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Display information for equation id:math.940.97 on revision:940
* Page found: Verallgemeinerte kanonische Verteilung (eq math.940.97)
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Hash: d837e410b09d0e24ab84e0df06c37b18
TeX (original user input):
\begin{align}
& \Rightarrow 1+\xi =-\Xi \\
& \sum\limits_{i}^{{}}{{}}\left( \ln {{P}_{i}}-\ln {{P}_{i}}^{0}-\Xi +{{\xi }_{\sigma }}{{V}_{i}}^{\sigma } \right)\delta {{P}_{i}}=0 \\
& \Rightarrow {{P}_{i}}={{P}_{i}}^{0}\exp \left( \Xi -{{\xi }_{\sigma }}{{V}_{i}}^{\sigma } \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&\Rightarrow 1+\xi =-\Xi \\&\sum \limits _{i}^{}{}\left(\ln {{P}_{i}}-\ln {{P}_{i}}^{0}-\Xi +{{\xi }_{\sigma }}{{V}_{i}}^{\sigma }\right)\delta {{P}_{i}}=0\\&\Rightarrow {{P}_{i}}={{P}_{i}}^{0}\exp \left(\Xi -{{\xi }_{\sigma }}{{V}_{i}}^{\sigma }\right)\\\end{aligned}}
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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"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mo>⇒</mo><mn>1</mn><mo>+</mo><mi>ξ</mi><mo>=</mo><mo>−</mo><mi mathvariant="normal">Ξ</mi></mtd></mtr><mtr><mtd></mtd><mtd><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ln</mi><mo>⁡</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>−</mo><mi>ln</mi><mo>⁡</mo><msup><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo>−</mo><mi mathvariant="normal">Ξ</mi><mo>+</mo><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msub><msup><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>δ</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><msup><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">Ξ</mi><mo>−</mo><msub><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msub><msup><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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