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Articles 2041 - 2070 of 2396

Full-Text Articles in Mathematics

Teaching Linear Algebra And Abstract Algebra With Two Way Video And Audio, Edward Reinke May 1999

Teaching Linear Algebra And Abstract Algebra With Two Way Video And Audio, Edward Reinke

ACMS Conference Proceedings 1999

An outline of a presentation discussing teaching two different algebra courses long-distance as well as in a classroom.


A Mathematician At The Science And Theology Book Club, Greg Crow May 1999

A Mathematician At The Science And Theology Book Club, Greg Crow

ACMS Conference Proceedings 1999

This paper is a case study of the insights gained and the contributions made in a weekly Science and Theology Faculty Book Club. The contribution of other group members to the expansion of one’s general understanding of their fields is demonstrated in increased vocabulary, use of existing theoretical models, glimpses of the depth of their disciplines, and in the recognition of the need for humility. The mathematician may contribute by helping to clarify definitions, by applying basic ideas in their own and related fields, and only very rarely by bringing their own research to the table.


Book Review - The Language Of Mathematics: Making The Invisible Visible By Kieth Devlin, Charles R. Hampton May 1999

Book Review - The Language Of Mathematics: Making The Invisible Visible By Kieth Devlin, Charles R. Hampton

ACMS Conference Proceedings 1999

Charles R. Hampton reviews The Language of Mathematics: Making the Invisible Visible. By Kieth Devlin. W. H. Freeman and Company, 1998


Determinism, Chaos, And The Meaning Of Randomness, Or Quantum Theory And The Sovereignty Of God, John Wicks May 1999

Determinism, Chaos, And The Meaning Of Randomness, Or Quantum Theory And The Sovereignty Of God, John Wicks

ACMS Conference Proceedings 1999

No abstract provided.


Book Review: The Number Sense: How The Mind Creates Mathematics By Stanislas Dehaene, Mary Vanderschoot May 1999

Book Review: The Number Sense: How The Mind Creates Mathematics By Stanislas Dehaene, Mary Vanderschoot

ACMS Conference Proceedings 1999

No abstract provided.


Book Review: The Philosophy Of Mathematics By W.S. Anglin, Richard D. Rockwell May 1999

Book Review: The Philosophy Of Mathematics By W.S. Anglin, Richard D. Rockwell

ACMS Conference Proceedings 1999

No abstract provided.


Noncommunicative Algebraic Geometry, Dennis S. Keeler May 1999

Noncommunicative Algebraic Geometry, Dennis S. Keeler

ACMS Conference Proceedings 1999

No abstract provided.


Willing The Will Of God, Harold Heie May 1999

Willing The Will Of God, Harold Heie

ACMS Conference Proceedings 1999

No abstract provided.


Book Review: An Imaginary Tale: The Story Of √-1 By Paul J. Nahin, Michael O'Leary May 1999

Book Review: An Imaginary Tale: The Story Of √-1 By Paul J. Nahin, Michael O'Leary

ACMS Conference Proceedings 1999

No abstract provided.


Doubt And Uncertainty - A Book And Idea Review, Richard Laatsch May 1999

Doubt And Uncertainty - A Book And Idea Review, Richard Laatsch

ACMS Conference Proceedings 1999

No abstract provided.


Hyperbolic Geometry And Poincare's Half-Plane Model, Robert Frank May 1999

Hyperbolic Geometry And Poincare's Half-Plane Model, Robert Frank

ACMS Conference Proceedings 1999

No abstract provided.


Can Mathematics Be Taught In A Christian Way?, Johan H. De Klerk May 1999

Can Mathematics Be Taught In A Christian Way?, Johan H. De Klerk

ACMS Conference Proceedings 1999

No abstract provided.


Using Mathematica To Explore Abstract Algebra, Al Hibbard May 1999

Using Mathematica To Explore Abstract Algebra, Al Hibbard

ACMS Conference Proceedings 1999

No abstract provided.


Book Review: Math: Facing An American Phobia By Marilyn Burns, Stephen L. Brown May 1999

Book Review: Math: Facing An American Phobia By Marilyn Burns, Stephen L. Brown

ACMS Conference Proceedings 1999

No abstract provided.


On The Solutions Of A Family Of Sextic Thue Equations, Alain Togbe May 1999

On The Solutions Of A Family Of Sextic Thue Equations, Alain Togbe

ACMS Conference Proceedings 1999

No abstract provided.


Preface (1999), Association Of Christians In The Mathematical Sciences May 1999

Preface (1999), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1999

Twelfth ACMS Conference on Mathematics from a Christian Perspective


Introduction (1999), Association Of Christians In The Mathematical Sciences May 1999

Introduction (1999), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1999

Twelfth ACMS Conference on Mathematics from a Christian Perspective


Schedule (1999), Association Of Christians In The Mathematical Sciences May 1999

Schedule (1999), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1999

Twelfth ACMS Conference on Mathematics from a Christian Perspective


Table Of Contents (1999), Association Of Christians In The Mathematical Sciences May 1999

Table Of Contents (1999), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1999

Twelfth ACMS Conference on Mathematics from a Christian Perspective


Connectivity Of Cycle Matroids And Bicircular Matroids, Zhi-Hong Chen, Kuang Ying-Qiang, Hong-Jian Lai May 1999

Connectivity Of Cycle Matroids And Bicircular Matroids, Zhi-Hong Chen, Kuang Ying-Qiang, Hong-Jian Lai

Scholarship and Professional Work - LAS

A unified approach to prove former connectivity results of Tutte, Cunningham, Inukai and Weinberg, Oxley and Wagner.


Designing An Integrated Environment For Artificial Intelligence, Andrew B. Ritger '99 Apr 1999

Designing An Integrated Environment For Artificial Intelligence, Andrew B. Ritger '99

Honors Projects

The SHELLEY RESEARCH GROUP (part of the Illinois Wesleyan Intelligence Network on Knowledge -IWINK) has been in existence for several years, and has benefited immensely from various student contributors who have added such components as robotic arm control, cross platform networking, an artificially intelligent tic-tac-toe player, and an interactive teaching tool demonstrating the functionality of artificial neural networks. What is lacking, however, amidst these undergraduate contributions to the SHELLEY Project, is an effective means of integrating existing components into a single cohesive functional unit, let alone any easy means of making further contributions within a simple unified context. The focus …


Shout With The Largest Mob : Toward A Model For Primitive Communication In Mobile Automata, Rebecca A. Weber Apr 1999

Shout With The Largest Mob : Toward A Model For Primitive Communication In Mobile Automata, Rebecca A. Weber

Honors Theses

We consider the problem of simulating communication between independent, autonomous agents, or machines, using only local rules with no global control over the agents' behavior. First, we construct an algorithm by which the machines will avoid collisions with each other and with boundaries or obstacles. Noting that collision avoidance alone will not result in higher-level behavior, and with the goal of creating agents which would self-organize, we begin to develop a signalling system by which agents can communicate. This leads to a new method for modeling agent motion in the plane. Throughout, we are motivated by possible linkages between our …


An Examination Of Codewords With Optimal Merit Factor, Michael W. Cammarano, Anthony G. Kirilusha Apr 1999

An Examination Of Codewords With Optimal Merit Factor, Michael W. Cammarano, Anthony G. Kirilusha

Department of Math & Statistics Technical Report Series

We examine the codewords with best possible merit factor (minimum sum of squares of periodic autocorrelations) for a variety of lengths. Many different approaches were tried in an attempt to find construction methods for such codewords, or for codewords with good but non-optimal merit factors.


Prestructuring Neural Networks Via Extended Dependency Analysis With Application To Pattern Classification, George G. Lendaris, Thaddeus T. Shannon, Martin Zwick Mar 1999

Prestructuring Neural Networks Via Extended Dependency Analysis With Application To Pattern Classification, George G. Lendaris, Thaddeus T. Shannon, Martin Zwick

Complex Systems Faculty Publications and Presentations

We consider the problem of matching domain-specific statistical structure to neural-network (NN) architecture. In past work we have considered this problem in the function approximation context; here we consider the pattern classification context. General Systems Methodology tools for finding problem-domain structure suffer exponential scaling of computation with respect to the number of variables considered. Therefore we introduce the use of Extended Dependency Analysis (EDA), which scales only polynomially in the number of variables, for the desired analysis. Based on EDA, we demonstrate a number of NN pre-structuring techniques applicable for building neural classifiers. An example is provided in which EDA …


Structure-Function Relationships In The Pulmonary Arterial Tree, Christopher A. Dawson, Gary S. Krenz, Kelly Lynn Karau, Steven Thomas Haworth, Christopher C. Hanger, John H. Linehan Feb 1999

Structure-Function Relationships In The Pulmonary Arterial Tree, Christopher A. Dawson, Gary S. Krenz, Kelly Lynn Karau, Steven Thomas Haworth, Christopher C. Hanger, John H. Linehan

Mathematics, Statistics and Computer Science Faculty Research and Publications

Knowledge of the relationship between structure and function of the normal pulmonary arterial tree is necessary for understanding normal pulmonary hemodynamics and the functional consequences of the vascular remodeling that accompanies pulmonary vascular diseases. In an effort to provide a means for relating the measurable vascular geometry and vessel mechanics data to the mean pressure-flow relationship and longitudinal pressure profile, we present a mathematical model of the pulmonary arterial tree. The model is based on the observation that the normal pulmonary arterial tree is a bifurcating tree in which the parent-to-daughter diameter ratios at a bifurcation and vessel distensibility are …


Can Mathematics Be Taught In A Christian Way?, Johan Deklerk Jan 1999

Can Mathematics Be Taught In A Christian Way?, Johan Deklerk

ACMS Journal 2004

Some people would argue that mathematics cannot be taught in a Christian way. Others would say it can be done, but that they are unsure how to do it, and therefore do not do it. Some methods mentioned from time to time will be briefly discussed in this address. The question will be asked whether these techniques bring one closer to a Christian perspective on mathematics. My view is that some of these methods are just not sufficient and that more should be done. More attention should be paid to the context in which a mathematical subject is imbedded. Attention …


Lewis Carroll: Author, Mathematician, And Christian, David L. Neuhouser Jan 1999

Lewis Carroll: Author, Mathematician, And Christian, David L. Neuhouser

ACMS Journal 2004

Although a Christian, an author, and a mathematician, Charles Letwidge Dodgson (better known as Lewis Carroll) wrote very few works in which these three aspects of his person was present. The only examples of him merging these interests are in Sylvie and Bruno and Sylvie and Bruno Concluded. This paper will explore what motivated him to make these works and whether or not they were successful.


The Deconstruction Of Mathematics, David J. Stucki Jan 1999

The Deconstruction Of Mathematics, David J. Stucki

ACMS Journal 2004

Mathematics, as an academic discipline, has stood for many years as the last bastion against a growing tide of intellectual relativism that has become all but ubiquitous. More recently, however, efforts have been made to "humanize" mathematics by advocating a social-constructivist approach to the philosophy of mathematics, both in practice and education. This paper is intended to serve as a critical response to one advocate of this approach, Reuben Hersh (What Is Mathematics, Really?, 1997), and in the process a defense of Platonism.


Method For Identification Of Origins Of Replication And Genes Regulated By Dnaa In Bacteria, Olga G. Troyanskaya Jan 1999

Method For Identification Of Origins Of Replication And Genes Regulated By Dnaa In Bacteria, Olga G. Troyanskaya

Honors Theses

The study is focused on developing computer programs to identify origin of DNA replication based on analysis of total bacterial genomes, scoring regions for number of DnaA binding sites, AT content, DNA adenine methylase boxes, and integration host factors binding sites. The programs were tested on cyanobacterium Synechocystis, and several potential origins were identified. However, no one definite region could be located. Currently, software is being developed to analyze common motifs around the origins of all bacteria with known origins. Genes whose transcription could be regulated by DnaA were identified by searching for DnaA boxes preceding promoter regions.


Even Subgraphs Of A Graph, Hong-Jian Lai, Zhi-Hong Chen Jan 1999

Even Subgraphs Of A Graph, Hong-Jian Lai, Zhi-Hong Chen

Scholarship and Professional Work - LAS

No abstract provided.