Open Access. Powered by Scholars. Published by Universities.®

Digital Commons Network™

Open Access. Powered by Scholars. Published by Universities.®

Mathematics

Selected Works

1984

Articles 1 - 8 of 8

Full-Text Articles in Entire DC Network

An Artin Relation (Mod 2) For Finite Group Actions On Spheres, Ronald M. Dotzel Jan 1984

An Artin Relation (Mod 2) For Finite Group Actions On Spheres, Ronald M. Dotzel

Ronald Dotzel

Recently it has been shown that whenever a finite group G (not a /7-group) acts on a homotopy sphere there is no general numerical relation which holds between the various formal dimensions of the fixed sets of ^-subgroups (p dividing the order of (7). However, if G is dihedral of order 2q (q an odd prime power) there is a numerical relation which holds (mod 2). In this paper, actions of groups G which are extensions of an odd order /?-group by a cyclic 2-group are considered and a numerical relation (mod 2) is found to be satisfied (for such …

Go to article

Asymptotic Integration Of Linear Differential Equations Subject To Mild Integral Conditions, William Trench Jan 1984

Asymptotic Integration Of Linear Differential Equations Subject To Mild Integral Conditions, William Trench

William F. Trench

No abstract provided.

Go to article

Natural Variational Principles On Riemannian Structures, Ian M. Anderson Jan 1984

Natural Variational Principles On Riemannian Structures, Ian M. Anderson

Ian M. Anderson

No abstract provided.

Go to article

Topoi And Categories Of Fuzzy Sets, Lawrence Stout Dec 1983

Topoi And Categories Of Fuzzy Sets, Lawrence Stout

Lawrence N. Stout

Let H be a completely distributive lattice and hence a Heyting algebra. Goguen's category of fuzzy sets Set(H) Eytan's logos Fuz(H) and the topos of sheaves on H, Sh(H), are interconnected by pairs of adjoint functors between them. Each of the categories has a predicate calculus. These predicate calculi are related through the functors between the categories. Change of base lattice gives rise to several functors which preserve or reflect specific kinds of statements in the predicate calculi. This paper gives details of the categories, the predicate calculi attached to them, the functors between the categories, and the preservation properties …

Go to article

Asymptotic Theory Of Perturbed General Disconjugate Equations Ii, William F. Trench Dec 1983

Asymptotic Theory Of Perturbed General Disconjugate Equations Ii, William F. Trench

William F. Trench

No abstract provided.

Go to article

Asymptotic Behavior Of Solutions Of An N-Th Order Differential Equation, William F. Trench Dec 1983

Asymptotic Behavior Of Solutions Of An N-Th Order Differential Equation, William F. Trench

William F. Trench

No abstract provided.

Go to article

Maximal Functions Measuring Smoothness, Ronald A. Devore, Robert C. Sharpley Dec 1983

Maximal Functions Measuring Smoothness, Ronald A. Devore, Robert C. Sharpley

Robert Sharpley

Maximal functions which measure the smoothness of a function are introduced and studied from the point of view of their relationship to classical smoothness and their use in proving embedding theorems, extension theorems and various results on differentiation. New spaces of functions which generalize Sobolev spaces are introduced.

Go to article

Asymptotics Of Differential Systems With Deviating Arguments, William F. Trench Dec 1983

Asymptotics Of Differential Systems With Deviating Arguments, William F. Trench

William F. Trench

No abstract provided.

Go to article