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Display information for equation id:math.1321.42 on revision:1321

* Page found: Das Hamiltonsche Prinzip (eq math.1321.42)

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Occurrences on the following pages:

Hash: 119ac6adbe0d0baae935eb90bcdca311

TeX (original user input):

\begin{align}
  & \delta W=0 \\
 & W:=\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt}F=\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt}L({{q}_{1}},...{{q}_{f}},{{{\dot{q}}}_{1}},...,{{{\dot{q}}}_{f}},t)=\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt}T-V \\
\end{align}

TeX (checked):

{\begin{aligned}&\delta W=0\\&W:=\int \limits _{{t}_{1}}^{{t}_{2}}{dt}F=\int \limits _{{t}_{1}}^{{t}_{2}}{dt}L({{q}_{1}},...{{q}_{f}},{{\dot {q}}_{1}},...,{{\dot {q}}_{f}},t)=\int \limits _{{t}_{1}}^{{t}_{2}}{dt}T-V\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (2.267 KB / 447 B) :

δW=0W:=t1t2dtF=t1t2dtL(q1,...qf,q˙1,...,q˙f,t)=t1t2dtTV
<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"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>&#x03B4;</mi><mi>W</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mi>W</mi><mi>:</mi><mo>=</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"><mi>d</mi><mi>t</mi></mrow><mi>F</mi><mo>=</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"><mi>d</mi><mi>t</mi></mrow><mi>L</mi><mo stretchy="false">(</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></msub><mo>,</mo><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"><mn>1</mn></mrow></msub><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><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>f</mi></mrow></msub><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</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"><mi>d</mi><mi>t</mi></mrow><mi>T</mi><mo>&#x2212;</mo><mi>V</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Das Hamiltonsche Prinzip page

Identifiers

  • δ
  • W
  • W
  • t1
  • t2
  • t
  • F
  • t1
  • t2
  • t
  • L
  • q1
  • qf
  • q˙1
  • q˙f
  • t
  • t1
  • t2
  • t
  • T
  • V

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