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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 (experimentell; keine Bilder) rendering

MathML (1.646 KB / 342 B) :

η=1+Q1Q2=1T1T2Q1T1+Q2T2=0
<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>&#x03B7;</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>&#x2212;</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>&#x21D2;</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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Calculated based on the variables occurring on the entire Die Hauptsätze der Thermodynamik page

Identifiers

  • η
  • Q1
  • Q2
  • T1
  • T2
  • Q1
  • T1
  • Q2
  • T2

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