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Display information for equation id:math.2392.89 on revision:2392

* Page found: Informationsmaße (eq math.2392.89)

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Informationsmaße Eq: math.2392.89

Hash: 64fece880453b5e0973357db8efe4cf3

TeX (original user input):

\begin{align}

& {{P}_{i}}=\rho \left( {{x}^{i}} \right){{\Delta }^{d}}x \\

& K\left( P,P\acute{\ } \right)=\sum\limits_{i}^{{}}{{}}{{\Delta }^{d}}x\rho \left( {{x}^{i}} \right)\ln \frac{\rho \left( {{x}^{i}} \right)}{\rho \acute{\ }\left( {{x}^{i}} \right)} \\

\end{align}

TeX (checked):

{\begin{aligned}&{{P}_{i}}=\rho \left({{x}^{i}}\right){{\Delta }^{d}}x\\&K\left(P,P{\acute {\ }}\right)=\sum \limits _{i}^{}{}{{\Delta }^{d}}x\rho \left({{x}^{i}}\right)\ln {\frac {\rho \left({{x}^{i}}\right)}{\rho {\acute {\ }}\left({{x}^{i}}\right)}}\\\end{aligned}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.363 KB / 482 B) :

\begin{aligned} P_{i} = ρ (x^{i}) Δ^{d} x \\ K (P, P \overset{´}{}) = \sum_{i}^{} Δ^{d} x ρ (x^{i}) \ln \frac{ρ (x^{i})}{ρ \overset{´}{} (x^{i})} \end{aligned}

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mi>&#x03C1;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi mathvariant="normal">&#x0394;</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msup><mi>x</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>K</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>P</mi><mo>,</mo><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msup><mi mathvariant="normal">&#x0394;</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msup><mi>x</mi><mi>&#x03C1;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>ln</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03C1;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Identifiers

$P_{i}$

$ρ$

$x$

$i$

$Δ$

$d$

$x$

$K$

$P$

$P$

$\overset{´}{}$

$i$

$Δ$

$d$

$x$

$ρ$

$x$

$i$

$ρ$

$x$

$i$

$ρ$

$\overset{´}{}$

$x$

$i$

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