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Display information for equation id:math.962.26 on revision:962
* Page found: Übersicht:Thermodynamik (eq math.962.26)
(force rerendering)Occurrences on the following pages:
Hash: 4345a297f8063cca0dc6826394513b1a
TeX (original user input):
\begin{align}
& 1=\sum{{{P}_{i}}}=\sum{\exp \left( \psi -{{\lambda }_{\nu }}M_{i}^{\nu } \right)={{e}^{\psi }}{{e}^{{{\lambda }_{\nu }}}}\sum{{{e}^{M_{i}^{\nu }}}}} \\
& \Rightarrow {{e}^{-\psi }}={{e}^{{{\lambda }_{\nu }}}}\sum{{{e}^{M_{i}^{\nu }}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&1=\sum {{P}_{i}}=\sum {\exp \left(\psi -{{\lambda }_{\nu }}M_{i}^{\nu }\right)={{e}^{\psi }}{{e}^{{\lambda }_{\nu }}}\sum {{e}^{M_{i}^{\nu }}}}\\&\Rightarrow {{e}^{-\psi }}={{e}^{{\lambda }_{\nu }}}\sum {{e}^{M_{i}^{\nu }}}\\\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><mn>1</mn><mo>=</mo><mo texclass="OP">∑</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mo texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ψ</mi><mo>−</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><msubsup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mi>ψ</mi></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub></mrow></msup><mo texclass="OP">∑</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><msubsup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msubsup></mrow></msup></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>ψ</mi></mrow></mrow></msup><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub></mrow></msup><mo texclass="OP">∑</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><msubsup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msubsup></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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