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* Page found: Klassisch- mechanische Gleichgewichtsverteilungen (eq math.2524.15)
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TeX (original user input):
\frac { d\rho \left ( \xi ,t \right )}{ dt} =\frac { \partial \rho \left ( \xi ,t \right )}{ \partial t} +\sum\limits _{ k=1}^{ 3N}{{}} \left ( \frac { \partial \rho \left ( \xi ,t \right )}{ \partial {{ q}_{ k}}}{{{ \dot { q}}}_{ k}} +\frac { \partial \rho \left ( \xi ,t \right )}{ \partial {{ p}_{ k}}}{{{ \dot { p}}}_{ k}} \right )
TeX (checked):
{ \frac { d\rho \left (\xi ,t\right )}{ dt}} ={ \frac { \partial \rho \left (\xi ,t\right )}{ \partial t}} +\sum \limits _{ k=1}^{ 3N}{} \left ({ \frac { \partial \rho \left (\xi ,t\right )}{ \partial {{ q}_{ k}}}}{{ \dot { q}}_{ k}} +{ \frac { \partial \rho \left (\xi ,t\right )}{ \partial {{ p}_{ k}}}}{{ \dot { p}}_{ k}} \right )
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d ρ ( ξ , t ) d t = ∂ ρ ( ξ , t ) ∂ t + ∑ k = 1 3 N ( ∂ ρ ( ξ , t ) ∂ q k q ˙ k + ∂ ρ ( ξ , t ) ∂ p k p ˙ k ) <math class= "mwe-math-element" xmlns= "http://www.w3.org/1998/Math/MathML" ><mrow data-mjx-texclass= "ORD" ><mstyle displaystyle= "true" scriptlevel= "0" ><mrow data-mjx-texclass= "ORD" ><mfrac><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> d</mi><mi> ρ </mi><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mi> ξ </mi><mo> ,</mo><mi> t</mi><mo data-mjx-texclass= "CLOSE" > )</mo></mrow></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> d</mi><mi> t</mi></mrow></mrow></mfrac></mrow><mo> =</mo><mrow data-mjx-texclass= "ORD" ><mfrac><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> ∂ </mi><mi> ρ </mi><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mi> ξ </mi><mo> ,</mo><mi> t</mi><mo data-mjx-texclass= "CLOSE" > )</mo></mrow></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> ∂ </mi><mi> t</mi></mrow></mrow></mfrac></mrow><mo> +</mo><munderover><mo form= "prefix" texclass= "OP" > ∑ </mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> k</mi><mo> =</mo><mn> 1</mn></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mn> 3</mn><mi> N</mi></mrow></mrow></munderover><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mrow data-mjx-texclass= "ORD" ><mfrac><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> ∂ </mi><mi> ρ </mi><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mi> ξ </mi><mo> ,</mo><mi> t</mi><mo data-mjx-texclass= "CLOSE" > )</mo></mrow></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> ∂ </mi><msub><mi> q</mi><mrow data-mjx-texclass= "ORD" ><mi> k</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> q</mi><mo> ˙</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mi> k</mi></mrow></msub><mo> +</mo><mrow data-mjx-texclass= "ORD" ><mfrac><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> ∂ </mi><mi> ρ </mi><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mi> ξ </mi><mo> ,</mo><mi> t</mi><mo data-mjx-texclass= "CLOSE" > )</mo></mrow></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> ∂ </mi><msub><mi> p</mi><mrow data-mjx-texclass= "ORD" ><mi> k</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> p</mi><mo> ˙</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mi> k</mi></mrow></msub><mo data-mjx-texclass= "CLOSE" > )</mo></mrow></mstyle></mrow></math>
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