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Display information for equation id:math.1905.29 on revision:1905

* Page found: Eichtransformation der Lagrangefunktion (eq math.1905.29)

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TeX (original user input): 

\begin{align}
  & \frac{d}{dt}\frac{\partial L\acute{\ }}{\partial {{{\dot{q}}}_{{}}}}=m\ddot{q}+m{{\omega }^{2}}\dot{q} \\
 & \frac{\partial L\acute{\ }}{\partial {{q}_{k}}}=-m{{\omega }^{2}}q+m{{\omega }^{2}}\dot{q} \\
\end{align}

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d d ⁢ t ⁢ ∂ ⁡ L ⁢ ´ ∂ ⁡ q ˙ = m ⁢ q ¨ + m ⁢ ω 2 ⁢ q ˙ ∂ ⁡ L ⁢ ´ ∂ ⁡ q k = - m ⁢ ω 2 ⁢ q + m ⁢ ω 2 ⁢ q ˙ missing-subexpression 𝑑 𝑑 𝑡 𝐿 ´ absent ˙ 𝑞 𝑚 ¨ 𝑞 𝑚 superscript 𝜔 2 ˙ 𝑞 missing-subexpression 𝐿 ´ absent subscript 𝑞 𝑘 𝑚 superscript 𝜔 2 𝑞 𝑚 superscript 𝜔 2 ˙ 𝑞 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\frac{d}{dt}\frac{% \partial L\acute{\ }}{\partial{{{\dot{q}}}}}=m\ddot{q}+m{{\omega}^{2}}\dot{q}% \\ &\displaystyle\frac{\partial L\acute{\ }}{\partial{{q}_{k}}}=-m{{\omega}^{2}}q% +m{{\omega}^{2}}\dot{q}\\ \end{aligned}}}

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MathML (2.317 KB / 427 B) :

ddt∂L´∂q˙=mq¨+mω2q˙∂L´∂qk=−mω2q+mω2q˙

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