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Display information for equation id:math.2497.53 on revision:2497

* Page found: Thermodynamische Stabilität (eq math.2497.53)

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Occurrences on the following pages:

Hash: 7709bd10018b4449fb25f07258d250fe

TeX (original user input):

\begin{align}

& {{\left\langle {{M}^{l}} \right\rangle }_{c}}={{\left( kT \right)}^{l-1}}{{\left( \frac{{{\partial }^{l-1}}}{\partial {{\xi }^{l-1}}}{{\left\langle M \right\rangle }_{\xi }} \right)}_{\xi =0}} \\

& \lambda =\frac{\xi }{kT} \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\left\langle {{M}^{l}}\right\rangle }_{c}}={{\left(kT\right)}^{l-1}}{{\left({\frac {{\partial }^{l-1}}{\partial {{\xi }^{l-1}}}}{{\left\langle M\right\rangle }_{\xi }}\right)}_{\xi =0}}\\&\lambda ={\frac {\xi }{kT}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (0 B / 8 B) :

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MathML (experimentell; keine Bilder) rendering

MathML (2.082 KB / 438 B) :

Mlc=(kT)l1(l1ξl1Mξ)ξ=0λ=ξkT
<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><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msup><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>k</mi><mi>T</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>&#x2212;</mo><mn>1</mn></mrow></mrow></msup><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>&#x2212;</mo><mn>1</mn></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msup><mi>&#x03BE;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mo>&#x2212;</mo><mn>1</mn></mrow></mrow></msup></mrow></mrow></mfrac></mrow><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>M</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03BE;</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x03BE;</mi><mo>=</mo><mn>0</mn></mrow></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>&#x03BB;</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03BE;</mi></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></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Thermodynamische Stabilität page

Identifiers

  • M
  • l
  • c
  • k
  • T
  • l
  • l
  • ξ
  • l
  • Mξ
  • ξ
  • λ
  • ξ
  • k
  • T

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