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Display information for equation id:math.817.0 on revision:817

* Page found: Lagrange-Funktion (eq math.817.0)

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Hash: 16b1b1af60ba66c072ec021fa43d3201

TeX (original user input):

L\left( \underline{q},\underline{{\dot{q}}},t \right):=\frac{m}{2}{{{\dot{q}}}^{2}}-e\left( \underline{{\dot{q}}}.\underline{A}\left( \underline{q},t \right)-\phi \left( \underline{q},t \right) \right)

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L(q_,q˙_,t):=m2q˙2e(q˙_.A_(q_,t)ϕ(q_,t))
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>q</mi><mo>_</mo></munder></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mo>_</mo></munder></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msup><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>2</mn></mrow></msup><mo>&#x2212;</mo><mi>e</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mo>_</mo></munder></mrow><mo>.</mo><mrow data-mjx-texclass="ORD"><munder><mi>A</mi><mo>_</mo></munder></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>q</mi><mo>_</mo></munder></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x2212;</mo><mi>&#x03D5;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>q</mi><mo>_</mo></munder></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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