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Display information for equation id:math.2569.14 on revision:2569
* Page found: Das Photonengas im Strahlungshohlraum (eq math.2569.14)
(force rerendering)Occurrences on the following pages:
Hash: 4519e88e483097c46795b3be7ea46336
TeX (original user input):
\begin{align}
& h\nu <<kT \\
& u\left( \nu ,T \right)\cong \frac{8\pi h}{{{c}^{3}}}\frac{{{\nu }^{3}}}{\frac{h\nu }{kT}}=\frac{8\pi }{{{c}^{3}}}{{\nu }^{2}}kT \\
\end{align}
TeX (checked):
{\begin{aligned}&h\nu <<kT\\&u\left(\nu ,T\right)\cong {\frac {8\pi h}{{c}^{3}}}{\frac {{\nu }^{3}}{\frac {h\nu }{kT}}}={\frac {8\pi }{{c}^{3}}}{{\nu }^{2}}kT\\\end{aligned}}
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MathML (experimentell; keine Bilder) rendering
MathML (1.781 KB / 413 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>h</mi><mi>ν</mi><mo><</mo><mo><</mo><mi>k</mi><mi>T</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>u</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ν</mi><mo>,</mo><mi>T</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>≅</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>8</mn><mi>π</mi><mi>h</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>h</mi><mi>ν</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"><mrow data-mjx-texclass="ORD"><mn>8</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mfrac></mrow><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>k</mi><mi>T</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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