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Display information for equation id:math.2497.8 on revision:2497
* Page found: Thermodynamische Stabilität (eq math.2497.8)
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Hash: 38ce64fe05e16cd3b33d6073b462b8dc
TeX (original user input):
\Lambda =k{{T}^{0}}K\left( \rho ,{{\rho }^{0}} \right)=-\frac{k{{T}^{0}}}{2}\frac{\partial {{\lambda }_{\nu }}}{\partial \left\langle {{M}^{\mu }} \right\rangle }\delta \left\langle {{M}^{\nu }} \right\rangle \delta \left\langle {{M}^{\mu }} \right\rangle \ge 0
TeX (checked):
\Lambda =k{{T}^{0}}K\left(\rho ,{{\rho }^{0}}\right)=-{\frac {k{{T}^{0}}}{2}}{\frac {\partial {{\lambda }_{\nu }}}{\partial \left\langle {{M}^{\mu }}\right\rangle }}\delta \left\langle {{M}^{\nu }}\right\rangle \delta \left\langle {{M}^{\mu }}\right\rangle \geq 0
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MathML (1.705 KB / 390 B) :
<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"><mi>Λ</mi><mo stretchy="false">=</mo><mi>k</mi><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><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 stretchy="false">=</mo><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mrow></mrow></mfrac></mrow><mi>δ</mi><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><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">≥</mo><mn>0</mn></mstyle></mrow></math>
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