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Display information for equation id:math.2461.50 on revision:2461
* Page found: Die Hauptsätze der Thermodynamik (eq math.2461.50)
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Hash: aababccf88b4fd54f24cb371135d435e
TeX (original user input):
\begin{align}
& \eta =1+\frac{{{Q}_{1}}}{{{Q}_{2}}}=1-\frac{{{T}_{1}}}{{{T}_{2}}} \\
& \Rightarrow \frac{{{Q}_{1}}}{{{T}_{1}}}+\frac{{{Q}_{2}}}{{{T}_{2}}}=0 \\
\end{align}
TeX (checked):
{\begin{aligned}&\eta =1+{\frac {{Q}_{1}}{{Q}_{2}}}=1-{\frac {{T}_{1}}{{T}_{2}}}\\&\Rightarrow {\frac {{Q}_{1}}{{T}_{1}}}+{\frac {{Q}_{2}}{{T}_{2}}}=0\\\end{aligned}}
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MathML (1.646 KB / 342 B) :

<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><mi>η</mi><mo>=</mo><mn>1</mn><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow><mo>=</mo><mn>1</mn><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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