This operation is applied to the action to give the Lagrangian, to the angular momentum to give torque, and to energy to give power.
NOTE to moderator: If someone buzzes in on the first sentence, make sure you read the answerline carefully! The value of this operation applied to some flow property is related to integrals involving that flow property throughout the control volume by the Reynolds transport theorem. Performing a gauge fixing of the scalar potential is done by subtracting from the scalar potential this operation applied to the gauge function. This operation is applied to Hamilton's principal function in the Hamilton-Jacobi equation, and to the (*) conjugate momenta in the Euler-Lagrange equations. This operation is applied to the action to give the Lagrangian, to the angular momentum to give torque, and to energy to give power. For 10 points, name this operation which is applied to velocity to give acceleration and to position to give velocity, symbolized d/dt. (dee by dee tee)
NOTE to moderator: If someone buzzes in on the first sentence, make sure you read the answerline carefully!
time derivative [or "derivative with respect to time," prompt on just "derivative," prompt on "d/dt," BEFORE the words "gauge fixing," prompt on "D/Dt," (capital dee by capital dee tee) accept any of the following answers: material derivative, total derivative, convective derivative, advective derivative, substantive derivative, substantial derivative, Lagrangian derivative, Stokes derivative, particle derivative, hydrodynamic derivative, derivative following the motion, if they buzz after "gauge fixing" with any of those answers, neg them]