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Display information for equation id:math.2280.17 on revision:2280
* Page found: Beispiel des Großkanonischen Ensenbles (eq math.2280.17)
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Hash: cd040bce9706b4565ff3a8163ee0d595
TeX (original user input):
\begin{align}
& {{T}^{-1}}={{\left( \frac{\partial S}{\partial E} \right)}_{V,\bar{N}}} \\
& \mu =-T{{\left( \frac{\partial S}{\partial \bar{N}} \right)}_{V,E}} \\
& p=kT{{\partial }_{V}}\left( \ln {{Z}_{gk}} \right)
\end{align}
TeX (checked):
{\begin{aligned}&{{T}^{-1}}={{\left({\frac {\partial S}{\partial E}}\right)}_{V,{\bar {N}}}}\\&\mu =-T{{\left({\frac {\partial S}{\partial {\bar {N}}}}\right)}_{V,E}}\\&p=kT{{\partial }_{V}}\left(\ln {{Z}_{gk}}\right)\end{aligned}}
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MathML (2.171 KB / 453 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><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn></mrow></mrow></msup><mo>=</mo><msub><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>∂</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>E</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>V</mi><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>μ</mi><mo>=</mo><mo>−</mo><mi>T</mi><msub><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>∂</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>V</mi><mo>,</mo><mi>E</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>p</mi><mo>=</mo><mi>k</mi><mi>T</mi><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ln</mi><mo>⁡</mo><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mi>k</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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