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Display information for equation id:math.2383.50 on revision:2383

* Page found: Wahrscheinlichkeitsbegriff (eq math.2383.50)

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Hash: 7bd87b56f379d6c24d08649daac3f109

TeX (original user input):

\begin{align}

& Z(a)=\left\langle {{e}^{ax}} \right\rangle =\left\langle \sum\limits_{0}^{{}}{{}}\frac{{{\left( ax \right)}^{n}}}{n!} \right\rangle =\sum\limits_{0}^{{}}{{}}\frac{{{\left( a \right)}^{n}}}{n!}{{M}_{n}} \\

& {{M}_{n}}={{\left. \frac{{{\partial }^{n}}}{\partial {{a}^{n}}}Z(a) \right|}_{a=0}}={{M}_{n}} \\
\end{align}

TeX (checked):

{\begin{aligned}&Z(a)=\left\langle {{e}^{ax}}\right\rangle =\left\langle \sum \limits _{0}^{}{}{\frac {{\left(ax\right)}^{n}}{n!}}\right\rangle =\sum \limits _{0}^{}{}{\frac {{\left(a\right)}^{n}}{n!}}{{M}_{n}}\\&{{M}_{n}}={{\left.{\frac {{\partial }^{n}}{\partial {{a}^{n}}}}Z(a)\right|}_{a=0}}={{M}_{n}}\\\end{aligned}}

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MathML (2.793 KB / 504 B) :

Z(a)=eax=0(ax)nn!=0(a)nn!MnMn=nanZ(a)|a=0=Mn
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