Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.2392.81 on revision:2392
* Page found: Informationsmaße (eq math.2392.81)
(force rerendering)Occurrences on the following pages:
Hash: 0289ba1a5989b64df37872a5aa7aea1a
TeX (original user input):
\begin{align}
& \delta K\left( P,P\acute{\ } \right)=\sum\limits_{i}^{{}}{{}}\left( \ln \frac{{{P}_{i}}}{{{P}_{i}}\acute{\ }}+1 \right)\delta {{P}_{i}} \\
& \sum\limits_{i}^{{}}{{}}\left( \ln \frac{{{P}_{i}}}{{{P}_{i}}\acute{\ }}+1+\lambda \right)\delta {{P}_{i}}=0 \\
& \Rightarrow \ln (\frac{{{P}_{i}}}{{{P}_{i}}\acute{\ }})=-\left( +1+\lambda \right)=const. \\
& \Rightarrow {{P}_{i}}\tilde{\ }{{P}_{i}}\acute{\ } \\
\end{align}
TeX (checked):
{\begin{aligned}&\delta K\left(P,P{\acute {\ }}\right)=\sum \limits _{i}^{}{}\left(\ln {\frac {{P}_{i}}{{{P}_{i}}{\acute {\ }}}}+1\right)\delta {{P}_{i}}\\&\sum \limits _{i}^{}{}\left(\ln {\frac {{P}_{i}}{{{P}_{i}}{\acute {\ }}}}+1+\lambda \right)\delta {{P}_{i}}=0\\&\Rightarrow \ln({\frac {{P}_{i}}{{{P}_{i}}{\acute {\ }}}})=-\left(+1+\lambda \right)=const.\\&\Rightarrow {{P}_{i}}{\tilde {\ }}{{P}_{i}}{\acute {\ }}\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering
MathML (3.66 KB / 539 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>δ</mi><mi>K</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>P</mi><mo>,</mo><mi>P</mi><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>δ</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">+</mo><mi>λ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>δ</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mi>ln</mi><mo>⁡</mo><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mfrac></mrow><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">+</mo><mn>1</mn><mo stretchy="false">+</mo><mi>λ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi><mo stretchy="false">.</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mover><mtext> </mtext><mo>~</mo></mover><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
Translations to Computer Algebra Systems
Translation to Maple
In Maple:
Translation to Mathematica
In Mathematica:
Similar pages
Calculated based on the variables occurring on the entire Informationsmaße page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results