Question

Note to moderator: Read the answerline carefully. For the Lax pair L-comma-M, [read slowly] this operation of an eigenfunction of L, plus “M times the eigenfunction,” equals another eigenfunction. This operation of the generating function is the difference (-5[1])between the final and initial Hamiltonians. This operation of the principal function is the negative of the Hamiltonian. This operation of the distribution function equals the negative of “the Poisson (“pwah-SAWN”) bracket of the (10[1])distribution (-5[1])function (-5[1])and the Hamiltonian,” (10[1])as follows from Liouville’s (“lyoo-VEEL’s”) theorem. If this operation of the Lagrangian (10[1])is zero, energy is conserved. (-5[4])Adding terms of the (10[1]-5[1])form (10[1])“q-dot (-5[1])times delta-by-delta-q” to this operation yields (10[1])a “total” operation. (-5[2])For 10 points, name this operation that, while holding all other variables constant, (-5[1])gives the rate of change of a function (10[2]-5[1])with respect to a quantity measured in seconds. (10[2])■END■ (10[12]0[3])

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