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Display information for equation id:math.2362.33 on revision:2362
* Page found: Prüfungsfragen:Statistische Physik (eq math.2362.33)
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Hash: d90e37a691feef8ba6c99f4079dc9509
TeX (original user input):
\left\langle f\left( X \right) \right\rangle =\sum\limits_{n=1}^{d}{{{p}_{n}}f\left( {{x}_{n}} \right)=\int_{-\infty }^{\infty }{dxp\left( x \right)f\left( x \right)}}
TeX (checked):
\left\langle f\left(X\right)\right\rangle =\sum \limits _{n=1}^{d}{{{p}_{n}}f\left({{x}_{n}}\right)=\int _{-\infty }^{\infty }{dxp\left(x\right)f\left(x\right)}}
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MathML (1.556 KB / 370 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="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>f</mi><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><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><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><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>x</mi><mi>p</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>f</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></mstyle></mrow></math>
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