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

Physical Sciences and Mathematics Commons™

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

Mathematics

Institution
Keyword
Publication Year
Publication
Publication Type
File Type

Articles 25171 - 25200 of 27391

Full-Text Articles in Physical Sciences and Mathematics

Maximal Rank-One Spaces Of Matrices Over Chain Semirings, Daniel Joseph Scully May 1988

Maximal Rank-One Spaces Of Matrices Over Chain Semirings, Daniel Joseph Scully

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Vectors and matrices over the Boolean (0,1) semiring have been studied extensively along with their applications to graph theory. The Boolean (0,1) semiring has been generalized to a class of semirings called chain semirings. This class includes the fuzzy interval. Vectors and matrices over chain semirings are examined. Rank-1 sets of vectors are defined and characterized. These rank-1 sets of vectors are then used to construct spaces of matrices (rank-1 spaces) with the property that all nonzero matrices in the space have semiring rank equal to 1. Finally, three classes of maximal (relative to containment) rank-1 spaces are identified.

Go to article

Review Of “Constructive Combinatorics” By D. Stanton And D. White, Stephen B. Maurer Apr 1988

Review Of “Constructive Combinatorics” By D. Stanton And D. White, Stephen B. Maurer

Mathematics & Statistics Faculty Works

No abstract provided.

Go to article

Two Discrete Forms Of The Jordan Curve Theorem, Lawrence Stout Apr 1988

Two Discrete Forms Of The Jordan Curve Theorem, Lawrence Stout

Scholarship

The Jordan curve theorem is one of those frustrating results in topology: it is intuitively clear but quite hard to prove. In this note we will look at two discrete analogs of the Jordan curve theorem that are easy to prove by an induction argument coupled with some geometric intuition. One of the surprises is that when we discretize the plane we get two Jordan curve theorems rather than one, a consequence of the interplay between two natural products in the category of graphs. Topology in this context has been studied by Farmer in [2]. To state the discrete versions, …

Go to article

Self Consistent Model Of The Glow Discharge, Hao Chen Apr 1988

Self Consistent Model Of The Glow Discharge, Hao Chen

Electrical & Computer Engineering Theses & Dissertations

The strong spatial variation of the electric field intensity in the vicinity of the cathode of a gas discharge requires the use of microscopic methods to describe the nonequilibrium behavior of the electron dynamics in this region. A one-dimensional Monte Carlo code was developed. It allows one to obtain the distribution of the electron drift velocity and rate coefficients for a given electric field intensity in the cathode fall. The results of this calculation are used to find the density distribution of charged particles in this region and consequently, by means of Poisson's equation, a corrected electric field intensity. In …

Go to article

Two Discrete Forms Of The Jordan Curve Theorem, Lawrence N. Stout Mar 1988

Two Discrete Forms Of The Jordan Curve Theorem, Lawrence N. Stout

Lawrence N. Stout

The Jordan curve theorem is one of those frustrating results in topology: it is intuitively clear but quite hard to prove. In this note we will look at two discrete analogs of the Jordan curve theorem that are easy to prove by an induction argument coupled with some geometric intuition. One of the surprises is that when we discretize the plane we get two Jordan curve theorems rather than one, a consequence of the interplay between two natural products in the category of graphs. Topology in this context has been studied by Farmer in [2]. To state the discrete versions, …

Go to article

Toeplitz Systems Associated With The Product Of A Formal Laurent Series And A Laurent Polynomial, William F. Trench Mar 1988

Toeplitz Systems Associated With The Product Of A Formal Laurent Series And A Laurent Polynomial, William F. Trench

William F. Trench

No abstract provided.

Go to article

Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench Mar 1988

Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench

William F. Trench

No abstract provided.

Go to article

Letter From The Editor, Issue 2, 1988, Alvin White Mar 1988

Letter From The Editor, Issue 2, 1988, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

I'Ll Carry My Coals Where They're Needed, Professor Henriksen, Sherman K. Stein Mar 1988

I'Ll Carry My Coals Where They're Needed, Professor Henriksen, Sherman K. Stein

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Please Carry Your Coals To Where They Are Needed, Professor Stein, Melvin Henriksen Mar 1988

Please Carry Your Coals To Where They Are Needed, Professor Stein, Melvin Henriksen

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Cognitive Science Studies Of Mathematical Thought, Robert B. Davis Mar 1988

Cognitive Science Studies Of Mathematical Thought, Robert B. Davis

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Two Poems, Miroslav Holub Mar 1988

Two Poems, Miroslav Holub

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Mathematics And Philosophy*, D. Bushaw Mar 1988

Mathematics And Philosophy*, D. Bushaw

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Readings In Mathematics Education, Harriet Edwards Mar 1988

Readings In Mathematics Education, Harriet Edwards

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

The Basis For The Success Of The Potsdam Program, Rick Luttmann Mar 1988

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

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

A Reply To The Question "Why Math?", Louis A. Talman Mar 1988

A Reply To The Question "Why Math?", Louis A. Talman

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Excerpts From And Inserts Into My January 23 Talk At The Mathematics As A Humanistic Discipline Session, Anneli Lax Mar 1988

Excerpts From And Inserts Into My January 23 Talk At The Mathematics As A Humanistic Discipline Session, Anneli Lax

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Foundational Studies And Mathematics Teaching, Allan Muir Mar 1988

Foundational Studies And Mathematics Teaching, Allan Muir

Humanistic Mathematics Network Journal

No abstract provided.

Go to article

Stability Of Steady Cross-Waves: Theory And Experiment, Seth Lichter, Andrew J. Bernoff Mar 1988

Stability Of Steady Cross-Waves: Theory And Experiment, Seth Lichter, Andrew J. Bernoff

All HMC Faculty Publications and Research

A bifurcation analysis is performed in the neighborhood of neutral stability for cross waves as a function of forcing, detuning, and viscous damping. A transition is seen from a subcritical to a supercritical bifurcation at a critical value of the detuning. The predicted hysteretic behavior is observed experimentally. A similarity scaling in the inviscid limit is also predicted. The experimentally observed bifurcation curves agree with this scaling.

Go to article

Asymptotic Integration Of A Perturbed Constant Coefficient Differential Equation Under Mild Integral Smallness Conditions, William F. Trench Feb 1988

Asymptotic Integration Of A Perturbed Constant Coefficient Differential Equation Under Mild Integral Smallness Conditions, William F. Trench

William F. Trench

No abstract provided.

Go to article

On A Class Of Stochastic Approximation -Type Parameter-Learning Algorithms For Pattern Recognition., Amita Pal Dr. Feb 1988

On A Class Of Stochastic Approximation -Type Parameter-Learning Algorithms For Pattern Recognition., Amita Pal Dr.

Doctoral Theses

The first tank can involve one or more subtasks. For instance, it may require the design of a classifier on the basis of whatever prior knowledge there is of the feature space, or given the design, to estimate efficiently the parameters of the classifier. The latter might involve the estimation of the density function itself if very little is known about the class-conditional fenture distribution, or it may necessitate the entimation of the parameters of the fenture distribution, if one can assume it to have some known form. It may also involve estimating the boundaries of the classes, if even …

Go to article

Study On Mappings And Maniforlds Of Fueter Hypercomplex And Almost Complex Types., Basudeb Dutta Dr. Feb 1988

Study On Mappings And Maniforlds Of Fueter Hypercomplex And Almost Complex Types., Basudeb Dutta Dr.

Doctoral Theses

This thesis ie concerned chiefly with oertain families of smooth ... mappinga from domains in IRn to IRn which arise as natural generali- setione of complex anelytio mappinge. Thess Fueter families heve important hypercomplex aubfamilies defined via convergent Laurent series in one queternionio or actonionio veriable (with central coeffi- ofents). The various families and subfamdlies are olosed under compositior and inversion (when defined) of, meppinge consequently they form pseudo- groups on which one can model manifolds. The geometry of manifolde which oerry such ;Fueter or hypercomplex structure turna out to be qui ta %3D rich. In particular, they heve oanonioal …

Go to article

Economics Of Recardo: A Re-Warking., Periaswamy Gajapathi Dr. Feb 1988

Economics Of Recardo: A Re-Warking., Periaswamy Gajapathi Dr.

Doctoral Theses

No abstract provided.

Go to article

Recruiting More Computer Science Students - What To Do After The "Glamour" Has Gone Away?, William E. Mcbride, James Calhoun, James Richards, Harriet Taylor, Frank Garnett Walters Feb 1988

Recruiting More Computer Science Students - What To Do After The "Glamour" Has Gone Away?, William E. Mcbride, James Calhoun, James Richards, Harriet Taylor, Frank Garnett Walters

Mathematics and Statistics Faculty Research & Creative Works

The moderator will first focus on the question: "Are enrollments actually declining in computer science programs across this country?" He will report the results of his surveys which indicate there has been a definite downturn in enrollment over the past two years. The panelists will then discuss what is being done at their schools to recruit students and to meet this new challenge of declining enrollments.

Go to article

Recruiting More Computer Science Students—What To Do After The “Glamour” Has Gone Away?, William E. Mcbride, James Calhoun, James L. Richards, Harriet G. Taylor, Frank Garnett Walters Feb 1988

Recruiting More Computer Science Students—What To Do After The “Glamour” Has Gone Away?, William E. Mcbride, James Calhoun, James L. Richards, Harriet G. Taylor, Frank Garnett Walters

Mathematics and Statistics Faculty Research & Creative Works

The moderator will first focus on the question: "Are enrollments actually declining in computer science programs across this country?" He will report the results of his surveys which indicate there has been a definite downturn in enrollment over the past two years. The panelists will then discuss what is being done at their schools to recruit students and to meet this new challenge of declining enrollments. © 1988, ACM. All rights reserved.

Go to article

A Semilinear Wave Equation With Nonmonotone Nonlinearity, Alfonso Castro, Sumalee Unsurangsie Feb 1988

A Semilinear Wave Equation With Nonmonotone Nonlinearity, Alfonso Castro, Sumalee Unsurangsie

All HMC Faculty Publications and Research

We prove that a semilinear wave equation in which the range of the derivative of the nonlinearity includes an eigenvalue of infinite multiplicity has a solution. The solution is obtained through an iteration scheme which provides a priori estimates.

Go to article

Structure Of Fourier And Fourier-Stieltjes Coefficients Of Series With Slowly Varying Convergence Moduli, Časlav V. Stanojević Jan 1988

Structure Of Fourier And Fourier-Stieltjes Coefficients Of Series With Slowly Varying Convergence Moduli, Časlav V. Stanojević

Mathematics and Statistics Faculty Research & Creative Works

No abstract provided.

Go to article

A Fixed Point Theorem Revisited, Alberta Bollenbacher, Troy L. Hicks Jan 1988

A Fixed Point Theorem Revisited, Alberta Bollenbacher, Troy L. Hicks

Mathematics and Statistics Faculty Research & Creative Works

A version of a theorem commonly referred to as Caristi's Theorem is given. It has an elementary constructive proof, and it includes many generalizations of Banach's fixed point theorem. Several examples illustrate the diversity that can occur. © 1988 American Mathematical Society.

Go to article

Principles Of Computer Programming: A Mathematical Approach, Harlan D. Mills, Victor R. Basili, John D. Gannon, Richard D. Hamlet Jan 1988

Principles Of Computer Programming: A Mathematical Approach, Harlan D. Mills, Victor R. Basili, John D. Gannon, Richard D. Hamlet

The Harlan D. Mills Collection

No abstract provided.

Go to article

Generalized Homogeneity Of Finite And Of Countable Topological Spaces, J. J. Charatonik, W. J. Charatonik Jan 1988

Generalized Homogeneity Of Finite And Of Countable Topological Spaces, J. J. Charatonik, W. J. Charatonik

Mathematics and Statistics Faculty Research & Creative Works

Finite and countable topological spaces are investigated which are homogeneous, homogeneous with respect to open mappings or with respect to continuous ones. It is shown that for finite spaces all three concepts of homogeneity coincide, while for countable or for uncountable ones they are distinct. Some characterization of countable spaces that are homogeneous in either sense are found for the metric setting.

Go to article

First Prev Next Last