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Display information for equation id:math.1254.328 on revision:1254

* Page found: Das d'Alembertsche Prinzip (eq math.1254.328)

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Hash: b7e5f35e805e8e5be0d4d771ccdb19ef

TeX (original user input):

I(\bar{q},\dot{\bar{q}})=\sum\limits_{i=1}^{f}{\frac{\partial L}{\partial {{{\dot{q}}}_{i}}}{{\left( \frac{d}{ds}{{h}^{s}}({{q}_{i}}) \right)}_{s=0}}}

TeX (checked):

I({\bar {q}},{\dot {\bar {q}}})=\sum \limits _{i=1}^{f}{{\frac {\partial L}{\partial {{\dot {q}}_{i}}}}{{\left({\frac {d}{ds}}{{h}^{s}}({{q}_{i}})\right)}_{s=0}}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.817 KB / 408 B) :

I(q¯,q¯˙)=i=1fLq˙i(ddshs(qi))s=0
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>I</mi><mo stretchy="false">(</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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><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>i</mi></mrow></msub></mrow></mrow></mfrac></mrow><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>s</mi></mrow></mrow></mfrac></mrow><msup><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msup><mo stretchy="false">(</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>s</mi><mo>=</mo><mn>0</mn></mrow></mrow></msub></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Das d'Alembertsche Prinzip page

Identifiers

  • I
  • q¯
  • q¯˙
  • i
  • f
  • L
  • q˙i
  • d
  • d
  • s
  • h
  • s
  • qi
  • s

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