Physical Sciences and Mathematics Commons^™

Wheels On Wheels On Wheels-Surprising Symmetry, Frank A. Farris

Mathematics and Computer Science

While designing a computer laboratory exercise for my calculus students, I happened to sketch the curve defined by this vector equation: (x, y) = (cos(t), sin(t)) + 1/2(cos(7t), sin(7t)) + 1/3(sin(17t), cos(17t)). I was thinking of the curve traced by a particle on a wheel mounted on a wheel mounted on a wheel, each turning at a different rate. The first term represents the largest wheel, of radius 1, turning counter-clockwise at one radian per second. The second term represents a smaller wheel centered at the edge of the first, turning 7 times as fast. The third term is for …

A Graph Theoretic Study Of The Similarity Of Discrete Structures, Heather D. Gavlas

Dissertations

A basic problem in drug design consists of finding a compound that satisfies a spectrum of biological and chemical properties. Although drug design problems are central to pharmaceutical research, statisticians have yet to become involved in this area as these problems are viewed statistically as optimization problems. Before statistical optimization procedures can be defined on these spaces whose points are structures and not vectors, very basic mathematical notions of distance must be defined. Graphs have been used as mathematical models to represent the bonding arrangements of molecules for quite some time. In fact, if some of the methodology used by …

Cwatsets: Weights, Cardinalities, And Generalizations, Richard Mohr

Mathematical Sciences Technical Reports (MSTR)

This report provides an upper bound on the average weight of an element in a cwatset and discusses the ratio of the cardinality of a cwatset to the cardinality of the group containing the cwatset. The concept of a generalized cwatset is also introduced.

Ideals Of The Lipschitz Class, Konstantin G. Kulev

Honors Theses

In this paper, a classification of the closed ideals of the Little Oh Lipschitz class of functions on the interval [0,1] is provided. The technique used to classify the ideals of the class of continuous functions is modified and applied to the Little Oh Lipschitz class. It is shown that every ideal of these two classes has the form I = {f : flE = 0} for some closed set E C [0, 1]. Furthermore, it is demonstrated that the same technique cannot be successfully applied to the classification of the closed ideals of the Big Oh Lipschitz class.

Communication Games, Kimberly I. Noonan

Honors Theses

A communication game combines traditional n-person game theory with graph theory. The result is a model of a bargaining situation where communication is restricted. The game's multilinear extension (MLE), a polynomial that summarizes the solutions of the game, is well known for the case where the graph is a tree or simple cycle. This paper simplifies the computation of MLE of the communication game in the case when the graph is a series of simple cycles. The results are then applied to studying the power of each Canadian province in passing an amendment to the constitution, taking geographic location into …

Banach Spaces Of Analytic Functions, Michael T. Nimchek

Honors Theses

In this paper, we explore certain Banach spaces of analytic functions. In particular, we study the space A-1, demonstrating some of its basic properties including non-separability. We ask the question: given a class C of analytic functions on the unit disk D and a sequence [Zn] = 0 for all n? Finally, we explore Mz invariant subspaces of A-1, demonstrating that they may possess the codimension-2 property.

Subthreshold Dynamics In Periodically Stimulated Squid Giant Axons, Daniel Kaplan, J. R. Clay, T. Manning, L. Glass, M. R. Guevara, A. Shrier

Daniel T. Kaplan

No abstract provided.

Signal Separation By Nonlinear Projections: The Fetal Ecg, T. Schreiber, Daniel Kaplan

Daniel T. Kaplan

No abstract provided.

Σary, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

On Quaternionic Pseudo-Random Number Generators, Gary R. Greenfield

Department of Math & Statistics Technical Report Series

There is no dearth of published literature on the design, implementation, analysis, or use of pseudo-random number generators or PRNGs. For example, [6] [7] [14] and the references therein, provide a broad overview and firm grounding for the subject. This report complements and elaborates upon the work of McKeever [9], who investigated PRNGs constructed in a non-commutative setting with the target application being so-called cryptographically secure PRNGs as discussed in [12] or [13]. Novel "solutions" to the problem of designing cryptographically secure PRNGS continue to be proposed [1] [2] [10] [15], so despite the caution and skepticism required, the area …

From The Editor, 1996, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

The Mathematical Quest For The Perfect Letter, Frank J. Swetz

Humanistic Mathematics Network Journal

No abstract provided.

On Mathematics In Poetry, John S. Lew

Humanistic Mathematics Network Journal

No abstract provided.

Personal Reflections On Mathematics And Mathematics Education, Lynn E. Garner

Humanistic Mathematics Network Journal

No abstract provided.

Mathematician, Sherman K. Stein

Humanistic Mathematics Network Journal

No abstract provided.

Symmetry: A Link Between Mathematics And Life, Catherine A. Gorini

Humanistic Mathematics Network Journal

No abstract provided.

Life Math, Kathy Hayes

Humanistic Mathematics Network Journal

No abstract provided.

Monasticism And Mathematics, John F. Loase

Humanistic Mathematics Network Journal

No abstract provided.

Gresham's Law : Algorithm Drives Out Thought, Sherman K. Stein

Humanistic Mathematics Network Journal

No abstract provided.

Socrates And The Nonslave-Boy, W. M. Priestley

Humanistic Mathematics Network Journal

No abstract provided.

Using Mathematics Courses In Support Of Humanities In A Liberal Arts Curriculum, M. S. Jagadish

Humanistic Mathematics Network Journal

No abstract provided.

Multicultural Mathematical Ideas: A New Course, Bernadette Anne Berken

Humanistic Mathematics Network Journal

No abstract provided.

X-Ette, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

Ode To Numbers, Pablo Neruda

Humanistic Mathematics Network Journal

No abstract provided.

Humanistic Mathematics And The Internet: The Ugly, The Bad, And The Good, Ruth Guthrie, Judy Guthrie

Humanistic Mathematics Network Journal

No abstract provided.

Mixing Calculus, History, And Writing For Liberal Arts Students, W. M. Priestley

Humanistic Mathematics Network Journal

No abstract provided.

A Prandial Dialogue On Abstract Algebra As An Introduction To The Discipline Of Mathematics For Liberal Arts Students, Margaret Holen

Humanistic Mathematics Network Journal

No abstract provided.

Mentalism, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

Geršgorin And Beyond•••, Jason Knight Belnap

Undergraduate Honors Capstone Projects

Eigenvalues are useful in various areas of mathematics, such as in testing the critical values of a multi variable function to see if it is a local extrema. One of the more common ways to define eigenvalues is:

Definition (1): Given that A is an n by n matrix, λ is an eigenvalue of A if and only if det(A - λI_n) = 0. Any nonzero vector in Null(A - λI) is called an eigenvector associated with λ.

How I Got Gnarly, Rudy Rucker

SWITCH

The article describes how Rudy Rucker’s curious interest in celluar automata led to his career in mathematical computer science at San José State University. After conducting interviews on the theory of cellular automata as a freelance writer, he felt compelled to be involved in this great intellectual revolution in computer-aided experimental mathematics. Committed to reinventing himself, Rucker's interactions with mathematicians inspired him to write “Mind Tools”, a book that surveys mathematics from the standpoint that is information. After publishing his book, in 1987, he was eventually offered a position at SJSU in the Mathematics and Computer Science department. With assistance …