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Display information for equation id:math.959.23 on revision:959

* Page found: Übersicht:Thermodynamik (eq math.959.23)

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Occurrences on the following pages:

Hash: 5f11904b8cd1bbb0685d000edd026373

TeX (original user input):

\delta I\left( P \right)
  =\left( \sum \ln {{P}_{i}}+\underbrace{\left( \lambda -1 \right)}_{:=\psi }
  +{{\lambda }_{\nu }}M_{i}^{\nu } \right)\delta {{P}_{i}}=0

TeX (checked):

\delta I\left(P\right)=\left(\sum \ln {{P}_{i}}+\underbrace {\left(\lambda -1\right)} _{:=\psi }+{{\lambda }_{\nu }}M_{i}^{\nu }\right)\delta {{P}_{i}}=0

LaTeXML (experimental; uses MathML) rendering

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MathML (experimental; no images) rendering

MathML (1.23 KB / 361 B) :

δI(P)=(lnPi+(λ1):=ψ+λνMiν)δPi=0
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>&#x03B4;</mi><mi>I</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>P</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo texclass="OP">&#x2211;</mo><mi>ln</mi><mo>&#x2061;</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>+</mo><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03BB;</mi><mo>&#x2212;</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x23DF;</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>:</mi><mo>=</mo><mi>&#x03C8;</mi></mrow></mrow></munder><mo>+</mo><msub><mi>&#x03BB;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><msubsup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>&#x03B4;</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mn>0</mn></mstyle></mrow></math>

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

Identifiers

  • δ
  • I
  • P
  • Pi
  • λ
  • ψ
  • λν
  • M
  • i
  • ν
  • δ
  • Pi

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