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Display information for equation id:math.2577.19 on revision:2577
* Page found: Spezifische Wärme von Festkörpern (eq math.2577.19)
(force rerendering)Occurrences on the following pages:
Hash: 823f0188ef23bce4980f9e343363763c
TeX (original user input):
\begin{align}
& T>>{{\Theta }_{D}} \\
& \xi <<1 \\
& \Rightarrow \Psi \left( \xi \right)\approx \frac{1}{{{\xi }^{3}}}\int_{0}^{\xi }{{}}dx\frac{{{x}^{3}}}{x}=\frac{1}{3} \\
& U=3NkT \\
& {{c}_{v}}=3R \\
\end{align}
TeX (checked):
{\begin{aligned}&T>>{{\Theta }_{D}}\\&\xi <<1\\&\Rightarrow \Psi \left(\xi \right)\approx {\frac {1}{{\xi }^{3}}}\int _{0}^{\xi }{}dx{\frac {{x}^{3}}{x}}={\frac {1}{3}}\\&U=3NkT\\&{{c}_{v}}=3R\\\end{aligned}}
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MathML (experimentell; keine Bilder) rendering
MathML (1.895 KB / 494 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>T</mi><mo>></mo><mo>></mo><msub><mi mathvariant="normal">Θ</mi><mrow data-mjx-texclass="ORD"><mi>D</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>ξ</mi><mo><</mo><mo><</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><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><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"><mi>x</mi></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>U</mi><mo>=</mo><mn>3</mn><mi>N</mi><mi>k</mi><mi>T</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub><mo>=</mo><mn>3</mn><mi>R</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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