Digital Commons Network^™

Thinking About The Preparation Of Teachers Of Elementary School Mathematics, Jane Wenstrom, Kathleen Martin, Susan King

Humanistic Mathematics Network Journal

No abstract provided.

Triangle, Ian Ross

Humanistic Mathematics Network Journal

No abstract provided.

The Use Of Realistic Imagery To Represent The Relationships In A Four-Dimensional Coordinate System, Randal J. Bishop

Humanistic Mathematics Network Journal

No abstract provided.

Problems That Matter: Teaching Mathematics As Critical Engagement, Jeffrey Bohl

Humanistic Mathematics Network Journal

No abstract provided.

On Solving Equations, Negative Numbers, And Other Absurdities: Part I, Ralph A. Raimi

Humanistic Mathematics Network Journal

No abstract provided.

The Poetics Of E=Mc2, Richard A. Schwartz

Humanistic Mathematics Network Journal

No abstract provided.

Tessellations, Zan Jabara

Humanistic Mathematics Network Journal

No abstract provided.

The Smarandache Semantic Paradox, Anthony Begay

Humanistic Mathematics Network Journal

No abstract provided.

Mr. Trapezoid's Walk, Michael Pillar

Humanistic Mathematics Network Journal

No abstract provided.

Fun With Algebra!, Janelle Kulik

Humanistic Mathematics Network Journal

No abstract provided.

Poem, Natalie Kashhefi

Humanistic Mathematics Network Journal

No abstract provided.

Death, Trial And Life, Prem N. Bajaj

Humanistic Mathematics Network Journal

No abstract provided.

Robert Davis: In Memoriam, Carolyn A. Maher, Robert Speiser

Humanistic Mathematics Network Journal

No abstract provided.

Geometry In Nature, Rachel Finkelstein

Humanistic Mathematics Network Journal

No abstract provided.

Real Data, Real Math, All Classes, No Kidding, Martin Vern Bonsangue

Humanistic Mathematics Network Journal

No abstract provided.

A Comparison Of Deterministic And Stochastic Population Models, Clarissa Smith

Masters Theses & Specialist Projects

In this thesis, the author considers the exponential and the predator-prey population models. A comparison of the deterministic and stochastic versions of each is made. The author shows that on average a stochastic model is precisely its corresponding deterministic model. The first model considered is the exponential model. A solution is provided for both the deterministic and the stochastic versions. A predator-prey model is also analyzed. A solution of the stochastic predator-prey model is shown to be intractable. Analysis of this model is performed through numerical simulation.

Math Poem, Beth Corridori

Humanistic Mathematics Network Journal

No abstract provided.

The Poem Of Math, Michelle Wang

Humanistic Mathematics Network Journal

No abstract provided.

Book Review: The Courage To Teach By Parker Palmer, Sandra Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.

I Love To Add, Kyle Cotler

Humanistic Mathematics Network Journal

No abstract provided.

Math Rules, Blake Mayer

Humanistic Mathematics Network Journal

No abstract provided.

Geometric Shapes, Sam Dudley

Humanistic Mathematics Network Journal

No abstract provided.

On Different Integrable Systems Sharing The Same Nondynamical R-Matrix, Zhijun Qiao, Walter Strampp

School of Mathematical & Statistical Sciences Faculty Publications

In a recent paper @Zhijun Qiao and Ruguang Zhou, Phys. Lett. A 235, 35 ~1997!#, the amazing fact was reported that a discrete and a continuous integrable system share the same r-matrix with the interesting property of being nondynamical. Now, we present three further pairs of different continuous integrable systems sharing the same r-matrix again being nondynamical. The first pair is the finite-dimensional constrained system ~FDCS! of the famous AKNS hierarchy and the Dirac hierarchy; the second pair is the FDCS of the well-known geodesic flows on the ellipsoid and the Heisenberg spin chain hierarchy; and the third pair is …

Statistical Characterization Of Fluvial-Deltaic Reservoirs With Archetypes, Laura L. Watkins

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Optimizing the extraction of oil and other hydrocarbon products from existing sites is important. One source of hydrocarbon products is reservoirs found within sedimentary rock formations. Understanding fluid behavior within such formations can be quite useful in optimizing oil production. Fluid behavior within sedimentary formations is influenced by the bedform structure and permeabilities within the formation. Thus, we are concerned with developing a physically and statistically valid method of characterizing sedimentary rock formations. The use of archetypal analysis to generate synthetic bedforms, as well as the use of Kriging to assign permeabilities within a bedform, was explored. With these tools, …

Problems In Harmonic Function Theory, Ronald A. Walker

Honors Theses

Harmonic Function Theory is a field of differential mathematics that has both many theoretical constructs and physical connections, as well as its store of classical problems.

One such problem is the Dirichlet Problem. While the proof of the existence of a solution is well-founded on basic theory, and general methods for polynomial solutions have been well studied, much ground is still yet to be overturned. In this paper we focus on the examination, properties and computation methods and limitations, of solutions for rational boundary functions.

Another area that we shall study is the properties and generalizations of the zero sets …

Classification Of Hereditary Matrices, Jim Agler, J. W. Helton, Mark Stankus

Mathematics

A classical approach used to obtain basic facts in the theory of square matrices involves an analysis of the relationship between polynomials p in one variable and square matrices T such that p(T) = 0. We consider matrices and operators which satisfy a different type of polynomial constraint. Let H be a complex Hilbert space, T be a bounded linear transformation of H, T* be the adjoint of T, and C[x, y] be the algebra of polynomials in x and y with complex coefficients. For a polynomial p E C[x, y] in …

Counting Structures In The Möbius Ladder, John P. Mcsorley

Articles and Preprints

The Möbius ladder, M_n, is a simple cubic graph on 2n vertices. We present a technique which enables us to count exactly many different structures of M_n, and somewhat unifies counting in M_n. We also provide new combinatorial interpretations of some sequences, and ask some questions concerning extremal properties of cubic graphs.

Ua66/10/2 Alumni Newsletter, Wku Mathematics

WKU Administration Documents

Newsletter created by and about the WKU Mathematics department.

Sparse Equation-Eigen Solvers For Symmetric/Unsymmetric Positive-Negative-Indefinite Matrices With Finite Element And Linear Programming Applications, Hakakizumwami Birali Runesha

Civil & Environmental Engineering Theses & Dissertations

Vectorized sparse solvers for direct solutions of positive-negative-indefinite symmetric systems of linear equations and eigen-equations are developed. Sparse storage schemes, re-ordering, symbolic factorization and numerical factorization algorithms are discussed. Loop unrolling techniques are also incorporated in the coding to enhance the vector speed. In the indefinite solver, which employs various pivoting strategies, a simple rotation matrix is introduced to simplify the computer implementation. Efficient usage of the incore memory is accomplished by the proposed "restart memory management" schemes. A sparse version of the Interior Point Method, IPM, has also been implemented that incorporates the developed indefinite sparse solver for linear …

Mathematical Models Of Tumors And Their Remote Metastases, Carryn Bellomo

Mathematics & Statistics Theses & Dissertations

Clinical observations and indications in the literature have led us to investigate several models of tumors. For example, it has been shown that a tumor has the ability to send out anti-growth factors, or inhibitors, to keep its remote metastases from growing. Thus, we model the depleting effect of such a growth inhibitor after the removal of the primary tumor (thus removing the source) as a function of time t and distance from the original tumor r.

It has also been shown clinically that oxygen and glucose are nutrients critical to the survival and growth of tumors. Thus, we model …