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to the question of the validity of our postulates regarding the equivalence of the physical boundary conditions to the s.p.b.c. and the existence and range of the interval G. These points must be investigated separately for each individual case, using primarily the standard methods for the study of the behavior of solutions of a differential equation in the neighborhood of a singular point.The writer is greatly indebted to his colleague, Prof. Marston Morse, for numerous suggestions and much helpful discussion in connection with the proof that the eigenvalues of X are minima of Q/N for suitably restricted classes of admissible comparison functions.