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Display information for equation id:math.2717.31 on revision:2717

* Page found: Fermis Goldene Regel (eq math.2717.31)

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Hash: 1802f56eba682fc24796113f93cd07ab

TeX (original user input):

\begin{align}
  & \underset{\varepsilon \to 0}{\mathop{\lim }}\,\frac{1}{\varepsilon }f\left( \frac{x}{\varepsilon } \right)=\delta \left( x \right) \\ 
 & \underset{t\to \infty }{\mathop{\lim }}\,tf\left( tx \right)=\delta \left( x \right) \\ 
 & \underset{t\to \infty }{\mathop{\lim }}\,t\frac{1}{\pi }{{\operatorname{sinc}}^{2}}\left( tx \right)=\delta \left( x \right)  
\end{align}

TeX (checked):

{\begin{aligned}&{\underset {\varepsilon \to 0}{\mathop {\lim } }}\,{\frac {1}{\varepsilon }}f\left({\frac {x}{\varepsilon }}\right)=\delta \left(x\right)\\&{\underset {t\to \infty }{\mathop {\lim } }}\,tf\left(tx\right)=\delta \left(x\right)\\&{\underset {t\to \infty }{\mathop {\lim } }}\,t{\frac {1}{\pi }}{{\operatorname {sinc} }^{2}}\left(tx\right)=\delta \left(x\right)\end{aligned}}

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MathML (2.601 KB / 466 B) :

\begin{aligned} \lim_{ε \to 0} \frac{1}{ε} f (\frac{x}{ε}) = δ (x) \\ \lim_{t \to \infty} t f (t x) = δ (x) \\ \lim_{t \to \infty} t \frac{1}{π} {sinc}^{2} (t x) = δ (x) \end{aligned}

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$ε$

$ε$

$f$

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$ε$

$δ$

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$t$

$t$

$f$

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$π$

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$δ$

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