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Display information for equation id:math.2446.9 on revision:2446
* Page found: Thermodynamischer Limes (eq math.2446.9)
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Hash: a318af26e131cc0869327f2c11ead501
TeX (original user input):
\begin{align}
& \Rightarrow \frac{\partial S(\alpha z)}{\partial \alpha }=\frac{\partial }{\partial \alpha }\left( \alpha S(z) \right)=S(z) \\
& \frac{\partial S(\alpha z)}{\partial \alpha }=\sum\limits_{n}^{{}}{{}}\frac{\partial S(\alpha z)}{\partial \left( \alpha \left\langle {{M}^{n}} \right\rangle \right)}\left\langle {{M}^{n}} \right\rangle \\
\end{align}
TeX (checked):
{\begin{aligned}&\Rightarrow {\frac {\partial S(\alpha z)}{\partial \alpha }}={\frac {\partial }{\partial \alpha }}\left(\alpha S(z)\right)=S(z)\\&{\frac {\partial S(\alpha z)}{\partial \alpha }}=\sum \limits _{n}^{}{}{\frac {\partial S(\alpha z)}{\partial \left(\alpha \left\langle {{M}^{n}}\right\rangle \right)}}\left\langle {{M}^{n}}\right\rangle \\\end{aligned}}
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MathML (experimentell; keine Bilder) rendering
MathML (2.641 KB / 447 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><mo>⇒</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>S</mi><mo stretchy="false">(</mo><mi>α</mi><mi>z</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>α</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>α</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>α</mi><mi>S</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>S</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>S</mi><mo stretchy="false">(</mo><mi>α</mi><mi>z</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>α</mi></mrow></mrow></mfrac></mrow><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>S</mi><mo stretchy="false">(</mo><mi>α</mi><mi>z</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>α</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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