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Display information for equation id:math.2528.10 on revision:2528
* Page found: Mehrkomponentige ideale Gase (eq math.2528.10)
(force rerendering)Occurrences on the following pages:
Hash: e8fcf45936c6ec3866e1d5841bd3e483
TeX (original user input):
\begin{align}
& \Delta S={{n}_{1}}\left( {{s}_{1}}\acute{\ }-{{s}_{1}} \right)+{{n}_{2}}\left( {{s}_{2}}\acute{\ }-{{s}_{2}} \right)={{n}_{1}}R\ln \frac{V}{{{V}_{1}}}+{{n}_{2}}R\ln \frac{V}{{{V}_{2}}} \\
& \frac{V}{{{V}_{i}}}>1 \\
& \Rightarrow \Delta S>0 \\
\end{align}
TeX (checked):
{\begin{aligned}&\Delta S={{n}_{1}}\left({{s}_{1}}{\acute {\ }}-{{s}_{1}}\right)+{{n}_{2}}\left({{s}_{2}}{\acute {\ }}-{{s}_{2}}\right)={{n}_{1}}R\ln {\frac {V}{{V}_{1}}}+{{n}_{2}}R\ln {\frac {V}{{V}_{2}}}\\&{\frac {V}{{V}_{i}}}>1\\&\Rightarrow \Delta S>0\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (experimentell; keine Bilder) rendering
MathML (2.475 KB / 486 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 mathvariant="normal">Δ</mi><mi>S</mi><mo>=</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>−</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>−</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>R</mi><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mfrac></mrow><mo>+</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>R</mi><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mfrac></mrow><mo>></mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi mathvariant="normal">Δ</mi><mi>S</mi><mo>></mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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