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Display information for equation id:math.2362.25 on revision:2362
* Page found: Prüfungsfragen:Statistische Physik (eq math.2362.25)
(force rerendering)Occurrences on the following pages:
Hash: 467d5609125a3deea285632e85a99c67
TeX (original user input):
\begin{align}
S(N,V,E) &= k_\mathrm{B} \,\log Z_m(N,V,E)\\
F(N,V,T) &= - k_\mathrm{B}T \,\log Z_k(N,V,T)\\
\Omega(\mu, V, T) &= - k_\mathrm{B}T \,\log Z_g(\mu, V, T)
\end{align}
TeX (checked):
{\begin{aligned}S(N,V,E)&=k_{\mathrm {B} }\,\log Z_{m}(N,V,E)\\F(N,V,T)&=-k_{\mathrm {B} }T\,\log Z_{k}(N,V,T)\\\Omega (\mu ,V,T)&=-k_{\mathrm {B} }T\,\log Z_{g}(\mu ,V,T)\end{aligned}}
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MathML (2.013 KB / 417 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><mi>S</mi><mo stretchy="false">(</mo><mi>N</mi><mo>,</mo><mi>V</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mtd><mtd><mo>=</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">B</mi></mrow></mrow></msub><mspace width="0.167em"></mspace><mi>log</mi><mo>⁡</mo><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo stretchy="false">(</mo><mi>N</mi><mo>,</mo><mi>V</mi><mo>,</mo><mi>E</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd><mi>F</mi><mo stretchy="false">(</mo><mi>N</mi><mo>,</mo><mi>V</mi><mo>,</mo><mi>T</mi><mo stretchy="false">)</mo></mtd><mtd><mo>=</mo><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">B</mi></mrow></mrow></msub><mi>T</mi><mspace width="0.167em"></mspace><mi>log</mi><mo>⁡</mo><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>N</mi><mo>,</mo><mi>V</mi><mo>,</mo><mi>T</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd><mi mathvariant="normal">Ω</mi><mo stretchy="false">(</mo><mi>μ</mi><mo>,</mo><mi>V</mi><mo>,</mo><mi>T</mi><mo stretchy="false">)</mo></mtd><mtd><mo>=</mo><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">B</mi></mrow></mrow></msub><mi>T</mi><mspace width="0.167em"></mspace><mi>log</mi><mo>⁡</mo><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow></msub><mo stretchy="false">(</mo><mi>μ</mi><mo>,</mo><mi>V</mi><mo>,</mo><mi>T</mi><mo stretchy="false">)</mo></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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