query: The unique form of the Lagrange equation in all coordinate system. Any proof for it?
positive_passages.docid: 126390
positive_passages.text: Covariance of Euler-Lagrange equations under change of generalized coordinates
negative_passages.docid: 70606
negative_passages.text: Show that the LU decomposition of matrices of the form $\left[\begin{smallmatrix}0& x\\0 & y\end{smallmatrix}\right]$ is not unique
negative_passages.docid: 99789
negative_passages.text: Beyond Hamiltonian and Lagrangian mechanics
negative_passages.docid: 71479
negative_passages.text: Is there some elementary proof of invariance of domain?
negative_passages.docid: 35874
negative_passages.text: Show that when $BA = I$, the solution of $Ax=b$ is unique
negative_passages.docid: 63402
negative_passages.text: Euler-Lagrange equation in curved spacetime: how to calculate $\partial \mathcal{L}/\partial(\nabla_\nu A_\mu)$?
negative_passages.docid: 68422
negative_passages.text: Understanding Lagrange's Theorem (Group Theory)
negative_passages.docid: 72721
negative_passages.text: Do an action and its Euler-Lagrange equations have the same symmetries?
negative_passages.docid: 10785
negative_passages.text: Form of the Classical EM Lagrangian
negative_passages.docid: 106355
negative_passages.text: How to prove Lagrange trigonometric identity
negative_passages.docid: 156636
negative_passages.text: The Existence of the $^1D$ term and the non-existence of the $^3D$ term?
negative_passages.docid: 153727
negative_passages.text: Constant term in Lagrangian
negative_passages.docid: 54857
negative_passages.text: The wave equation in general relativity, special relativity, and Cartesian coordinates
negative_passages.docid: 85094
negative_passages.text: A problem from Evans' PDEs book: find a Lagrangian for a given Euler-Lagrange equation
negative_passages.docid: 97204
negative_passages.text: Is there a unique solution for this quadratic matrix equation?
negative_passages.docid: 236
negative_passages.text: Proof of general Euclid's Lemma in a UFD (by Euclidean algorithm?)
negative_passages.docid: 56446
negative_passages.text: A kind of converse of Lagrange's Theorem