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A collection of graphs to accompany certain topics in the study of function theory of a real variable
(University of Missouri--Columbia, 1913)
In Part I of this paper, I have dealt with only well-known properties of functions - treating them from the graphic standpoint entirely and referring the reader, to the best authorities I could find, for the Algebraic ...
Oscillation of certain sets of orthogonal functions
(University of Missouri--Columbia, 1914)
In the classic memoirs of Sturm and Liouville, two classes of theorems are found concerning sets of orthogonal functions. The first deal with the number of sign-changes in [phi]3, and the second with the number of sign-changes ...
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 ...
Singular solutions of differential equations of the first order
(University of Missouri--Columbia, 1900)
A differential equation may be formed from all algebraic equations by the elimination of the arbitrary constants between the latter and its derivatives. The number of derivations being equal to the number of arbitrary ...
Foundations of geometry
(University of Missouri--Columbia, 1901)
Geometry has been called the science of in-direct measurement, and as such is founded on certain definitions, postulates, and some assumptions or axioms which are said to be self-evident. It is a physical science idealized. ...