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Display information for equation id:math.2509.52 on revision:2509
* Page found: Reale Gase (eq math.2509.52)
(force rerendering)Occurrences on the following pages:
Hash: 36f7e176ed3a5accc4f2c91358e8bfe8
TeX (original user input):
\begin{align}
& du={{\left( \frac{\partial u}{\partial T} \right)}_{V}}dT+{{\left( \frac{\partial u}{\partial v} \right)}_{T}}dv={{c}_{v}}dT+\frac{a}{{{v}^{2}}}dv \\
& u\left( T,v \right)={{c}_{v}}T-\frac{a}{v}+const. \\
\end{align}
TeX (checked):
{\begin{aligned}&du={{\left({\frac {\partial u}{\partial T}}\right)}_{V}}dT+{{\left({\frac {\partial u}{\partial v}}\right)}_{T}}dv={{c}_{v}}dT+{\frac {a}{{v}^{2}}}dv\\&u\left(T,v\right)={{c}_{v}}T-{\frac {a}{v}}+const.\\\end{aligned}}
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MathML (2.175 KB / 440 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>d</mi><mi>u</mi><mo>=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>u</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow></msub><mi>d</mi><mi>T</mi><mo>+</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>u</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>v</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub><mi>d</mi><mi>v</mi><mo>=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub><mi>d</mi><mi>T</mi><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mi>d</mi><mi>v</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>u</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>T</mi><mo>,</mo><mi>v</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub><mi>T</mi><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></mfrac></mrow><mo>+</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi><mo>.</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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