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Distributivitet – Wikipedia

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Tilgjengeleg på 55 språk" > <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-55" 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">55 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Distributiv_lov" title="Distributiv lov – norsk bokmål" lang="nb" hreflang="nb" data-title="Distributiv lov" data-language-autonym="Norsk bokmål" data-language-local-name="norsk bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Distributivitet" title="Distributivitet – svensk" lang="sv" hreflang="sv" data-title="Distributivitet" data-language-autonym="Svenska" data-language-local-name="svensk" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Distributivitet" title="Distributivitet – dansk" lang="da" hreflang="da" data-title="Distributivitet" data-language-autonym="Dansk" data-language-local-name="dansk" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D9%88%D8%B2%D9%8A%D8%B9%D9%8A%D8%A9" title="توزيعية – arabisk" lang="ar" hreflang="ar" data-title="توزيعية" data-language-autonym="العربية" data-language-local-name="arabisk" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Distributivid%C3%A1" title="Distributividá – asturisk" lang="ast" hreflang="ast" data-title="Distributividá" data-language-autonym="Asturianu" data-language-local-name="asturisk" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%94%D0%B8%D1%81%D1%82%D1%80%D0%B8%D0%B1%D1%83%D1%82%D0%B8%D0%B2%D0%BB%D1%8B%D2%A1" title="Дистрибутивлыҡ – basjkirsk" lang="ba" hreflang="ba" data-title="Дистрибутивлыҡ" data-language-autonym="Башҡортса" data-language-local-name="basjkirsk" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%94%D1%8B%D1%81%D1%82%D1%80%D1%8B%D0%B1%D1%83%D1%82%D1%8B%D1%9E%D0%BD%D0%B0%D1%81%D1%86%D1%8C" title="Дыстрыбутыўнасць – belarusisk" lang="be" hreflang="be" data-title="Дыстрыбутыўнасць" data-language-autonym="Беларуская" data-language-local-name="belarusisk" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Propietat_distributiva" title="Propietat distributiva – katalansk" lang="ca" hreflang="ca" data-title="Propietat distributiva" data-language-autonym="Català" data-language-local-name="katalansk" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%94%D0%B8%D1%81%D1%82%D1%80%D0%B8%D0%B1%D1%83%D1%82%D0%B8%D0%B2%D0%BB%C4%83%D1%85" title="Дистрибутивлăх – tsjuvansk" lang="cv" hreflang="cv" data-title="Дистрибутивлăх" data-language-autonym="Чӑвашла" data-language-local-name="tsjuvansk" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Distributivita" title="Distributivita – tsjekkisk" lang="cs" hreflang="cs" data-title="Distributivita" data-language-autonym="Čeština" data-language-local-name="tsjekkisk" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Distributivgesetz" title="Distributivgesetz – tysk" lang="de" hreflang="de" data-title="Distributivgesetz" data-language-autonym="Deutsch" data-language-local-name="tysk" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Distributiivsus" title="Distributiivsus – estisk" lang="et" hreflang="et" data-title="Distributiivsus" data-language-autonym="Eesti" data-language-local-name="estisk" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%95%CF%80%CE%B9%CE%BC%CE%B5%CF%81%CE%B9%CF%83%CF%84%CE%B9%CE%BA%CE%AE_%CE%B9%CE%B4%CE%B9%CF%8C%CF%84%CE%B7%CF%84%CE%B1" title="Επιμεριστική ιδιότητα – gresk" lang="el" hreflang="el" data-title="Επιμεριστική ιδιότητα" data-language-autonym="Ελληνικά" data-language-local-name="gresk" 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/Distributive_property" title="Distributive property – engelsk" lang="en" hreflang="en" data-title="Distributive property" data-language-autonym="English" data-language-local-name="engelsk" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Distributividad" title="Distributividad – spansk" lang="es" hreflang="es" data-title="Distributividad" data-language-autonym="Español" data-language-local-name="spansk" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Distribueco" title="Distribueco – esperanto" lang="eo" hreflang="eo" data-title="Distribueco" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Banakortasun" title="Banakortasun – baskisk" lang="eu" hreflang="eu" data-title="Banakortasun" data-language-autonym="Euskara" data-language-local-name="baskisk" 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%AE%D8%A7%D8%B5%DB%8C%D8%AA_%D8%AA%D9%88%D8%B2%DB%8C%D8%B9%E2%80%8C%D9%BE%D8%B0%DB%8C%D8%B1%DB%8C" title="خاصیت توزیع‌پذیری – persisk" lang="fa" hreflang="fa" data-title="خاصیت توزیع‌پذیری" data-language-autonym="فارسی" data-language-local-name="persisk" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Distributivit%C3%A9" title="Distributivité – fransk" lang="fr" hreflang="fr" data-title="Distributivité" data-language-autonym="Français" data-language-local-name="fransk" 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/Oibr%C3%ADocht_dh%C3%A1ileach" title="Oibríocht dháileach – irsk" lang="ga" hreflang="ga" data-title="Oibríocht dháileach" data-language-autonym="Gaeilge" data-language-local-name="irsk" 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/Distributividade" title="Distributividade – galisisk" lang="gl" hreflang="gl" data-title="Distributividade" data-language-autonym="Galego" data-language-local-name="galisisk" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B6%84%EB%B0%B0%EB%B2%95%EC%B9%99" title="분배법칙 – koreansk" lang="ko" hreflang="ko" data-title="분배법칙" data-language-autonym="한국어" data-language-local-name="koreansk" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B2%D5%A1%D5%B7%D5%AD%D5%A1%D5%AF%D5%A1%D5%B6%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Բաշխականություն – armensk" lang="hy" hreflang="hy" data-title="Բաշխականություն" data-language-autonym="Հայերեն" data-language-local-name="armensk" 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/Sifat_distributif" title="Sifat distributif – indonesisk" lang="id" hreflang="id" data-title="Sifat distributif" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesisk" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Dreifiregla" title="Dreifiregla – islandsk" lang="is" hreflang="is" data-title="Dreifiregla" data-language-autonym="Íslenska" data-language-local-name="islandsk" 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/Distributivit%C3%A0" title="Distributività – italiensk" lang="it" hreflang="it" data-title="Distributività" data-language-autonym="Italiano" data-language-local-name="italiensk" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%97%D7%95%D7%A7_%D7%94%D7%A4%D7%99%D7%9C%D7%95%D7%92" title="חוק הפילוג – hebraisk" lang="he" hreflang="he" data-title="חוק הפילוג" data-language-autonym="עברית" data-language-local-name="hebraisk" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%94%D0%B8%D1%81%D1%82%D1%80%D0%B8%D0%B1%D1%83%D1%86%D0%B8%D1%8F%D0%BB%D1%83%D1%83%D0%BB%D1%83%D0%BA" title="Дистрибуциялуулук – kirgisisk" lang="ky" hreflang="ky" data-title="Дистрибуциялуулук" data-language-autonym="Кыргызча" data-language-local-name="kirgisisk" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Distributio_(mathematica)" title="Distributio (mathematica) – latin" lang="la" hreflang="la" data-title="Distributio (mathematica)" data-language-autonym="Latina" data-language-local-name="latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Disztributivit%C3%A1s" title="Disztributivitás – ungarsk" lang="hu" hreflang="hu" data-title="Disztributivitás" data-language-autonym="Magyar" data-language-local-name="ungarsk" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%94%D0%B8%D1%81%D1%82%D1%80%D0%B8%D0%B1%D1%83%D1%82%D0%B8%D0%B2%D0%BD%D0%BE%D1%81%D1%82" title="Дистрибутивност – makedonsk" lang="mk" hreflang="mk" data-title="Дистрибутивност" data-language-autonym="Македонски" data-language-local-name="makedonsk" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Kalis_agihan" title="Kalis agihan – malayisk" lang="ms" hreflang="ms" data-title="Kalis agihan" data-language-autonym="Bahasa Melayu" data-language-local-name="malayisk" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Distributiviteit" title="Distributiviteit – nederlandsk" lang="nl" hreflang="nl" data-title="Distributiviteit" data-language-autonym="Nederlands" data-language-local-name="nederlandsk" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%88%86%E9%85%8D%E6%B3%95%E5%89%87" title="分配法則 – japansk" lang="ja" hreflang="ja" data-title="分配法則" data-language-autonym="日本語" data-language-local-name="japansk" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Distributiifgesets" title="Distributiifgesets – nordfrisisk" lang="frr" hreflang="frr" data-title="Distributiifgesets" data-language-autonym="Nordfriisk" data-language-local-name="nordfrisisk" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Distributivlik" title="Distributivlik – usbekisk" lang="uz" hreflang="uz" data-title="Distributivlik" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="usbekisk" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Rozdzielno%C5%9B%C4%87" title="Rozdzielność – polsk" lang="pl" hreflang="pl" data-title="Rozdzielność" data-language-autonym="Polski" data-language-local-name="polsk" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Distributividade" title="Distributividade – portugisisk" lang="pt" hreflang="pt" data-title="Distributividade" data-language-autonym="Português" data-language-local-name="portugisisk" 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/Distributivitate" title="Distributivitate – rumensk" lang="ro" hreflang="ro" data-title="Distributivitate" data-language-autonym="Română" data-language-local-name="rumensk" 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%94%D0%B8%D1%81%D1%82%D1%80%D0%B8%D0%B1%D1%83%D1%82%D0%B8%D0%B2%D0%BD%D0%BE%D1%81%D1%82%D1%8C" title="Дистрибутивность – russisk" lang="ru" hreflang="ru" data-title="Дистрибутивность" data-language-autonym="Русский" data-language-local-name="russisk" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Distributive_property" title="Distributive property – enkel engelsk" lang="en-simple" hreflang="en-simple" data-title="Distributive property" data-language-autonym="Simple English" data-language-local-name="enkel engelsk" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Distributivnost" title="Distributivnost – slovensk" lang="sl" hreflang="sl" data-title="Distributivnost" data-language-autonym="Slovenščina" data-language-local-name="slovensk" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%AF%D8%A7%D8%A8%DB%95%D8%B4%D8%A8%D9%88%D9%88%D9%86" title="دابەشبوون – sorani" lang="ckb" hreflang="ckb" data-title="دابەشبوون" data-language-autonym="کوردی" data-language-local-name="sorani" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%94%D0%B8%D1%81%D1%82%D1%80%D0%B8%D0%B1%D1%83%D1%82%D0%B8%D0%B2%D0%BD%D0%BE%D1%81%D1%82" title="Дистрибутивност – serbisk" lang="sr" hreflang="sr" data-title="Дистрибутивност" data-language-autonym="Српски / srpski" data-language-local-name="serbisk" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Distributivnost" title="Distributivnost – serbokroatisk" lang="sh" hreflang="sh" data-title="Distributivnost" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroatisk" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Osittelulaki" title="Osittelulaki – finsk" lang="fi" hreflang="fi" data-title="Osittelulaki" data-language-autonym="Suomi" data-language-local-name="finsk" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%99%E0%AF%8D%E0%AE%95%E0%AF%80%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AF%81%E0%AE%AA%E0%AF%8D_%E0%AE%AA%E0%AE%A3%E0%AF%8D%E0%AE%AA%E0%AF%81" title="பங்கீட்டுப் பண்பு – tamil" lang="ta" hreflang="ta" data-title="பங்கீட்டுப் பண்பு" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%94%D0%B8%D1%81%D1%82%D1%80%D0%B8%D0%B1%D1%83%D1%82%D0%B8%D0%B2%D0%BB%D1%8B%D0%BA" title="Дистрибутивлык – tatarisk" lang="tt" hreflang="tt" data-title="Дистрибутивлык" data-language-autonym="Татарча / tatarça" data-language-local-name="tatarisk" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%AA%E0%B8%A1%E0%B8%9A%E0%B8%B1%E0%B8%95%E0%B8%B4%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B9%81%E0%B8%88%E0%B8%81%E0%B9%81%E0%B8%88%E0%B8%87" title="สมบัติการแจกแจง – thai" lang="th" hreflang="th" data-title="สมบัติการแจกแจง" data-language-autonym="ไทย" data-language-local-name="thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Da%C4%9F%C4%B1lma_%C3%B6zelli%C4%9Fi" title="Dağılma özelliği – tyrkisk" lang="tr" hreflang="tr" data-title="Dağılma özelliği" data-language-autonym="Türkçe" data-language-local-name="tyrkisk" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%94%D0%B8%D1%81%D1%82%D1%80%D0%B8%D0%B1%D1%83%D1%82%D0%B8%D0%B2%D0%BD%D1%96%D1%81%D1%82%D1%8C" title="Дистрибутивність – ukrainsk" lang="uk" hreflang="uk" data-title="Дистрибутивність" data-language-autonym="Українська" data-language-local-name="ukrainsk" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Thu%E1%BB%99c_t%C3%ADnh_ph%C3%A2n_ph%E1%BB%91i" title="Thuộc tính phân phối – vietnamesisk" lang="vi" hreflang="vi" data-title="Thuộc tính phân phối" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamesisk" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%93%D7%99%D7%A1%D7%98%D7%A8%D7%99%D7%91%D7%95%D7%98%D7%99%D7%95%D7%95" title="דיסטריבוטיוו – 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data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Utsjånad</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">flytt til sidefeltet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">gøym</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Frå Wikipedia – det frie oppslagsverket</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="nn" dir="ltr"><p><b>Distributivitet</b> eller <b>den distributive lova</b> er ein <a href="/wiki/Algebra" title="Algebra">algebraisk</a> relasjon som knyter saman <a href="/wiki/Addisjon" title="Addisjon">addisjon</a> og <a href="/wiki/Multiplikasjon" title="Multiplikasjon">multiplikasjon</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 \ a\cdot (b+c)=a\cdot b+a\cdot c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mtext>&#xa0;</mtext> <mi>a</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>a</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>b</mi> <mo>+</mo> <mi>a</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \ a\cdot (b+c)=a\cdot b+a\cdot c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/403daa3911b4f59426f7a5b077e6349a0c29f225" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.905ex; height:2.843ex;" alt="{\displaystyle \ a\cdot (b+c)=a\cdot b+a\cdot c}" /></span></dd></dl> <p>Vi seier at multiplikasjon er distributiv med omsyn til addisjon. Meir generelt snakkar vi om den distributiv lova kvar gong vi har ein algebraisk relasjon som over, sjølv om operasjonane · og + kan vere andre operasjonar enn vanleg multiplikasjon og addisjon av tal, sjå <a href="/wiki/Ring_i_matematikk" title="Ring i matematikk">ring</a>. </p><p>Ein seier vidare at den binære operasjonen <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 \cdot }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x22c5;<!-- ⋅ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cdot }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba2c023bad1bd39ed49080f729cbf26bc448c9ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.439ex; margin-bottom: -0.61ex; width:0.647ex; height:1.176ex;" alt="{\displaystyle \cdot }" /></span> <b>venstredistribuerer</b> over ein <a href="/wiki/Bin%C3%A6r_operasjon" title="Binær operasjon">binær operasjon</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 +}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>+</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle +}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe6ef363cd19902d1a7a71fb1c8b21e8ede52406" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle +}" /></span> dersom <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\cdot (b+c)=a\cdot b+a\cdot c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>a</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>b</mi> <mo>+</mo> <mi>a</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\cdot (b+c)=a\cdot b+a\cdot c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8827e12f09f1ab8a5f3d7783b7357bd4cc398db7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.324ex; height:2.843ex;" alt="{\displaystyle a\cdot (b+c)=a\cdot b+a\cdot c}" /></span> og <b>høgredistribuerer</b> over ein binær operasjon <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 +}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>+</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle +}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe6ef363cd19902d1a7a71fb1c8b21e8ede52406" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle +}" /></span> dersom <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+b)\cdot c=a\cdot c+b\cdot c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>c</mi> <mo>=</mo> <mi>a</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>c</mi> <mo>+</mo> <mi>b</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (a+b)\cdot c=a\cdot c+b\cdot c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/816c990d7dcd9ff9f933d8b43b4978280fea517b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.101ex; height:2.843ex;" alt="{\displaystyle (a+b)\cdot c=a\cdot c+b\cdot c}" /></span> for alle <i>a</i>, <i>b</i> og <i>c</i>. <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \cdot }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x22c5;<!-- ⋅ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cdot }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba2c023bad1bd39ed49080f729cbf26bc448c9ba" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.439ex; margin-bottom: -0.61ex; width:0.647ex; height:1.176ex;" alt="{\displaystyle \cdot }" /></span> distribuerer over + dersom han er både venstre- og høgredistributiv. Ein <a href="/wiki/Algebraisk_struktur" title="Algebraisk struktur">algebraisk struktur</a> er <b>distributiv</b> dersom han har ein binær operasjon som distribuerer over ein annan. </p> <div class="mw-heading mw-heading2"><h2 id="Kjelder">Kjelder</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Distributivitet&amp;veaction=edit&amp;section=1" title="Endre bolk: Kjelder" class="mw-editsection-visualeditor"><span>endre</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Distributivitet&amp;action=edit&amp;section=1" title="Rediger kildekoden til seksjonen Kjelder"><span>endre wikiteksten</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><cite class="citation web"><a rel="nofollow" class="external text" href="http://snl.no/distributive_lov">«distributive lov»</a>. <i><a href="/wiki/Store_norske_leksikon" title="Store norske leksikon">Store norske leksikon</a></i>. 1. november 2011.</cite><span title="ctx_ver=Z39.88-2004&amp;rfr_id=info%3Asid%2Fnn.wikipedia.org%3ADistributivitet&amp;rft.atitle=distributive+lov&amp;rft.chron=1.+november+2011&amp;rft.genre=unknown&amp;rft.jtitle=Store+norske+leksikon&amp;rft_id=http%3A%2F%2Fsnl.no%2Fdistributive_lov&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;">&#160;</span></span></li></ul> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐fff85b7d‐kghrb Cached time: 20250313005737 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.049 seconds Real time usage: 0.116 seconds Preprocessor visited node count: 78/1000000 Post‐expand include size: 999/2097152 bytes Template argument size: 10/2097152 bytes Highest expansion depth: 5/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 252/5000000 bytes Lua time usage: 0.019/10.000 seconds Lua memory usage: 1410087/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 42.770 1 Mal:Kjelde_www 100.00% 42.770 1 -total --> <!-- Saved in parser cache with key nnwiki:pcache:49676:|#|:idhash:canonical and timestamp 20250313005737 and revision id 3362647. 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