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Display information for equation id:math.983.1 on revision:983

* Page found: Gase (eq math.983.1)

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Gase Eq: math.983.1

Hash: a354ccf7daf8c8982150795ebb7457cd

TeX (original user input):

\Xi =\sum\limits_{{{N}_{1}},...{{N}_{l}}}{\exp \left( -\beta \underbrace{\sum\limits_{j=1}^{l}{\left( {{E}_{j}}-\mu  \right){{N}_{j}}}}_{\text{Besetzungszahl}} \right)=\prod\limits_{j=1}^{l}{\underbrace{\sum\limits_{{{N}_{j}}}{\exp \left( -\beta \left( {{E}_{j}}-\mu  \right){{N}_{j}} \right)}}_{\text{Teilchenzahl}}}}\underbrace{=}_{\text{Fermionen}}\prod\limits_{j=1}^{l}{1+\exp \left( -\beta \left( {{E}_{j}}-\mu  \right) \right)}

TeX (checked):

\Xi =\sum \limits _{{{N}_{1}},...{{N}_{l}}}{\exp \left(-\beta \underbrace {\sum \limits _{j=1}^{l}{\left({{E}_{j}}-\mu \right){{N}_{j}}}} _{\text{Besetzungszahl}}\right)=\prod \limits _{j=1}^{l}{\underbrace {\sum \limits _{{N}_{j}}{\exp \left(-\beta \left({{E}_{j}}-\mu \right){{N}_{j}}\right)}} _{\text{Teilchenzahl}}}}\underbrace {=} _{\text{Fermionen}}\prod \limits _{j=1}^{l}{1+\exp \left(-\beta \left({{E}_{j}}-\mu \right)\right)}

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MathML (3.411 KB / 496 B) :

Ξ = \sum_{N_{1}, . . . N_{l}} \exp (- β \underset{Besetzungszahl}{\underset{⏟}{\sum_{j = 1}^{l} (E_{j} - μ) N_{j}}}) = \prod_{j = 1}^{l} \underset{Teilchenzahl}{\underset{⏟}{\sum_{N_{j}} \exp (- β (E_{j} - μ) N_{j})}} \underset{Fermionen}{\underset{⏟}{=}} \prod_{j = 1}^{l} 1 + \exp (- β (E_{j} - μ))

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Identifiers

$Ξ$

$N_{1}$

$N_{l}$

$β$

$j$

$l$

$E_{j}$

$μ$

$N_{j}$

$j$

$l$

$N_{j}$

$β$

$E_{j}$

$μ$

$N_{j}$

$j$

$l$

$β$

$E_{j}$

$μ$

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