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Display information for equation id:math.2529.27 on revision:2529
* Page found: Chemische Reaktionen (eq math.2529.27)
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Hash: ae5919bae488421aa36f0c6daa7c5f45
TeX (original user input):
\begin{align}
& \Rightarrow {{Q}_{\nu }}^{\left( \rho \right)}:=-\Delta U=-{{\left( \frac{\partial U}{\partial {{\xi }_{\rho }}} \right)}_{T,V}}\Delta {{\xi }_{\rho }}=\sum\limits_{i}^{{}}{{}}{{v}_{i\rho }}{{\left( \frac{\partial U}{\partial {{n}_{i}}} \right)}_{T,V}}=\sum\limits_{i}^{{}}{{}}{{v}_{i\rho }}{{u}_{i}}(T) \\
& \Rightarrow {{Q}_{\nu }}^{\left( \rho \right)}:=\sum\limits_{i}^{{}}{{}}{{v}_{i\rho }}{{u}_{i}}(T) \\
\end{align}
TeX (checked):
{\begin{aligned}&\Rightarrow {{Q}_{\nu }}^{\left(\rho \right)}:=-\Delta U=-{{\left({\frac {\partial U}{\partial {{\xi }_{\rho }}}}\right)}_{T,V}}\Delta {{\xi }_{\rho }}=\sum \limits _{i}^{}{}{{v}_{i\rho }}{{\left({\frac {\partial U}{\partial {{n}_{i}}}}\right)}_{T,V}}=\sum \limits _{i}^{}{}{{v}_{i\rho }}{{u}_{i}}(T)\\&\Rightarrow {{Q}_{\nu }}^{\left(\rho \right)}:=\sum \limits _{i}^{}{}{{v}_{i\rho }}{{u}_{i}}(T)\\\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><mo>⇒</mo><msup><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msup><mi>:</mi><mo>=</mo><mo>−</mo><mi mathvariant="normal">Δ</mi><mi>U</mi><mo>=</mo><mo>−</mo><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>U</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>ρ</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>V</mi></mrow></mrow></msub><mi mathvariant="normal">Δ</mi><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>ρ</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><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ρ</mi></mrow></mrow></msub><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>U</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>V</mi></mrow></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><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ρ</mi></mrow></mrow></msub><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><msup><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msup><mi>:</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><mi>v</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ρ</mi></mrow></mrow></msub><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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