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Display information for equation id:math.1989.14 on revision:1989
* Page found: Hamilton-Jacobische Differenzialgleichung (eq math.1989.14)
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Hash: 218074c6b60659bc9ebdf418161ed2c1
TeX (original user input):
{{p}_{j}}=\frac{\partial S}{\partial {{q}_{j}}}={{p}_{j}}\left( \bar{q},\bar{\alpha },t \right)={{p}_{j}}\left( \bar{q}(\bar{\alpha },\bar{\beta }),\bar{\alpha },t \right)
TeX (checked):
{{p}_{j}}={\frac {\partial S}{\partial {{q}_{j}}}}={{p}_{j}}\left({\bar {q}},{\bar {\alpha }},t\right)={{p}_{j}}\left({\bar {q}}({\bar {\alpha }},{\bar {\beta }}),{\bar {\alpha }},t\right)
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MathML (1.716 KB / 331 B) :

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mstyle><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>α</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>α</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>β</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>α</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></math>
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