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Display information for equation id:math.968.29 on revision:968

* Page found: Übersicht:Thermodynamik (eq math.968.29)

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Occurrences on the following pages:

Hash: f1adec4ac242084005ac1180b47714b2

TeX (original user input):

\left\langle {{M}^{\nu }} \right\rangle
  ={{\partial }_{{{\lambda }_{\nu }}}}\psi \left( {{\lambda }_{\nu }} \right)
  ={{\partial }_{{{\lambda }_{\nu }}}}\left( -\ln \sum{\exp \left( -{{\lambda }_{\mu }}M_{i}^{\mu } \right)} \right)

TeX (checked):

\left\langle {{M}^{\nu }}\right\rangle ={{\partial }_{{\lambda }_{\nu }}}\psi \left({{\lambda }_{\nu }}\right)={{\partial }_{{\lambda }_{\nu }}}\left(-\ln \sum {\exp \left(-{{\lambda }_{\mu }}M_{i}^{\mu }\right)}\right)

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.463 KB / 328 B) :

Mν=λνψ(λν)=λν(lnexp(λμMiμ))
<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="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msup><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><msub><mi>&#x03BB;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub></mrow></msub><mi>&#x03C8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>&#x03BB;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><msub><mi>&#x03BB;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>&#x2212;</mo><mi>ln</mi><mo>&#x2061;</mo><mo texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>&#x2212;</mo><msub><mi>&#x03BB;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><msubsup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Übersicht:Thermodynamik page

Identifiers

  • M
  • ν
  • λν
  • ψ
  • λν
  • λν
  • λμ
  • M
  • i
  • μ

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