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

Digital Commons Network

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

Articles 1 - 9 of 9

Full-Text Articles in Entire DC Network

Linear Algebra By Analogy, Scott H. Hochwald Nov 1991

Linear Algebra By Analogy, Scott H. Hochwald

Scott H. Hochwald

No abstract provided.


Boundary C1, Α Regularity For Variational Inequalities, Fang-Hua Lin, Yi Li Aug 1991

Boundary C1, Α Regularity For Variational Inequalities, Fang-Hua Lin, Yi Li

Yi Li

No abstract provided.


The T-Designs On 13 Points With A Primitive Group Of Order 78 As A Group Of Automorphism, M. R. Darafsheh, M. Rajabi Tarkhorani, Saeid Abbasbandy Jan 1991

The T-Designs On 13 Points With A Primitive Group Of Order 78 As A Group Of Automorphism, M. R. Darafsheh, M. Rajabi Tarkhorani, Saeid Abbasbandy

Saeid Abbasbandy

No abstract provided.


Competition Between Generic And Nongeneric Fronts Inenvelope Equations, James A. Powell, A. C. Newell, C. K. R. T. Jones Jan 1991

Competition Between Generic And Nongeneric Fronts Inenvelope Equations, James A. Powell, A. C. Newell, C. K. R. T. Jones

James A. Powell

Arguments are presented for understanding the selection of the speed and the nature of the fronts that join stable and unstable states on the supercritical side of first-order phase transitions. It is suggested that from compact support, nonpositive-definite initial conditions, observable front behavior occurs only when the asymptotic spatial structure of a trajectory in the Galilean ordinary differential equation (ODE) corresponds to the most unstable temporal mode in the governing partial differential equation (PDE). This selection criterion distinguishes between a "nonlinear" front, which has its origin in the first-order nature of the bifurcation, and a "linear" front. The nonlinear front …


Foundations Of Fuzzy Sets, Lawrence Stout, Ulrich Höhle Dec 1990

Foundations Of Fuzzy Sets, Lawrence Stout, Ulrich Höhle

Lawrence N. Stout

This paper gives an overview of the origins of fuzzy set theory and the problems for the foundations of fuzzy sets arising from those origins and current practice. It then gives detailed accounts of categorical approaches using a closed structure to capture the fuzzy AND connective. Within these categories weak forms of subobject representations provide an internal second order logic. An approach to fuzzy real numbers and fuzzy topology is included to illustrate the use of this internal; second order theory.


A Symmetric Porosity Conjecture Of Zajícek, Karen Saxe, P. Humke, M. Evans Dec 1990

A Symmetric Porosity Conjecture Of Zajícek, Karen Saxe, P. Humke, M. Evans

Karen Saxe

No abstract provided.


Reductions Of Graphs And Spanning Eulerian Subgraphs, Zhi-Hong Chen Dec 1990

Reductions Of Graphs And Spanning Eulerian Subgraphs, Zhi-Hong Chen

Zhi-Hong Chen

This dissertation is primarily focused on conditions for the existence of spanning closed trails in graphs. However, results in my dissertation and the method we used, which was invented by Catlin, are not only useful for finding spanning closed trails in graphs, but also useful to study double cycle cover problems, hamiltonian line graphs problems, and dominating closed trail problems, etc. A graph is called supereulerian if it contains a spanning closed trail. Several, people have worked on the conditions for spanning closed trails having the form "d(u) + d(v) $>$ cn (0 $<$ c $<$ 1)" for all edge …


A Survey Of Fuzzy Set And Topos Theory, Lawrence Stout Dec 1990

A Survey Of Fuzzy Set And Topos Theory, Lawrence Stout

Lawrence N. Stout

This paper is a comparison and contrast of approaches to many-valued mathematics offered by Fuzzy Set theory and topos theory. It gives a survey of the categorical foundations of Fuzzy Set theory and related topoi. Topoi are not a basis for Fuzzy Set theory but they do suggest appropriate directions to go and questions to ask for a synthesis which does provide a foundation. One possible structure which has a topos-like internal logic and the, rich variety of logical connectives used in fuzzy sets is included.


Asymptotic Behavior Of Solutions Of Functionally Perturbed Nonoscillatory Second Order Differential Equations, William F. Trench Dec 1990

Asymptotic Behavior Of Solutions Of Functionally Perturbed Nonoscillatory Second Order Differential Equations, William F. Trench

William F. Trench

No abstract provided.