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Display information for equation id:math.2508.19 on revision:2508
* Page found: Reale Gase (eq math.2508.19)
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Hash: dfd7dbf68c3a592a9542d1d72f4b45c6
TeX (original user input):
{{Z}_{N}}=\frac{1}{N!}\Phi {{\left( \beta \right)}^{N}}{{V}^{N}}\left[ 1+\frac{N(N-1)}{V}\frac{1}{2}\int_{{}}^{{}}{{}}{{d}^{3}}rf(r) \right]
TeX (checked):
{{Z}_{N}}={\frac {1}{N!}}\Phi {{\left(\beta \right)}^{N}}{{V}^{N}}\left[1+{\frac {N(N-1)}{V}}{\frac {1}{2}}\int _{}^{}{}{{d}^{3}}rf(r)\right]
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MathML (1.588 KB / 413 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Z</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msub></mstyle><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mi>!</mi></mrow></mrow></mfrac></mrow><mi mathvariant="normal">Φ</mi><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msup><msup><mi>V</mi><mrow data-mjx-texclass="ORD"><mi>N</mi></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mn>1</mn><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>N</mi><mo stretchy="false">(</mo><mi>N</mi><mo>−</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mi>f</mi><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">]</mo></mrow></mrow></math>
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