Physical Sciences and Mathematics Commons^™

The Red Top Model: A Landscape-Scale Integrodifference Equation Model Of The Mountain Pine Beetle-Lodgepole Pine Forest Interaction, Justin Heavilin

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Under normative conditions the mountain pine beetle (Dendroctonus ponderosae Hopkins) has played a regulating role in healthy lodgepole pine (Pinus contorta) forests. However, recently eruptive outbreaks that result from large pine beetle populations have destroyed vast tracts of valuable forest. The outbreaks in North America have received a great deal of attention from both the timber industry and government agencies as well as biologists and ecologists.

In this dissertation we develop a landscape-scaled integrodifference equation model describing the mountain pine beetle and its effect on a lodgepole pine forest. The model is built upon a stage-structured model …

Structural Properties Of Formal Polynomial Algebras In Noncommuting Or Nonassociating Indeterminates, Serge C. Ballif

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In order to enlarge the class of equations provided by traditional polynomials over a binary algebra A to a more useful class of equations, we introduce polynomials in noncommuting or nonassociating indeterminates. We discuss algebraic properties of these formal polynomial algebras and their accompanying polynomial function algebras. We present certain basis results for polynomial algebras, which are used to address the question of zero divisors in a polynomial algebra. We give an analog of the remainder theorem and the factor theorem for polynomials. Particular emphasis is placed on showing the difference between polynomials and polynomial functions. We also provide a …

Why? Why? Why?: Future Teachers Discover Mathematical Depth, Perla Myers Phd

Mathematics: Faculty Scholarship

In mathematics, it is not just the how, the procedures for solving problems, that is important, but the why, the underlying concepts, Perla Myers explains. When teachers regain the childlike wonder that leads them to seek the why of math, they will be better able to help their students learn.

Reality Properties Of Conjugacy Classes In Algebraic Groups., Anupam Kumar Singh Dr.

Doctoral Theses

In this thesis we denote a field by k. We consider fields of characteristic not 2 unless stated otherwise. The notation ¯k and ks denotes an algebraic closure and separable closure of k respectively. The symbols Q, R, C will denote fields of rational, real, complex numbers respectively. The symbol Z will denote the set of integers. We denote by cd(k) the cohomological dimension of k.We use G to denote an algebraic group and G(k) to denote the group of k rational points of G. Sometimes we abuse notation and denote the group of ¯k points of G by G. …

The Square Root Function Of A Matrix, Crystal Monterz Gordon

Mathematics Theses

Having origins in the increasingly popular Matrix Theory, the square root function of a matrix has received notable attention in recent years. In this thesis, we discuss some of the more common matrix functions and their general properties, but we specifically explore the square root function of a matrix and the most efficient method (Schur decomposition) of computing it. Calculating the square root of a 2×2 matrix by the Cayley-Hamilton Theorem is highlighted, along with square roots of positive semidefinite matrices and general square roots using the Jordan Canonical Form.

Forecasting The Chinese Futures Markets Prices Of Soy Bean And Green Bean Commodities, Kouadio Kouman Dongo

Mathematics Theses

Using both single and vector processes, we fitted the Box-Jenkin’s ARIMA model and the Vector Autoregressive model following the Johansen approach, to forecast soy bean and green bean prices on the Chinese futures markets. The results are encouraging and provide empirical evidence that the vector processes perform better than the single series. The co-integration test indicated that the null hypothesis of no co-integration among the relevant variables could be rejected. This is one of the most important findings in this paper. The purposes for analyzing and modeling the series jointly are to understand the dynamic relationships over time among the …

2007 Sonia Kovalevsky Math For Girls Day Featured Workshop: Knot Theory, Association For Women In Mathematics, Lincoln University Of Missouri

Math for Girls Day Documents

2nd Annual Lincoln University Sonia Kovalevsky Math for Girls Day featured workshop by Mrs. Bernadette Turner on the topic of knot theory.

Anisotropic Diffusion Techniques On Synthetic Aperture Radar Data, Josef Vaughn De Allen, Emile Ganthier, Gnana Bhaskar Tenali

Mathematics and System Engineering Faculty Publications

Speckle in SAR imagery is a by-product of constructive and destructive interference between scatterers within a resolution cell. This speckle phenomenon gives SAR imagery a "noise-like" appearance and is often exploited in near angle and/or coherent stereo pairs. However, in many cases, this speckle is unwanted and can be considered noise or interference. We use partial differential equation (PDE) methods for speckle mitigation in detected imagery and the collected complex image data. In particular, we study the effects of non-linear anisotropic diffusion filters on collected SAR image data. In the past, anisotropic diffusion (AD) techniques have been successfully used in …

Anticipating Semilinear Spdes (International Conference Stochastic Analysis And Stochastic Geometry), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

No abstract provided.

Longitudinal Curves For Behaviors Of Children Diagnosed With A Brain Tumor, Huayan Chai

Mathematics Theses

Change in adaptive outcomes of children who are treated for brain tumors is examined using longitudinal data. The children received different types of treatment from none to any combinations of three treatments, which are surgery, radiation and chemotherapy. In this thesis, we use mixed model to find the significant variables that predict change in outcomes of communication skill, daily living skills and socialization skill. Fractional polynomial transformation method and Gompertz method are applied to build non-linear longitudinal curves. We use PRESS as the criterion to compare these two methods. Comparison analysis shows the effect of each significant variable on adaptive …

Squares Of Characters And Finite Groups, Edith Adan-Bante

Faculty Publications

Let G be a finite group and χ be an irreducible complex character. We study the character χ² in the case that χ(1) is a prime power.

Ua66 2007 Student Awards Ceremony, Wku Ogden College Of Science & Engineering

WKU Administration Documents

Program recognizing Ogden College students with brief list of activities for each student.

Stable Algebras Of Entire Functions, Dan Coman, Evgeny A. Poletsky

Mathematics - All Scholarship

Suppose that h and g belong to the algebra B generated by the rational functions and an entire function f of finite order on Cⁿ and that h/g has algebraic polar variety. We show that either h/g in B or f = q₁e^p +q₂, where p is a polynomial and q¹, q² are rational functions. In the latter case, h/g belongs to the algebra generated by the rational functions, e^p and e^−p.

Anticipating Semilinear Spdes (International Conference Modern Perpspectives In Real And Stochastic Analysis), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

No abstract provided.

Complete Shrinking Ricci Solitons Have Finite Fundamental Group, William Wylie

Mathematics - All Scholarship

We show that if a complete Riemannian manifold supports a vector field such that the Ricci tensor plus the Lie derivative of the metric with respect to the vector field has a positive lower bound, then the fundamental group is finite. In particular, it follows that complete shrinking Ricci solitons and complete smooth metric measure spaces with a positive lower bound on the Bakry-Emery tensor have finite fundamental group. The method of proof is to generalize arguments of Garcia-Rio and Fernandez-Lopez in the compact case.

An Assembly Language I.D.E. To Engage Students Of All Levels: Tutorial Presentation, Pete Sanderson, Kenneth Vollmar

Mathematics Faculty Scholarship

MIPS assembly language is widely taught in computer organization and related courses due to its elegant design and ease of learning. In this workshop, participants will explore varied uses of the MARS integrated development environment (IDE) and simulator for MIPS assembly language programming. Basic exploration is guided by a set of MIPS programming exercises to illustrate MARS use and its extensive and intuitive interactive debugging capabilities. The next level of exploration will introduce MARS "tools", applications that can interact with executing MIPS programs by observing the simulated MIPS memory and registers. Exercises will demonstrate how currently-available MARS tools can be …

Preface

Communications on Stochastic Analysis

No abstract provided.

Lie Algebras Associated With The Renormalized Higher Powers Of White Noise, Luigi Accardi, Andreas Boukas

Communications on Stochastic Analysis

No abstract provided.

Infinite-Dimensional Parabolic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow

Communications on Stochastic Analysis

No abstract provided.

Dilation Of A Class Of Quantum Dynamical Semigroups, Debashish Goswami, Kalyan B Sinha

Communications on Stochastic Analysis

No abstract provided.

The Large Scale Behavior Of Super-Brownian Motion In Three Dimensions With A Single Point Source, Klaus Fleischmann, Carl Mueller, Pascal Vogt

Communications on Stochastic Analysis

No abstract provided.

Percolation In A Hierarchical Random Graph, D A Dawson, L G Gorostiza

Communications on Stochastic Analysis

No abstract provided.

The Representation Of Conditional Expectations For Non-Gaussian Noise, Tobias Kuna, Ludwig Streit

Communications on Stochastic Analysis

No abstract provided.

Schrödinger Operators On The Wiener Space, Ichiro Shigekawa

Communications on Stochastic Analysis

No abstract provided.

A Central Limit Type Theorem For A Class Of Particle Filters, Dan Crisan, Jie Xiong

Communications on Stochastic Analysis

No abstract provided.

Stochastic 2-D Navier-Stokes Equation With Artificial Compressibility, Utpal Manna, J L Menaldi, S S Sritharan

Communications on Stochastic Analysis

No abstract provided.

Infinite Dimensional Laplacians On A Lévy-Gelfand Triple, Abdessatar Barhoumi, Hui-Hsiung Kuo, Habib Ouerdiane

Communications on Stochastic Analysis

No abstract provided.

Application Of White Noise Calculus In Evaluating The Path Integral In Relativistic Quantum Mechanics, C C Bernido, J B Bornales, M V Carpio-Bernido

Communications on Stochastic Analysis

No abstract provided.

Brownian Super-Exponents, Victor Goodman

Communications on Stochastic Analysis

No abstract provided.

Suboptimal Minimax Design Of Constrained Parabolic Systems With Mixed Boundary Control, Boris S. Mordukhovich

Mathematics Research Reports

The paper concerns minimax control problems for linear multidimensional parabolic systems with distributed uncertain perturbations and control functions acting in mixed (Robin) boundary conditions. The main goal is to design a feedback control regulator that ensures the required state performance and robust stability under any feasible perturbations and minimize an energy-type functional under the worst perturbations from the given area. We design and justify an easily implemented suboptimal structure of the feedback boundary regulator and compute its optimal parameters ensuring the required state performance and robust stability of the nonlinear closed-loop control system on the infinite horizon.