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Classification Of The Tor-Algebras Of Codimension Four Almost Complete Intersections, Andrew R. Kustin Sep 1993

Classification Of The Tor-Algebras Of Codimension Four Almost Complete Intersections, Andrew R. Kustin

Faculty Publications

Let (R, m, k) be a local ring in which 2 is a unit. Assume that every element of k has a square root in k . We classify the algebras Tor'(R/J, k) as J varies over all grade four almost complete intersection ideals in R. The analogous classification has already been found when J varies over all grade four Gorenstein ideals [21], and when J varies over all ideals of grade at most three [5, 30]. The present paper makes use of the classification, in [21], of the Tor-algebraso f codimension four Gorenstein rings, as well as the (usually …


Coxeter Groups And Positive Matrices., Arbind Kumar Lal Dr. Aug 1993

Coxeter Groups And Positive Matrices., Arbind Kumar Lal Dr.

Doctoral Theses

In this thesis, we study positive matrices (matrices whose entries are nonnegative as well as matrices which are positive semidefinite) with Coxeter groups as the underlying theme. For an exposition on Coxeter groups see Humphreys (1990).A Cozeter system consists of a pair (W, s); where W is a group and S is a set which consists of the generators of the group W. The elements of the set S have only the relations of the form (ss')m(s.) 1; where m(s, s) 1, m(s, s') = m(s,s) 2 2 for s s in S. In case no relation occurs for a …


Optimizing Communication Routing In Parallel Computer Architectures, Nikolaos T. Liolios Aug 1993

Optimizing Communication Routing In Parallel Computer Architectures, Nikolaos T. Liolios

Masters Theses

This thesis is a research effort to improve on existing algorithms for processor placement and routing on hypercube and 2d-transputer parallel architectures that perform communications through message propagation. Given a set of processors N, randomly distributed on the parallel computer network, the problem is to find an optimal communication routing that minimizes the number of required links and intermediate processors. It was concluded that the spanning tree is the best starting heuristic for the routing problem. For hypercubes an algorithm was developed that outperforms all algorithms in the literature. For 2d-transputers the method of overlap maximization used in VLSI routing, …


Calculus Workshop Groups As A Humanistic Experience, Martin Vern Bonsangue Jul 1993

Calculus Workshop Groups As A Humanistic Experience, Martin Vern Bonsangue

Humanistic Mathematics Network Journal

No abstract provided.


Like Poetry, Mathematics Is Beautiful, Joanne Growney Jul 1993

Like Poetry, Mathematics Is Beautiful, Joanne Growney

Humanistic Mathematics Network Journal

No abstract provided.


Writing Style - An Editorial Comment, Harald M. Ness Jul 1993

Writing Style - An Editorial Comment, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.


Letter About Philosophia Mathematica, Robert Thomas Jul 1993

Letter About Philosophia Mathematica, Robert Thomas

Humanistic Mathematics Network Journal

No abstract provided.


The Role Of Faith In Mathematics, Dick Wood Jul 1993

The Role Of Faith In Mathematics, Dick Wood

Humanistic Mathematics Network Journal

No abstract provided.


Math Nonsence Verse, Helen Lewy Jul 1993

Math Nonsence Verse, Helen Lewy

Humanistic Mathematics Network Journal

No abstract provided.


On Attracting Mathematics Majors, Kazem Mahdavi Jul 1993

On Attracting Mathematics Majors, Kazem Mahdavi

Humanistic Mathematics Network Journal

No abstract provided.


The Basis For The Success Of The Potsdam Program, Rick Luttmann Jul 1993

The Basis For The Success Of The Potsdam Program, Rick Luttmann

Humanistic Mathematics Network Journal

No abstract provided.


Mathematics And The Arts — A Bibliography, Joanne S. Growney Jul 1993

Mathematics And The Arts — A Bibliography, Joanne S. Growney

Humanistic Mathematics Network Journal

No abstract provided.


Liberal Education In The Liberal Sense, Annalisa Crannell Jul 1993

Liberal Education In The Liberal Sense, Annalisa Crannell

Humanistic Mathematics Network Journal

No abstract provided.


Poems, Lee Goldstein Jul 1993

Poems, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.


On Learning In The Mathematical Sciences: Statistics 200 As A Paradigm Of Everything Wrong In Mathematical Education, James M. Cargal Jul 1993

On Learning In The Mathematical Sciences: Statistics 200 As A Paradigm Of Everything Wrong In Mathematical Education, James M. Cargal

Humanistic Mathematics Network Journal

No abstract provided.


In Fin Ity, Bonnie Shulman Jul 1993

In Fin Ity, Bonnie Shulman

Humanistic Mathematics Network Journal

No abstract provided.


A Fairy Tale: Being A Pseudo-History Of Mathematics With Special Attention Given To The Evolution Of The Number System, Peter Flusser Jul 1993

A Fairy Tale: Being A Pseudo-History Of Mathematics With Special Attention Given To The Evolution Of The Number System, Peter Flusser

Humanistic Mathematics Network Journal

No abstract provided.


Are There Revolutions In Mathematics, Paul Ernest Jul 1993

Are There Revolutions In Mathematics, Paul Ernest

Humanistic Mathematics Network Journal

No abstract provided.


Toward A Philosophy Of Humanistic Mathematics, Bill Rosenthal Jul 1993

Toward A Philosophy Of Humanistic Mathematics, Bill Rosenthal

Humanistic Mathematics Network Journal

No abstract provided.


Canadian Society For History And Philosophy Mathematics Speaker List Jul 1993

Canadian Society For History And Philosophy Mathematics Speaker List

Humanistic Mathematics Network Journal

No abstract provided.


Developing A Mathematical Mode Of Thinking In An Undergraduate Program, Ida Doraiswamy Jul 1993

Developing A Mathematical Mode Of Thinking In An Undergraduate Program, Ida Doraiswamy

Humanistic Mathematics Network Journal

No abstract provided.


A Reading List For Undergraduate Mathematics Majors: A Personal View, Paul Froeschl Jul 1993

A Reading List For Undergraduate Mathematics Majors: A Personal View, Paul Froeschl

Humanistic Mathematics Network Journal

No abstract provided.


A Humanistic Academic Environment For Learning Undergraduate Mathematics, Clarence F. Stephens Jul 1993

A Humanistic Academic Environment For Learning Undergraduate Mathematics, Clarence F. Stephens

Humanistic Mathematics Network Journal

No abstract provided.


The Popular Image Of Mathematics, Paul Ernest Jul 1993

The Popular Image Of Mathematics, Paul Ernest

Humanistic Mathematics Network Journal

No abstract provided.


A Multicultural Matrix For Mathematics Education: Generic Ideas, Rheta N. Rubenstein Jul 1993

A Multicultural Matrix For Mathematics Education: Generic Ideas, Rheta N. Rubenstein

Humanistic Mathematics Network Journal

No abstract provided.


Complete Issue 8, 1993 Jul 1993

Complete Issue 8, 1993

Humanistic Mathematics Network Journal

No abstract provided.


Boundary Value Problems In Rectilinearly Anisotropic Thermoelastic Solids, Gilbert Kerr Jul 1993

Boundary Value Problems In Rectilinearly Anisotropic Thermoelastic Solids, Gilbert Kerr

Mathematics & Statistics Theses & Dissertations

The boundary value problems which are considered are the type that arise due to the presence of a Griffith crack (or cracks) in an anisotropic thermoelastic solid. The thermoelastic field, in such materials, when the infinitesimal theory is employed, is governed by a set of elliptic partial differential equations. The general solution of these equations is expressed in terms of arbitrary analytic functions whose real parts, in turn, are expressed in terms of Fourier type integrals or Fourier series. Integral transform techniques are then used to determine the stress intensity factors (and other pertinent information) for various crack geometries. In …


Symmetries Of The Einstein Equations, Ian M. Anderson, C. Torre Jun 1993

Symmetries Of The Einstein Equations, Ian M. Anderson, C. Torre

Mathematics and Statistics Faculty Publications

We classify all generalized symmetries of the vacuum Einstein equations in four spacetime dimensions. They consist of constant scalings of the metric, and of the infinitesimal action of generalized spacetime diffeomorphisms. Our results rule out a large class of possible ‘‘observables’’ for the gravitational field, and suggest that the vacuum Einstein equations are not integrable.


A Conjectured Paradigm Shift In 21st Century Mathematics Pedagogy, Paul Isihara Jun 1993

A Conjectured Paradigm Shift In 21st Century Mathematics Pedagogy, Paul Isihara

ACMS Conference Proceedings 1993

With greater and greater capacity for automated content delivery, the role of teachers may shift increasingly to providing the human touch in pedagogy such as love for students.


A New Look At An Old 3:16 An Acms Devotional, Russell W. Howell Jun 1993

A New Look At An Old 3:16 An Acms Devotional, Russell W. Howell

ACMS Conference Proceedings 1993

This paper examines John 3:16 in the bible by examining the language and cultural backgrounds of the verse.