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Display information for equation id:math.2385.63 on revision:2385

* Page found: Wahrscheinlichkeitsbegriff (eq math.2385.63)

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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 (1.96 KB / 425 B) :

ρ(x)=Aexp((xx)22σ2)σ2:=(Δx)2=x2C
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>ρ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>A</mi><mi>exp</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false"></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 stretchy="false"></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 class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><mi>σ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">:=</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>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 stretchy="false">=</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 class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Identifiers

  • ρ
  • x
  • A
  • x
  • x
  • σ
  • σ
  • Δ
  • x
  • xC

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