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Display information for equation id:math.940.32 on revision:940
* Page found: Verallgemeinerte kanonische Verteilung (eq math.940.32)
(force rerendering)Occurrences on the following pages:
Hash: 5066d411cb7bac6af42a191fb72e25e3
TeX (original user input):
\begin{align}
& \frac{dI}{dM}=\frac{d\Psi (t)}{dt}\frac{dtM}{dM}-M\frac{dt}{dM}-t \\
& M:=\frac{d\Psi (t)}{dt} \\
& \Rightarrow \frac{dI}{dM}=-t \\
\end{align}
TeX (checked):
{\begin{aligned}&{\frac {dI}{dM}}={\frac {d\Psi (t)}{dt}}{\frac {dtM}{dM}}-M{\frac {dt}{dM}}-t\\&M:={\frac {d\Psi (t)}{dt}}\\&\Rightarrow {\frac {dI}{dM}}=-t\\\end{aligned}}
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MathML (2.251 KB / 373 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><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>I</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>M</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi mathvariant="normal">Ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi><mi>M</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>M</mi></mrow></mrow></mfrac></mrow><mo>−</mo><mi>M</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>M</mi></mrow></mrow></mfrac></mrow><mo>−</mo><mi>t</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>M</mi><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi mathvariant="normal">Ψ</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>I</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>M</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mo>−</mo><mi>t</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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