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Display information for equation id:math.2507.7 on revision:2507

* Page found: Das ideale Gas (eq math.2507.7)

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Hash: 552b83c4eb84ce4f54d5a496fa0ee6ee

TeX (original user input):

\sum\limits_{N=0}^{\infty }{{}}\int_{{{R}_{+}}^{6N}}^{{}}{{}}d{{\xi }_{N}}\rho \left( {{\xi }_{N}} \right)=\sum\limits_{N=0}^{\infty }{{}}\frac{1}{N!}\int_{{{R}^{6N}}}^{{}}{{}}d{{\xi }_{N}}\rho \left( {{\xi }_{N}} \right)=1

TeX (checked):

\sum \limits _{N=0}^{\infty }{}\int _{{{R}_{+}}^{6N}}^{}{}d{{\xi }_{N}}\rho \left({{\xi }_{N}}\right)=\sum \limits _{N=0}^{\infty }{}{\frac {1}{N!}}\int _{{R}^{6N}}^{}{}d{{\xi }_{N}}\rho \left({{\xi }_{N}}\right)=1

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (2.084 KB / 390 B) :

N=0R+6NdξNρ(ξN)=N=01N!R6NdξNρ(ξN)=1
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mo>=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><msup><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>6</mn><mi>N</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mi>d</mi><msub><mi>&#x03BE;</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mi>&#x03C1;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>&#x03BE;</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mo>=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mi>!</mi></mrow></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>6</mn><mi>N</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mi>d</mi><msub><mi>&#x03BE;</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mi>&#x03C1;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>&#x03BE;</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mn>1</mn></mstyle></mrow></math>

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

Identifiers

  • N
  • R+
  • N
  • ξN
  • ρ
  • ξN
  • N
  • N
  • R
  • N
  • ξN
  • ρ
  • ξN

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