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Display information for equation id:math.2386.63 on revision:2386
* Page found: Wahrscheinlichkeitsbegriff (eq math.2386.63)
(force rerendering)Occurrences on the following pages:
Hash: 164809048836f1cd631e0a983e8fdaa6
TeX (original user input):
\begin{align}
& \rho (x)=A\exp \left( -\frac{{{\left( x-\left\langle x \right\rangle \right)}^{2}}}{2{{\sigma }^{2}}} \right) \\
& {{\sigma }^{2}}:=\left\langle {{\left( \Delta x \right)}^{2}} \right\rangle ={{\left\langle {{x}^{2}} \right\rangle }_{C}} \\
\end{align}
TeX (checked):
{\begin{aligned}&\rho (x)=A\exp \left(-{\frac {{\left(x-\left\langle x\right\rangle \right)}^{2}}{2{{\sigma }^{2}}}}\right)\\&{{\sigma }^{2}}:=\left\langle {{\left(\Delta x\right)}^{2}}\right\rangle ={{\left\langle {{x}^{2}}\right\rangle }_{C}}\\\end{aligned}}
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MathML (experimentell; keine Bilder) rendering
MathML (1.983 KB / 451 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><mi>ρ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mi>A</mi><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo>−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">Δ</mi><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mi>C</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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