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Display information for equation id:math.2577.11 on revision:2577
* Page found: Spezifische Wärme von Festkörpern (eq math.2577.11)
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Hash: efd40bc1c5c6fc8b524ce79996c56205
TeX (original user input):
{{U}_{\omega }}=\left( \left\langle {{n}_{\omega }} \right\rangle +\frac{1}{2} \right)\hbar \omega =\left( \frac{1}{{{e}^{\beta \hbar \omega }}-1}+\frac{1}{2} \right)\hbar \omega
TeX (checked):
{{U}_{\omega }}=\left(\left\langle {{n}_{\omega }}\right\rangle +{\frac {1}{2}}\right)\hbar \omega =\left({\frac {1}{{{e}^{\beta \hbar \omega }}-1}}+{\frac {1}{2}}\right)\hbar \omega
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (1.451 KB / 336 B) :

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>ω</mi></mrow></msub></mstyle><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>ω</mi></mrow></msub><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"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi></mrow></mrow></msup><mo>−</mo><mn>1</mn></mrow></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>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi></mrow></math>
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