Now showing items 21-25 of 25
On surfaces of constant negative curvature and their deformation
(University of Missouri, 1904)
We have shown that the pseudosphere is applicable to itself in an infinity of ways. Therefore these surfaces that are applicable to it can, after they are folded on the pseudosphere, be made to pass through the same ...
Foundations of geometry
(University of Missouri, 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. ...
Singular solutions of differential equations of the first order
(University of Missouri, 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 ...
Oscillation of certain sets of orthogonal functions
(University of Missouri, 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 ...
Generalizations of theorems from the Theory of Functions
(University of Missouri, 1915)
Text from introduction: "Practically all of the text books and lectures on the Theory of Functions of a Complex Variable treat only those functions which have a derivative in every point of some given region. This derivative ...