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Display information for equation id:math.2485.39 on revision:2485
* Page found: Exergie (eq math.2485.39)
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Hash: 5bd9d381074da8c0c7fece596a1658a7
TeX (original user input):
K\left( \rho ,{{\rho }^{0}} \right)=tr\left[ \rho \left( \ln \rho -\ln {{\rho }^{0}} \right) \right]=I(\rho )-I({{\rho }^{0}})-tr\left[ \left( \rho -{{\rho }^{0}} \right)\left( \ln {{\rho }^{0}} \right) \right]
TeX (checked):
K\left(\rho ,{{\rho }^{0}}\right)=tr\left[\rho \left(\ln \rho -\ln {{\rho }^{0}}\right)\right]=I(\rho )-I({{\rho }^{0}})-tr\left[\left(\rho -{{\rho }^{0}}\right)\left(\ln {{\rho }^{0}}\right)\right]
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MathML (experimentell; keine Bilder) rendering
MathML (1.622 KB / 324 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>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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ln</mi><mo>⁡</mo><mi>ρ</mi><mo>−</mo><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 data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mi>I</mi><mo stretchy="false">(</mo><mi>ρ</mi><mo stretchy="false">)</mo><mo>−</mo><mi>I</mi><mo stretchy="false">(</mo><msup><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo stretchy="false">)</mo><mo>−</mo><mi>t</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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 data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>
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