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On the Mathematical Analysis of Cosmic-Ray Data
Phys. Rev. 46, 154 – Published 1 August, 1934
DOI: https://doi.org/10.1103/PhysRev.46.154
Abstract
In connection with cosmic-ray calculations, attention is drawn to the existence of extensive tables by Miller and Rosebrugh of the integral for integral values of from -2 to +2. Cosmic-ray data may be analyzed by a procedure which ultimately depends on Prony's method of analyzing a curve into a finite number of exponential constituents. By the use of interpolation theorems and the methods of the calculus of finite differences, observational data for exponential analysis may be derived free from the uncertainties of graphical differentiation. Methods of calculating the effect of self-scattering by the atmosphere are indicated. The exact calculation of the effect of wall thickness in a spherical ionization chamber is shown to depend on the functions tabulated by Miller and Rosebrugh.
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