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Display information for equation id:math.2497.23 on revision:2497
* Page found: Thermodynamische Stabilität (eq math.2497.23)
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Hash: 2af49d27db91f0f10e2b8bbced561e04
TeX (original user input):
-\frac{\partial \left\langle {{M}^{\nu }} \right\rangle }{\partial {{\lambda }_{\mu }}}{{\lambda }_{\mu }}{{\lambda }_{\nu }}=\frac{\partial \left\langle {{M}^{\nu }} \right\rangle }{\partial {{\lambda }_{\mu }}}\frac{\partial I}{\partial \left\langle {{M}^{\nu }} \right\rangle }{{\lambda }_{\mu }}=\frac{\partial I}{\partial {{\lambda }_{\mu }}}{{\lambda }_{\mu }}\ge 0
TeX (checked):
-{\frac {\partial \left\langle {{M}^{\nu }}\right\rangle }{\partial {{\lambda }_{\mu }}}}{{\lambda }_{\mu }}{{\lambda }_{\nu }}={\frac {\partial \left\langle {{M}^{\nu }}\right\rangle }{\partial {{\lambda }_{\mu }}}}{\frac {\partial I}{\partial \left\langle {{M}^{\nu }}\right\rangle }}{{\lambda }_{\mu }}={\frac {\partial I}{\partial {{\lambda }_{\mu }}}}{{\lambda }_{\mu }}\geq 0
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MathML (2.326 KB / 322 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><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>ν</mi></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><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>ν</mi></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>I</mi></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>ν</mi></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mrow></mrow></mfrac></mrow><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>I</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mo>≥</mo><mn>0</mn></mstyle></mrow></math>
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