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Display information for equation id:math.2555.13 on revision:2555

* Page found: Das ideale Fermigas (eq math.2555.13)

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Das ideale Fermigas Eq: math.2555.13

Hash: 8feaace4adcd6c169f5c6d55b65949c0

TeX (original user input):

\left\langle {{N}_{j}} \right\rangle =\sum\limits_{{{N}_{1}}=0}^{1}{{}}\sum\limits_{{{N}_{2}}=0}^{1}{{}}...\left\{ {{N}_{j}}\frac{{{t}_{1}}^{{{N}_{1}}}}{1+{{t}_{1}}}...\frac{{{t}_{j}}^{{{N}_{j}}}}{1+{{t}_{j}}}.... \right\}=\sum\limits_{{{N}_{j}}=0}^{1}{{}}{{N}_{j}}.\frac{{{t}_{j}}^{{{N}_{j}}}}{1+{{t}_{j}}}=\frac{0{{t}_{j}}^{0}+1{{t}_{j}}}{1+{{t}_{j}}}=\frac{{{t}_{j}}}{1+{{t}_{j}}}

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⟨ N_{j} ⟩ = \sum_{N_{1} = 0}^{1} \sum_{N_{2} = 0}^{1} . . . {N_{j} \frac{{t_{1}}^{N_{1}}}{1 + t_{1}} . . . \frac{{t_{j}}^{N_{j}}}{1 + t_{j}} . . . .} = \sum_{N_{j} = 0}^{1} N_{j} . \frac{{t_{j}}^{N_{j}}}{1 + t_{j}} = \frac{0 {t_{j}}^{0} + 1 t_{j}}{1 + t_{j}} = \frac{t_{j}}{1 + t_{j}}

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