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Display information for equation id:math.2561.6 on revision:2561

* Page found: Das ideale Bosegas (eq math.2561.6)

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Hash: 1f36c471f911f7c07ad5034ddce68efe

TeX (original user input):

\left\langle {{N}_{j}} \right\rangle =\frac{1}{\exp \left( \frac{\left( {{E}_{j}}-\mu  \right)}{kT} \right)-k}\left\{ \begin{matrix}
   k=1  \\
   k=0  \\
   k=-1  \\
\end{matrix} \right.

TeX (checked):

\left\langle {{N}_{j}}\right\rangle ={\frac {1}{\exp \left({\frac {\left({{E}_{j}}-\mu \right)}{kT}}\right)-k}}\left\{{\begin{matrix}k=1\\k=0\\k=-1\\\end{matrix}}\right.

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MathML (experimentell; keine Bilder) rendering

MathML (1.516 KB / 401 B) :

Nj=1exp((Ejμ)kT)k{k=1k=0k=1
<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><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><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>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>&#x2212;</mo><mi>&#x03BC;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x2212;</mo><mi>k</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>k</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mo>&#x2212;</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>

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

Identifiers

  • Nj
  • Ej
  • μ
  • k
  • T
  • k
  • k
  • k
  • k

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