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Display information for equation id:math.2532.10 on revision:2532

* Page found: Chemische Reaktionen (eq math.2532.10)

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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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MathML (33.207 KB / 3.779 KB) :

0 = ! = δ G = ∑ i ( ∂ ⁡ G ∂ ⁡ n i ) T , p δ n i ( ∂ ⁡ G ∂ ⁡ n i ) T , p := μ ~ i 0 = ! = δ G = ∑ i ( ∂ ⁡ G ∂ ⁡ n i ) T , p δ n i = ∑ i μ ~ i δ n i = ∑ i μ ~ i ∑ ρ v i ⁢ ρ δ ξ ρ = - ∑ ρ A ρ δ ξ ρ absent fragments 0 δ G subscript 𝑖 subscript fragments ( 𝐺 subscript 𝑛 𝑖 ) 𝑇 𝑝 δ subscript 𝑛 𝑖 absent assign subscript 𝐺 subscript 𝑛 𝑖 𝑇 𝑝 subscript ~ 𝜇 𝑖 absent fragments 0 δ G subscript 𝑖 subscript fragments ( 𝐺 subscript 𝑛 𝑖 ) 𝑇 𝑝 δ subscript 𝑛 𝑖 subscript 𝑖 subscript ~ 𝜇 𝑖 δ subscript 𝑛 𝑖 subscript 𝑖 subscript ~ 𝜇 𝑖 subscript 𝜌 subscript 𝑣 𝑖 𝜌 δ subscript 𝜉 𝜌 subscript 𝜌 subscript 𝐴 𝜌 δ subscript 𝜉 𝜌 {\displaystyle{\displaystyle\begin{aligned} \par&\displaystyle 0=!=\delta G=% \sum\limits_{i}{{}}{{\left(\frac{\partial G}{\partial{{n}_{i}}}\right)}_{T,p}}% \delta{{n}_{i}}\\ \par&\displaystyle{{\left(\frac{\partial G}{\partial{{n}_{i}}}\right)}_{T,p}}:% ={{{\tilde{\mu}}}_{i}}\\ \par&\displaystyle 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}}\\ \par\end{aligned}}}

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MathML (4.392 KB / 517 B) :

0=!=δG=∑i(∂G∂ni)T,pδni(∂G∂ni)T,p:=μ~i0=!=δG=∑i(∂G∂ni)T,pδni=∑iμ~iδni=∑iμ~i∑ρviρδξρ=−∑ρAρδξρ

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“