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Display information for equation id:math.2392.62 on revision:2392
* Page found: Informationsmaße (eq math.2392.62)
(force rerendering)Occurrences on the following pages:
Hash: 703e1ad39e72799b0974bd900e1403c4
TeX (original user input):
\begin{align}
& I(P)=\sum\limits_{i}^{{}}{{}}{{\Delta }^{d}}x\rho \left( {{x}^{i}} \right)\ln \left( \rho \left( {{x}^{i}} \right) \right) \\
& {{\Delta }^{d}}x\to 0 \\
& I(\rho )=\int_{{}}^{{}}{{{d}^{d}}x}\rho \ln \rho \\
\end{align}
TeX (checked):
{\begin{aligned}&I(P)=\sum \limits _{i}^{}{}{{\Delta }^{d}}x\rho \left({{x}^{i}}\right)\ln \left(\rho \left({{x}^{i}}\right)\right)\\&{{\Delta }^{d}}x\to 0\\&I(\rho )=\int _{}^{}{{{d}^{d}}x}\rho \ln \rho \\\end{aligned}}
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MathML (experimentell; keine Bilder) rendering
MathML (1.957 KB / 479 B) :
<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><mi>I</mi><mo stretchy="false">(</mo><mi>P</mi><mo stretchy="false">)</mo><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msup><mi mathvariant="normal">Δ</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msup><mi>x</mi><mi>ρ</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>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ρ</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><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi mathvariant="normal">Δ</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msup><mi>x</mi><mo accent="false">→</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mi>I</mi><mo stretchy="false">(</mo><mi>ρ</mi><mo stretchy="false">)</mo><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msup><mi>x</mi></mrow><mi>ρ</mi><mi>ln</mi><mo>⁡</mo><mi>ρ</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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