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Display information for equation id:math.2520.35 on revision:2520
* Page found: Klassisch- mechanische Gleichgewichtsverteilungen (eq math.2520.35)
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Hash: 08aebdeb868dd0398c513edbaa4d23ed
TeX (original user input):
\left\langle M \right\rangle =\sum\limits_{N=0}^{\infty }{{}}\int_{{{R}^{6N}}}^{{}}{{}}d{{\xi }_{N}}M\left( {{\xi }_{N}} \right)\rho \left( {{\xi }_{N}} \right)=\sum\limits_{N=0}^{\infty }{{}}\int_{{{R}^{6N}}}^{{}}{{}}d{{\xi }_{N}}M\left( {{\xi }_{N}} \right){{Y}^{-1}}\exp -\beta \left[ H\left( \xi \right)-\mu N \right]
TeX (checked):
\left\langle M\right\rangle =\sum \limits _{N=0}^{\infty }{}\int _{{R}^{6N}}^{}{}d{{\xi }_{N}}M\left({{\xi }_{N}}\right)\rho \left({{\xi }_{N}}\right)=\sum \limits _{N=0}^{\infty }{}\int _{{R}^{6N}}^{}{}d{{\xi }_{N}}M\left({{\xi }_{N}}\right){{Y}^{-1}}\exp -\beta \left[H\left(\xi \right)-\mu N\right]
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MathML (2.61 KB / 438 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>M</mi><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>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>6</mn><mi>N</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mi>d</mi><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mi>M</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>ρ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><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>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>6</mn><mi>N</mi></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mi>d</mi><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mi>M</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>Y</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn></mrow></mrow></msup><mi>exp</mi><mo>⁡</mo><mo>−</mo><mi>β</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ξ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>−</mo><mi>μ</mi><mi>N</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>
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