Now showing items 1-10 of 68
The computation of optimal controls in the presence of equality nondifferential constraints [by] James Robert Cloutier
An algorithm is developed to solve optimal control problems involving a functional I subject to differential constraints, terminal constraints, and equality nondifferential constraints. The algorithm is composed of a ...
An exposition on continued fractions
This paper, which is of an expository nature, is divided Into three parts. In the first part a continued fraction is defined and some of the fundamental formulas used in the study thereof are derived. In the second section ...
Transfinite induction as a research method of analysis
This thesis is based on notes taken by the author during the course of a series of lectures presented in the spring of 1929 by Florin Vasilesco, Visiting Lecturer in Mathematics at The Rice Institute. An effort has been ...
Alexander's duality theorem
Topology or Analysis Situs is usually defined as the study of properties of spaces or their configurations under continuous transformations. The invariants under these transformations play a leading role in the study of ...
The proof of M. Ragnar Frisch’s theorem, The absolute value of a symmetric, definite determinant of real elements is at most equal to the product of the absolute values of the elements of the principal diagonal, may be ...