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<div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Ana menü" > <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">Ana menü</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">Ana menü</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">kenar çubuğuna taşı</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">gizle</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Gezinti </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Anasayfa" title="Anasayfayı ziyaret et [z]" accesskey="z"><span>Anasayfa</span></a></li><li id="n-Hakkımızda" class="mw-list-item"><a href="/wiki/Vikipedi:Hakk%C4%B1nda"><span>Hakkımızda</span></a></li><li id="n-İçindekiler" class="mw-list-item"><a href="/wiki/Vikipedi:G%C3%B6z_at"><span>İçindekiler</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%C3%96zel:Rastgele" title="Rastgele bir sayfaya gidin [x]" accesskey="x"><span>Rastgele madde</span></a></li><li id="n-Seçkin-içerik" class="mw-list-item"><a href="/wiki/Vikipedi:Se%C3%A7kin_i%C3%A7erik"><span>Seçkin içerik</span></a></li><li id="n-Yakınımdakiler" class="mw-list-item"><a href="/wiki/%C3%96zel:Yak%C4%B1n%C4%B1mdakiler"><span>Yakınımdakiler</span></a></li> </ul> </div> </div> <div id="p-Katılım" class="vector-menu mw-portlet mw-portlet-Katılım" > <div class="vector-menu-heading"> Katılım </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-sandbox" class="mw-list-item"><a href="/wiki/Vikipedi:Deneme_tahtas%C4%B1"><span>Deneme tahtası</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Vikipedi:K%C3%B6y_%C3%A7e%C5%9Fmesi" title="Güncel olaylarla ilgili son bilgiler"><span>Köy çeşmesi</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%C3%96zel:SonDe%C4%9Fi%C5%9Fiklikler" title="Vikide yapılmış son değişikliklerin listesi [r]" accesskey="r"><span>Son değişiklikler</span></a></li><li id="n-upload" class="mw-list-item"><a href="/wiki/Vikipedi:Y%C3%BCkle"><span>Dosya yükle</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Vikipedi:Topluluk_portali" title="Proje hakkında, neler yapabilirsiniz, ne nerededir"><span>Topluluk portali</span></a></li><li id="n-shop-text" class="mw-list-item"><a href="//shop.wikimedia.org"><span>Wikimedia dükkânı</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Yard%C4%B1m:%C4%B0%C3%A7indekiler" title="Yardım almak için"><span>Yardım</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Anasayfa" 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="Vikipedi" src="/static/images/mobile/copyright/wikipedia-wordmark-tr.svg" style="width: 6.6875em; height: 1.125em;"> <img class="mw-logo-tagline" alt="Özgür Ansiklopedi" src="/static/images/mobile/copyright/wikipedia-tagline-tr.svg" width="104" height="13" style="width: 6.5em; 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/%C3%96zel:Ara" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Vikipedi içinde ara [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Ara</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="Vikipedi üzerinde ara" aria-label="Vikipedi üzerinde ara" autocapitalize="sentences" title="Vikipedi içinde ara [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Özel:Ara"> </div> <button class="cdx-button cdx-search-input__end-button">Ara</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Kişisel araçlar"> <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="Görünüm"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Sayfanın yazı tipi boyutunun, genişliğinin ve renginin görünümünü değiştirin" > <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="Görünüm" > <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">Görünüm</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_tr.wikipedia.org&uselang=tr" class=""><span>Bağış yapın</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=%C3%96zel:HesapOlu%C5%9Ftur&returnto=Katsay%C4%B1" title="Bir hesap oluşturup oturum açmanız tavsiye edilmektedir ancak bu zorunlu değildir" class=""><span>Hesap oluştur</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=%C3%96zel:Kullan%C4%B1c%C4%B1OturumuA%C3%A7ma&returnto=Katsay%C4%B1" title="Oturum açmanız tavsiye edilmektedir; ancak bu zorunlu değildir [o]" accesskey="o" class=""><span>Oturum aç</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="Daha fazla seçenek" > <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="Kişisel araçlar" > <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">Kişisel araçlar</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Kullanıcı menüsü" > <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_tr.wikipedia.org&uselang=tr"><span>Bağış yapın</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%C3%96zel:HesapOlu%C5%9Ftur&returnto=Katsay%C4%B1" title="Bir hesap oluşturup oturum açmanız tavsiye edilmektedir ancak bu zorunlu değildir"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Hesap oluştur</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%C3%96zel:Kullan%C4%B1c%C4%B1OturumuA%C3%A7ma&returnto=Katsay%C4%B1" title="Oturum açmanız tavsiye edilmektedir; ancak bu zorunlu değildir [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Oturum aç</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"> Çıkış yapmış editörler için sayfalar <a href="/wiki/Yard%C4%B1m:Giri%C5%9F" aria-label="Değişiklik yapma hakkında daha fazla bilgi edinin"><span>daha fazla bilgi</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%C3%96zel:Katk%C4%B1lar%C4%B1m" title="Bu IP adresinden yapılmış değişiklikler listesi [y]" accesskey="y"><span>Katkılar</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%C3%96zel:MesajSayfam" title="Bu IP adresindeki düzenlemeler hakkında tartışma [n]" accesskey="n"><span>Mesaj</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="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="İçindekiler" 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">İçindekiler</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">kenar çubuğuna taşı</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">gizle</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">Giriş</div> </a> </li> <li id="toc-Doğrusal_cebir" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Doğrusal_cebir"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Doğrusal cebir</span> </div> </a> <ul id="toc-Doğrusal_cebir-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fiziksel_katsayılara_örnekler" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Fiziksel_katsayılara_örnekler"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Fiziksel katsayılara örnekler</span> </div> </a> <ul id="toc-Fiziksel_katsayılara_örnekler-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="İçindekiler" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="İçindekiler tablosunu değiştir" > <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">İçindekiler tablosunu değiştir</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">Katsayı</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="Başka bir dildeki sayfaya gidin. 60 dilde mevcut" > <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-60" 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">60 dil</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%B9%D8%A7%D9%85%D9%84" title="معامل - Arapça" lang="ar" hreflang="ar" data-title="معامل" data-language-autonym="العربية" data-language-local-name="Arapça" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C6%8Fmsal" title="Əmsal - Azerbaycan dili" lang="az" hreflang="az" data-title="Əmsal" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaycan dili" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9A%D0%BE%D0%B5%D1%84%D0%B8%D1%86%D0%B8%D0%B5%D0%BD%D1%82" title="Коефициент - Bulgarca" lang="bg" hreflang="bg" data-title="Коефициент" data-language-autonym="Български" data-language-local-name="Bulgarca" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Coeficient" title="Coeficient - Katalanca" lang="ca" hreflang="ca" data-title="Coeficient" data-language-autonym="Català" data-language-local-name="Katalanca" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/Coeficiente_(matematica)" title="Coeficiente (matematica) - Chavacano" lang="cbk" hreflang="cbk" data-title="Coeficiente (matematica)" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target"><span>Chavacano de Zamboanga</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Koeficient" title="Koeficient - Çekçe" lang="cs" hreflang="cs" data-title="Koeficient" data-language-autonym="Čeština" data-language-local-name="Çekçe" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9A%D0%BE%D1%8D%D1%84%D1%84%D0%B8%D1%86%D0%B8%D0%B5%D0%BD%D1%82" title="Коэффициент - Çuvaşça" lang="cv" hreflang="cv" data-title="Коэффициент" data-language-autonym="Чӑвашла" data-language-local-name="Çuvaşça" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Cyfernod" title="Cyfernod - Galce" lang="cy" hreflang="cy" data-title="Cyfernod" data-language-autonym="Cymraeg" data-language-local-name="Galce" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Koefficient" title="Koefficient - Danca" lang="da" hreflang="da" data-title="Koefficient" data-language-autonym="Dansk" data-language-local-name="Danca" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Koeffizient" title="Koeffizient - Almanca" lang="de" hreflang="de" data-title="Koeffizient" data-language-autonym="Deutsch" data-language-local-name="Almanca" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A3%CF%85%CE%BD%CF%84%CE%B5%CE%BB%CE%B5%CF%83%CF%84%CE%AE%CF%82" title="Συντελεστής - Yunanca" lang="el" hreflang="el" data-title="Συντελεστής" data-language-autonym="Ελληνικά" data-language-local-name="Yunanca" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Coefficient" title="Coefficient - İngilizce" lang="en" hreflang="en" data-title="Coefficient" data-language-autonym="English" data-language-local-name="İngilizce" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Koeficiento" title="Koeficiento - Esperanto" lang="eo" hreflang="eo" data-title="Koeficiento" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Coeficiente_(matem%C3%A1tica)" title="Coeficiente (matemática) - İspanyolca" lang="es" hreflang="es" data-title="Coeficiente (matemática)" data-language-autonym="Español" data-language-local-name="İspanyolca" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Kordaja" title="Kordaja - Estonca" lang="et" hreflang="et" data-title="Kordaja" data-language-autonym="Eesti" data-language-local-name="Estonca" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Koefiziente_(matematika)" title="Koefiziente (matematika) - Baskça" lang="eu" hreflang="eu" data-title="Koefiziente (matematika)" data-language-autonym="Euskara" data-language-local-name="Baskça" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B6%D8%B1%DB%8C%D8%A8" title="ضریب - Farsça" lang="fa" hreflang="fa" data-title="ضریب" data-language-autonym="فارسی" data-language-local-name="Farsça" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Kerroin" title="Kerroin - Fince" lang="fi" hreflang="fi" data-title="Kerroin" data-language-autonym="Suomi" data-language-local-name="Fince" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Coefficient" title="Coefficient - Fransızca" lang="fr" hreflang="fr" data-title="Coefficient" data-language-autonym="Français" data-language-local-name="Fransızca" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Comh%C3%A9ifeacht" title="Comhéifeacht - İrlandaca" lang="ga" hreflang="ga" data-title="Comhéifeacht" data-language-autonym="Gaeilge" data-language-local-name="İrlandaca" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Coeficiente" title="Coeficiente - Galiçyaca" lang="gl" hreflang="gl" data-title="Coeficiente" data-language-autonym="Galego" data-language-local-name="Galiçyaca" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A7%D7%93%D7%9D_(%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94)" title="מקדם (מתמטיקה) - İbranice" lang="he" hreflang="he" data-title="מקדם (מתמטיקה)" data-language-autonym="עברית" data-language-local-name="İbranice" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Koeficijent" title="Koeficijent - Hırvatça" lang="hr" hreflang="hr" data-title="Koeficijent" data-language-autonym="Hrvatski" data-language-local-name="Hırvatça" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Koyefisyan" title="Koyefisyan - Haiti Kreyolu" lang="ht" hreflang="ht" data-title="Koyefisyan" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haiti Kreyolu" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Egy%C3%BCtthat%C3%B3" title="Együttható - Macarca" lang="hu" hreflang="hu" data-title="Együttható" data-language-autonym="Magyar" data-language-local-name="Macarca" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B3%D5%B8%D6%80%D5%AE%D5%A1%D5%AF%D5%AB%D6%81%D5%B6%D5%A5%D6%80" title="Գործակիցներ - Ermenice" lang="hy" hreflang="hy" data-title="Գործակիցներ" data-language-autonym="Հայերեն" data-language-local-name="Ermenice" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Koefisien" title="Koefisien - Endonezce" lang="id" hreflang="id" data-title="Koefisien" data-language-autonym="Bahasa Indonesia" data-language-local-name="Endonezce" 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/Koeficiento" title="Koeficiento - Ido" lang="io" hreflang="io" data-title="Koeficiento" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Stu%C3%B0ull_(st%C3%A6r%C3%B0fr%C3%A6%C3%B0i)" title="Stuðull (stærðfræði) - İzlandaca" lang="is" hreflang="is" data-title="Stuðull (stærðfræði)" data-language-autonym="Íslenska" data-language-local-name="İzlandaca" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Coefficiente" title="Coefficiente - İtalyanca" lang="it" hreflang="it" data-title="Coefficiente" data-language-autonym="İtaliano" data-language-local-name="İtalyanca" class="interlanguage-link-target"><span>İtaliano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%BF%82%E6%95%B0" title="係数 - Japonca" lang="ja" hreflang="ja" data-title="係数" data-language-autonym="日本語" data-language-local-name="Japonca" 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%9A%D0%BE%D1%8D%D1%84%D1%84%D0%B8%D1%86%D0%B8%D0%B5%D0%BD%D1%82" title="Коэффициент - Kazakça" lang="kk" hreflang="kk" data-title="Коэффициент" data-language-autonym="Қазақша" data-language-local-name="Kazakça" 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/%EA%B3%84%EC%88%98" title="계수 - Korece" lang="ko" hreflang="ko" data-title="계수" data-language-autonym="한국어" data-language-local-name="Korece" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9A%D0%BE%D1%8D%D1%84%D1%84%D0%B8%D1%86%D0%B8%D0%B5%D0%BD%D1%82" title="Коэффициент - Kırgızca" lang="ky" hreflang="ky" data-title="Коэффициент" data-language-autonym="Кыргызча" data-language-local-name="Kırgızca" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%97%E0%B5%81%E0%B4%A3%E0%B4%BE%E0%B4%99%E0%B5%8D%E0%B4%95%E0%B4%82" title="ഗുണാങ്കം - Malayalam dili" lang="ml" hreflang="ml" data-title="ഗുണാങ്കം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam dili" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Pekali" title="Pekali - Malayca" lang="ms" hreflang="ms" data-title="Pekali" data-language-autonym="Bahasa Melayu" data-language-local-name="Malayca" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%97%E0%A5%81%E0%A4%A3%E0%A4%BE%E0%A4%99%E0%A5%8D%E0%A4%95" title="गुणाङ्क - Nevari" lang="new" hreflang="new" data-title="गुणाङ्क" data-language-autonym="नेपाल भाषा" data-language-local-name="Nevari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Co%C3%ABffici%C3%ABnt" title="Coëfficiënt - Felemenkçe" lang="nl" hreflang="nl" data-title="Coëfficiënt" data-language-autonym="Nederlands" data-language-local-name="Felemenkçe" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Koeffisient" title="Koeffisient - Norveççe Nynorsk" lang="nn" hreflang="nn" data-title="Koeffisient" data-language-autonym="Norsk nynorsk" data-language-local-name="Norveççe Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Koeffisient" title="Koeffisient - Norveççe Bokmål" lang="nb" hreflang="nb" data-title="Koeffisient" data-language-autonym="Norsk bokmål" data-language-local-name="Norveççe Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%97%E0%A9%81%E0%A8%A3%E0%A8%BE%E0%A8%82%E0%A8%95" title="ਗੁਣਾਂਕ - Pencapça" lang="pa" hreflang="pa" data-title="ਗੁਣਾਂਕ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Pencapça" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Coeficiente" title="Coeficiente - Portekizce" lang="pt" hreflang="pt" data-title="Coeficiente" data-language-autonym="Português" data-language-local-name="Portekizce" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Coeficient" title="Coeficient - Rumence" lang="ro" hreflang="ro" data-title="Coeficient" data-language-autonym="Română" data-language-local-name="Rumence" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9A%D0%BE%D1%8D%D1%84%D1%84%D0%B8%D1%86%D0%B8%D0%B5%D0%BD%D1%82" title="Коэффициент - Rusça" lang="ru" hreflang="ru" data-title="Коэффициент" data-language-autonym="Русский" data-language-local-name="Rusça" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%DA%B3%DA%BB%DA%AA" title="ڳڻڪ - Sindhi dili" lang="sd" hreflang="sd" data-title="ڳڻڪ" data-language-autonym="سنڌي" data-language-local-name="Sindhi dili" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Coefficient" title="Coefficient - Simple English" lang="en-simple" hreflang="en-simple" data-title="Coefficient" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Matematick%C3%BD_koeficient" title="Matematický koeficient - Slovakça" lang="sk" hreflang="sk" data-title="Matematický koeficient" data-language-autonym="Slovenčina" data-language-local-name="Slovakça" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Koeficient" title="Koeficient - Slovence" lang="sl" hreflang="sl" data-title="Koeficient" data-language-autonym="Slovenščina" data-language-local-name="Slovence" 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/Koeficienti" title="Koeficienti - Arnavutça" lang="sq" hreflang="sq" data-title="Koeficienti" data-language-autonym="Shqip" data-language-local-name="Arnavutça" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D0%BE%D0%B5%D1%84%D0%B8%D1%86%D0%B8%D1%98%D0%B5%D0%BD%D1%82" title="Коефицијент - Sırpça" lang="sr" hreflang="sr" data-title="Коефицијент" data-language-autonym="Српски / srpski" data-language-local-name="Sırpça" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Koefficient" title="Koefficient - İsveççe" lang="sv" hreflang="sv" data-title="Koefficient" data-language-autonym="Svenska" data-language-local-name="İsveççe" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AF%86%E0%AE%B4%E0%AF%81" title="கெழு - Tamilce" lang="ta" 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Kaynaksız içerik itiraz konusu olabilir ve <a href="/wiki/Vikipedi:Do%C4%9Frulanabilirlik#Kanıt_sorumluluğu" title="Vikipedi:Doğrulanabilirlik">kaldırılabilir</a>.<br /><small><span class="plainlinks"><i>Kaynak ara:</i> <a rel="nofollow" class="external text" href="//www.google.com/search?as_eq=wikipedia&q=%22Katsay%C4%B1%22">"Katsayı"</a> – <a rel="nofollow" class="external text" href="//www.google.com/search?tbm=nws&q=%22Katsay%C4%B1%22+-wikipedia">haber</a> · <a rel="nofollow" class="external text" href="//www.google.com/search?&q=%22Katsay%C4%B1%22+site:news.google.com/newspapers&source=newspapers">gazete</a> · <a rel="nofollow" class="external text" href="//www.google.com/search?tbs=bks:1&q=%22Katsay%C4%B1%22+-wikipedia">kitap</a> · <a rel="nofollow" class="external text" href="//scholar.google.com/scholar?q=%22Katsay%C4%B1%22">akademik</a> · <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22Katsay%C4%B1%22&acc=on&wc=on">JSTOR</a></span></small></span> <small class="date-container"><i>(<span class="date">Temmuz 2024</span>)</i></small><small class="hide-when-compact"><i> (<a href="/wiki/Yard%C4%B1m:Bak%C4%B1m_%C5%9Fablonunu_kald%C4%B1rmak" title="Yardım:Bakım şablonunu kaldırmak">Bu şablonun nasıl ve ne zaman kaldırılması gerektiğini öğrenin</a>)</i></small></div></td></tr></tbody></table> <p><a href="/wiki/Matematik" title="Matematik">Matematikte</a> <b>katsayı</b>, <a href="/wiki/Polinom" title="Polinom">polinomun</a> bazı terimlerinde, herhangi bir <a href="/wiki/%C4%B0fade_(matematik)" title="İfade (matematik)">ifadenin</a> bir serisindeki çarpma faktörüdür. Genellikle bir sayıdır fakat ifadede herhangi bir <a href="/wiki/De%C4%9Fi%C5%9Fken" class="mw-disambig" title="Değişken">değişken</a> de olabilir. Örneğin; </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 7x^{2}-3xy+1,5+y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>7</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mn>3</mn> <mi>x</mi> <mi>y</mi> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mn>5</mn> <mo>+</mo> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 7x^{2}-3xy+1,5+y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7a08bf6b696e62877ae2c222e3470a552f55166b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:20.23ex; height:3.009ex;" alt="{\displaystyle 7x^{2}-3xy+1,5+y}"></span></dd></dl> <p>polinomunda ilk iki terimin katsayıları sırasıyla 7 ve -3'tür. Üçüncü terim 1,5, bir <a href="/wiki/Sabit" title="Sabit">sabittir</a>. Son terimde belirgin bir katsayı yoktur fakat katsayısının 1 olduğu varsayılır. Yukarıdaki örnekte de görüldüğü gibi katsayılar genellikle sayılardan oluşur bunun yanı sıra aşağıdaki örnekte de görüldüğü gibi <i>a</i>, <i>b</i>, <i>c</i> gibi parametrelerden de oluşabilir. Burada <i>c</i> bir sabittir. </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 ax^{2}+bx+c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi>b</mi> <mi>x</mi> <mo>+</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle ax^{2}+bx+c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/126c6935d3dd9f1c1da0c388ca2799be4f6f237c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:12.629ex; height:2.843ex;" alt="{\displaystyle ax^{2}+bx+c}"></span></dd></dl> <p><i>x</i> değişkenine sahip bir <a href="/wiki/Polinom" title="Polinom">polinom</a> şöyle yazılabilir: </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 a_{k}x^{k}+\dotsb +a_{1}x^{1}+a_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msub> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{k}x^{k}+\dotsb +a_{1}x^{1}+a_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e3861507f462f1ac93745c278f2bcdebdd657c41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:22.933ex; height:3.009ex;" alt="{\displaystyle a_{k}x^{k}+\dotsb +a_{1}x^{1}+a_{0}}"></span></dd></dl> <p>Bazı <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 k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.211ex; height:2.176ex;" alt="{\displaystyle k}"></span> <a href="/wiki/Tam_say%C4%B1" title="Tam sayı">tam sayıları</a> için, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a_{k},\dotsc ,a_{1},a_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msub> <mo>,</mo> <mo>…</mo> <mo>,</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{k},\dotsc ,a_{1},a_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/49e5efe5699f571ef1b1ddbba69583e960c2c355" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:13.099ex; height:2.009ex;" alt="{\displaystyle a_{k},\dotsc ,a_{1},a_{0}}"></span> katsayılardır. Bu tür ifadelerde tüm durumlarda terimlerden biri 0 katsayısına sahip olmalıdır. En büyük <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle i}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>i</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle i}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/add78d8608ad86e54951b8c8bd6c8d8416533d20" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.802ex; height:2.176ex;" alt="{\displaystyle i}"></span> için <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a_{i}\neq 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>≠</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{i}\neq 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d66efc850e79e220d4f51bc2a2333af3d7325180" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.29ex; height:2.676ex;" alt="{\displaystyle a_{i}\neq 0}"></span> oluyorsa <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0bc77764b2e74e64a63341054fa90f3e07db275f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.029ex; height:2.009ex;" alt="{\displaystyle a_{i}}"></span> polinomun <b>en büyük katsayısı</b> olarak adlandırılır. Örneğin; </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 \,4x^{5}+x^{3}+2x^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mspace width="thinmathspace" /> <mn>4</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>5</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>+</mo> <mn>2</mn> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \,4x^{5}+x^{3}+2x^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15b20c532277fcb1f2775851cef360b0b1fa31bf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:15.545ex; height:2.843ex;" alt="{\displaystyle \,4x^{5}+x^{3}+2x^{2}}"></span></dd></dl> <p>polinomunun en büyük katsayısı 4'tür. </p><p><a href="/w/index.php?title=Binom_katsay%C4%B1s%C4%B1&action=edit&redlink=1" class="new" title="Binom katsayısı (sayfa mevcut değil)">Binom katsayılarından</a> oluşan <a href="/wiki/Binom_a%C3%A7%C4%B1l%C4%B1m%C4%B1" title="Binom açılımı">binom açılımı</a> gibi özel katsayılar matematikte kullanılır. Bunlar özellikle <a href="/wiki/Pascal_%C3%BC%C3%A7geni" title="Pascal üçgeni">pascal üçgeninde</a> dizilmiştir. </p> <div class="mw-heading mw-heading2"><h2 id="Doğrusal_cebir"><span id="Do.C4.9Frusal_cebir"></span>Doğrusal cebir</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Katsay%C4%B1&veaction=edit&section=1" title="Değiştirilen bölüm: Doğrusal cebir" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Katsay%C4%B1&action=edit&section=1" title="Bölümün kaynak kodunu değiştir: Doğrusal cebir"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Do%C4%9Frusal_cebir" class="mw-redirect" title="Doğrusal cebir">Doğrusal cebirde</a>, <a href="/wiki/Matris_(matematik)" title="Matris (matematik)">matristeki</a> bir satırda bulunan ve sıfırdan farklı olan ilk elemana o satırın <b>en büyük katsayısı</b> denir. Örneğin; </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 M={\begin{pmatrix}1&2&0&6\\0&2&9&4\\0&0&0&4\\0&0&0&0\\\end{pmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>(</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>6</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>2</mn> </mtd> <mtd> <mn>9</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> </mtable> <mo>)</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M={\begin{pmatrix}1&2&0&6\\0&2&9&4\\0&0&0&4\\0&0&0&0\\\end{pmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/004b91cbe95255c71c0a0214e9578087218ede61" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -5.671ex; width:21.977ex; height:12.509ex;" alt="{\displaystyle M={\begin{pmatrix}1&2&0&6\\0&2&9&4\\0&0&0&4\\0&0&0&0\\\end{pmatrix}}}"></span>.</dd></dl> <p>matrisinde birinci satırın en büyük katsayısı, 1; ikinci satırın en büyük katsayısı, 2; üçüncü satırın en büyük katsayısı, 4'tür. Son satırda en büyük katsayı yoktur çünkü tüm elemanları <i>0'</i>dan oluşmuştur. </p><p><a href="/wiki/Temel_cebir" title="Temel cebir">Temel cebirde</a> katsayılar çoğunlukla bir sabitten oluşur. Nadiren değişken olurlar. Örneğin, vektör uzayındaki <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_{1},x_{2},\dotsc ,x_{n})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo>…</mo> <mo>,</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (x_{1},x_{2},\dotsc ,x_{n})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a902bf77c7a2c796e751a25fc09da30fe80815a9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.337ex; height:2.843ex;" alt="{\displaystyle (x_{1},x_{2},\dotsc ,x_{n})}"></span> <a href="/wiki/Koordinat_sistemi" title="Koordinat sistemi">koordinatlarına</a> sahip bir <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 v}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e07b00e7fc0847fbd16391c778d65bc25c452597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.128ex; height:1.676ex;" alt="{\displaystyle v}"></span> <a href="/wiki/Vekt%C3%B6r" title="Vektör">vektörünün</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 \lbrace e_{1},e_{2},\dotsc ,e_{n}\rbrace }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false">{</mo> <msub> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo>…</mo> <mo>,</mo> <msub> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lbrace e_{1},e_{2},\dotsc ,e_{n}\rbrace }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6e7f3b07afbcbbd389d1cb3042c580585dd30c02" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.114ex; height:2.843ex;" alt="{\displaystyle \lbrace e_{1},e_{2},\dotsc ,e_{n}\rbrace }"></span> <a href="/w/index.php?title=Taban_(do%C4%9Frusal_cebir)&action=edit&redlink=1" class="new" title="Taban (doğrusal cebir) (sayfa mevcut değil)">tabanları</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 v=x_{1}e_{1}+x_{2}e_{2}+\dotsb +x_{n}e_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>v</mi> <mo>=</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msub> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <msub> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v=x_{1}e_{1}+x_{2}e_{2}+\dotsb +x_{n}e_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c5f7c499812a0df6d28c0dbce71cc12a30612a2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:29.364ex; height:2.343ex;" alt="{\displaystyle v=x_{1}e_{1}+x_{2}e_{2}+\dotsb +x_{n}e_{n}}"></span></dd></dl> <p>ifadesindeki taban vektörlerinin katsayılarıdır. </p> <div class="mw-heading mw-heading2"><h2 id="Fiziksel_katsayılara_örnekler"><span id="Fiziksel_katsay.C4.B1lara_.C3.B6rnekler"></span>Fiziksel katsayılara örnekler</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Katsay%C4%B1&veaction=edit&section=2" title="Değiştirilen bölüm: Fiziksel katsayılara örnekler" class="mw-editsection-visualeditor"><span>değiştir</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Katsay%C4%B1&action=edit&section=2" title="Bölümün kaynak kodunu değiştir: Fiziksel katsayılara örnekler"><span>kaynağı değiştir</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol><li><i><a href="/wiki/Genle%C5%9Fme#Genleşme_katsayısı" title="Genleşme">Genleşme katsayısı</a></i> (<a href="/wiki/Termodinamik" title="Termodinamik">termodinamik</a>) (boyutsuz) - Sıcaklığa bağlı olarak malzemenin boyutundaki değişimi ile ilgilidir.</li> <li><i><a href="/wiki/Hall_etkisi" title="Hall etkisi">Hall katsayısı</a></i> (elektrik fiziği) - <a href="/wiki/Manyetik_alan" title="Manyetik alan">Manyetik alan</a> içerisinde bulunan ve üzerinden <a href="/wiki/Elektrik_ak%C4%B1m%C4%B1" title="Elektrik akımı">akım</a> geçen bir iletkende <a href="/wiki/Gerilim_(elektrik)" title="Gerilim (elektrik)">gerilim</a> oluşması olayına denir.</li> <li><i><a href="/wiki/Kald%C4%B1rma_katsay%C4%B1s%C4%B1" title="Kaldırma katsayısı">Kaldırma katsayısı</a></i> (<i>C<sub>L</sub></i> veya <i>C<sub>Z</sub></i>) (<a href="/wiki/Aerodinamik" title="Aerodinamik">aerodinamik</a>) (boyutsuz) - Bir <a href="/wiki/Kanat_profili" title="Kanat profili">kanat profili</a> etrafındaki sıvı akışının dinamik basıncı ve kanat profilinin oluşturduğu kaldırma ile ilgilidir.</li> <li><i><a href="/wiki/Balistik_katsay%C4%B1s%C4%B1" title="Balistik katsayısı">Balistik katsayısı</a></i> (BC) (<a href="/wiki/Aerodinamik" title="Aerodinamik">aerodinamik</a>) (birimi: kg/m<sup>2</sup>) - Hava sürtünmesine karşı bir cismin oluşturduğu etkinin ölçüsüdür. BC; <a href="/wiki/K%C3%BCtle" title="Kütle">kütle</a>, <a href="/wiki/%C3%87ap" title="Çap">çap</a> ve <a href="/wiki/S%C3%BCr%C3%BCkleme_katsay%C4%B1s%C4%B1" title="Sürükleme katsayısı">sürükleme katsayısının</a> (<a href="/wiki/S%C3%BCrt%C3%BCnme_katsay%C4%B1s%C4%B1" class="mw-redirect" title="Sürtünme katsayısı">sürtünme katsayısı</a> değil) bir fonksiyonudur.</li> <li><i><a href="/wiki/S%C3%BCrt%C3%BCnme_kuvveti#Sürtünme_katsayısı" title="Sürtünme kuvveti">Sürtünme katsayısı</a></i> - İki cisim arasındaki <a href="/wiki/S%C3%BCrt%C3%BCnme_kuvveti" title="Sürtünme kuvveti">sürtünme kuvvetinin</a> iki cismi birbirine bastıran kuvvete oranıdır.</li></ol> <p>6. Stokiyometri katsayısı - <a href="/wiki/Denklem_(kimya)" class="mw-redirect" title="Denklem (kimya)">Kimyasal denklemde</a>, kaç tane <a href="/wiki/Molek%C3%BCl" title="Molekül">molekül</a> (veya atomun) <a href="/wiki/Kimyasal_tepkime" class="mw-redirect" title="Kimyasal tepkime">tepkimeye</a> girdiğini ifade eden ve terimin önüne konulan sayısal bir katsayıdır. Örneğin aşağıdaki <a href="/wiki/Kimyasal_form%C3%BCl" title="Kimyasal formül">formülde</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 2H_{2}+O_{2}\rightarrow 2H_{2}O}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <msub> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>O</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">→</mo> <mn>2</mn> <msub> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mi>O</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2H_{2}+O_{2}\rightarrow 2H_{2}O}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a24c0b1306a688a518bde91de19231e42e809a53" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:19.351ex; height:2.509ex;" alt="{\displaystyle 2H_{2}+O_{2}\rightarrow 2H_{2}O}"></span>,</dd></dl> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle H_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7fa4324515cc7343ee952e3840a1bb1aa8c7f74c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.985ex; height:2.509ex;" alt="{\displaystyle H_{2}}"></span> ve <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 H_{2}O}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>H</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mi>O</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle H_{2}O}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a61b66546818b84c705ebcdd3284d18869829cb9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.759ex; height:2.509ex;" alt="{\displaystyle H_{2}O}"></span> ifadelerinin önündeki 2 sayısı, <a href="/wiki/Stokiyometri" title="Stokiyometri">Stokiyometri katsayılarıdır</a>. </p></div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">"<a dir="ltr" href="https://tr.wikipedia.org/w/index.php?title=Katsayı&oldid=33581933">https://tr.wikipedia.org/w/index.php?title=Katsayı&oldid=33581933</a>" sayfasından alınmıştır</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%C3%96zel:Kategoriler" title="Özel:Kategoriler">Kategori</a>: <ul><li><a href="/wiki/Kategori:Matematik_terimleri" title="Kategori:Matematik terimleri">Matematik terimleri</a></li><li><a href="/wiki/Kategori:Polinomlar" title="Kategori:Polinomlar">Polinomlar</a></li><li><a href="/wiki/Kategori:Cebir" title="Kategori:Cebir">Cebir</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Gizli kategori: <ul><li><a href="/wiki/Kategori:Kaynaklar%C4%B1_olmayan_maddeler_Temmuz_2024" title="Kategori:Kaynakları olmayan maddeler Temmuz 2024">Kaynakları olmayan maddeler Temmuz 2024</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"> Sayfa en son 08.39, 28 Temmuz 2024 tarihinde değiştirildi.</li> <li id="footer-info-copyright">Metin <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.tr">Creative Commons Atıf-AynıLisanslaPaylaş Lisansı</a> altındadır ve ek koşullar uygulanabilir. 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