Now showing items 1-10 of 47
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 ...
Representations of low dimensional manifolds as branched coverings of spheres
We show that any 2- or 3-dimensional manifold is a branched covering of the sphere branched over a universal branching set. Using the associated unbranched covering, we show that there is a one-to-one correspondence between ...
The global structure of the geodesics on a complete Riemannian manifold
Information is obtained concerning the large scale behavior of geodesics on Riemannian manifolds of certain broad types by studying the topology of certain fibrations used in conjunction with the tools of the calculus of ...
Comparison of data-based methods for non-parametric density estimation
There have been recent developments in data-based methods for estimating densities non-parametrically. In this work we shall compare some methods developed by Scott, Duin and Wahba according to their sensitivity, statistical ...