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Verfügbar in 17 Sprachen" > <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-17" 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">17 Sproochen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Neguentropia" title="Neguentropia – Katalanisch" lang="ca" hreflang="ca" data-title="Neguentropia" data-language-autonym="Català" data-language-local-name="Katalanisch" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Negentropie" title="Negentropie – Deutsch" lang="de" hreflang="de" data-title="Negentropie" data-language-autonym="Deutsch" data-language-local-name="Deutsch" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Negentropy" title="Negentropy – Englisch" lang="en" hreflang="en" data-title="Negentropy" data-language-autonym="English" data-language-local-name="Englisch" 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/Neguentrop%C3%ADa" title="Neguentropía – Spanisch" lang="es" hreflang="es" data-title="Neguentropía" data-language-autonym="Español" data-language-local-name="Spanisch" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/N%C3%A9guentropie" title="Néguentropie – Französisch" lang="fr" hreflang="fr" data-title="Néguentropie" data-language-autonym="Français" data-language-local-name="Französisch" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Neghentropia" title="Neghentropia – Italienisch" lang="it" hreflang="it" data-title="Neghentropia" data-language-autonym="Italiano" data-language-local-name="Italienisch" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%8D%E3%82%B2%E3%83%B3%E3%83%88%E3%83%AD%E3%83%94%E3%83%BC" title="ネゲントロピー – Japanisch" lang="ja" hreflang="ja" data-title="ネゲントロピー" data-language-autonym="日本語" data-language-local-name="Japanisch" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9D%D0%B5%D0%B3%D0%B5%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8%D1%8F" title="Негентропия – Kirgisisch" lang="ky" hreflang="ky" data-title="Негентропия" data-language-autonym="Кыргызча" data-language-local-name="Kirgisisch" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Negentropija" title="Negentropija – Litauisch" lang="lt" hreflang="lt" data-title="Negentropija" data-language-autonym="Lietuvių" data-language-local-name="Litauisch" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Negentropie" title="Negentropie – Niederländisch" lang="nl" hreflang="nl" data-title="Negentropie" data-language-autonym="Nederlands" data-language-local-name="Niederländisch" 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/Negentropi" title="Negentropi – Norwegisch (Nynorsk)" lang="nn" hreflang="nn" data-title="Negentropi" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegisch (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/Negentropi" title="Negentropi – Norwegisch (Bokmål)" lang="nb" hreflang="nb" data-title="Negentropi" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegisch (Bokmål)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Negentropia" title="Negentropia – Polnisch" lang="pl" hreflang="pl" data-title="Negentropia" data-language-autonym="Polski" data-language-local-name="Polnisch" 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/Sintropia" title="Sintropia – Portugiesisch" lang="pt" hreflang="pt" data-title="Sintropia" data-language-autonym="Português" data-language-local-name="Portugiesisch" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9D%D0%B5%D0%B3%D1%8D%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D0%B8%D1%8F" title="Негэнтропия – Russisch" lang="ru" hreflang="ru" data-title="Негэнтропия" data-language-autonym="Русский" data-language-local-name="Russisch" 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/Negentropy" title="Negentropy – einfaches Englisch" lang="en-simple" hreflang="en-simple" data-title="Negentropy" data-language-autonym="Simple English" data-language-local-name="einfaches Englisch" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9D%D0%B5%D0%B3%D0%B5%D0%BD%D1%82%D1%80%D0%BE%D0%BF%D1%96%D1%8F" title="Негентропія – Ukrainisch" lang="uk" hreflang="uk" data-title="Негентропія" data-language-autonym="Українська" data-language-local-name="Ukrainisch" class="interlanguage-link-target"><span>Українська</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q252552#sitelinks-wikipedia" title="Links a Artiken in andane Sprochn beorwatn" class="wbc-editpage">Links beorwatn</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav 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Damid is oisdann as Gegntei vo <a href="/wiki/Entropie_(Thermodynamik)" title="Entropie (Thermodynamik)">Entropie</a> gmoant. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Definition">Definition</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Negentropie&veaction=edit&section=1" title="Obschnit beorwaten: Definition" class="mw-editsection-visualeditor"><span>Werkeln</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Negentropie&action=edit&section=1" title="Quellcode des Abschnitts bearbeiten: Definition"><span>Am Gwëntext werkeln</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Negentropie wead untaschieli definiat. De oafochste Definition (s.o.) hoasst: <i>Negentropie is negative Entropie</i>. </p><p>A weidane Definition sogt, dass Negentropie da <a href="/wiki/Redundanz_(Informationstheorie)" class="mw-redirect" title="Redundanz (Informationstheorie)">Redundanz</a> <sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> entsprechn duat: Duach entsprechande <a href="/w/index.php?title=Normierung&action=edit&redlink=1" class="new" title="Normierung (dé Seiten gibts néd)">Normierung</a> ko ma erreicha, dass de Negentropie J vo oana <a href="/w/index.php?title=Gleichverteilung&action=edit&redlink=1" class="new" title="Gleichverteilung (dé Seiten gibts néd)">gleichvateitn</a> Variablen 0 is. Des fiat nacha zu foiganda Definition: </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 J(y)=H(y_{\text{gleich}})-H(y)\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>J</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>H</mi> <mo stretchy="false">(</mo> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>gleich</mtext> </mrow> </msub> <mo stretchy="false">)</mo> <mo>−</mo> <mi>H</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle J(y)=H(y_{\text{gleich}})-H(y)\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d34be0333c69bf0f704834631793393db1235ca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:25.146ex; height:3.009ex;" alt="{\displaystyle J(y)=H(y_{\text{gleich}})-H(y)\,}"></span></dd></dl> <p>wobei <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y_{\text{gleich}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>gleich</mtext> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y_{\text{gleich}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4e05cc6e837df03b07f06ae2590f641ca61ec41a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:5.482ex; height:2.343ex;" alt="{\displaystyle y_{\text{gleich}}}"></span> a gleichvateite Zuafoisvariable is, mit da gleichn Korrelations- (und <a href="/w/index.php?title=Kovarianz_(Stochastik)&action=edit&redlink=1" class="new" title="Kovarianz (Stochastik) (dé Seiten gibts néd)">Kovarianz</a>-) matrix wia <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span>, und H de Entropie (Da easchte Term in dera Definition is nur a Normiarung, entscheidend is, dass H mit negativen Voazeichn gnumma wead). </p> <div class="mw-heading mw-heading2"><h2 id="Interpretation">Interpretation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Negentropie&veaction=edit&section=2" title="Obschnit beorwaten: Interpretation" class="mw-editsection-visualeditor"><span>Werkeln</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Negentropie&action=edit&section=2" title="Quellcode des Abschnitts bearbeiten: Interpretation"><span>Am Gwëntext werkeln</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Da Begriff negative Entropie is vom <a href="/w/index.php?title=Erwin_Schr%C3%B6dinger&action=edit&redlink=1" class="new" title="Erwin Schrödinger (dé Seiten gibts néd)">Erwin Schrödinger</a> in seim Buach <i>Was ist Leben</i> prägt wuan. Er definiat Lebm ois wos, wos negative Entropie aufnimmt und speichat. Des hoasst, dass Lebm wos is, wos Entropie exportiat und sei eigane Entropie niadrig hoit: Negentropie-Import ist Entropie-Export. </p><p>Da Schrödinger hod mit negativa Entropie <i>freie Energie</i> gmoant, des is owa koa Wiedaspruch zan zwoatn <a href="/wiki/Zweiter_Hauptsatz_der_Thermodynamik" class="mw-redirect" title="Zweiter Hauptsatz der Thermodynamik">2. Haptsotz vo da Thermodynamik</a>, wei dea Prozess unta Energiezufua, beispuisweis beim Pflanzn duach Sunnenlicht. </p> <div class="mw-heading mw-heading2"><h2 id="Beleg">Beleg</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Negentropie&veaction=edit&section=3" title="Obschnit beorwaten: Beleg" class="mw-editsection-visualeditor"><span>Werkeln</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Negentropie&action=edit&section=3" title="Quellcode des Abschnitts bearbeiten: Beleg"><span>Am Gwëntext werkeln</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">ISO/IEC DIS 2382-16</span> </li> </ol> <div class="mw-heading mw-heading2"><h2 id="Literatua">Literatua</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Negentropie&veaction=edit&section=4" title="Obschnit beorwaten: Literatua" class="mw-editsection-visualeditor"><span>Werkeln</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Negentropie&action=edit&section=4" title="Quellcode des Abschnitts bearbeiten: Literatua"><span>Am Gwëntext werkeln</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Norbert Wiener, <i>Cybernetics or Control and Communication in the Animal and the Machine</i>, Massachusetts, MIT Press 1948 </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="">Voh „<a dir="ltr" href="https://bar.wikipedia.org/w/index.php?title=Negentropie&oldid=522031">https://bar.wikipedia.org/w/index.php?title=Negentropie&oldid=522031</a>“</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Spezial:Kategorien" title="Spezial:Kategorien">Kategoariner</a>: <ul><li><a href="/wiki/Kategorie:Artikel_auf_Westmittelbairisch" title="Kategorie:Artikel auf Westmittelbairisch">Artikel auf Westmittelbairisch</a></li><li><a href="/wiki/Kategorie:Thermodynamik" title="Kategorie:Thermodynamik">Thermodynamik</a></li><li><a href="/wiki/Kategorie:Informationstheorie" title="Kategorie:Informationstheorie">Informationstheorie</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"> De Seitn is zletzt am 6. 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