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Display information for equation id:math.2507.56 on revision:2507

* Page found: Das ideale Gas (eq math.2507.56)

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Occurrences on the following pages:

Hash: e871d01afee7466111bce39e84c80881

TeX (original user input):

S=k\left( \beta U-\Psi \left( \beta ,V \right) \right)=k\left( \beta U+N\ln \frac{V}{N}+N\ln \Phi \left( \beta  \right)+N \right)

TeX (checked):

S=k\left(\beta U-\Psi \left(\beta ,V\right)\right)=k\left(\beta U+N\ln {\frac {V}{N}}+N\ln \Phi \left(\beta \right)+N\right)

LaTeXML (experimentell; verwendet MathML) rendering

MathML (0 B / 8 B) :

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MathML (experimentell; keine Bilder) rendering

MathML (1.098 KB / 309 B) :

S=k(βUΨ(β,V))=k(βU+NlnVN+NlnΦ(β)+N)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mo>=</mo><mi>k</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03B2;</mi><mi>U</mi><mo>&#x2212;</mo><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03B2;</mi><mo>,</mo><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>k</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03B2;</mi><mi>U</mi><mo>+</mo><mi>N</mi><mi>ln</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></mfrac></mrow><mo>+</mo><mi>N</mi><mi>ln</mi><mo>&#x2061;</mo><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03B2;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>N</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Das ideale Gas page

Identifiers

  • S
  • k
  • β
  • U
  • Ψ
  • β
  • V
  • k
  • β
  • U
  • N
  • V
  • N
  • N
  • Φ
  • β
  • N

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