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Display information for equation id:math.2531.10 on revision:2531
* Page found: Chemische Reaktionen (eq math.2531.10)
(force rerendering)Occurrences on the following pages:
Hash: a041a2730c9e7809e0c66dbb58b6fbb8
TeX (original user input):
\begin{align}
& 0=!=\delta G=\sum\limits_{i}^{{}}{{}}{{\left( \frac{\partial G}{\partial {{n}_{i}}} \right)}_{T,p}}\delta {{n}_{i}} \\
& {{\left( \frac{\partial G}{\partial {{n}_{i}}} \right)}_{T,p}}:={{{\tilde{\mu }}}_{i}} \\
& 0=!=\delta G=\sum\limits_{i}^{{}}{{}}{{\left( \frac{\partial G}{\partial {{n}_{i}}} \right)}_{T,p}}\delta {{n}_{i}}=\sum\limits_{i}^{{}}{{}}{{{\tilde{\mu }}}_{i}}\delta {{n}_{i}}=\sum\limits_{i}^{{}}{{}}{{{\tilde{\mu }}}_{i}}\sum\limits_{\rho }^{{}}{{}}{{v}_{i\rho }}\delta {{\xi }_{\rho }}=-\sum\limits_{\rho }^{{}}{{}}{{A}_{\rho }}\delta {{\xi }_{\rho }} \\
\end{align}
TeX (checked):
{\begin{aligned}&0=!=\delta G=\sum \limits _{i}^{}{}{{\left({\frac {\partial G}{\partial {{n}_{i}}}}\right)}_{T,p}}\delta {{n}_{i}}\\&{{\left({\frac {\partial G}{\partial {{n}_{i}}}}\right)}_{T,p}}:={{\tilde {\mu }}_{i}}\\&0=!=\delta G=\sum \limits _{i}^{}{}{{\left({\frac {\partial G}{\partial {{n}_{i}}}}\right)}_{T,p}}\delta {{n}_{i}}=\sum \limits _{i}^{}{}{{\tilde {\mu }}_{i}}\delta {{n}_{i}}=\sum \limits _{i}^{}{}{{\tilde {\mu }}_{i}}\sum \limits _{\rho }^{}{}{{v}_{i\rho }}\delta {{\xi }_{\rho }}=-\sum \limits _{\rho }^{}{}{{A}_{\rho }}\delta {{\xi }_{\rho }}\\\end{aligned}}
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<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><mn>0</mn><mo>=</mo><mi>!</mi><mo>=</mo><mi>δ</mi><mi>G</mi><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><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>G</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>T</mi><mo>,</mo><mi>p</mi></mrow></mrow></msub><mi>δ</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>G</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>T</mi><mo>,</mo><mi>p</mi></mrow></mrow></msub><mi>:</mi><mo>=</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>μ</mi><mo>~</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mn>0</mn><mo>=</mo><mi>!</mi><mo>=</mo><mi>δ</mi><mi>G</mi><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><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>G</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>T</mi><mo>,</mo><mi>p</mi></mrow></mrow></msub><mi>δ</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><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><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>μ</mi><mo>~</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>δ</mi><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><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><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>μ</mi><mo>~</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ρ</mi></mrow></mrow></msub><mi>δ</mi><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msub><mo>=</mo><mo>−</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msub><mi>δ</mi><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>ρ</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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