The collected mathematical papers of Arthur Cayley.Vol. 11
Publisher: Scholarly Publishing Office, University of Michigan Library
Published: December 20, 2005
Language: eng
Format: Paperback
Number of pages: 663
ISBN-13: 9781418186081
Subjects: Mathematics / General
First sentence: IN the two memoirs "Sur la distribution de l'electricite a la surface des corps conducteurs," Mem. de l'Inst. 1811, Poisson considers the question of the distribution of electricity upon two spheres: viz. if the radii be a, b, and the distance of the centres be c (where c>a+b, the spheres being exterior to each other), and the potentials within the two spheres respectively have the constant values h and g, then-for Poisson's f(x/a) writing (x), and for his F (x/b) writing (x)-the question depends on the solution of the functional equations where of course the x of either equation may be replaced by a different variable.