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

Mathematics Commons™

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

1998

Discipline
Institution
Keyword
Publication
Publication Type
File Type

Articles 1 - 30 of 222

Full-Text Articles in Mathematics

On The Basic Representation Theorem For Convex Domination Of Measures, J. Elton, Theodore P. Hill Dec 1998

On The Basic Representation Theorem For Convex Domination Of Measures, J. Elton, Theodore P. Hill

Research Scholars in Residence

A direct, constructive proof is given for the basic representation theorem for convex domination of measures. The proof is given in the finitistic case (purely atomic measures with a finite number of atoms), and a simple argument is then given to extend this result to the general case, including both probability measures and finite Borel measures on infinite-dimensional spaces. The infinite-dimensional case follows quickly from the finite-dimensional case with the use of the approximation property.

Go to article

Fan-Type Conditions For Collapsible Graphs, Zhi-Hong Chen Dec 1998

Fan-Type Conditions For Collapsible Graphs, Zhi-Hong Chen

Scholarship and Professional Work - LAS

No abstract provided.

Go to article

Essay On Deprivation, Poverty And Well-Being., Diganta Mukherjee Dr. Nov 1998

Essay On Deprivation, Poverty And Well-Being., Diganta Mukherjee Dr.

Doctoral Theses

Issues like inequity, deprivation and poverty have been a focus of interest for social scientists for a long time. The present thesis explores a few aspects of the above issues. It ermbodies the fruit of my intellectual perambulation in the Economic Research Unit of Indian Statistical Institute (ISI) during the years 1995 - 97. The text is divided into six chapters. The first chapter gives a general overview of different aspects of measuring inequality, deprivation and poverty. The second, third and fourth chapters take up the issue of deprivation measurement in detail. They contain discussions on deprivation ordering, indices and …

Go to article

Stability And Reconstruction For An Inverse Problem For The Heat Equation, Kurt Bryan, Lester Caudill Nov 1998

Stability And Reconstruction For An Inverse Problem For The Heat Equation, Kurt Bryan, Lester Caudill

Department of Math & Statistics Faculty Publications

We examine the inverse problem of determining the shape of some unknown portion of the boundary of a region Ω from measurements of the Cauchy data for solutions to the heat equation on Ω. By suitably linearizing the inverse problem we obtain uniqueness and continuous dependence results. We propose an algorithm for recovering estimates of the unknown portion of the surface and use the insight gained from a detailed analysis of the inverse problem to regularize the inversion. Several computational examples are presented.

Go to article

Natural Math, Maria Droujkova Nov 1998

Natural Math, Maria Droujkova

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Do The Great While It Is Still Small: Humanistic Teaching In The Elementary School, John Eichinger Nov 1998

Do The Great While It Is Still Small: Humanistic Teaching In The Elementary School, John Eichinger

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

The Legend Of The Apple, Raul A. Simon Nov 1998

The Legend Of The Apple, Raul A. Simon

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Mathematics Found In Poetry, Alexis Mann Nov 1998

Mathematics Found In Poetry, Alexis Mann

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Plastic Pebbles, Virginie H. Mitchem Nov 1998

Plastic Pebbles, Virginie H. Mitchem

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

What Does Equality Mean?--The Basque View, Marcia Ascher Nov 1998

What Does Equality Mean?--The Basque View, Marcia Ascher

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

On Solving Equations, Negative Numbers, And Other Absurdities: Part Ii, Ralph A. Raimi Nov 1998

On Solving Equations, Negative Numbers, And Other Absurdities: Part Ii, Ralph A. Raimi

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Architecture And Mathematics: An Introduction For Elementary And Middle School Children, Kim Williams Nov 1998

Architecture And Mathematics: An Introduction For Elementary And Middle School Children, Kim Williams

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Nine And One Third Circles Of Rejoicing, Michael Capobianco Nov 1998

Nine And One Third Circles Of Rejoicing, Michael Capobianco

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Manifesto On Mathematical Education, Saunders Mac Lane Nov 1998

Manifesto On Mathematical Education, Saunders Mac Lane

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

From My Dance Is Mathematics: Poems From A Mathematics Teacher, Joanne S. Growney Nov 1998

From My Dance Is Mathematics: Poems From A Mathematics Teacher, Joanne S. Growney

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Interior Blowup In A Convection-Diffusion Equation, Christopher P. Grant Nov 1998

Interior Blowup In A Convection-Diffusion Equation, Christopher P. Grant

Faculty Publications

This paper addresses the qualitative behavior of a nonlinear convection-diffusion equation on a smooth bounded domain in Rn, in which the strength of the convection grows superlinearly as the density increases. While the initial-boundary value problem is guaranteed to have a local-in-time solution for smooth initial data, it is possible for this solution to be extinguished in nite time. We demonstrate that the way this may occur is through nite-time "blow up," i.e., the unboundedness of the solution in arbitrarily small neighborhoods of one or more points in the closure of the spatial domain. In special circumstances, such as the …

Go to article

A Continuum Analysis Of The Chemotactic Signal Seen By Dictyostelium Discoideum, J. C. Dallon, H. G. Othmer Oct 1998

A Continuum Analysis Of The Chemotactic Signal Seen By Dictyostelium Discoideum, J. C. Dallon, H. G. Othmer

Faculty Publications

We develop a mathematical model of cell-to-cell-signalling in Dictyostelium discoideum that predicts the cAMP signal seen by individual cells in early aggregation. The model employs two cells on a plane and is designed to predict the space-time characteristics of both the extracellular cAMP signal seen by one cell when a nearby cell relays, and the intracellular cAMP response produced by the stimulus in the receiving cell. The effect of membrane bound phosphodiesterase is studied and it is shown that cells can orient effectively even in its absence. Our results give a detailed picture of how the spatio-temporal characteristics of the …

Go to article

Finding Cyclic Redundancy Check Polynomials For Multilevel Systems, James A. Davis, Miranda Mowbray, Simon Crouch Oct 1998

Finding Cyclic Redundancy Check Polynomials For Multilevel Systems, James A. Davis, Miranda Mowbray, Simon Crouch

Department of Math & Statistics Faculty Publications

This letter describes a technique for finding cyclic redundancy check polynomials for systems for transmission over symmetric channels which encode information in multiple voltage levels, so that the resulting redundancy check gives good error protection and is efficient to implement. The codes which we construct have a Hamming distance of 3 or 4. We discuss a way to reduce burst error in parallel transmissions and some tricks for efficient implementation of the shift register for these polynomials. We illustrate our techniques by discussing a particular example where the number of levels is 9, but they are applicable in general.

Go to article

On The Dynamics Of Stochastic Differential Equations (Ellis B. Stouffer Colloquium, University Of Kansas), Salah-Eldin A. Mohammed Oct 1998

On The Dynamics Of Stochastic Differential Equations (Ellis B. Stouffer Colloquium, University Of Kansas), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

We formulate and outline a proof of the Local Stable Manifold Theorem for stochastic differential equations (SDE's) in Euclidean space (joint work with M. Scheutzow). This is a central result in dynamical systems with noise. Starting with the existence of a stochastic flow for an SDE, we introduce the notion of a hyperbolic stationary trajectory. We prove the existence of invariant random stable and unstable manifolds in the neighborhood of a hyperbolic stationary solution. For Stratonovich noise, the stable and unstable manifolds are dynamically characterized using forward and backward solutions of the anticipating SDE.

Go to article

Rank One And Loosely Bernoulli Actions In Zᵈ, Aimee S.A. Johnson, A. A. Şahin Oct 1998

Rank One And Loosely Bernoulli Actions In Zᵈ, Aimee S.A. Johnson, A. A. Şahin

Mathematics & Statistics Faculty Works

We define rank one for Zᵈ actions and show that those rank one actions with a certain tower shape are loosely Bernoulli for d greater than or equal to 1. We also construct a zero entropy Z² loosely Bernoulli action with a zero entropy, ergodic, non-loosely Bernoulli one-dimensional subaction.

Go to article

Cohomology Of Polynomials Under An Irrational Rotation, Lawrence W. Baggett, Herbert A. Medina, Kathy D. Merrill Oct 1998

Cohomology Of Polynomials Under An Irrational Rotation, Lawrence W. Baggett, Herbert A. Medina, Kathy D. Merrill

Mathematics Faculty Works

A new description of cohomology of functions under an irrational rotation is given in terms of symmetry properties of the functions on subintervals of [0, 1]. This description yields a method for passing information about the cohomology classes for a given irrational to the cohomology classes for an equivalent irrational.

Go to article

Complexity Reduction In State-Based Modeling, Martin Zwick Oct 1998

Complexity Reduction In State-Based Modeling, Martin Zwick

Systems Science Faculty Publications and Presentations

For a system described by a relation among qualitative variables (or quantitative variables "binned" into symbolic states), expressed either set-theoretically or as a multivariate joint probability distribution, complexity reduction (compression of representation) is normally achieved by modeling the system with projections of the overall relation. To illustrate, if ABCD is a four variable relation, then models ABC:BCD or AB:BC:CD:DA, specified by two triadic or four dyadic relations, respectively, represent simplifications of the ABCD relation. Simplifications which are lossless are always preferred over the original full relation, while simplifications which lose constraint are still preferred if the reduction of complexity more …

Go to article

Weyl-Type Fields With Geodesic Lines Of Force, Brendan Guilfoyle Sep 1998

Weyl-Type Fields With Geodesic Lines Of Force, Brendan Guilfoyle

Publications

The static electrogravitational equations are studied and it is shown that an aligned type D metric which has a Weyl-type relationship between the gravitational and electric potential has shearfree geodesic lines of force. All such fields are then found and turn out to be the fields of a charged sphere, charged infinite rod and charged infinite plate. A further solution is also found with shearing geodesic lines of force. This new solution can have m > |e| or m < |e|, but cannot be in the Majumdar-Papapetrou class (in which m = |e|). It is algebraically general and has flat equipotential surfaces.

Go to article

Construction Of Some Combinatorial Designs Arising Out Of Statistical Experiments., Tridib Kumar Dutta Dr. Sep 1998

Construction Of Some Combinatorial Designs Arising Out Of Statistical Experiments., Tridib Kumar Dutta Dr.

Doctoral Theses

Chis dissertation considers construction of two kinds of combi natorial sesigns as used by statisticians: repeated measurements designs (RMDS) and symmetric balanced squares (SBSS). 1.1. REPEATED MEASUREMENTS DESIGNS The researchers need to perform experiments where each experimental unit receives some or all of the treatments in an appropriate sequence over a number of successive periods. These designs are known by several names in the statistical 1iterature: repeated measurements designs, crossover or changeover designs, (multiple) time series designs, and before-after designs. If there are n experimental units 1,2, ... n, t treatments and p periods 0,1, .. .p-1, applied, then an …

Go to article

The A-Hypergeometric System Associated With A Monomial Curve, Eduardo Cattani, Carlos D’Andrea, Alicia Dickenstein Sep 1998

The A-Hypergeometric System Associated With A Monomial Curve, Eduardo Cattani, Carlos D’Andrea, Alicia Dickenstein

Mathematics and Statistics Department Faculty Publication Series

No abstract provided.

Go to article

Symmetry And Tiling Groups For Genus 4 And 5, C. Ryan Vinroot Sep 1998

Symmetry And Tiling Groups For Genus 4 And 5, C. Ryan Vinroot

Mathematical Sciences Technical Reports (MSTR)

All symmetry groups for surfaces of genus 2 and 3 are known. In this paper, we classify symmetry groups and tiling groups with three branch points for surfaces of genus 4 and 5. Also, a class of symmetry groups that are not tiling groups is presented, as well as a class of odd order non-abelian tiling groups.

Go to article

Attractors For Non-Compact Semigroups Via Energy Equations, Ioana Moise, Ricardo Rosa, Xiaoming Wang Sep 1998

Attractors For Non-Compact Semigroups Via Energy Equations, Ioana Moise, Ricardo Rosa, Xiaoming Wang

Mathematics and Statistics Faculty Research & Creative Works

The energy-equation approach used to prove the existence of the global attractor by establishing the so-called asymptotic compactness property of the semigroup is considered, and a general formulation that can handle a number of weakly damped hyperbolic equations and parabolic equations on either bounded or unbounded spatial domains is presented. as examples, three specific and physically relevant problems are considered, namely the flows of a second-grade fluid, the flows of a Newtonian fluid in an infinite channel past an obstacle, and a weakly damped, forced Korteweg-de Vries equation on the whole line.

Go to article

A Structural Result Of Irreducible Inclusions Of Type Iii Lambda Factors, Lambda Is An Element Of (0,1), Phan Loi Sep 1998

A Structural Result Of Irreducible Inclusions Of Type Iii Lambda Factors, Lambda Is An Element Of (0,1), Phan Loi

Mathematics and Statistics Faculty Publications

Given an irreducible inclusion of factors with finite index N ⊂ M, where M is of type IIIλ1/m, N of type IIIλ1/n, 0 < λ < 1, and m,n are relatively prime positive integers, we will prove that if N ⊂ M satisfies a commuting square condition, then its structure can be characterized by using fixed point algebras and crossed products of automorphisms acting on the middle inclusion of factors associated with N ⊂ M. Relations between N ⊂ M and a certain G-kernel on subfactors are also discussed.

Go to article

The Sharp Sobolev Inequality And The Banchoff-Pohl Inequality On Surfaces, Ralph Howard Sep 1998

The Sharp Sobolev Inequality And The Banchoff-Pohl Inequality On Surfaces, Ralph Howard

Faculty Publications

No abstract provided.

Go to article

Quadrilaterals Subdivided By Triangles In The Hyperbolic Plane, Dawn M. Haney, Lori T. Mckeough Aug 1998

Quadrilaterals Subdivided By Triangles In The Hyperbolic Plane, Dawn M. Haney, Lori T. Mckeough

Mathematical Sciences Technical Reports (MSTR)

In this paper, we consider triangle-quadrilateral pairs in the hyperbolic plane which “kaleidoscopically” tile the plane simultaneously. These tilings are called divisible tilings or subdivided tilings. We restrict our attention to the simplest case of divisible tilings, satisfying the corner condition, in which a single triangle occurs at each vertexof the quadrilateral. All possible such divisible tilings are catalogued as well as determining the minimal genus surface on which the divisible tiling exists. The tiling groups of these surfaces are also determined.

Go to article

Next Last