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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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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}}}
TeX (checked):
\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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MathML (3.691 KB / 414 B) :
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