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Vectors in four dimensions
(University of Missouri--Columbia, 1909)
The interest attaching to n-dimensional geometry comes chiefly from two sources, first the light thrown upon analysis by a geometric interpretation of its results when more than three variables are involved, and second, ...
Study of the convergence of series in certain orthogonal functions
(University of Missouri--Columbia, 1914)
In this present paper we will develop some theorems concerning the degree of convergence of certain series, in particular a Fourier's series, a Legendre's series, and a series of Bessel's functions. Before proceeding ...