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Razsežnost (vektorski prostor) - Wikipedija, prosta enciklopedija
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class="cdx-button cdx-button--size-large cdx-button--icon-only cdx-button--weight-quiet skin-minerva-search-trigger"> <span class="minerva-icon minerva-icon--search"></span> <span>Išči</span> </button> </form> <nav class="minerva-user-navigation" aria-label="Navigacija uporabnika"> </nav> </div> </header> <main id="content" class="mw-body"> <div class="banner-container"> <div id="siteNotice"></div> </div> <div class="pre-content heading-holder"> <div class="page-heading"> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Razsežnost (vektorski prostor)</span></h1> <div class="tagline"></div> </div> <nav class="page-actions-menu"> <ul id="p-views" class="page-actions-menu__list"> <li id="language-selector" class="page-actions-menu__list-item"><a role="button" href="https://sl-m-wikipedia-org.translate.goog/wiki/Razse%C5%BEnost?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#p-lang" data-mw="interface" data-event-name="menu.languages" title="Jezik" 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block=document.getElementById("mf-section-"+id);block.className+=" open-block";block.previousSibling.className+=" open-block";}</script> <div class="mw-content-ltr mw-parser-output" lang="sl" dir="ltr"> <section class="mf-section-0" id="mf-section-0"> <p><b>Razséžnost</b> (tudi <b>dimenzíja</b>) <a href="https://sl-m-wikipedia-org.translate.goog/wiki/Vektorski_prostor?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Vektorski prostor">vektorskega prostora</a> je enaka <a href="https://sl-m-wikipedia-org.translate.goog/w/index.php?title=%C5%A0tevilu&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Številu (stran ne obstaja)">številu</a> linearno neodvisnih <a href="https://sl-m-wikipedia-org.translate.goog/wiki/Vektor_(matematika)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Vektor (matematika)">vektorjev</a> tega prostora, oziroma moči baze tega prostora.</p> <p>V <a href="https://sl-m-wikipedia-org.translate.goog/wiki/Fizika?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Fizika">fiziki</a> ima <a href="https://sl-m-wikipedia-org.translate.goog/wiki/Prostor-%C4%8Das?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Prostor-čas">prostor-čas</a> <a href="https://sl-m-wikipedia-org.translate.goog/wiki/3_(%C5%A1tevilo)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="3 (število)">tri</a> <a href="https://sl-m-wikipedia-org.translate.goog/wiki/Prostor?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Prostor">prostorske</a> in <a href="https://sl-m-wikipedia-org.translate.goog/wiki/1_(%C5%A1tevilo)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="1 (število)">eno</a> <a href="https://sl-m-wikipedia-org.translate.goog/wiki/%C4%8Cas?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Čas">časovno</a> razsežnost, novejše fizikalne teorije pa napovedujejo, da bi lahko bil prostor sestavljen še <a href="https://sl-m-wikipedia-org.translate.goog/wiki/Mnogo%C4%8Dasovne_razse%C5%BEnosti?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mnogočasovne razsežnosti">iz dodatnih razsežnosti</a>, vendar kvečjemu največ skupaj 11.</p> <p>Ta izraz so uporabljali tudi v predrimski Italiji.</p> <style data-mw-deduplicate="TemplateStyles:r5570670">.mw-parser-output .asbox{position:relative;overflow:hidden}.mw-parser-output .asbox table{background:transparent}.mw-parser-output .asbox p{margin:0}.mw-parser-output .asbox p+p{margin-top:0.25em}.mw-parser-output .asbox-body{font-style:italic}.mw-parser-output .asbox-note{font-size:smaller}.mw-parser-output .asbox .navbar{position:absolute;top:-0.75em;right:1em;display:none}</style> <div role="note" class="metadata plainlinks asbox stub"> <table role="presentation"> <tbody> <tr class="noresize"> <td><span typeof="mw:File"><a href="https://sl-m-wikipedia-org.translate.goog/wiki/Slika:E-to-the-i-pi.svg?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"><img alt="Stub icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/34px-E-to-the-i-pi.svg.png" decoding="async" width="34" height="30" class="mw-file-element" srcset="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/51px-E-to-the-i-pi.svg.png 1.5x,https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://upload.wikimedia.org/wikipedia/commons/thumb/3/35/E-to-the-i-pi.svg/68px-E-to-the-i-pi.svg.png 2x" data-file-width="512" data-file-height="453"></a></span></td> <td><p class="asbox-body">Ta matematični članek je <a href="https://sl-m-wikipedia-org.translate.goog/wiki/Wikipedija:%C5%A0krbina?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Wikipedija:Škrbina">škrbina</a>. 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href="https://sl-m-wikipedia-org.translate.goog/w/index.php?title=Razse%C5%BEnost_(vektorski_prostor)&action=history&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"> <div class="post-content last-modified-bar__content"><span class="minerva-icon minerva-icon-size-medium minerva-icon--modified-history"></span> <span class="last-modified-bar__text modified-enhancement" data-user-name="212.85.162.210" data-user-gender="unknown" data-timestamp="1577612571"> <span>Zadnja sprememba: 29. december 2019, ob 10:42</span> </span> <span class="minerva-icon minerva-icon-size-small minerva-icon--expand"></span> </div></a> <div class="post-content footer-content"> <div id="mw-data-after-content"> <div class="read-more-container"></div> </div> <div id="p-lang"> <h4>Jeziki</h4> <section> <ul id="p-variants" class="minerva-languages"></ul> <ul class="minerva-languages"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ar.wikipedia.org/wiki/%25D8%25A8%25D8%25B9%25D8%25AF_(%25D9%2581%25D8%25B6%25D8%25A7%25D8%25A1_%25D9%2585%25D8%25AA%25D8%25AC%25D9%2587%25D9%258A)" title="بعد (فضاء متجهي) – arabščina" lang="ar" hreflang="ar" data-title="بعد (فضاء متجهي)" data-language-autonym="العربية" data-language-local-name="arabščina" class="interlanguage-link-target"><span>العربية</span></a></li> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ca.wikipedia.org/wiki/Dimensi%25C3%25B3_d%2527un_espai_vectorial" title="Dimensió d'un espai vectorial – katalonščina" lang="ca" hreflang="ca" data-title="Dimensió d'un espai vectorial" data-language-autonym="Català" data-language-local-name="katalonščina" class="interlanguage-link-target"><span>Català</span></a></li> <li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://cs.wikipedia.org/wiki/Dimenze_vektorov%25C3%25A9ho_prostoru" title="Dimenze vektorového prostoru – češčina" lang="cs" hreflang="cs" data-title="Dimenze vektorového prostoru" data-language-autonym="Čeština" data-language-local-name="češčina" class="interlanguage-link-target"><span>Čeština</span></a></li> <li class="interlanguage-link interwiki-de badge-Q70894304 mw-list-item" title=""><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://de.wikipedia.org/wiki/Hamel-Dimension" title="Hamel-Dimension – nemščina" lang="de" hreflang="de" data-title="Hamel-Dimension" data-language-autonym="Deutsch" data-language-local-name="nemščina" class="interlanguage-link-target"><span>Deutsch</span></a></li> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://en.wikipedia.org/wiki/Dimension_(vector_space)" title="Dimension (vector space) – angleščina" lang="en" hreflang="en" data-title="Dimension (vector space)" data-language-autonym="English" data-language-local-name="angleščina" class="interlanguage-link-target"><span>English</span></a></li> <li class="interlanguage-link interwiki-es mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://es.wikipedia.org/wiki/Dimensi%25C3%25B3n_de_un_espacio_vectorial" title="Dimensión de un espacio vectorial – španščina" lang="es" hreflang="es" data-title="Dimensión de un espacio vectorial" data-language-autonym="Español" data-language-local-name="španščina" class="interlanguage-link-target"><span>Español</span></a></li> <li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://eu.wikipedia.org/wiki/Espazio_bektorial_baten_dimentsioa" title="Espazio bektorial baten dimentsioa – baskovščina" lang="eu" hreflang="eu" data-title="Espazio bektorial baten dimentsioa" data-language-autonym="Euskara" data-language-local-name="baskovščina" class="interlanguage-link-target"><span>Euskara</span></a></li> <li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fa.wikipedia.org/wiki/%25D8%25A8%25D8%25B9%25D8%25AF_(%25D9%2581%25D8%25B6%25D8%25A7%25DB%258C_%25D8%25A8%25D8%25B1%25D8%25AF%25D8%25A7%25D8%25B1%25DB%258C)" title="بعد (فضای برداری) – perzijščina" lang="fa" hreflang="fa" data-title="بعد (فضای برداری)" data-language-autonym="فارسی" data-language-local-name="perzijščina" class="interlanguage-link-target"><span>فارسی</span></a></li> <li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fr.wikipedia.org/wiki/Dimension_d%2527un_espace_vectoriel" title="Dimension d'un espace vectoriel – francoščina" lang="fr" hreflang="fr" data-title="Dimension d'un espace vectoriel" data-language-autonym="Français" data-language-local-name="francoščina" class="interlanguage-link-target"><span>Français</span></a></li> <li class="interlanguage-link interwiki-he mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://he.wikipedia.org/wiki/%25D7%259E%25D7%259E%25D7%2593_(%25D7%2590%25D7%259C%25D7%2592%25D7%2591%25D7%25A8%25D7%2594_%25D7%259C%25D7%2599%25D7%25A0%25D7%2599%25D7%2590%25D7%25A8%25D7%2599%25D7%25AA)" title="ממד (אלגברה ליניארית) – hebrejščina" lang="he" hreflang="he" data-title="ממד (אלגברה ליניארית)" data-language-autonym="עברית" data-language-local-name="hebrejščina" class="interlanguage-link-target"><span>עברית</span></a></li> <li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hr.wikipedia.org/wiki/Dimenzija_vektorskog_prostora" title="Dimenzija vektorskog prostora – hrvaščina" lang="hr" hreflang="hr" data-title="Dimenzija vektorskog prostora" data-language-autonym="Hrvatski" data-language-local-name="hrvaščina" class="interlanguage-link-target"><span>Hrvatski</span></a></li> <li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hu.wikipedia.org/wiki/Hamel-dimenzi%25C3%25B3" title="Hamel-dimenzió – madžarščina" lang="hu" hreflang="hu" data-title="Hamel-dimenzió" data-language-autonym="Magyar" data-language-local-name="madžarščina" class="interlanguage-link-target"><span>Magyar</span></a></li> <li class="interlanguage-link interwiki-it mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://it.wikipedia.org/wiki/Dimensione_(spazio_vettoriale)" title="Dimensione (spazio vettoriale) – italijanščina" lang="it" hreflang="it" data-title="Dimensione (spazio vettoriale)" data-language-autonym="Italiano" data-language-local-name="italijanščina" class="interlanguage-link-target"><span>Italiano</span></a></li> <li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ja.wikipedia.org/wiki/%25E6%25AC%25A1%25E5%2585%2583_(%25E3%2583%2599%25E3%2582%25AF%25E3%2583%2588%25E3%2583%25AB%25E7%25A9%25BA%25E9%2596%2593)" title="次元 (ベクトル空間) – japonščina" lang="ja" hreflang="ja" data-title="次元 (ベクトル空間)" data-language-autonym="日本語" data-language-local-name="japonščina" class="interlanguage-link-target"><span>日本語</span></a></li> <li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ku.wikipedia.org/wiki/Rehend" title="Rehend – kurdščina" lang="ku" hreflang="ku" data-title="Rehend" data-language-autonym="Kurdî" data-language-local-name="kurdščina" class="interlanguage-link-target"><span>Kurdî</span></a></li> <li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://nl.wikipedia.org/wiki/Dimensie_(lineaire_algebra)" title="Dimensie (lineaire algebra) – nizozemščina" lang="nl" hreflang="nl" data-title="Dimensie (lineaire algebra)" data-language-autonym="Nederlands" data-language-local-name="nizozemščina" class="interlanguage-link-target"><span>Nederlands</span></a></li> <li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pa.wikipedia.org/wiki/%25E0%25A8%25A1%25E0%25A8%25BE%25E0%25A8%2587%25E0%25A8%25AE%25E0%25A9%2588%25E0%25A8%2582%25E0%25A8%25B8%25E0%25A8%25BC%25E0%25A8%25A8_(%25E0%25A8%25B5%25E0%25A9%2588%25E0%25A8%2595%25E0%25A8%259F%25E0%25A8%25B0_%25E0%25A8%25B8%25E0%25A8%25AA%25E0%25A9%2587%25E0%25A8%25B8)" title="ਡਾਇਮੈਂਸ਼ਨ (ਵੈਕਟਰ ਸਪੇਸ) – pandžabščina" lang="pa" hreflang="pa" data-title="ਡਾਇਮੈਂਸ਼ਨ (ਵੈਕਟਰ ਸਪੇਸ)" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pandžabščina" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li> <li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pt.wikipedia.org/wiki/Dimens%25C3%25A3o_(espa%25C3%25A7o_vetorial)" title="Dimensão (espaço vetorial) – portugalščina" lang="pt" hreflang="pt" data-title="Dimensão (espaço vetorial)" data-language-autonym="Português" data-language-local-name="portugalščina" class="interlanguage-link-target"><span>Português</span></a></li> <li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ro.wikipedia.org/wiki/Dimensiune_(spa%25C8%259Biu_vectorial)" title="Dimensiune (spațiu vectorial) – romunščina" lang="ro" hreflang="ro" data-title="Dimensiune (spațiu vectorial)" data-language-autonym="Română" data-language-local-name="romunščina" class="interlanguage-link-target"><span>Română</span></a></li> <li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ru.wikipedia.org/wiki/%25D0%2591%25D0%25B5%25D1%2581%25D0%25BA%25D0%25BE%25D0%25BD%25D0%25B5%25D1%2587%25D0%25BD%25D0%25BE%25D0%25BC%25D0%25B5%25D1%2580%25D0%25BD%25D0%25BE%25D0%25B5_%25D0%25BF%25D1%2580%25D0%25BE%25D1%2581%25D1%2582%25D1%2580%25D0%25B0%25D0%25BD%25D1%2581%25D1%2582%25D0%25B2%25D0%25BE" title="Бесконечномерное пространство – ruščina" lang="ru" hreflang="ru" data-title="Бесконечномерное пространство" data-language-autonym="Русский" data-language-local-name="ruščina" class="interlanguage-link-target"><span>Русский</span></a></li> <li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sh.wikipedia.org/wiki/Dimenzija_vektorskog_prostora" title="Dimenzija vektorskog prostora – srbohrvaščina" lang="sh" hreflang="sh" data-title="Dimenzija vektorskog prostora" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srbohrvaščina" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li> <li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sk.wikipedia.org/wiki/Rozmer" title="Rozmer – slovaščina" lang="sk" hreflang="sk" data-title="Rozmer" data-language-autonym="Slovenčina" data-language-local-name="slovaščina" class="interlanguage-link-target"><span>Slovenčina</span></a></li> <li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sq.wikipedia.org/wiki/P%25C3%25ABrmasa" title="Përmasa – albanščina" lang="sq" hreflang="sq" data-title="Përmasa" data-language-autonym="Shqip" data-language-local-name="albanščina" class="interlanguage-link-target"><span>Shqip</span></a></li> <li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sr.wikipedia.org/wiki/%25D0%2594%25D0%25B8%25D0%25BC%25D0%25B5%25D0%25BD%25D0%25B7%25D0%25B8%25D1%2598%25D0%25B0_%25D0%25B2%25D0%25B5%25D0%25BA%25D1%2582%25D0%25BE%25D1%2580%25D1%2581%25D0%25BA%25D0%25BE%25D0%25B3_%25D0%25BF%25D1%2580%25D0%25BE%25D1%2581%25D1%2582%25D0%25BE%25D1%2580%25D0%25B0" title="Димензија векторског простора – srbščina" lang="sr" hreflang="sr" data-title="Димензија векторског простора" data-language-autonym="Српски / srpski" data-language-local-name="srbščina" class="interlanguage-link-target"><span>Српски / srpski</span></a></li> <li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ta.wikipedia.org/wiki/%25E0%25AE%25A4%25E0%25AE%25BF%25E0%25AE%259A%25E0%25AF%2588%25E0%25AE%25AF%25E0%25AE%25A9%25E0%25AF%258D_%25E0%25AE%25B5%25E0%25AF%2586%25E0%25AE%25B3%25E0%25AE%25BF%25E0%25AE%25AF%25E0%25AE%25BF%25E0%25AE%25A9%25E0%25AF%258D_%25E0%25AE%25AA%25E0%25AE%25B0%25E0%25AE%25BF%25E0%25AE%25AE%25E0%25AE%25BE%25E0%25AE%25A3%25E0%25AE%25AE%25E0%25AF%258D" title="திசையன் வெளியின் பரிமாணம் – tamilščina" lang="ta" hreflang="ta" data-title="திசையன் வெளியின் பரிமாணம்" data-language-autonym="தமிழ்" data-language-local-name="tamilščina" class="interlanguage-link-target"><span>தமிழ்</span></a></li> <li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://uk.wikipedia.org/wiki/%25D0%259D%25D0%25B5%25D1%2581%25D0%25BA%25D1%2596%25D0%25BD%25D1%2587%25D0%25B5%25D0%25BD%25D0%25BD%25D0%25BE%25D0%25B2%25D0%25B8%25D0%25BC%25D1%2596%25D1%2580%25D0%25BD%25D0%25B8%25D0%25B9_%25D0%25BF%25D1%2580%25D0%25BE%25D1%2581%25D1%2582%25D1%2596%25D1%2580" title="Нескінченновимірний простір – ukrajinščina" lang="uk" hreflang="uk" data-title="Нескінченновимірний простір" data-language-autonym="Українська" data-language-local-name="ukrajinščina" class="interlanguage-link-target"><span>Українська</span></a></li> <li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://vi.wikipedia.org/wiki/Chi%25E1%25BB%2581u_(kh%25C3%25B4ng_gian_vect%25C6%25A1)" title="Chiều (không gian vectơ) – vietnamščina" lang="vi" hreflang="vi" data-title="Chiều (không gian vectơ)" data-language-autonym="Tiếng Việt" 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