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Display information for equation id:math.2566.42 on revision:2566
* Page found: Das Photonengas im Strahlungshohlraum (eq math.2566.42)
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Hash: 037a8333824b6d3d1f7234bea61e3812
TeX (original user input):
\begin{align}
& kT>>h\nu \Rightarrow \begin{matrix}
\lim \\
T->\infty \\
\end{matrix}u\left( \nu ,T \right)=\frac{8\pi }{{{c}^{3}}}{{\nu }^{2}}kT \\
& \Rightarrow a=\frac{8\pi }{{{c}^{3}}}h{{\nu }^{3}} \\
\end{align}
TeX (checked):
{\begin{aligned}&kT>>h\nu \Rightarrow {\begin{matrix}\lim \\T->\infty \\\end{matrix}}u\left(\nu ,T\right)={\frac {8\pi }{{c}^{3}}}{{\nu }^{2}}kT\\&\Rightarrow a={\frac {8\pi }{{c}^{3}}}h{{\nu }^{3}}\\\end{aligned}}
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MathML (1.763 KB / 455 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>k</mi><mi>T</mi><mo>></mo><mo>></mo><mi>h</mi><mi>ν</mi><mo stretchy="false">⇒</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mo>lim</mo></mtd></mtr><mtr><mtd><mi>T</mi><mo stretchy="false">−</mo><mo>></mo><mi mathvariant="normal">∞</mi></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><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 stretchy="false">=</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 class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mi>a</mi><mo stretchy="false">=</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><mi>h</mi><msup><mi>ν</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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