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Display information for equation id:math.2441.67 on revision:2441

* Page found: Spezielle Verteilungen (eq math.2441.67)

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Spezielle Verteilungen Eq: math.2441.67

Hash: f115f16d9e4ff748470c346436f41875

TeX (original user input):

\begin{align}

& \omega =\int_{{}}^{{}}{d\xi }\delta \left( U-H\left( \xi  \right) \right)=\frac{d\Omega }{dU} \\

& wegen \\

& \frac{d}{dx}\Theta \left( x \right)=\delta \left( x \right) \\

& \Rightarrow \Omega \left( U \right)=\int_{{}}^{{}}{d\xi }\Theta \left( U-H\left( \xi  \right) \right) \\

& \Theta \left( U-H\left( \xi  \right) \right)=\left\{ \begin{matrix}

1f\ddot{u}rH\left( \xi  \right)<U  \\

0,sonst  \\

\end{matrix} \right. \\

\end{align}

TeX (checked):

{\begin{aligned}&\omega =\int _{}^{}{d\xi }\delta \left(U-H\left(\xi \right)\right)={\frac {d\Omega }{dU}}\\&wegen\\&{\frac {d}{dx}}\Theta \left(x\right)=\delta \left(x\right)\\&\Rightarrow \Omega \left(U\right)=\int _{}^{}{d\xi }\Theta \left(U-H\left(\xi \right)\right)\\&\Theta \left(U-H\left(\xi \right)\right)=\left\{{\begin{matrix}1f{\ddot {u}}rH\left(\xi \right)<U\\0,sonst\\\end{matrix}}\right.\\\end{aligned}}

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\begin{aligned} ω = \int_{}^{} d ξ δ (U - H (ξ)) = \frac{d Ω}{d U} \\ w e g e n \\ \frac{d}{d x} Θ (x) = δ (x) \\ \Rightarrow Ω (U) = \int_{}^{} d ξ Θ (U - H (ξ)) \\ Θ (U - H (ξ)) = {\begin{matrix} 1 f \ddot{u} r H (ξ) < U \\ 0, s o n s t \end{matrix} \end{aligned}

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In Mathematica:

Identifiers

$ω$

$ξ$

$δ$

$U$

$H$

$ξ$

$d$

$Ω$

$d$

$U$

$w$

$e$

$g$

$e$

$n$

$d$

$d$

$x$

$Θ$

$x$

$δ$

$x$

$Ω$

$U$

$ξ$

$Θ$

$U$

$H$

$ξ$

$Θ$

$U$

$H$

$ξ$

$f$

$\ddot{u}$

$r$

$H$

$ξ$

$U$

$s$

$o$

$n$

$s$

$t$

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