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Display information for equation id:math.863.13 on revision:863

* Page found: Hamiltonsches Prinzip (eq math.863.13)

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Occurrences on the following pages:

Hash: 33de6309f4b2f80100069ca0609765e8

TeX (original user input):

\delta S\left[ q \right]=--\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{\left( {{\partial }_{q}}L\delta q-{{d}_{t}}\left( {{\partial }_{{\dot{q}}}}L \right)\delta q \right)dt}

TeX (checked):

\delta S\left[q\right]=--\int \limits _{{t}_{1}}^{{t}_{2}}{\left({{\partial }_{q}}L\delta q-{{d}_{t}}\left({{\partial }_{\dot {q}}}L\right)\delta q\right)dt}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.307 KB / 366 B) :

δS[q]=t1t2(qLδqdt(q˙L)δq)dt
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>&#x03B4;</mi><mi>S</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>q</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mo>&#x2212;</mo><mo>&#x2212;</mo><munderover><mo form="prefix" texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>q</mi></mrow></msub><mi>L</mi><mi>&#x03B4;</mi><mi>q</mi><mo>&#x2212;</mo><msub><mi>d</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow></mrow></msub><mi>L</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>&#x03B4;</mi><mi>q</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>d</mi><mi>t</mi></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Hamiltonsches Prinzip page

Identifiers

  • δ
  • S
  • q
  • t1
  • t2
  • q
  • L
  • δ
  • q
  • dt
  • q˙
  • L
  • δ
  • q
  • t

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