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Display information for equation id:math.2383.62 on revision:2383
* Page found: Wahrscheinlichkeitsbegriff (eq math.2383.62)
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Hash: 537264024e5b3ac8994194e959dc9675
TeX (original user input):
\begin{align}
& {{\left\langle x \right\rangle }_{C}}=\left\langle x \right\rangle \\
& {{\left\langle {{x}^{2}} \right\rangle }_{C}}=\left\langle {{\left( \Delta x \right)}^{2}} \right\rangle =\left\langle {{x}^{2}} \right\rangle -{{\left\langle x \right\rangle }^{2}} \\
& {{\left\langle {{x}^{3}} \right\rangle }_{C}}=\left\langle {{\left( \Delta x \right)}^{3}} \right\rangle \\
& {{\left\langle {{x}^{4}} \right\rangle }_{C}}=\left\langle {{\left( \Delta x \right)}^{4}} \right\rangle -3{{\left\langle {{\left( \Delta x \right)}^{2}} \right\rangle }^{2}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\left\langle x\right\rangle }_{C}}=\left\langle x\right\rangle \\&{{\left\langle {{x}^{2}}\right\rangle }_{C}}=\left\langle {{\left(\Delta x\right)}^{2}}\right\rangle =\left\langle {{x}^{2}}\right\rangle -{{\left\langle x\right\rangle }^{2}}\\&{{\left\langle {{x}^{3}}\right\rangle }_{C}}=\left\langle {{\left(\Delta x\right)}^{3}}\right\rangle \\&{{\left\langle {{x}^{4}}\right\rangle }_{C}}=\left\langle {{\left(\Delta x\right)}^{4}}\right\rangle -3{{\left\langle {{\left(\Delta x\right)}^{2}}\right\rangle }^{2}}\\\end{aligned}}
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MathML (3.473 KB / 415 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><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mi>C</mi></mrow></msub><mo>=</mo><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><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><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><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><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mi>C</mi></mrow></msub><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>3</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mi>C</mi></mrow></msub><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>4</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>−</mo><mn>3</mn><msup><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><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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