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Display information for equation id:math.2563.10 on revision:2563
* Page found: Das Photonengas im Strahlungshohlraum (eq math.2563.10)
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Hash: be95c682ac575f97590f24228cf9819c
TeX (original user input):
\begin{align}
& \bar{N}=2\sum\limits_{{\bar{q}}}^{{}}{{}}\frac{1}{\exp \left( \frac{\hbar \omega \left( q \right)}{kT} \right)-1}=2\sum\limits_{{\bar{q}}}^{{}}{{}}\left\langle {{N}_{q}} \right\rangle \\
& U=2\sum\limits_{{\bar{q}}}^{{}}{{}}\frac{\hbar \omega \left( q \right)}{\exp \left( \frac{\hbar \omega \left( q \right)}{kT} \right)-1} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\bar {N}}=2\sum \limits _{\bar {q}}^{}{}{\frac {1}{\exp \left({\frac {\hbar \omega \left(q\right)}{kT}}\right)-1}}=2\sum \limits _{\bar {q}}^{}{}\left\langle {{N}_{q}}\right\rangle \\&U=2\sum \limits _{\bar {q}}^{}{}{\frac {\hbar \omega \left(q\right)}{\exp \left({\frac {\hbar \omega \left(q\right)}{kT}}\right)-1}}\\\end{aligned}}
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MathML (2.984 KB / 491 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"><mover><mi>N</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><mn>2</mn><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><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"><mi>exp</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"><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi><mi>ω</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>q</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mn>2</mn><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>q</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>U</mi><mo stretchy="false">=</mo><mn>2</mn><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi><mi>ω</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>q</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>exp</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"><mrow data-mjx-texclass="ORD"><mi alternate="1">ℏ</mi><mi>ω</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>q</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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