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Display information for equation id:math.2511.29 on revision:2511
* Page found: Reale Gase (eq math.2511.29)
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Hash: 6e8fed4ae19e90531cfbd5cbb7259ef7
TeX (original user input):
\bar{N}=\left\langle N \right\rangle ={{\left( \frac{\partial \Psi }{\partial \alpha } \right)}_{\beta ,V}}=-{{\left( \frac{\partial \ln Y}{\partial \alpha } \right)}_{\beta ,V}}=\xi {{\left( \frac{\partial \ln Y}{\partial \xi } \right)}_{\beta ,V}}\approx \xi V+2{{\xi }^{2}}BV
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<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"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>N</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi mathvariant="normal">Ψ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>α</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mo>,</mo><mi>V</mi></mrow></mrow></msub><mo>=</mo><mo>−</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ln</mi><mo>⁡</mo><mi>Y</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>α</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mo>,</mo><mi>V</mi></mrow></mrow></msub><mo>=</mo><mi>ξ</mi><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ln</mi><mo>⁡</mo><mi>Y</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ξ</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mo>,</mo><mi>V</mi></mrow></mrow></msub><mo>≈</mo><mi>ξ</mi><mi>V</mi><mo>+</mo><mn>2</mn><msup><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>B</mi><mi>V</mi></mstyle></mrow></math>
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