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Display information for equation id:math.2435.30 on revision:2435

* Page found: Spezielle Verteilungen (eq math.2435.30)

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Hash: 07447ee409040c29ba645afe3a02f3b5

TeX (original user input):

\begin{align}

& U\left( S,\bar{M} \right)=TS+\bar{B}\bar{M}+kT\Psi \left( \beta ,\bar{B} \right) \\

& dU=TdS+\bar{B}d\bar{M} \\

& TdS=\delta Q \\

& \bar{B}d\bar{M}=\delta W \\

\end{align}

TeX (checked):

{\begin{aligned}&U\left(S,{\bar {M}}\right)=TS+{\bar {B}}{\bar {M}}+kT\Psi \left(\beta ,{\bar {B}}\right)\\&dU=TdS+{\bar {B}}d{\bar {M}}\\&TdS=\delta Q\\&{\bar {B}}d{\bar {M}}=\delta W\\\end{aligned}}

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MathML (1.568 KB / 371 B) :

U(S,M¯)=TS+B¯M¯+kTΨ(β,B¯)dU=TdS+B¯dM¯TdS=δQB¯dM¯=δW
<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>U</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>S</mi><mo>,</mo><mover><mi>M</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>T</mi><mi>S</mi><mo stretchy="false">+</mo><mover><mi>B</mi><mo>¯</mo></mover><mover><mi>M</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><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><mover><mi>B</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>d</mi><mi>U</mi><mo stretchy="false">=</mo><mi>T</mi><mi>d</mi><mi>S</mi><mo stretchy="false">+</mo><mover><mi>B</mi><mo>¯</mo></mover><mi>d</mi><mover><mi>M</mi><mo>¯</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>T</mi><mi>d</mi><mi>S</mi><mo stretchy="false">=</mo><mi>δ</mi><mi>Q</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>B</mi><mo>¯</mo></mover><mi>d</mi><mover><mi>M</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><mi>δ</mi><mi>W</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Identifiers

  • U
  • S
  • M¯
  • T
  • S
  • B¯
  • M¯
  • k
  • T
  • Ψ
  • β
  • B¯
  • d
  • U
  • T
  • d
  • S
  • B¯
  • d
  • M¯
  • T
  • d
  • S
  • δ
  • Q
  • B¯
  • d
  • M¯
  • δ
  • W

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