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Display information for equation id:math.2553.77 on revision:2553
* Page found: Das ideale Fermigas (eq math.2553.77)
(force rerendering)Occurrences on the following pages:
Hash: 43b2e70b9265244886e83a857842b3bd
TeX (original user input):
\begin{align}
& {{C}_{V}}={{\left( \frac{\partial U}{\partial T} \right)}_{V}}=\frac{{{\pi }^{2}}}{2}\bar{N}k\left( \frac{kT}{{{E}_{F}}} \right) \\
& {{c}_{V}}=\frac{{{\pi }^{2}}}{2}R\left( \frac{kT}{{{E}_{F}}} \right)\tilde{\ }T \\
\end{align}
TeX (checked):
{\begin{aligned}&{{C}_{V}}={{\left({\frac {\partial U}{\partial T}}\right)}_{V}}={\frac {{\pi }^{2}}{2}}{\bar {N}}k\left({\frac {kT}{{E}_{F}}}\right)\\&{{c}_{V}}={\frac {{\pi }^{2}}{2}}R\left({\frac {kT}{{E}_{F}}}\right){\tilde {\ }}T\\\end{aligned}}
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MathML (2.307 KB / 434 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow></msub><mo stretchy="false">=</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><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>π</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mover><mi>N</mi><mo>¯</mo></mover><mi>k</mi><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>k</mi><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>F</mi></mrow></msub></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>π</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>R</mi><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>k</mi><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>F</mi></mrow></msub></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mover><mtext> </mtext><mo>~</mo></mover><mi>T</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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