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Some Problems In Equivariant Topology., Aniruddha C. Naolekar Dr. Feb 1995

Some Problems In Equivariant Topology., Aniruddha C. Naolekar Dr.

Doctoral Theses

This thesis has grown out of efforts to understand in an equivariant set up two old problems which were revived and developed extensively by Quillen, and also by others. The first problem concerns a de Rham type theorem over the field of rationals Q for a G-simplicial set where G is a finite group. The second problem deals with equivariant plus construction, classification of equivariant acyclic maps, and equivariant G-homotopy type of a G-space where G is a compact Lie group. More specifically, the content of the thesis is governed by the following two theorems, and our main objective is …

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Computer Squares And Principal Graphs Of Subfactors., Uma Krishnan Dr. Feb 1995

Computer Squares And Principal Graphs Of Subfactors., Uma Krishnan Dr.

Doctoral Theses

This thosin in devoted to the study of aome probloms related to the inclusion of a pair of (usually hyperfinite) Ili factors R. Specifically, the following and the relation between them are studied:(a) pairs of graphs which can occur as principal grapha for NC M;(b) construction of commuting squares starting with a pair of finite graphs;(c) computation of the higher relative commutants of sublactorn con- structed from specific commuting squares.The first chapter is introductory in nature and is included for the sake of comploteness and convenience of reference. It contains a rather perfunctory description of the basic construction for a …

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Polygonal Approximation And Scale-Space Analysis Of Closed Digital Curves., Bimal Kumar Roy Dr. Feb 1995

Polygonal Approximation And Scale-Space Analysis Of Closed Digital Curves., Bimal Kumar Roy Dr.

Doctoral Theses

This thesis presents a series of algorithms for polygonal approximation of closed digital curves followed by scale-space analysis with its application to corner detection.Approximation of a closed curve by plece straight line segments is known as polygonal approximation. Any curve can be approximated by a polygon with any desired degree of accuracy.Polygonal approximation is useful in reducing the number of points required to represent a curve and to smooth data. Such representation facilitates extraction of numerical features for description and classification of curves. Basically there are two approaches to the problem. One is to subdivide the points into groups each …

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Some Contributions To Linear Complementarity Problem., G. S. R. Murthy Dr. Feb 1995

Some Contributions To Linear Complementarity Problem., G. S. R. Murthy Dr.

Doctoral Theses

This dissertation deals with a number of problems related to linear comple- mentarity problem (LCP). Given a real square matrix A of order n and a real n-vector q, the LCP is to find a nonnegative n-vector z such that Az + q 2 0 and zt(Az + 9) = 0. There is vast literature on LCP, evolved during the last four decades. LCP plays a crucial role in the study of mathematical program- ming from the view point of algorithms as well as applications. The inherent nature of the problem has led the researchers to introduce and study a …

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Asymptotic Properties Of Posterior Distributions And Study Of Some Nonregular Cases., Subhashis Ghosal Dr. Feb 1995

Asymptotic Properties Of Posterior Distributions And Study Of Some Nonregular Cases., Subhashis Ghosal Dr.

Doctoral Theses

The asymptotic approach to statistical estimation is frequently adopted be cause of ita general applicability and relative simplicity. The modern study of asymptotic theory, initiated in Le Cam (1953), has undergone a vigorous devel- opment through the classic works of Le Cam, Hájek, Bahadur, Ibragimov and Has'minskii (Khas'minskii), Bickel, Pfanzagl, Millar and many other scholars; see Le Cam (1986), Le Cam and Yang (1990), Ibragimov and Has'minskii (1981) and the review article by Ghosh (1985) for an account of this development.Most of the results in asymptotic theory of estimation are obtained under the classical Cramér-Rao type regularity conditions or their …

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Regge Calculus As A Fourth Order Method In Numerical Relativity, Mark A. Miller Feb 1995

Regge Calculus As A Fourth Order Method In Numerical Relativity, Mark A. Miller

Physics - All Scholarship

The convergence properties of numerical Regge calculus as an approximation to continuum vacuum General Relativity is studied, both analytically and numerically. The Regge equations are evaluated on continuum spacetimes by assigning squared geodesic distances in the continuum manifold to the squared edge lengths in the simplicial manifold. It is found analytically that, individually, the Regge equations converge to zero as the second power of the lattice spacing, but that an average over local Regge equations converges to zero as (at the very least) the third power of the lattice spacing. Numerical studies using analytic solutions to the Einstein equations show …

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An Elementary Proof That Finite Groups Lack Unique Product Structures, Matthew Cushman Feb 1995

An Elementary Proof That Finite Groups Lack Unique Product Structures, Matthew Cushman

Mathematical Sciences Technical Reports (MSTR)

We provide an elementary proof that no nontrivial finite group has a unique m-element product structure for any m greater than or equal to 2.

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Missing Dimensions Of Mathematics Instruction, Walter Meyer Feb 1995

Missing Dimensions Of Mathematics Instruction, Walter Meyer

Humanistic Mathematics Network Journal

No abstract provided.

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Writing Assignments In An Abstract Algebra Course, Krystina K. Leganza Feb 1995

Writing Assignments In An Abstract Algebra Course, Krystina K. Leganza

Humanistic Mathematics Network Journal

No abstract provided.

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Poetry, Monte J. Zerger Feb 1995

Poetry, Monte J. Zerger

Humanistic Mathematics Network Journal

No abstract provided.

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And This Is The Tale That Xeno Told, Sanda Z. Keith Feb 1995

And This Is The Tale That Xeno Told, Sanda Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.

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Human Values And Science, Art & Mathematics, Cindy Cichy Feb 1995

Human Values And Science, Art & Mathematics, Cindy Cichy

Humanistic Mathematics Network Journal

No abstract provided.

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Reaction To Human Values, Science, And Mathematics By Lillian R. And Hugh Gray Lieber, Jeanette Nelson Feb 1995

Reaction To Human Values, Science, And Mathematics By Lillian R. And Hugh Gray Lieber, Jeanette Nelson

Humanistic Mathematics Network Journal

No abstract provided.

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Math Puzzler, Paul J. Tobias Feb 1995

Math Puzzler, Paul J. Tobias

Humanistic Mathematics Network Journal

No abstract provided.

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Letters From The Editor And Production Manager, Issue 11, 1995, Alvin White Feb 1995

Letters From The Editor And Production Manager, Issue 11, 1995, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

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In Memory Of Stavros Busenberg, Mario Martelli, Graeme Wake, Courtney Coleman, Melissa Aczon Feb 1995

In Memory Of Stavros Busenberg, Mario Martelli, Graeme Wake, Courtney Coleman, Melissa Aczon

Humanistic Mathematics Network Journal

No abstract provided.

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Poetry, Lee Goldstein Feb 1995

Poetry, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

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A New Start For College Mathematics; Or Mathematics' Greatest Hits, Harald M. Ness Feb 1995

A New Start For College Mathematics; Or Mathematics' Greatest Hits, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.

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To Stephen W. Hawking, Lillia N. Apostolova Feb 1995

To Stephen W. Hawking, Lillia N. Apostolova

Humanistic Mathematics Network Journal

No abstract provided.

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The Study Of Mathematics And Growth In The Spirit, Rosemary Schmalz Feb 1995

The Study Of Mathematics And Growth In The Spirit, Rosemary Schmalz

Humanistic Mathematics Network Journal

No abstract provided.

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Some Notes On How Students Perceive Mathematics, Joan Countryman Feb 1995

Some Notes On How Students Perceive Mathematics, Joan Countryman

Humanistic Mathematics Network Journal

No abstract provided.

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What Is Mathematics?: An Answer To Our Liberal Arts Dilemma, Bruce Williamson Feb 1995

What Is Mathematics?: An Answer To Our Liberal Arts Dilemma, Bruce Williamson

Humanistic Mathematics Network Journal

No abstract provided.

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Principal Points And Self-Consistent Points Of Elliptical Distributions, Thaddeus Tarpey, Luning Li, Bernard Flury Feb 1995

Principal Points And Self-Consistent Points Of Elliptical Distributions, Thaddeus Tarpey, Luning Li, Bernard Flury

Mathematics and Statistics Faculty Publications

In this paper we study principal points and self-consistent points of p-variate elliptical distributions. We also discuss implications of our results for the computation and estimation of principal points.

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A Completely Integrable System And Parametric Representation Of Solutions Of The Wadati-Konno-Ichikawa Hierarchy, Zhijun Qiao Jan 1995

A Completely Integrable System And Parametric Representation Of Solutions Of The Wadati-Konno-Ichikawa Hierarchy, Zhijun Qiao

School of Mathematical & Statistical Sciences Faculty Publications

A finite-dimensional involutive system is presented, and the Wadati-Konno- Ichikawa (WKI) hierarchy of nonlinear evolution equations and their commutator representations are discussed in this article. By this finite-dimensional involutive system, it is proven that under the so-called Bargmann constraint between the potentials and the eigenfunctions, the eigenvalue problem (called the WKI eigenvalue problem) studied by Wadati, Konno, and Ichikawa [J. Phys. Sot. Jpn. 47, 1698 (1979)] is nonlinearized as a completely integrable Hamiltonian system in the Liouville sense. Moreover, the parametric representation of the solution of each equation in the WKI hierarchy is obtained by making use of the solution …

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Periodicity And Indecomposability, William Thomas Ingram Jan 1995

Periodicity And Indecomposability, William Thomas Ingram

Mathematics and Statistics Faculty Research & Creative Works

In this paper we characterize the existence of periodic points of odd period greater than one for unimodal mappings of an interval onto itself. The interesting juxtaposition of this condition with the occurrence in inverse limits of the well-known Brouwer-Janiszewski-Knaster continuum is explored. Also obtained is a characterization of indecomposability of certain inverse limits using a single unimodal bonding map. © 1995 American Mathematical Society.

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Introduction To Linear Algebra: Models, Methods, And Theory, Alan Tucker Jan 1995

Introduction To Linear Algebra: Models, Methods, And Theory, Alan Tucker

Department of Applied Mathematics & Statistics Faculty Books

This book develops linear algebra around matrices. Vector spaces in the abstract are not considered, only vector spaces associated with matrices. This book puts problem solving and an intuitive treatment of theory first, with a proof-oriented approach intended to come in a second course, the same way that calculus is taught. The book's organization is straightforward: Chapter 1 has introductory linear models; Chapter 2 has the basics of matrix algebra; Chapter 3 develops different ways to solve a system of equations; Chapter 4 has applications, and Chapter 5 has vector-space theory associated with matrices and related topics such as pseudoinverses …

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Numeric Transmission/Cultural Transition, Paul B. Pekarek Jan 1995

Numeric Transmission/Cultural Transition, Paul B. Pekarek

Honors Theses, 1963-2015

This thesis is a study of the computational methods and common use of mathematics during the Middle Ages. It also discusses the cultural transition that was associated with the numeric transition from the Roman numeral system to the Hindu-Arabic numeral system and the numeric systems' corresponding calculation methods in Christian Europe during the late Middle Ages and early Renaissance. I claim that the transition from Roman numerals to Hindu-Arabic numerals was a result of cultural influences. Furthermore, I show that the transition was steady and found its basis in preexisting forms of calculation. I also look at the influences that …

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The Genus 22 Crossing Number Of K9, Adrian Riskin Jan 1995

The Genus 22 Crossing Number Of K9, Adrian Riskin

Mathematics

Our main result is that a 1971 conjecture due to Paul Kainen is false. Kainen's conjecture implies that the genus 2 crossing number of K 9 is 3. We disprove the conjecture by showing that the actual value is 4. The method used is a new one in the study of crossing numbers, involving proof of the impossibility of certain genus 2 embeddings of Ks.

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Computations For A Vibrating System Diagonalize The Variance, J. N. Boyd, P. N. Raychowdhury Jan 1995

Computations For A Vibrating System Diagonalize The Variance, J. N. Boyd, P. N. Raychowdhury

Mathematics and Applied Mathematics Publications

The transformations to diagonalize potential energy matrices for coupled harmonic oscillators will also diagonalize the variance when written in matrix form. After a brief review of a geometrical interpretation of the variance, the transformations are described and an example is given.

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Conjugacy Classes Of Triple Products In Finite Groups, Kevin Hutson, Emily Salvo Jan 1995

Conjugacy Classes Of Triple Products In Finite Groups, Kevin Hutson, Emily Salvo

Mathematical Sciences Technical Reports (MSTR)

For an underlying finite group G, we establish estimates on the number of triples that bind a certain set to one conjugacy class, or else breaks it into two conjugacy classes.

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