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Display information for equation id:math.2385.60 on revision:2385
* Page found: Wahrscheinlichkeitsbegriff (eq math.2385.60)
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Hash: 39f34dc731289908aa5586c1bd3aa487
TeX (original user input):
\left\langle {{\left( \Delta x \right)}^{2}} \right\rangle =\left\langle {{\left( x-\left\langle x \right\rangle \right)}^{2}} \right\rangle =\left\langle {{x}^{2}} \right\rangle -2\left\langle x \right\rangle \left\langle x \right\rangle +{{\left\langle x \right\rangle }^{2}}=\left\langle {{x}^{2}} \right\rangle -{{\left\langle x \right\rangle }^{2}}
TeX (checked):
\left\langle {{\left(\Delta x\right)}^{2}}\right\rangle =\left\langle {{\left(x-\left\langle x\right\rangle \right)}^{2}}\right\rangle =\left\langle {{x}^{2}}\right\rangle -2\left\langle x\right\rangle \left\langle x\right\rangle +{{\left\langle x\right\rangle }^{2}}=\left\langle {{x}^{2}}\right\rangle -{{\left\langle x\right\rangle }^{2}}
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MathML (2.058 KB / 317 B) :
<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"><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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><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><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</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 stretchy="false">−</mo><mn>2</mn><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="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">+</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><mo stretchy="false">=</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 stretchy="false">−</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></mstyle></mrow></math>
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