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Display information for equation id:math.2555.53 on revision:2555

* Page found: Das ideale Fermigas (eq math.2555.53)

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Hash: 13ebeae762db081ecabfc0c7e3acddc9

TeX (original user input):

\begin{align}

& {{F}_{\frac{1}{2}}}\left( \eta  \right)\approx \frac{2}{\sqrt{\pi }}\left[ \frac{{{\left( \eta  \right)}^{\frac{3}{2}}}}{\frac{3}{2}}+\frac{{{\pi }^{2}}}{12}{{\left( \eta  \right)}^{-\frac{1}{2}}} \right] \\

& {{F}_{\frac{3}{2}}}\left( \eta  \right)\approx \frac{4}{3\sqrt{\pi }}\left[ \frac{{{\left( \eta  \right)}^{\frac{5}{2}}}}{\frac{5}{2}}+\frac{{{\pi }^{2}}}{4}{{\left( \eta  \right)}^{\frac{1}{2}}} \right] \\

\end{align}

TeX (checked):

{\begin{aligned}&{{F}_{\frac {1}{2}}}\left(\eta \right)\approx {\frac {2}{\sqrt {\pi }}}\left[{\frac {{\left(\eta \right)}^{\frac {3}{2}}}{\frac {3}{2}}}+{\frac {{\pi }^{2}}{12}}{{\left(\eta \right)}^{-{\frac {1}{2}}}}\right]\\&{{F}_{\frac {3}{2}}}\left(\eta \right)\approx {\frac {4}{3{\sqrt {\pi }}}}\left[{\frac {{\left(\eta \right)}^{\frac {5}{2}}}{\frac {5}{2}}}+{\frac {{\pi }^{2}}{4}}{{\left(\eta \right)}^{\frac {1}{2}}}\right]\\\end{aligned}}

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MathML (4.15 KB / 461 B) :

F12(η)2π[(η)3232+π212(η)12]F32(η)43π[(η)5252+π24(η)12]
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Calculated based on the variables occurring on the entire Das ideale Fermigas page

Identifiers

  • F
  • η
  • π
  • η
  • π
  • η
  • F
  • η
  • π
  • η
  • π
  • η

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