The derivative of the Lagrangian with respect to a generalized coordinate, q-sub-i, gives this quantity conjugate to q-sub-i, which is conserved if q-sub-i is a cyclic coordinate.
For i and j from 1 to 3, the ̘ux of the i-th this quantity across the j-th surface is a 3-dimensional rank-2 tensor corresponding to the stress. This variable is switched to when taking the Legendre (luh-ZHAHN-druh) transform of a Lagrangian. The derivative of the Lagrangian with respect to a generalized coordinate, q-sub-i, gives this quantity conjugate to q-sub-i, which is conserved if q-sub-i is a cyclic coordinate. Its conservation as a result of translational symmetry is derived from Noether's (NOY-tur's) theorem. This quantity's operator is "minus i h-bar" times the gradient, and its commutator with position is "i h-bar," which leads to the uncertainty principle. Impulse is the change in, and force is the time derivative of, for 10 points, what vector quantity deɤned as the product of a particle's mass and velocity?
For i and j from 1 to 3, the ̘ux of the i-th this quantity across the j-th surface is a 3-dimensional rank-2 tensor corresponding to the stress.
linear momentum [or translational momentum; do not accept "angular momentum"]