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Display information for equation id:math.2461.46 on revision:2461
* Page found: Die Hauptsätze der Thermodynamik (eq math.2461.46)
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Hash: 7a44db25e2ede862f512b1d299458c49
TeX (original user input):
\begin{align}
& a\left( {{\vartheta }_{1}} \right)b\left( {{\vartheta }_{3}} \right)=a\left( {{\vartheta }_{1}} \right)b\left( {{\vartheta }_{2}} \right)a\left( {{\vartheta }_{2}} \right)b\left( {{\vartheta }_{3}} \right) \\
& 1=b\left( {{\vartheta }_{2}} \right)a\left( {{\vartheta }_{2}} \right) \\
& \Rightarrow b\left( {{\vartheta }_{2}} \right)=\frac{1}{a\left( {{\vartheta }_{2}} \right)} \\
& \Rightarrow f\left( {{\vartheta }_{1}},{{\vartheta }_{2}} \right)=\frac{a\left( {{\vartheta }_{1}} \right)}{a\left( {{\vartheta }_{2}} \right)} \\
\end{align}
TeX (checked):
{\begin{aligned}&a\left({{\vartheta }_{1}}\right)b\left({{\vartheta }_{3}}\right)=a\left({{\vartheta }_{1}}\right)b\left({{\vartheta }_{2}}\right)a\left({{\vartheta }_{2}}\right)b\left({{\vartheta }_{3}}\right)\\&1=b\left({{\vartheta }_{2}}\right)a\left({{\vartheta }_{2}}\right)\\&\Rightarrow b\left({{\vartheta }_{2}}\right)={\frac {1}{a\left({{\vartheta }_{2}}\right)}}\\&\Rightarrow f\left({{\vartheta }_{1}},{{\vartheta }_{2}}\right)={\frac {a\left({{\vartheta }_{1}}\right)}{a\left({{\vartheta }_{2}}\right)}}\\\end{aligned}}
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