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Display information for equation id:math.2389.61 on revision:2389
* Page found: Informationsmaße (eq math.2389.61)
(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 (1.926 KB / 452 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>I</mi><mo stretchy="false">(</mo><mi>P</mi><mo stretchy="false">)</mo><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><msup><mi>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 class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><mi>Δ</mi><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></msup><mi>x</mi><mo stretchy="false" accent="false">→</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>I</mi><mo stretchy="false">(</mo><mi>ρ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><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 class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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