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Display information for equation id:math.1989.30 on revision:1989
* Page found: Hamilton-Jacobische Differenzialgleichung (eq math.1989.30)
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Hash: 39bdeab00515651a40f3967577370b2d
TeX (original user input):
S(q,\alpha ,t)=m\omega \int{dq}\sqrt{\left( \frac{2\alpha }{m{{\omega }^{2}}}-{{q}^{2}} \right)}-\alpha t+{{V}_{0}}
TeX (checked):
S(q,\alpha ,t)=m\omega \int {dq}{\sqrt {\left({\frac {2\alpha }{m{{\omega }^{2}}}}-{{q}^{2}}\right)}}-\alpha t+{{V}_{0}}
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MathML (1.078 KB / 347 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi><mo stretchy="false">(</mo><mi>q</mi><mo>,</mo><mi>α</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mi>m</mi><mi>ω</mi><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>q</mi></mrow><mrow data-mjx-texclass="ORD"><msqrt><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"><mn>2</mn><mi>α</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>−</mo><msup><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></msqrt></mrow><mo>−</mo><mi>α</mi><mi>t</mi><mo>+</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>
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