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Display information for equation id:math.971.34 on revision:971
* Page found: Übersicht:Thermodynamik (eq math.971.34)
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Hash: 094d09a5b7e78a82baa232f24f7a3271
TeX (original user input):
S=-kI=-k\operatorname{Tr}\left( \hat{\rho }\ln \left( {\hat{\rho }} \right) \right)=-k\left( \psi -{{\lambda }_{\nu }}{{M}^{\nu }} \right)=k\left( {{\lambda }_{\nu }}{{M}^{\nu }}-\psi \left( \left\{ {{\lambda }_{\mu }} \right\} \right) \right)
TeX (checked):
S=-kI=-k\operatorname {Tr} \left({\hat {\rho }}\ln \left({\hat {\rho }}\right)\right)=-k\left(\psi -{{\lambda }_{\nu }}{{M}^{\nu }}\right)=k\left({{\lambda }_{\nu }}{{M}^{\nu }}-\psi \left(\left\{{{\lambda }_{\mu }}\right\}\right)\right)
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MathML (1.746 KB / 360 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mo>=</mo><mo>−</mo><mi>k</mi><mi>I</mi><mo>=</mo><mo>−</mo><mi>k</mi><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ρ</mi><mo>^</mo></mover></mrow></mrow><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ρ</mi><mo>^</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mo>−</mo><mi>k</mi><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><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>k</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><mo>−</mo><mi>ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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