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Display information for equation id:math.2577.14 on revision:2577
* Page found: Spezifische Wärme von Festkörpern (eq math.2577.14)
(force rerendering)Occurrences on the following pages:
Hash: 5e076a6e6807fa656edf7f82b4c371d5
TeX (original user input):
\begin{align}
& U=9NkT\Psi \left( \frac{{{\Theta }_{D}}}{T} \right)+{{U}_{0}} \\
& \Psi \left( \xi \right):=\frac{1}{{{\xi }^{3}}}\int_{0}^{\xi }{{}}dx\frac{{{x}^{3}}}{{{e}^{x}}-1} \\
& \xi =\frac{{{\Theta }_{D}}}{T} \\
\end{align}
TeX (checked):
{\begin{aligned}&U=9NkT\Psi \left({\frac {{\Theta }_{D}}{T}}\right)+{{U}_{0}}\\&\Psi \left(\xi \right):={\frac {1}{{\xi }^{3}}}\int _{0}^{\xi }{}dx{\frac {{x}^{3}}{{{e}^{x}}-1}}\\&\xi ={\frac {{\Theta }_{D}}{T}}\\\end{aligned}}
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MathML (2.211 KB / 499 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>U</mi><mo>=</mo><mn>9</mn><mi>N</mi><mi>k</mi><mi>T</mi><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">Θ</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ξ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>ξ</mi></mrow></munderover></mstyle><mi>d</mi><mi>x</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msup><mo>−</mo><mn>1</mn></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>ξ</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">Θ</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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