query: Independence of position and velocity in Lagrangian from the point of view of physics?
positive_passages.docid: 7149
positive_passages.text: Calculus of variations -- how does it make sense to vary the position and the velocity independently?
negative_passages.docid: 152446
negative_passages.text: Noether's Theorem and scale invariance
negative_passages.docid: 153727
negative_passages.text: Constant term in Lagrangian
negative_passages.docid: 99312
negative_passages.text: Why Lagrangian is negative number for a relativistic massive point particle?
negative_passages.docid: 142892
negative_passages.text: Lagrangian Mechanics - Commutativity Rule $\frac{d}{dt}\delta q=\delta \frac{dq}{dt} $
negative_passages.docid: 68906
negative_passages.text: Do the same equations of motion imply the same Lagrangians?
negative_passages.docid: 91314
negative_passages.text: Advantages of Lagrangian Mechanics over Newtonian Mechanics
negative_passages.docid: 72721
negative_passages.text: Do an action and its Euler-Lagrange equations have the same symmetries?
negative_passages.docid: 17588
negative_passages.text: Can Lagrangian be thought of as a metric?
negative_passages.docid: 75158
negative_passages.text: Is acceleration relative?
negative_passages.docid: 15173
negative_passages.text: Why use vectors to describe velocity/force/etc instead of treating magnitude and direction as separate values?
negative_passages.docid: 61142
negative_passages.text: Is there any physics that cannot be expressed in terms of Lagrange equations?
negative_passages.docid: 134571
negative_passages.text: Why should a (physical) principle be applicable to different systems in different positions in space and time?
negative_passages.docid: 53798
negative_passages.text: The relation between acceleration and inertial force
negative_passages.docid: 73045
negative_passages.text: Transitioning between Lagrangian and Eulerian fluid variables
negative_passages.docid: 99789
negative_passages.text: Beyond Hamiltonian and Lagrangian mechanics
negative_passages.docid: 7555
negative_passages.text: Why do we consider Lagrangian densities in field theory (as opposed to Lagrangians as in point mechanics)?