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Display information for equation id:math.2382.64 on revision:2382
* Page found: Wahrscheinlichkeitsbegriff (eq math.2382.64)
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Hash: f07334b4994a245cfdf665a1e2512c80
TeX (original user input):
\begin{align}
& \int_{-\infty }^{\infty }{{}}dx\rho (x)=A\sigma \sqrt{2}\int_{-\infty }^{\infty }{{}}du\exp \left( -{{u}^{2}} \right)=!=1 \\
& u:=\frac{x}{\sigma \sqrt{2}} \\
\end{align}
TeX (checked):
{\begin{aligned}&\int _{-\infty }^{\infty }{}dx\rho (x)=A\sigma {\sqrt {2}}\int _{-\infty }^{\infty }{}du\exp \left(-{{u}^{2}}\right)=!=1\\&u:={\frac {x}{\sigma {\sqrt {2}}}}\\\end{aligned}}
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MathML (1.84 KB / 468 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><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mi>d</mi><mi>x</mi><mi>ρ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>A</mi><mi>σ</mi><mrow data-mjx-texclass="ORD"><msqrt><mn>2</mn></msqrt></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mi>d</mi><mi>u</mi><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>−</mo><msup><mi>u</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>!</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd><mtd><mi>u</mi><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>σ</mi><mrow data-mjx-texclass="ORD"><msqrt><mn>2</mn></msqrt></mrow></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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