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Display information for equation id:math.2719.32 on revision:2719
* Page found: Fermis Goldene Regel (eq math.2719.32)
(force rerendering)Occurrences on the following pages:
Hash: aa8ee10095bc883fb9eaf67cf927030e
TeX (original user input):
\begin{align}
& \underset{E \to 0}{\mathop{\lim }}\,\frac{1}{E }f\left( \frac{x}{E } \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 {E\to 0}{\mathop {\lim } }}\,{\frac {1}{E}}f\left({\frac {x}{E}}\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 (2.58 KB / 471 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="OP"><mi>lim</mi></mrow><mrow data-mjx-texclass="ORD"><mi>E</mi><mo accent="false">→</mo><mn>0</mn></mrow></munder></mrow><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></mfrac></mrow><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow><mrow data-mjx-texclass="ORD"><mi>E</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="OP"><mi>lim</mi></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi><mo accent="false">→</mo><mi mathvariant="normal">∞</mi></mrow></munder></mrow><mspace width="0.167em"></mspace><mi>t</mi><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="OP"><mi>lim</mi></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi><mo accent="false">→</mo><mi mathvariant="normal">∞</mi></mrow></munder></mrow><mspace width="0.167em"></mspace><mi>t</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>π</mi></mrow></mfrac></mrow><msup><mi data-mjx-texclass="OP" mathvariant="normal">sinc</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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