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Display information for equation id:math.2432.46 on revision:2432

* Page found: Spezielle Verteilungen (eq math.2432.46)

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Hash: fd30aa4d1e8f53b9b20a67985805feec

TeX (original user input):

\begin{align}

& kT\Psi \left( \beta ,{{\mu }_{\alpha }},V \right)=-pV \\

& \Rightarrow \Psi \left( \beta ,{{\mu }_{\alpha }},V \right)=-\ln Y=\frac{-pV}{kT} \\

\end{align}

TeX (checked):

{\begin{aligned}&kT\Psi \left(\beta ,{{\mu }_{\alpha }},V\right)=-pV\\&\Rightarrow \Psi \left(\beta ,{{\mu }_{\alpha }},V\right)=-\ln Y={\frac {-pV}{kT}}\\\end{aligned}}

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MathML (1.424 KB / 386 B) :

kTΨ(β,μα,V)=pVΨ(β,μα,V)=lnY=pVkT
<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"><mi>k</mi><mi>T</mi><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><mo>,</mo><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo>,</mo><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mo stretchy="false"></mo><mi>p</mi><mi>V</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><mo>,</mo><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo>,</mo><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mo stretchy="false"></mo><mi>ln</mi><mo>&#x2061;</mo><mi>Y</mi><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false"></mo><mi>p</mi><mi>V</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Spezielle Verteilungen page

Identifiers

  • k
  • T
  • Ψ
  • β
  • μα
  • V
  • p
  • V
  • Ψ
  • β
  • μα
  • V
  • Y
  • p
  • V
  • k
  • T

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