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Display information for equation id:math.2284.2 on revision:2284

* Page found: Beispiel des Großkanonischen Ensenbles (eq math.2284.2)

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TeX (original user input):

\begin{align}
  & R=\frac{1}{Z}{{e}^{-\sum\limits_{\nu }{{{\lambda }_{\nu }}{{G}_{\nu }}}}} \\
 & {{R}_{gk}}=\frac{1}{{{Z}_{gk}}}{{e}^{-{{\lambda }_{1}}H-{{\lambda }_{2}}N}} 
\end{align}

TeX (checked):

{\begin{aligned}&R={\frac {1}{Z}}{{e}^{-\sum \limits _{\nu }{{{\lambda }_{\nu }}{{G}_{\nu }}}}}\\&{{R}_{gk}}={\frac {1}{{Z}_{gk}}}{{e}^{-{{\lambda }_{1}}H-{{\lambda }_{2}}N}}\end{aligned}}

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MathML (1.706 KB / 396 B) :

R=1ZeνλνGνRgk=1Zgkeλ1Hλ2N
<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><mi>R</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>Z</mi></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><munder><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></munder><mrow data-mjx-texclass="ORD"><msub><mi>&#x03BB;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub></mrow></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mi>k</mi></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>g</mi><mi>k</mi></mrow></mrow></msub></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><msub><mi>&#x03BB;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>H</mi><mo>&#x2212;</mo><msub><mi>&#x03BB;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>N</mi></mrow></mrow></msup></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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

Identifiers

  • R
  • Z
  • e
  • ν
  • λν
  • Gν
  • Rgk
  • Zgk
  • e
  • λ1
  • H
  • λ2
  • N

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