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2002

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Articles 61 - 90 of 238

Full-Text Articles in Mathematics

Notes On Formal Constructivism, D. Joyner, P. Lejarraga Jun 2002

Notes On Formal Constructivism, D. Joyner, P. Lejarraga

Humanistic Mathematics Network Journal

Our aim is to sketch some ideas related to how we (as in, we two) think we (as in, we humans) think. "That theory is useless. It isn't even wrong." - Wolfgang Pauli. Our hope in this paper is to provide a theory, admittedly somewhat vague, of how we think about mathematics. We also hope our ideas do not cause the reader to be reminded of Pauli's quote above. These notes were motivated by the interesting book by Changeaux and Connes.

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Calculus, Sarah Glaz Jun 2002

Calculus, Sarah Glaz

Humanistic Mathematics Network Journal

No abstract provided.

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Aphorisms, Lee Goldstein Jun 2002

Aphorisms, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

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When Is A Math Problem Really "Real"?, Michael E. Goldberg Jun 2002

When Is A Math Problem Really "Real"?, Michael E. Goldberg

Humanistic Mathematics Network Journal

No abstract provided.

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Book Review: The Teaching Gap By James W. Stigler And James Hiebert, Michael L. Brown Jun 2002

Book Review: The Teaching Gap By James W. Stigler And James Hiebert, Michael L. Brown

Humanistic Mathematics Network Journal

No abstract provided.

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"Magic In A Box", Lacie Juris Jun 2002

"Magic In A Box", Lacie Juris

Humanistic Mathematics Network Journal

No abstract provided.

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Divisibility: A Problem Solving Approach Through Generalizing And Specializing, Rina Zazkis Jun 2002

Divisibility: A Problem Solving Approach Through Generalizing And Specializing, Rina Zazkis

Humanistic Mathematics Network Journal

This paper describes a divisibility rule for any prime number as an engaging problem-solving activity for preservice secondary school mathematics teachers.

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Special Section: On The Publication Of The 26th Issue Of The Humanistic Mathematics Network Journal, Sandra Z. Keith Jun 2002

Special Section: On The Publication Of The 26th Issue Of The Humanistic Mathematics Network Journal, Sandra Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.

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Teaching As Though Students Mattered: A Biography Of Alvin White As Told To Sandra Keith, Alvin White, Sandra Z. Keith Jun 2002

Teaching As Though Students Mattered: A Biography Of Alvin White As Told To Sandra Keith, Alvin White, Sandra Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.

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Humanistic Mathematics: Personal Evolution And Excavations, Stephen I. Brown Jun 2002

Humanistic Mathematics: Personal Evolution And Excavations, Stephen I. Brown

Humanistic Mathematics Network Journal

No abstract provided.

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Creating Successful Calculus Writing Assignments, Kris H. Green Jun 2002

Creating Successful Calculus Writing Assignments, Kris H. Green

Mathematical and Computing Sciences Faculty/Staff Publications

I discuss three different writing assignments that I have used in my calculus courses. These assignments are introduced with a discussion of purpose and audience. Defining these qualities of an assignment will ensure that your writing assignments are more successful. The assignments discussed and explored here represent three different purposes: personal, informational and a blend of the two. The audiences for these assignments are diverse and force the students to incorporate particular modes of writing that demonstrate much of their thinking. Assessment of student learning as a result of these assignments is discussed. A fourth writing assignment is developed from …

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Computational Geometry Column 43, Joseph O'Rourke Jun 2002

Computational Geometry Column 43, Joseph O'Rourke

Computer Science: Faculty Publications

The concept of pointed pseudo-triangulations is defined and a few of its applications described.

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Nonlinear Interfacial Stability Of Core-Annular Film Flows In The Presence Of Surfactants, Said A. Kas-Danouche May 2002

Nonlinear Interfacial Stability Of Core-Annular Film Flows In The Presence Of Surfactants, Said A. Kas-Danouche

Dissertations

This work is an analytical and computational study of the nonlinear interfacial instabilities found in core-annular flows in the presence of surfactants. Core-annular flows arise when two immiscible fluids (for example water and oil) are caused to flow in a pipe under the action of ail axial pressure gradient. In one typical type of flow regime, the fluids arrange themselves so that the less viscous (e.g. water) lies in the region of high shear near the pipe wall, with the more viscous fluid occupying the core region. Tech nologically, this arrangement provides an advantage since the highly viscous fluid is …

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Temporal Synchronization Of Ca1 Pyramidal Cells By High-Frequency, Depressing Inhibition, In The Presence Of Intracellular Noise, Stephen A. Kunec May 2002

Temporal Synchronization Of Ca1 Pyramidal Cells By High-Frequency, Depressing Inhibition, In The Presence Of Intracellular Noise, Stephen A. Kunec

Dissertations

The Sharp Wave-associated Ripple is a high-frequency, extracellular recording observed in the rat hippocampus during periods of immobility. During the ripple, pyramidal cells synchronize over a short period of time despite the fact that these cells have sparse recurrent connections. Additionally, the timing of synchronized pyramidal cell spiking may be critical for encoding information that is passed on to post-hippocampal targets. Both the synchronization and precision of pyramidal cells is believed to be coordinated by inhibition provided by a vast array of interneurons. This dissertation proposes a minimal model consisting of a single interneuron which synapses onto a network of …

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Instability Of Electrified Viscous Films, Knograt Savettaseranee May 2002

Instability Of Electrified Viscous Films, Knograt Savettaseranee

Dissertations

We examine the stability of a thin two-dimensional liquid film with a regular electric field applied in a direction parallel to an initially flat bounding fluid interface. We study the distinct physical effects of surface tension, van der Waals and electrically induced forces for a viscous incompressible fluid. The film is assumed to be sufficiently thin, and the surface tension and electrically induced forces are large enough that gravity can be ignored to the leading order. Our target is to analyse the nonlinear stability of the flow. We attain this by deriving and numerically solving a set of nonlinear evolution …

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Limits Highlights From Over 2000 Years Of Developments In Calculus Limits, Lauri A. Nevalainen May 2002

Limits Highlights From Over 2000 Years Of Developments In Calculus Limits, Lauri A. Nevalainen

Honors Capstones

Capstone submitted as a graduation requirement for the BSU Honors Program.

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Slippage And Change Point Problem With Directional Data., Arnab Kumar Laha Dr. May 2002

Slippage And Change Point Problem With Directional Data., Arnab Kumar Laha Dr.

Doctoral Theses

In this thesis we develop statistical methods for dealing with two problems namely (1) THE SLIPPAGE PROBLEM and (2) THE CHANGE POINT PROB- LEM in the set-up of directional data. In this chapter, we provide an intro- duction to these problems and discuss the importance of the present work. The slippage problem is basically a problem to detect whether any unspecified observation in a given random sample comes from a distribution different from that for all the other remaining observations. This can also be viewed as a problem of outlier detection or that of spuriosity. This problem assumes great importance …

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The Mathematics Of T. Benny Rushing, James Keesling, Luis Montejano, Gerard A. Venema May 2002

The Mathematics Of T. Benny Rushing, James Keesling, Luis Montejano, Gerard A. Venema

University Faculty Publications and Creative Works

No abstract provided.

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Representing Homology Classes Of Simply Connected 4-Manifolds, Vo Thanh Liem, Gerard A. Venema May 2002

Representing Homology Classes Of Simply Connected 4-Manifolds, Vo Thanh Liem, Gerard A. Venema

University Faculty Publications and Creative Works

The main theorem asserts that every 2-dimensional homology class of a compact simply connected PL 4-manifold can be represented by a codimension-0 submanifold consisting of a contractible manifold with a single 2-handle attached. One consequence of the theorem is the fact that every map of S2 into a simply connected, compact PL 4-manifold is homotopic to an embedding if and only if the same is true for every homotopy equivalence. The theorem is also the main ingredient in the proof of the following result: If W is a compact, simply connected, PL submanifold of S4, then each element of H2(W;ℤ) …

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Nonorthogonal Polyhedra Built From Rectangles, Melody Donoso, Joseph O'Rourke May 2002

Nonorthogonal Polyhedra Built From Rectangles, Melody Donoso, Joseph O'Rourke

Computer Science: Faculty Publications

We prove that any polyhedron of genus zero or genus one built out of rectangular faces must be an orthogonal polyhedron, but that there are nonorthogonal polyhedra of genus seven all of whose faces are rectangles. This leads to a resolution of a question posed by Biedl, Lubiw, and Sun [BLS99].

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Local Rings Of Countable Cohen-Macaulay Type, Craig Huneke, Graham J. Leuschke May 2002

Local Rings Of Countable Cohen-Macaulay Type, Craig Huneke, Graham J. Leuschke

Mathematics - All Scholarship

We prove (the excellent case of) Schreyer's conjecture that a local ring with countable Cohen-Macaulay type has at most a one-dimensional singular locus. Furthermore we prove that the localization of a Cohen-Macaulay local ring of countable CM type is again of countable CM type.

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Communicator-In-Chief: Presidential Use Of Television Past, Present, And Future, Jenna Wasson May 2002

Communicator-In-Chief: Presidential Use Of Television Past, Present, And Future, Jenna Wasson

Honors Theses

This thesis seeks to determine how television has changed as a communication medium for presidents over the past half century. An evaluation of the evolving ways presidents use television to communicate with and to build support from the American people has been conducted. Presidential communication strategies have been identified by drawing primarily from primary sources written by presidents and White House staff. Television technology and the television audience have changed over the years. Presidents have taken a more pro-active, aggressive role in their efforts to harness television for their own purposes. Why have these changes occurred? What impact have these …

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Σary, Minnesota State University Moorhead, Mathematics Department May 2002

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

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The Uniform Convergence Of Special Standardized Distributions, Marcia Lami May 2002

The Uniform Convergence Of Special Standardized Distributions, Marcia Lami

Masters Theses & Specialist Projects

In this thesis, the uniform convergence of two special standardized distributions are examined. The Gamma distribution is standardized, and then the probability density function of the standardized Gamma distribution is shown to converge uniformly to the probability density function of the normal distribution. The F-distribution is standardized, and then the probability density function of the standardized F-distribution is shown to converge uniformly to the probability density function of the normal distribution. Along the way, some other interesting limits are observed.

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On The Existence Of Multiple Positive Solutions For A Semilinear Problem In Exterior Domains, Yinbin Deng, Yi Li May 2002

On The Existence Of Multiple Positive Solutions For A Semilinear Problem In Exterior Domains, Yinbin Deng, Yi Li

Mathematics and Statistics Faculty Publications

In this paper, we study the existence and nonexistence of multiple positive solutions for problem where Ω=N\ω is an exterior domain in N, ω⊂N is a bounded domain with smooth boundary, and N>2. μ⩾0, p>1 are some given constants. K(x) satisfies: K(x)∈Cαloc(Ω) and ∃C, ϵ, M>0 such that |K(x)|⩽C |x|l for any |x|⩾M, with l⩽ −2−ϵ. Some existence and …

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Phase-Space Transport Of Stochastic Chaos In Population Dynamics Of Virus Spread, Lora Billings, Erik M. Bollt, Ira B. Schwartz May 2002

Phase-Space Transport Of Stochastic Chaos In Population Dynamics Of Virus Spread, Lora Billings, Erik M. Bollt, Ira B. Schwartz

Department of Mathematics Faculty Scholarship and Creative Works

A general way to classify stochastic chaos is presented and applied to population dynamics models. A stochastic dynamical theory is used to develop an algorithmic tool to measure the transport across basin boundaries and predict the most probable regions of transport created by noise. The results of this tool are illustrated on a model of virus spread in a large population, where transport regions reveal how noise completes the necessary manifold intersections for the creation of emerging stochastic chaos.

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On Markov Chain Monte Carlo Methods For Neural Networks, Raul Cruz-Cano May 2002

On Markov Chain Monte Carlo Methods For Neural Networks, Raul Cruz-Cano

Open Access Theses & Dissertations

Neural Networks (NN) have been used successfully to solve many different problems. It is an area of computer science and statistics that is very useful in real life. The advantages of NN consist of their ability to produce nonlinear input-output mapping, their adaptability, fault tolerance, uniform analysis and design. The search for better ways to train them consists of trying to find the optimal values of their free parameters. Some of these training algorithms are based on Markov Chains. They have some advantages over the traditionally used deterministic methods. In this document the main ideas related to these concepts are …

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Essays In Indian Corporate Finance., K. V. S. Vinay Dr. Apr 2002

Essays In Indian Corporate Finance., K. V. S. Vinay Dr.

Doctoral Theses

This thesis comprises of three essays in corporate finance focusing on the Indian economy. The first essay contains a theoretical model while the second and the third essays are empirical exercises. In the subsequent paragraphs of this section, we examine the broader issues to which the contents of the thesis contribute.The past few years have seen rising interest in studies of financial insti- tutions and corporate financial policies in countries other than the United States. One of the reasons for such a shift in attention is the diversity in the size and structure of financial arrangements all over the world. …

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Four-Person Envy-Free Chore Division, Elisha Peterson '00, Francis E. Su Apr 2002

Four-Person Envy-Free Chore Division, Elisha Peterson '00, Francis E. Su

All HMC Faculty Publications and Research

No abstract provided in this article

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A Stirling Encounter With Harmonic Numbers, Arthur T. Benjamin, Gregory O. Preston '01, Jennifer J. Quinn Apr 2002

A Stirling Encounter With Harmonic Numbers, Arthur T. Benjamin, Gregory O. Preston '01, Jennifer J. Quinn

All HMC Faculty Publications and Research

No abstract provided in this article.

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