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Display information for equation id:math.2573.44 on revision:2573
* Page found: Spezifische Wärme zweiatomiger idealer Gase (eq math.2573.44)
(force rerendering)Occurrences on the following pages:
Hash: b6d6e99a6651f6b7e7e3660d3405ec00
TeX (original user input):
\begin{align}
& {{U}_{S}}\approx N\left( \frac{1}{\frac{\hbar \omega }{kT}}+\frac{1}{2} \right)\hbar \omega \approx N\left( kT+\frac{1}{2}\hbar \omega \right) \\
& {{C}_{Vs}}\approx Nk \\
& {{c}_{Vs}}\approx NkR \\
\end{align}
TeX (checked):
{\begin{aligned}&{{U}_{S}}\approx N\left({\frac {1}{\frac {\hbar \omega }{kT}}}+{\frac {1}{2}}\right)\hbar \omega \approx N\left(kT+{\frac {1}{2}}\hbar \omega \right)\\&{{C}_{Vs}}\approx Nk\\&{{c}_{Vs}}\approx NkR\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (experimentell; keine Bilder) rendering
MathML (1.996 KB / 416 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><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo>≈</mo><mi>N</mi><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"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></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><mo>≈</mo><mi>N</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>k</mi><mi>T</mi><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><mi data-mjx-alternate="1">ℏ</mi><mi>ω</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>V</mi><mi>s</mi></mrow></mrow></msub><mo>≈</mo><mi>N</mi><mi>k</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>V</mi><mi>s</mi></mrow></mrow></msub><mo>≈</mo><mi>N</mi><mi>k</mi><mi>R</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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