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Display information for equation id:math.2284.10 on revision:2284

* Page found: Beispiel des Großkanonischen Ensenbles (eq math.2284.10)

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Hash: e62a5e9dc0dd2b1c267be9e35b258467

TeX (original user input):

{{S}_{gk}}\left( E,\overline{N},V \right)=k\beta E-k\beta \mu \overline{N}+k\ln {{Z}_{gk}}\left( \beta \mu V \right)

TeX (checked):

{{S}_{gk}}\left(E,{\overline {N}},V\right)=k\beta E-k\beta \mu {\overline {N}}+k\ln {{Z}_{gk}}\left(\beta \mu V\right)

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MathML (1023 B / 308 B) :

Sgk(E,N,V)=kβEkβμN+klnZgk(βμV)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mi>k</mi></mrow></mrow></msub></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>E</mi><mo>,</mo><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>&#x203E;</mo></mover></mrow><mo>,</mo><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>k</mi><mi>&#x03B2;</mi><mi>E</mi><mo>&#x2212;</mo><mi>k</mi><mi>&#x03B2;</mi><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>&#x203E;</mo></mover></mrow><mo>+</mo><mi>k</mi><mi>ln</mi><mo>&#x2061;</mo><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mi>k</mi></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03B2;</mi><mi>&#x03BC;</mi><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></math>

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Calculated based on the variables occurring on the entire Beispiel des Großkanonischen Ensenbles page

Identifiers

  • Sgk
  • E
  • N
  • V
  • k
  • β
  • E
  • k
  • β
  • μ
  • N
  • k
  • Zgk
  • β
  • μ
  • V

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