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Display information for equation id:math.936.97 on revision:936
* Page found: Verallgemeinerte kanonische Verteilung (eq math.936.97)
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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}
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<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mn>1</mn><mo stretchy="false">+</mo><mi>ξ</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>Ξ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</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 stretchy="false">−</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 stretchy="false">−</mo><mi>Ξ</mi><mo stretchy="false">+</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 stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</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>Ξ</mi><mo stretchy="false">−</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 class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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