Quantifying Chaos In Dynamical Systems With Lyapunov Exponents,
2016
Hope College
Quantifying Chaos In Dynamical Systems With Lyapunov Exponents, Michael Van Opstall
Furman University Electronic Journal of Undergraduate Mathematics
In this paper we analyze the dynamics of a four dimensional mechanical system which exhibits sensitive dependence on initial conditions. The aim of the paper is to introduce the basic ideas of chaos theory while assuming only a course in ordinary differential equations as a prerequisite.
Divisability Tests,
2016
B.J.B. College
Divisability Tests, Apoorva Khare
Furman University Electronic Journal of Undergraduate Mathematics
In this paper, we give a new method to test the divisibility of any positive integer by another. First, we outline the usual test, in which one proceeds from right to left, i.e. the direction opposite the one taken while carrying out long division. After pointing out some of the problems with this method, we give another method, which forms the core of this paper. This latter method works along the same lines as the earlier one, but here one proceeds from left to right. Examples of some well known divisibility tests for special divisors are given along with some …
Maximum Matchings In Complete Multipartite Graphs,
2016
University of Southern Mississippi
Maximum Matchings In Complete Multipartite Graphs, David Sitton
Furman University Electronic Journal of Undergraduate Mathematics
How many edges can there be in a maximum matching in a complete multipartite graph? Several cases where the answer is known are discussed, and then a new formula is given which answers this question.
Compactifications Of Topological Spaces,
2016
Calvin College
Compactifications Of Topological Spaces, Jay Blankespoor, John Krueger
Furman University Electronic Journal of Undergraduate Mathematics
Given a locally compact, Hausdorff space, χ, there are several ways to compactify it. We examine two of these compactifications – the one-point compactification, X̌, and the Stone-Čech compactification, β(χ) – and give conditions which guarantee that X̌ ≠ β(χ). We also give new examples of topological spaces for which X̌ = β(χ).
Conjugacy Classes Of Triple Products In Finite Groups,
2016
Villanova University
Conjugacy Classes Of Triple Products In Finite Groups, Emily Salvo, Kevin Hutson
Furman University Electronic Journal of Undergraduate Mathematics
Let G be a finite group and let T1 be the number of times a triple (x, y, z) ∈ G3 binds X, where X = {xyz, xzy, yxz, yzx, zxy, zyx}, to one conjugacy class. Let T2 denote the number of times a triple G3 breaks X into two conjugacy classes. We have established the following results: i) the probability that a triple (x, y, z) ∈ D3n binds X to one contingency class is ≥ 5/8. ii) for groups such …
The N-Extent Of S3(P,M),
2016
Rice University
The N-Extent Of S3(P,M), Paul Jung, Tucker Mcelroy, Jason Samuels
Furman University Electronic Journal of Undergraduate Mathematics
In this paper we estimate xtn (S3 (p, m)), the n-extent of various lens spaces. We give numerical evidence for extending certain results of D. G. Yang [Duke Math. J., 74 (1994), 531-545.] to primes p between 11 and 37. We explain the implication of our results for the topology of 4-dimensional manifolds of positive sectional curvature with nontrivial isometric Zp-actions.
Comparing Local Constants Of Ordinary Elliptic Curves In Dihedral Extensions,
2016
College of Saint Benedict/Saint John's University
Comparing Local Constants Of Ordinary Elliptic Curves In Dihedral Extensions, Sunil Chetty
Mathematics Faculty Publications
We establish, for a substantial class of elliptic curves, that the arithmetic local constants introduced by Mazur and Rubin agree with quotients of analytic root numbers.
Injury Severity Data For Front And Second Row Passengers In Frontal Crashes,
2016
Kettering University
Injury Severity Data For Front And Second Row Passengers In Frontal Crashes, Theresa Atkinson, Leszek Gawarecki, Massoud S. Tavakoli
Mathematics Publications
The data contained here were obtained from the National Highway Transportation Safety Administration׳s National Automotive Sampling System – Crashworthiness Data System (NASS-CDS) for the years 2008–2014. This publically available data set monitors motor vehicle crashes in the United States, using a stratified random sample frame, resulting in information on approximately 5000 crashes each year that can be utilized to create national estimates for crashes. The NASS-CDS data sets document vehicle, crash, and occupant factors. These data can be utilized to examine public health, law enforcement, roadway planning, and vehicle design issues. The data provided in this brief are a subset …
Σary,
2016
Minnesota State University Moorhead
Σary, Minnesota State University Moorhead, Mathematics Department
Math Department Newsletters
No abstract provided.
Morphisms And Order Ideals Of Toric Posets,
2016
Clemson University
Morphisms And Order Ideals Of Toric Posets, Matthew Macauley
Publications
Toric posets are in some sense a natural “cyclic” version of finite posets in that they capture the fundamental features of a partial order but without the notion of minimal or maximal elements. They can be thought of combinatorially as equivalence classes of acyclic orientations under the equivalence relation generated by converting sources into sinks, or geometrically as chambers of toric graphic hyperplane arrangements. In this paper, we define toric intervals and toric order-preserving maps, which lead to toric analogues of poset morphisms and order ideals. We develop this theory, discuss some fundamental differences between the toric and ordinary cases, …
Development Of Utility Theory And Utility Paradoxes,
2016
Lawrence University
Development Of Utility Theory And Utility Paradoxes, Timothy E. Dahlstrom
Lawrence University Honors Projects
Since the pioneering work of von Neumann and Morgenstern in 1944 there have been many developments in Expected Utility theory. In order to explain decision making behavior economists have created increasingly broad and complex models of utility theory. This paper seeks to describe various utility models, how they model choices among ambiguous and lottery type situations, and how they respond to the Ellsberg and Allais paradoxes. This paper also attempts to communicate the historical development of utility models and provide a fresh perspective on the development of utility models.
Efficient Experimental Design Strategies In Toxicology And Bioassay,
2016
Loyola University Chicago
Efficient Experimental Design Strategies In Toxicology And Bioassay, Timothy O'Brien
Mathematics and Statistics: Faculty Publications and Other Works
Modelling in bioassay often uses linear or nonlinear logistic regression models, and relative potency is often the focus when two or more compounds are to be compared. Estimation in these settings is typically based on likelihood methods. Here, we focus on the 3-parameter model representation given in Finney (1978) in which the relative potency is a model parameter. Using key matrix results and the general equivalence theorem of Kiefer & Wolfowitz (1960), this paper establishes key design properties of the optimal design for relative potency using this model. We also highlight aspects of subset designs for the relative potency parameter …
Representation And Gaussian Bounds For The Density Of Brownian Motion With Random Drift,
2016
Louisiana State University
Representation And Gaussian Bounds For The Density Of Brownian Motion With Random Drift, Azmi Makhlouf
Communications on Stochastic Analysis
No abstract provided.
Clark Formula For Local Time For One Class Of Gaussian Processes,
2016
Louisiana State University
Clark Formula For Local Time For One Class Of Gaussian Processes, A A Dorogovtsev, O L Izyumtseva, G V Riabov, Naoufel Salhi
Communications on Stochastic Analysis
No abstract provided.
Estimation Of Change Point Via Kalman-Bucy Filter For Linear Systems Driven By Fractional Brownian Motions,
2016
Louisiana State University
Estimation Of Change Point Via Kalman-Bucy Filter For Linear Systems Driven By Fractional Brownian Motions, M N Mishra, B L S Prakasa Rao
Communications on Stochastic Analysis
No abstract provided.
Optimal Density Bounds For Marginals Of Itô Processes,
2016
Louisiana State University
Optimal Density Bounds For Marginals Of Itô Processes, David Baños, Paul Krühner
Communications on Stochastic Analysis
No abstract provided.
Continuity Of Random Fields On Riemannian Manifolds,
2016
Louisiana State University
Continuity Of Random Fields On Riemannian Manifolds, Annika Lang, Jürgen Potthoff, Martin Schlather, Dimitri Schwab
Communications on Stochastic Analysis
No abstract provided.
The Continuity Of The Solution Of The Natural Equation In The One-Dimensional Case,
2016
Louisiana State University
The Continuity Of The Solution Of The Natural Equation In The One-Dimensional Case, Fatima Benziadi, Abdeldjabbar Kandouci
Communications on Stochastic Analysis
No abstract provided.
The Product Of Distributions And White Noise Distribution-Valued Stochastic Differential Equations,
2016
Louisiana State University
The Product Of Distributions And White Noise Distribution-Valued Stochastic Differential Equations, Hui-Hsiung Kuo, Kimiaki Saitô, Yusuke Shibata
Communications on Stochastic Analysis
No abstract provided.
A Dual Fano, And Dual Non-Fano Matroidal Network,
2016
California State University - San Bernardino
A Dual Fano, And Dual Non-Fano Matroidal Network, Stephen Lee Johnson
Electronic Theses, Projects, and Dissertations
Matroidal networks are useful tools in furthering research in network coding. They have been used to show the limitations of linear coding solutions. In this paper we examine the basic information on network coding and matroid theory. We then go over the method of creating matroidal networks. Finally we construct matroidal networks from the dual of the fano matroid and the dual of the non-fano matroid, and breifly discuss some coding solutions.
