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Display information for equation id:math.2384.56 on revision:2384

* Page found: Wahrscheinlichkeitsbegriff (eq math.2384.56)

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Wahrscheinlichkeitsbegriff Eq: math.2386.56

Hash: 49495050801ffdb3f0be27776ec65d22

TeX (original user input):

\begin{align}
& {{\left. \frac{{{\partial }^{n1}}....{{\partial }^{nd}}}{\partial {{a}_{1}}^{n1}....{{a}_{d}}^{nd}}\Gamma \left( a \right) \right|}_{a=0}}={{C}_{n1,n2,...nd}} \\
& \Rightarrow \Gamma \left( a \right)=\ln \left\langle {{e}^{ax}} \right\rangle =\sum\limits_{n1...nd}^{{}}{{}}\frac{{{a}_{1}}^{n1}...{{a}_{d}}^{nd}}{n1!...nd!}{{C}_{n1,n2,...nd}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\left.{\frac {{{\partial }^{n1}}....{{\partial }^{nd}}}{\partial {{a}_{1}}^{n1}....{{a}_{d}}^{nd}}}\Gamma \left(a\right)\right|}_{a=0}}={{C}_{n1,n2,...nd}}\\&\Rightarrow \Gamma \left(a\right)=\ln \left\langle {{e}^{ax}}\right\rangle =\sum \limits _{n1...nd}^{}{}{\frac {{{a}_{1}}^{n1}...{{a}_{d}}^{nd}}{n1!...nd!}}{{C}_{n1,n2,...nd}}\\\end{aligned}}

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\begin{aligned} {\frac{\partial^{n 1} . . . . \partial^{n d}}{\partial {a_{1}}^{n 1} . . . . {a_{d}}^{n d}} Γ (a) |}_{a = 0} = C_{n 1, n 2, . . . n d} \\ \Rightarrow Γ (a) = \ln ⟨ e^{a x} ⟩ = \sum_{n 1 . . . n d}^{} \frac{{a_{1}}^{n 1} . . . {a_{d}}^{n d}}{n 1! . . . n d!} C_{n 1, n 2, . . . n d} \end{aligned}

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Identifiers

$n$

$n$

$d$

$a_{1}$

$n$

$a_{d}$

$n$

$d$

$Γ$

$a$

$a$

$C$

$n$

$n$

$n$

$d$

$Γ$

$a$

$e$

$a$

$x$

$n$

$n$

$d$

$a_{1}$

$n$

$a_{d}$

$n$

$d$

$n$

$n$

$d$

$C$

$n$

$n$

$n$

$d$

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