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Display information for equation id:math.2509.12 on revision:2509
* Page found: Reale Gase (eq math.2509.12)
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Hash: 1aaf49c26adcbc3bd6e87f8d581de86f
TeX (original user input):
\int_{{{R}^{3}}}^{{}}{{}}{{f}_{ij}}(r){{d}^{3}}r=\int_{0}^{\infty }{{}}\left( {{e}^{-\beta \phi (r)}}-1 \right)4\pi {{r}^{2}}dr
TeX (checked):
\int _{{R}^{3}}^{}{}{{f}_{ij}}(r){{d}^{3}}r=\int _{0}^{\infty }{}\left({{e}^{-\beta \phi (r)}}-1\right)4\pi {{r}^{2}}dr
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MathML (1.359 KB / 394 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>β</mi><mi>ϕ</mi><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo>−</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mn>4</mn><mi>π</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>d</mi><mi>r</mi></mstyle></mrow></math>
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