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Display information for equation id:math.2485.43 on revision:2485

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Exergie Eq: math.2485.43

Hash: 8801ccd2ab9c4e2d634875d28c676758

TeX (original user input):

\begin{align}

& S=-kI\left( \rho  \right) \\

& {{S}^{0}}=-kI\left( {{\rho }^{0}} \right) \\

& tr\left[ \rho ({{\Psi }^{0}}-\frac{H+{{P}^{0}}V}{k{{T}^{0}}}) \right]={{\Psi }^{0}}-\frac{U+{{P}^{0}}V}{k{{T}^{0}}} \\

& tr\left[ {{\rho }^{0}}({{\Psi }^{0}}-\frac{H+{{P}^{0}}V}{k{{T}^{0}}}) \right]={{\Psi }^{0}}-\frac{{{U}^{0}}+{{P}^{0}}V}{k{{T}^{0}}} \\

\end{align}

TeX (checked):

{\begin{aligned}&S=-kI\left(\rho \right)\\&{{S}^{0}}=-kI\left({{\rho }^{0}}\right)\\&tr\left[\rho ({{\Psi }^{0}}-{\frac {H+{{P}^{0}}V}{k{{T}^{0}}}})\right]={{\Psi }^{0}}-{\frac {U+{{P}^{0}}V}{k{{T}^{0}}}}\\&tr\left[{{\rho }^{0}}({{\Psi }^{0}}-{\frac {H+{{P}^{0}}V}{k{{T}^{0}}}})\right]={{\Psi }^{0}}-{\frac {{{U}^{0}}+{{P}^{0}}V}{k{{T}^{0}}}}\\\end{aligned}}

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MathML (3.482 KB / 474 B) :

\begin{aligned} S = - k I (ρ) \\ S^{0} = - k I (ρ^{0}) \\ t r [ρ (Ψ^{0} - \frac{H + P^{0} V}{k T^{0}})] = Ψ^{0} - \frac{U + P^{0} V}{k T^{0}} \\ t r [ρ^{0} (Ψ^{0} - \frac{H + P^{0} V}{k T^{0}})] = Ψ^{0} - \frac{U^{0} + P^{0} V}{k T^{0}} \end{aligned}

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Identifiers

$S$

$k$

$I$

$ρ$

$S$

$k$

$I$

$ρ$

$t$

$r$

$ρ$

$Ψ$

$H$

$P$

$V$

$k$

$T$

$Ψ$

$U$

$P$

$V$

$k$

$T$

$t$

$r$

$ρ$

$Ψ$

$H$

$P$

$V$

$k$

$T$

$Ψ$

$U$

$P$

$V$

$k$

$T$

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