOP">Open proxy/Webhost</a>: See the <a href="https://meta.wikimedia.org/wiki/WM:OP/H" class="extiw" title="m:WM:OP/H">help page</a> if you are affected </i>. بداية المنع: 15:12، 27 اغسطس 2023 انتهاء المنع: 15:12، 27 اغسطس 2028 عنوان IP الحالي الخاص بك هو 8.222.208.146. النطاق المحظور هو 8.222.128.0/17 . يرجى تضمين جميع التفاصيل المذكورة أعلاه في أي استفسارات تقوم بها. إذا كنت تعتقد أنه تم حظرك عن طريق الخطأ، يمكنك العثور على معلومات وإرشادات إضافية في السياسة العامة [[m:Special:MyLanguage/No open proxies ||لا وكلاء مفتوحين|]]. خلاف ذلك، لمناقشة الحجب، يرجى <a href="https://meta.wikimedia.org/wiki/Steward_requests/Global" class="extiw" title="m:Steward requests/Global">نشر طلب للمراجعة على ميتا ويكي</a>. You could also send an email to the <a href="https://meta.wikimedia.org/wiki/Special:MyLanguage/Stewards" class="extiw" title="m:Special:MyLanguage/Stewards">stewards</a> <a href="https://meta.wikimedia.org/wiki/Special:MyLanguage/VRT" class="extiw" title="m:Special:MyLanguage/VRT">VRT</a> queue at <kbd>stewards@wikimedia.org</kbd> including all above details.</li></ul><hr /> <p>ممكن تشوف وتنسخ مصدر الصفحه دى </p><textarea readonly="" accesskey="," id="wpTextbox1" cols="80" rows="25" style="" class="mw-editfont-monospace" lang="en" dir="ltr" name="wpTextbox1">--[[ This module provides a number of basic mathematical operations. ]] local yesno, getArgs -- lazily initialized local p = {} -- Holds functions to be returned from #invoke, and functions to make available to other Lua modules. local wrap = {} -- Holds wrapper functions that process arguments from #invoke. These act as intemediary between functions meant for #invoke and functions meant for Lua. --[[ Helper functions used to avoid redundant code. ]] local function err(msg) -- Generates wikitext error messages. return mw.ustring.format('<strong class="error">Formatting error: %s</strong>', msg) end local function unpackNumberArgs(args) -- Returns an unpacked list of arguments specified with numerical keys. local ret = {} for k, v in pairs(args) do if type(k) == 'number' then table.insert(ret, v) end end return unpack(ret) end local function makeArgArray(...) -- Makes an array of arguments from a list of arguments that might include nils. local args = {...} -- Table of arguments. It might contain nils or non-number values, so we can't use ipairs. local nums = {} -- Stores the numbers of valid numerical arguments. local ret = {} for k, v in pairs(args) do v = p._cleanNumber(v) if v then nums[#nums + 1] = k args[k] = v end end table.sort(nums) for i, num in ipairs(nums) do ret[#ret + 1] = args[num] end return ret end local function fold(func, ...) -- Use a function on all supplied arguments, and return the result. The function must accept two numbers as parameters, -- and must return a number as an output. This number is then supplied as input to the next function call. local vals = makeArgArray(...) local count = #vals -- The number of valid arguments if count == 0 then return -- Exit if we have no valid args, otherwise removing the first arg would cause an error. nil, 0 end local ret = table.remove(vals, 1) for _, val in ipairs(vals) do ret = func(ret, val) end return ret, count end --[[ Fold arguments by selectively choosing values (func should return when to choose the current "dominant" value). ]] local function binary_fold(func, ...) local value = fold((function(a, b) if func(a, b) then return a else return b end end), ...) return value end --[[ random Generate a random number Usage: {{#invoke: Math | random }} {{#invoke: Math | random | maximum value }} {{#invoke: Math | random | minimum value | maximum value }} ]] function wrap.random(args) local first = p._cleanNumber(args[1]) local second = p._cleanNumber(args[2]) return p._random(first, second) end function p._random(first, second) math.randomseed(mw.site.stats.edits + mw.site.stats.pages + os.time() + math.floor(os.clock() * 1000000000)) -- math.random will throw an error if given an explicit nil parameter, so we need to use if statements to check the params. if first and second then if first <= second then -- math.random doesn't allow the first number to be greater than the second. return math.random(first, second) end elseif first then return math.random(first) else return math.random() end end --[[ order Determine order of magnitude of a number Usage: {{#invoke: Math | order | value }} ]] function wrap.order(args) local input_string = (args[1] or args.x or '0'); local input_number = p._cleanNumber(input_string); if input_number == nil then return err('order of magnitude input appears non-numeric') else return p._order(input_number) end end function p._order(x) if x == 0 then return 0 end return math.floor(math.log10(math.abs(x))) end --[[ precision Detemines the precision of a number using the string representation Usage: {{ #invoke: Math | precision | value }} ]] function wrap.precision(args) local input_string = (args[1] or args.x or '0'); local trap_fraction = args.check_fraction; local input_number; if not yesno then yesno = require('Module:Yesno') end if yesno(trap_fraction, true) then -- Returns true for all input except nil, false, "no", "n", "0" and a few others. See [[Module:Yesno]]. local pos = string.find(input_string, '/', 1, true); if pos ~= nil then if string.find(input_string, '/', pos + 1, true) == nil then local denominator = string.sub(input_string, pos+1, -1); local denom_value = tonumber(denominator); if denom_value ~= nil then return math.log10(denom_value); end end end end input_number, input_string = p._cleanNumber(input_string); if input_string == nil then return err('precision input appears non-numeric') else return p._precision(input_string) end end function p._precision(x) if type(x) == 'number' then x = tostring(x) end x = string.upper(x) local decimal = x:find('%.') local exponent_pos = x:find('E') local result = 0; if exponent_pos ~= nil then local exponent = string.sub(x, exponent_pos + 1) x = string.sub(x, 1, exponent_pos - 1) result = result - tonumber(exponent) end if decimal ~= nil then result = result + string.len(x) - decimal return result end local pos = string.len(x); while x:byte(pos) == string.byte('0') do pos = pos - 1 result = result - 1 if pos <= 0 then return 0 end end return result end --[[ max Finds the maximum argument Usage: {{#invoke:Math| max | value1 | value2 | ... }} Note, any values that do not evaluate to numbers are ignored. ]] function wrap.max(args) return p._max(unpackNumberArgs(args)) end function p._max(...) local max_value = binary_fold((function(a, b) return a > b end), ...) if max_value then return max_value end end --[[ median Find the median of set of numbers Usage: {{#invoke:Math | median | number1 | number2 | ...}} OR {{#invoke:Math | median }} ]] function wrap.median(args) return p._median(unpackNumberArgs(args)) end function p._median(...) local vals = makeArgArray(...) local count = #vals table.sort(vals) if count == 0 then return 0 end if p._mod(count, 2) == 0 then return (vals[count/2] + vals[count/2+1])/2 else return vals[math.ceil(count/2)] end end --[[ min Finds the minimum argument Usage: {{#invoke:Math| min | value1 | value2 | ... }} OR {{#invoke:Math| min }} When used with no arguments, it takes its input from the parent frame. Note, any values that do not evaluate to numbers are ignored. ]] function wrap.min(args) return p._min(unpackNumberArgs(args)) end function p._min(...) local min_value = binary_fold((function(a, b) return a < b end), ...) if min_value then return min_value end end --[[ sum Finds the sum Usage: {{#invoke:Math| sum | value1 | value2 | ... }} OR {{#invoke:Math| sum }} Note, any values that do not evaluate to numbers are ignored. ]] function wrap.sum(args) return p._sum(unpackNumberArgs(args)) end function p._sum(...) local sums, count = fold((function(a, b) return a + b end), ...) if not sums then return 0 else return sums end end --[[ average Finds the average Usage: {{#invoke:Math| average | value1 | value2 | ... }} OR {{#invoke:Math| average }} Note, any values that do not evaluate to numbers are ignored. ]] function wrap.average(args) return p._average(unpackNumberArgs(args)) end function p._average(...) local sum, count = fold((function(a, b) return a + b end), ...) if not sum then return 0 else return sum / count end end --[[ round Rounds a number to specified precision Usage: {{#invoke:Math | round | value | precision }} --]] function wrap.round(args) local value = p._cleanNumber(args[1] or args.value or 0) local precision = p._cleanNumber(args[2] or args.precision or 0) if value == nil or precision == nil then return err('round input appears non-numeric') else return p._round(value, precision) end end function p._round(value, precision) local rescale = math.pow(10, precision or 0); return math.floor(value * rescale + 0.5) / rescale; end --[[ log10 returns the log (base 10) of a number Usage: {{#invoke:Math | log10 | x }} ]] function wrap.log10(args) return math.log10(args[1]) end --[[ mod Implements the modulo operator Usage: {{#invoke:Math | mod | x | y }} --]] function wrap.mod(args) local x = p._cleanNumber(args[1]) local y = p._cleanNumber(args[2]) if not x then return err('first argument to mod appears non-numeric') elseif not y then return err('second argument to mod appears non-numeric') else return p._mod(x, y) end end function p._mod(x, y) local ret = x % y if not (0 <= ret and ret < y) then ret = 0 end return ret end --[[ gcd Calculates the greatest common divisor of multiple numbers Usage: {{#invoke:Math | gcd | value 1 | value 2 | value 3 | ... }} --]] function wrap.gcd(args) return p._gcd(unpackNumberArgs(args)) end function p._gcd(...) local function findGcd(a, b) local r = b local oldr = a while r ~= 0 do local quotient = math.floor(oldr / r) oldr, r = r, oldr - quotient * r end if oldr < 0 then oldr = oldr * -1 end return oldr end local result, count = fold(findGcd, ...) return result end --[[ precision_format Rounds a number to the specified precision and formats according to rules originally used for {{template:Rnd}}. Output is a string. Usage: {{#invoke: Math | precision_format | number | precision }} ]] function wrap.precision_format(args) local value_string = args[1] or 0 local precision = args[2] or 0 return p._precision_format(value_string, precision) end function p._precision_format(value_string, precision) -- For access to Mediawiki built-in formatter. local lang = mw.getContentLanguage(); local value value, value_string = p._cleanNumber(value_string) precision = p._cleanNumber(precision) -- Check for non-numeric input if value == nil or precision == nil then return err('invalid input when rounding') end local current_precision = p._precision(value) local order = p._order(value) -- Due to round-off effects it is neccesary to limit the returned precision under -- some circumstances because the terminal digits will be inaccurately reported. if order + precision >= 14 then if order + p._precision(value_string) >= 14 then precision = 13 - order; end end -- If rounding off, truncate extra digits if precision < current_precision then value = p._round(value, precision) current_precision = p._precision(value) end local formatted_num = lang:formatNum(math.abs(value)) local sign -- Use proper unary minus sign rather than ASCII default if value < 0 then sign = '−' else sign = '' end -- Handle cases requiring scientific notation if string.find(formatted_num, 'E', 1, true) ~= nil or math.abs(order) >= 9 then value = value * math.pow(10, -order) current_precision = current_precision + order precision = precision + order formatted_num = lang:formatNum(math.abs(value)) else order = 0; end formatted_num = sign .. formatted_num -- Pad with zeros, if needed if current_precision < precision then local padding if current_precision <= 0 then if precision > 0 then local zero_sep = lang:formatNum(1.1) formatted_num = formatted_num .. zero_sep:sub(2,2) padding = precision if padding > 20 then padding = 20 end formatted_num = formatted_num .. string.rep('0', padding) end else padding = precision - current_precision if padding > 20 then padding = 20 end formatted_num = formatted_num .. string.rep('0', padding) end end -- Add exponential notation, if necessary. if order ~= 0 then -- Use proper unary minus sign rather than ASCII default if order < 0 then order = '−' .. lang:formatNum(math.abs(order)) else order = lang:formatNum(order) end formatted_num = formatted_num .. '<span style="margin:0 .15em 0 .25em">×</span>10<sup>' .. order .. '</sup>' end return formatted_num end --[[ divide Implements the division operator Usage: {{#invoke:Math | divide | x | y | round= | precision= }} --]] function wrap.divide(args) local x = args[1] local y = args[2] local round = args.round local precision = args.precision if not yesno then yesno = require('Module:Yesno') end return p._divide(x, y, yesno(round), precision) end function p._divide(x, y, round, precision) if y == nil or y == "" then return err("Empty divisor") elseif not tonumber(y) then if type(y) == 'string' and string.sub(y, 1, 1) == '<' then return y else return err("Not a number: " .. y) end elseif x == nil or x == "" then return err("Empty dividend") elseif not tonumber(x) then if type(x) == 'string' and string.sub(x, 1, 1) == '<' then return x else return err("Not a number: " .. x) end else local z = x / y if round then return p._round(z, 0) elseif precision then return p._round(z, precision) else return z end end end --[[ Helper function that interprets the input numerically. If the input does not appear to be a number, attempts evaluating it as a parser functions expression. ]] function p._cleanNumber(number_string) if type(number_string) == 'number' then -- We were passed a number, so we don't need to do any processing. return number_string, tostring(number_string) elseif type(number_string) ~= 'string' or not number_string:find('%S') then -- We were passed a non-string or a blank string, so exit. return nil, nil; end -- Attempt basic conversion local number = tonumber(number_string) -- If failed, attempt to evaluate input as an expression if number == nil then local success, result = pcall(mw.ext.ParserFunctions.expr, number_string) if success then number = tonumber(result) number_string = tostring(number) else number = nil number_string = nil end else number_string = number_string:match("^%s*(.-)%s*$") -- String is valid but may contain padding, clean it. number_string = number_string:match("^%+(.*)$") or number_string -- Trim any leading + signs. if number_string:find('^%-?0[xX]') then -- Number is using 0xnnn notation to indicate base 16; use the number that Lua detected instead. number_string = tostring(number) end end return number, number_string end --[[ Wrapper function that does basic argument processing. This ensures that all functions from #invoke can use either the current frame or the parent frame, and it also trims whitespace for all arguments and removes blank arguments. ]] local mt = { __index = function(t, k) return function(frame) if not getArgs then getArgs = require('Module:Arguments').getArgs end return wrap[k](getArgs(frame)) -- Argument processing is left to Module:Arguments. Whitespace is trimmed and blank arguments are removed. end end } return setmetatable(p, mt) </textarea><div id="mw-scribunto-console"></div><div class="templatesUsed"><div class="mw-templatesUsedExplanation"><p>القوالب المستعمله ف الصفحه دى: </p></div><ul> <li><a href="/w/index.php?title=%D9%88%D8%AD%D8%AF%D8%A9:Math/%D8%B4%D8%B1%D8%AD&action=edit&redlink=1" class="new" title="وحدة:Math/شرح (الصفحه مالهاش وجود)">وحدة:Math/شرح</a> (<a href="/w/index.php?title=%D9%88%D8%AD%D8%AF%D8%A9:Math/%D8%B4%D8%B1%D8%AD&action=edit" class="new" title="وحدة:Math/شرح (الصفحه مالهاش وجود)">عدل</a>) </li></ul></div><p id="mw-returnto">ارجع ل <a href="/wiki/%D9%88%D8%AD%D8%AF%D8%A9:Math" title="وحدة:Math">وحدة:Math</a>.</p> <noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">اتجابت من "<a dir="ltr" href="https://arz.wikipedia.org/wiki/وحدة:Math">https://arz.wikipedia.org/wiki/وحدة:Math</a>"</div></div> <div id="catlinks" class="catlinks catlinks-allhidden" data-mw="interface"></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy/ar">بوليسة الخصوصيه</a></li> <li id="footer-places-about"><a href="/wiki/%D9%88%D9%8A%D9%83%D9%8A%D8%A8%D9%8A%D8%AF%D9%8A%D8%A7:%D9%85%D8%B9%D9%84%D9%88%D9%85%D8%A7%D8%AA_%D8%B9%D9%86">عن ويكيبيديا</a></li> <li id="footer-places-disclaimers"><a href="/wiki/%D9%88%D9%8A%D9%83%D9%8A%D8%A8%D9%8A%D8%AF%D9%8A%D8%A7:%D8%AA%D9%86%D8%A7%D8%B2%D9%84_%D8%B9%D9%86_%D9%85%D8%B3%D8%A6%D9%88%D9%84%D9%8A%D9%87_%D8%B9%D9%85%D9%88%D9%85%D9%89">تنازل عن مسئوليه</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">القواعد السلوكية</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">مطورين</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/arz.wikipedia.org">احصائيات</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">بيان الكوكيز</a></li> <li id="footer-places-mobileview"><a href="//arz.m.wikipedia.org/w/index.php?title=%D9%88%D8%AD%D8%AF%D8%A9:Math&action=edit&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">نسخة المحمول</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-7fc47fc68d-mbbx4","wgBackendResponseTime":220,"wgPageParseReport":{"limitreport":{"cputime":"0.007","walltime":"0.011","ppvisitednodes":{"value":22,"limit":1000000},"postexpandincludesize":{"value":901,"limit":2097152},"templateargumentsize":{"value":0,"limit":2097152},"expansiondepth":{"value":2,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":0,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 0.000 1 -total"]},"cachereport":{"origin":"mw-web.codfw.main-7fc47fc68d-mbbx4","timestamp":"20241128162959","ttl":2592000,"transientcontent":false}}});});</script> </body> </html>