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Display information for equation id:math.1495.41 on revision:1495

* Page found: D'Alembertsches Prinzip der virtuellen Arbeit (eq math.1495.41)

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Hash: d9fa5da10d939c3e62ebe8f64687c86d

TeX (original user input):

\sum\limits_{j=\nu +1}^{3N}{\left( {{m}_{j}}{{{\ddot{r}}}_{j}}-{{X}_{j}}-\sum\limits_{n=1}^{\nu }{{{\lambda }_{n}}{{b}_{j}}^{n}} \right)\delta {{r}_{j}}=0}

TeX (checked):

\sum \limits _{j=\nu +1}^{3N}{\left({{m}_{j}}{{\ddot {r}}_{j}}-{{X}_{j}}-\sum \limits _{n=1}^{\nu }{{{\lambda }_{n}}{{b}_{j}}^{n}}\right)\delta {{r}_{j}}=0}

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MathML (1.5 KB / 380 B) :

j=ν+13N(mjr¨jXjn=1νλnbjn)δrj=0
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>j</mi><mo>=</mo><mi>&#x03BD;</mi><mo>+</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>3</mn><mi>N</mi></mrow></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¨</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>&#x2212;</mo><msub><mi>X</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>&#x2212;</mo><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><msub><mi>&#x03BB;</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><msup><msub><mi>b</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>&#x03B4;</mi><msub><mi>r</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo>=</mo><mn>0</mn></mrow></mstyle></mrow></math>

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Identifiers

  • j
  • ν
  • N
  • mj
  • r¨j
  • Xj
  • n
  • ν
  • λn
  • bj
  • n
  • δ
  • rj

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