Digital Commons Network^™

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.

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 …

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.

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.

Σary, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

From The Editor, 1996, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

Mathematician, Sherman K. Stein

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.

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

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.

On Mathematics In Poetry, John S. Lew

Humanistic Mathematics Network Journal

No abstract provided.

Multicultural Mathematical Ideas: A New Course, Bernadette Anne Berken

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.

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

Humanistic Mathematics Network Journal

No abstract provided.

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

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.

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

Humanistic Mathematics Network Journal

No abstract provided.

X-Ette, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

Mentalism, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

The Use Of Non-Commutative Algebra In Cryptographically Secure Pseudo-Random Number Generators, Brian M. Mckeever

Honors Theses

This thesis begins with a general overview of pseudo-random number generators and some of their applications. This thesis then describes their applications to cryptography, and some additional requirements imposed by cryptography. This thesis then provides an introduction to the ring of quaternions, and discusses how they can be included in pseudo-random number generators. Finally, this thesis provides a description of the performance of these generators.

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.

History Of Fermat's Last Theorem, Amanda Brown

Undergraduate Honors Capstone Projects

Around 1637, Pierre de Fermat made a now-famous mathematical conjecture. However, Fermat's conjecture neither began nor ended with him. Fermat's last theorem, as the conjecture is called, has roots approximately 3600 years old. The proof of the theorem was not realized until 1994, over 350 years after it was proposed by Fermat.

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 …

Application Of Neural Networks To The Non-Destructive Testing Of Aluminum Cans, B. Balasubramaniam, Daniel .. Clair

Computer Science Technical Reports

Neural Networks are used to c lassify aluminum beverage containers as acceptable or non acceptable, depending upon their wall thicknesses. For each can, the thickness of the wall of the can at different points is measured using a non-destructive, ultra-sound technique. These measureI\}ents are then applied as inputs to the networks and the classification is provided as the output Three architectures, one unsupervised and two supervised, are tested. Their performances are analyzed and compared and the paradigm best suited to the problem is selected.

Computer Assisted Control Of Robotic Rock Drilling Equipment Using Rock Face Image Mapping, William Robert Macneil, Peter (C. Y.)(Chung You) Ho

Computer Science Technical Reports

Use of a totally unmanned mining robot is an ideal solution in removing humans from the dangerous underground mining environment. However, a complete autonomous system is a long way from reality. In the meantime, steps towards that goal can be made and integrated into current mining technology to take away some of the risk and stress from the miner making him more alert and the environment safer for those that do have to be undergroμnd. For our purposes here, the machine will be an automated robotic platform with the intelligence necessary for accurate placement of the drill tip on an …

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 …