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Display information for equation id:math.2492.3 on revision:2492
* Page found: Gleichgewichtsbedingungen (eq math.2492.3)
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Hash: baed84b822ef912550edd3bc00916304
TeX (original user input):
K\left( \rho ,{{\rho }^{0}} \right)=tr\left[ \rho \ln \rho -{{\rho }^{0}}\ln {{\rho }^{0}}-\left( \rho -{{\rho }^{0}} \right)\ln {{\rho }^{0}} \right]=I-{{I}^{0}}+{{\lambda }_{\nu }}^{0}\left( \left\langle {{M}^{\nu }} \right\rangle -{{\left\langle {{M}^{\nu }} \right\rangle }^{0}} \right)
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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"><mi>K</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ρ</mi><mo>,</mo><msup><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>t</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>ρ</mi><mi>ln</mi><mo>⁡</mo><mi>ρ</mi><mo>−</mo><msup><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi>ln</mi><mo>⁡</mo><msup><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo>−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ρ</mi><mo>−</mo><msup><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>ln</mi><mo>⁡</mo><msup><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mi>I</mi><mo>−</mo><msup><mi>I</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo>+</mo><msup><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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