Physical Sciences and Mathematics Commons^™

Designing The Optimal Placement Of Spaces In A Parking Lot, R. Bingle, D. Meindertsma, W. Oostendorp, Gene A. Klaasen

University Faculty Publications and Creative Works

We develop a method for determining the optimal size and placement of parking spaces and approach aisles for an automobile parking lot. In particular, our solution concerns a parking lot of size 100' x 200' located at the corner of an intersection of two streets in a New England town. We begin by arguing the superiority of driver operation over attendant operation of vehicles to be parked. Then a statistical analysis is performed on a sampling of 160 1987 model automobiles to determine upper bounds and ideal values for the length and width of a parking space and for the …

Ce Equivalence And Shape Equivalence Of 1-Dimensional Compacta, R. J. Daverman, Gerard A. Venema

University Faculty Publications and Creative Works

In this paper the relationship between CE equivalence and shape equivalence for locally connected, 1-dimensional compacta is investigated. Two theorems are proved. The first asserts that every path connected planar continuum is CE equivalent either to a bouquet of circles or to the Hawaiian earring. The second asserts that for every locally connected, 1-dimensional continuum X there is a cell-like map of X onto a planar continuum. It follows that CE equivalence and shape equivalence are the same for the class of all locally connected, 1-dimensional compacta. In addition, an example of Ferry is generalized to show that for every …

Ua66/10/2 Newsletter, Wku Mathematics

WKU Administration Documents

Newsletter created by and about the WKU Mathematics department.

Dedekind Finiteness In Topoi, Lawrence Stout

Lawrence N. Stout

A Dedekind finite object in a topos is an object such that any monic endomorphism is an epimorphism. This paper proves the basic properties of Dedekind finiteness and then gives examples which show that the class of Dedekind finite objects is not closed under quotients, subobjects, exponentiation, or finite powerobjects. Examples also show that having no nontrivial epic endomorphisms is distinct from Dedekind finiteness.

Global Existence Of Nonoscillatory Solutions Of Perturbed General Disconjugate Equations, William F. Trench, T. Kusano

William F. Trench

No abstract provided.

Existence And Nonoscillation Theorems For An Emden-Fowler Equation With Deviating Argument, William F. Trench

William F. Trench

No abstract provided.

Alfred Tarski And Undecidable Theories, George F. Mcnulty

Faculty Publications

No abstract provided.

Approximation By Rational Functions, Ronald A. Devore

Faculty Publications

Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If f' is in L log L on a finite interval, then f can be approximated in the uniform norm by rational functions of degree n to an error 0(1/n) on that interval.

Programs And Data Sets For Quasimolecular Modeling Of Vortices, Donald Greenspan

Mathematics Technical Papers

No abstract provided.

Design And Analysis Of Efficient Algorithms To Solve The Maximum Concurrent Flow Problem, Farhad Shahrokhi

Dissertations

The maximum concurrent flow (MCFP) is a generalized commodity flow problem, where every pair of entities can send and receive flow Ma85 , BM86 , MS86 . We develop efficient labeling algorithms to solve the MCFP. We explore the combinatorial structure of the MCFP and show that the problem of associating costs (distances) to the edges so as to maximize the minimum cost of routing the concurrent flow is the dual of the MCFP. This duality covers max-flow min-cut theorem as a special case. Applications in packet switched networks At81 and cluster analysis Ma86 are discussed.

On The Laplacian, Frank A. Farris, James Ward Brown

Mathematics and Computer Science

In various applied mathematics courses one appearance of the Laplacian operator is in the study of heat distributions.

Sequence Alignment With Matched Sections, Jerrold R. Griggs, Philip J. Hanlon, Michael S. Waterman

Faculty Publications

In molecular biology, two finite sequences are compared by displaying one sequence written over another in an alignment. The number of alignments of two sequences is related to the Stanton-Cowan numbers. This paper gives asymptotics for the number of alignments of two sequences of length n with matching sections of size at least b.

Prophet Inequalities For Averages Of Independent Non-Negative Random Variables, Theodore P. Hill

Research Scholars in Residence

No abstract provided.

Keane Leads Us Olympiad Team To 1st Place Tie With Ussr, Stephen B. Maurer

Mathematics & Statistics Faculty Works

No abstract provided.

George Boole: His Life And Work (Book Review), Calvin Jongsma

Faculty Work Comprehensive List

Reviewed Title: George Boole: His Life and Work by Desmond MacHale. (Profiles of Genius Series, 2.) xiii + 304 pp., illus., bibls., index. Dublin: Boole Press, 1985.

Optimal-Partitioning Inequalities For Nonatomic Probability Measures, John Elton, Theodore P. Hill, Robert P. Kertz

Research Scholars in Residence

Suppose μ1,...,μn are nonatomic probability measures on the same measurable space (S, B). Then there exists a measurable partition {Si}ⁿ_i=1 of S such that μi(Si) ≥ (n + 1 - M)^-1 for all i = 1,...,n, where M is the total mass of Vⁿ_i=1μ1 (the smallest measure majorizing each μi). This inequality is the best possible for the functional M, and sharpens and quantifies a well-known cake-cutting theorem of Urbanik and of Dubins and Spanier. Applications are made to L1-functions, discrete allocation problems, statistical decision theory, …

Jacobi Moments In Applied Mathematics With Computer Applications, John A. Kapenga

Dissertations

This work provides solid asymptotic representations, sharp error bounds and stable recurrence methods (both three term and two dimensional) for the Jacobi moments. These moments are currently used in several areas of numerical analysis (numerical integration, integral equations and boundary value problems).

A powerful representation theorem, due to H. Gingold, which uses the Jacobi moments is extended and analyzed. Applications of this theorem to multi-turning point problems and several other areas are given.

For a number of important problems in mathematical physics it is not possible to prove that the currently employed methods of solution converge, or are valid in …

Generalized Connectivity In Graphs, Ortrud R. Oellermann

Dissertations

The connectivity of a graph G is the minimum number of vertices in G whose deletion produces a disconnected or trivial graph, while the edge-connectivity of G is the minimum number of edges having this property. In this dissertation several generalizations and variations of these two parameters are introduced and studied.

Chapter I is an overview to the history of connectivity and provides a background for the chapters that follow. In Chapter II major n-connected subgraphs are introduced. Through this concept, the connectivities (of subgraphs) that are most representative in a given graph are studied.

Chapter III is devoted to …

Scs 98: Z-Continuity, Z-Hypercompactness And Complete Distributivity, Marcel Erné

Seminar on Continuity in Semilattices

Source: University archive of the Technische Universität Darmstadt.

Mappings Of Anr's Whose Images Are Anr's, Jung-In Kang Choi

Doctoral Dissertations

Recently, R.J. Daverman and J.J. Walsh modified an example due to J. Taylor to obtain an example of a cell-like map from a compactum with non-trivial shape onto the Hilbert cube Q such that the non-degeneracy set is contained in the countable union of finite dimensional closed subsets of Q. Previously, G. Kozlowski proved that a cell-like map f: X' → X from a compact ANR X' onto a metric space X is a hereditary shape equivalence if there exists a sequence {B_n}∞_n=1 of finite dimensional closed subsets of X such that the non-degeneracy set is contained …

Σary N=0, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

Orthogonal Polynomials, Measures And Recurrence Relations, Joanne Dombrowski, Paul Nevai

Mathematics and Statistics Faculty Publications

Properties of measures associated with orthogonal polynomials are investigated in terms of the coefficients of the three term recurrence formula satisfied by the orthogonal polynomials.

On The Generalizations Of Gershgorin's Theorem, Sang-Gu Lee

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This paper deals with generalization fo Gershgorin's theorem. This theorem is investigated and generalized in terms of contour integrals, directed graphs, convex analysis, and clock matrices.

These results are shown to apply to some specified matrices such as stable and stochastic matrices and some examples will show the relationship of eigenvalue inclusion regions among them.

A Truly Elementary Approach To The Bounded Convergence Theorem, Jonathan W. Lewin

Faculty Articles

No abstract provided.

On The Atomic Decomposition Of H^1 And Interpolation, Robert Sharpley

Faculty Publications

© 1986 by American Mathematical Society

L(P) Estimates For Maximal Functions And Hilbert-Transforms Along Flat Convex Curves In R(2), Hasse Carlsson, Michael Christ, Antonio Cordoba, Javier Duoandikoetxea, Jose L. Rudio De Francia, Jim Vance, Stephen Wainger, David Weinberg

Mathematics and Statistics Faculty Publications

No abstract provided.

An Intrinsic Construction Of Fefferman's Cr Metric, Frank A. Farris

Mathematics and Computer Science

We construct a conformal class of Lorentz metrics naturally associated with an abstract definite CR structure. If the CR structure is that of a pseudoconvex boundary in Cn we prove that the intrinsically constructed metric is the same as that discovered by Fefferman using a solution to a complex Monge-Ampère equation. The construction presented here relies on formal solutions of a linear equation, dζ = 0, and provides a relatively simple procedure for computing the metric.

A Partial Integration Formula For Product Integrals Of Unbounded Operator-Valued Functions, Rhonda J. Hughes

Mathematics Faculty Research and Scholarship

The partial integration formula for product integrals of which the Trotter product formula is a consequence, is established for a wide class of unbounded operator-valued functions.

Nonexistence Of Stable Harmonic Maps To And From Certain Homogeneous Spaces And Submanifolds Of Euclidean-Space, Ralph Howard, S Walter Wei

Faculty Publications

Call a compact Riemannian manifold M a strongly unstable manifold if it is not the range or domain of a nonconstant stable harmonic map and also the homotopy class of any map to or from M contains elements of arbitrarily small energy. If M is isometrically immersed in Euclidean space, then a condition on the second fundamental form of M is given which implies M is strongly unstable. As compact isotropy irreducible homogeneous spaces have "standard" immersions into Euclidean space this allows a complete list of the strongly unstable compact irreducible symmetric spaces to be made.

Optimum Sampling Strategies., T. V. Hanurav Dr.

Doctoral Theses

The advantages sample surveys over complete censuses are well known and seem to be fully appreaciated as is evidenced by the increasing use of sample surveys now a days as a means of collecting information.The use of probability theory to make rigorous inductive inferences has been well recognised for a long time. Such inferences can be made only when observations which form the basis of the infe- rence are generated by some chance mechanism, In traditional applica- tions, the statistician usually assume s or takes for granted some kind of chan ce mechanism behind the o bservations, where as in …