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Display information for equation id:math.2528.17 on revision:2528

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Hash: 939b6a25f87a5b3638cf281242e72422

TeX (original user input): 

S\left( T,p,{{n}_{i}} \right)=\sum\limits_{i}^{{}}{{}}{{n}_{i}}{{s}_{i}}\left( T,p,{{x}_{i}} \right)=\sum\limits_{i}^{{}}{{}}{{n}_{i}}\left( {{c}_{pi}}\ln T-R\ln p-R\ln {{x}_{i}}+const. \right)

TeX (checked): 

S\left(T,p,{{n}_{i}}\right)=\sum \limits _{i}^{}{}{{n}_{i}}{{s}_{i}}\left(T,p,{{x}_{i}}\right)=\sum \limits _{i}^{}{}{{n}_{i}}\left({{c}_{pi}}\ln T-R\ln p-R\ln {{x}_{i}}+const.\right)

LaTeXML (experimentell; verwendet MathML) rendering

MathML (11.239 KB / 1.705 KB) :

S ( T , p , n i ) = ∑ i n i s i ( T , p , x i ) = ∑ i n i ( c p ⁢ i ln T - R ln p - R ln x i + c o n s t . ) fragments S fragments ( T , p , subscript 𝑛 𝑖 ) subscript 𝑖 subscript 𝑛 𝑖 subscript 𝑠 𝑖 fragments ( T , p , subscript 𝑥 𝑖 ) subscript 𝑖 subscript 𝑛 𝑖 fragments ( subscript 𝑐 𝑝 𝑖 T R p R subscript 𝑥 𝑖 c o n s t . ) {\displaystyle{\displaystyle S\left(T,p,{{n}_{i}}\right)=\sum\limits_{i}{{}}{{% n}_{i}}{{s}_{i}}\left(T,p,{{x}_{i}}\right)=\sum\limits_{i}{{}}{{n}_{i}}\left({% {c}_{pi}}\ln T-R\ln p-R\ln{{x}_{i}}+const.\right)}} 
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MathML (1.645 KB / 354 B) :

S(T,p,ni)=∑inisi(T,p,xi)=∑ini(cpiln⁡T−Rln⁡p−Rln⁡xi+const.)
<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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo>,</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</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"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</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"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>i</mi></mrow></mrow></msub><mi>ln</mi><mo>&#x2061;</mo><mi>T</mi><mo>&#x2212;</mo><mi>R</mi><mi>ln</mi><mo>&#x2061;</mo><mi>p</mi><mo>&#x2212;</mo><mi>R</mi><mi>ln</mi><mo>&#x2061;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>+</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi><mo>.</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Translation to Mathematica

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Calculated based on the variables occurring on the entire Mehrkomponentige ideale Gase page

Identifiers

  • S
  • T
  • p
  • ni
  • i
  • ni
  • si
  • T
  • p
  • xi
  • i
  • ni
  • cpi
  • T
  • R
  • p
  • R
  • xi
  • c
  • o
  • n
  • s
  • t

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