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Display information for equation id:math.2492.15 on revision:2492
* Page found: Gleichgewichtsbedingungen (eq math.2492.15)
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Hash: 31adff18f023d6c1d68354ffaa9708d7
TeX (original user input):
\Lambda =\left( U-TS+pV \right)-\left( {{U}^{0}}-{{T}^{0}}{{S}^{0}}+{{p}^{0}}{{V}^{0}} \right)-V\left( p-{{p}^{0}} \right)+S\left( T-{{T}^{0}} \right)\acute{\ }-{{\mu }_{\alpha }}^{0}\left( {{N}^{\alpha }}-{{N}^{\alpha 0}} \right)\ge 0
TeX (checked):
\Lambda =\left(U-TS+pV\right)-\left({{U}^{0}}-{{T}^{0}}{{S}^{0}}+{{p}^{0}}{{V}^{0}}\right)-V\left(p-{{p}^{0}}\right)+S\left(T-{{T}^{0}}\right){\acute {\ }}-{{\mu }_{\alpha }}^{0}\left({{N}^{\alpha }}-{{N}^{\alpha 0}}\right)\geq 0
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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 mathvariant="normal">Λ</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>U</mi><mo>−</mo><mi>T</mi><mi>S</mi><mo>+</mo><mi>p</mi><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo>−</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><msup><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo>+</mo><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><msup><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>−</mo><mi>V</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>p</mi><mo>−</mo><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>S</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>T</mi><mo>−</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>−</mo><msup><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><mo>−</mo><msup><mi>N</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mn>0</mn></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>≥</mo><mn>0</mn></mstyle></mrow></math>
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