Mathematics Commons^™

The Development Research On Chinese Third-Party Cold Chain Logistics, Tianqing Wang

World Maritime University Dissertations

No abstract provided.

Research On Development Of Yangshan Bonded Logistics Park, Qing Fan

World Maritime University Dissertations

No abstract provided.

Research On Bohai Bay Coal Ports In Coal Transportation From North To South China, Huan Xia

World Maritime University Dissertations

No abstract provided.

Research On Construction Of Agri-Products Logistics System In Wenzhou, Yiqi Ye

World Maritime University Dissertations

No abstract provided.

Multiple Positive Solutions In The Sense Of Distributions Of Singular Bvps On Time Scales And An Application To Emden-Fowler Equations, Ravi P. Agarwal, Victoria Otero-Espinar, Kanishka Perera, Dolores R. Vivero

Mathematics and System Engineering Faculty Publications

This paper is devoted to using perturbation and variational techniques to derive some sufficient conditions for the existence of multiple positive solutions in the sense of distributions to a singular second-order dynamic equation with homogeneous Dirichlet boundary conditions, which includes those problems related to the negative exponent Emden-Fowler equation.

The Urysohn Space Embeds In Banach Spaces In Just One Way, M. Randall Holmes

Mathematics Faculty Publications and Presentations

In a Master's thesis in 1985 and a subsequent paper published in 1992, the author discovered that the universal separable metric space (up to isometry) discovered by Urysohn in 1925 has a uniquely determined linear closure (up to linear isometry) when isometrically embedded in a Banach space so as to include the zero of the Banach space. The proof of this result is given in this note and the current status of some related questions is discussed.

Ramanujan–Slater Type Identities Related To The Moduli 18 And 24, James Mclaughlin, Andrew Sills

Mathematical Sciences: Faculty Publications

We present several new families of Rogers–Ramanujan type identities related to the moduli 18 and 24. A few of the identities were found by either Ramanujan, Slater, or Dyson, but most are believed to be new. For one of these families, we discuss possible connections with Lie algebras. We also present two families of related false theta function identities.

Algorithmic Dimensionality Reduction For Molecular Structure Analysis, Evangelos A. Coutsias, W. Michael Brown, Shawn Martin, Sara N. Pollock, Jean-Paul Watson

Branch Mathematics and Statistics Faculty and Staff Publications

Dimensionality reduction approaches have been used to exploit the redundancy in a Cartesian coordinate representation of molecular motion by producing low-dimensional representations of molecular motion. This has been used to help visualize complex energy landscapes, to extend the time scales of simulation, and to improve the efficiency of optimization. Until recently, linear approaches for dimensionality reduction have been employed. Here, we investigate the efficacy of several automated algorithms for nonlinear dimensionality reduction for representation of trans, trans-1,2,4-trifluorocyclo-octane conformation\u2014a molecule whose structure can be described on a 2-manifold in a Cartesian coordinate phase space. We describe an efficient approach for a …

Double Domination Of Complementary Prisms., Lamont D. Vaughan

Electronic Theses and Dissertations

The complementary prism of a graph G is obtained from a copy of G and its complement G̅ by adding a perfect matching between the corresponding vertices of G and G̅. For any graph G, a set D ⊆ V (G) is a double dominating set (DDS) if that set dominates every vertex of G twice. The double domination number, denoted γ_×2(G), is the cardinality of a minimum double dominating set of G. We have proven results on graphs of small order, specific families and lower bounds on γ_{×2 …}

Finding Edge And Vertex Induced Cycles Within Circulants., Trina Marcella Wooten

Electronic Theses and Dissertations

Let H be a graph. G is a subgraph of H if V (G) ⊆ V (H) and E(G) ⊆ E(H). The subgraphs of H can be used to determine whether H is planar, a line graph, and to give information about the chromatic number. In a recent work by Beeler and Jamison [3], it was shown that it is difficult to obtain an automorphic decomposition of a triangle-free graph. As many of their examples involve circulant graphs, it is of particular interest to find triangle-free subgraphs within circulants. As …

Students' Reasoning About The Concept Of Limit In The Context Of Reinventing The Formal Definition, Craig Alan Swinyard

Dissertations and Theses

Many researchers (Artigue, 2000; Bezuidenhout, 2001; Cornu, 1991; Dorier, 1995) have noted the vital role limit plays as a foundational concept in analysis. The vast majority of topics encountered in calculus and undergraduate analysis are built upon understanding the concept of limit and being able to work flexibly with its formal definition (Bezuidenhout, 2001). The purpose of this study was to: (1) Develop insight into students' reasoning about limit in relation to their engagement in instruction designed to support their reinventing the formal definition of limit, and; (2) Inform the design of principled instruction that might support students' attempts to …

An Efficient And Robust Method For Simulating Two-Phase Gel Dynamics, Grady Wright, Robert D. Guy, Aaron L. Fogelson

Mathematics Faculty Publications and Presentations

We develop a computational method for simulating models of gel dynamics where the gel is described by two phases: a networked polymer and a fluid solvent. The models consist of transport equations for the two phases, two coupled momentum equations, and a volume-averaged incompressibility constraint, which we discretize with finite differences/volumes. The momentum and incompressibility equations present the greatest numerical challenges since (i) they involve partial derivatives with variable coefficients that can vary quite significantly throughout the domain (when the phases separate), and (ii) their approximate solution requires the “inversion” of a large linear system of equations. For solving this …

Random Dynamics And Memory: Structure Within Chaos? (Maa Invited Address / David Blackwell Lecture), Salah-Eldin A. Mohammed

Miscellaneous (presentations, translations, interviews, etc)

No abstract provided.

Prep Workshop Report: Expository Writing, Darren B. Glass

Math Faculty Publications

A significant part of the job of a mathematician involves writing - between research papers, expository writing, grant applications, letters of recommendation, and materials for our teaching, I know that I spend much of my days writing something or other. Yet most of us are never really trained to write mathematics, and even in our jobs we rarely find time to talk about the actual writing of the mathematics which has taken place. With this in mind, I chose to attend a PREP workshop held by the Mathematical Association of America at their headquarters in Washington, DC dedicated to the …

Imagine Math Day: Encouraging Secondary School Students And Teachers To Engage In Authentic Mathematical Discovery, Darryl H. Yong, Michael E. Orrison Jr.

All HMC Faculty Publications and Research

Research mathematicians and school children experience mathematics in profoundly different ways. Ask a group of mathematicians what it means to “do mathematics” and you are likely to get a myriad of responses: mathematics involves analyzing and organizing patterns and relationships, reasoning and drawing conclusions about the world, or creating languages and tools to describe and solve important problems. Students of mathematics often report “doing mathematics” as performing calculations or following rules. It’s natural that they see mathematics as monolithic rather than an evolving, growing, socially constructed body of knowledge, because most mathematical training in primary and secondary schools consists of …

On Distribution Of Well-Rounded Sublattices Of Z², Lenny Fukshansky

CMC Faculty Publications and Research

A lattice is called well-rounded if its minimal vectors span the corresponding Euclidean space. In this paper we completely describe well-rounded full-rank sublattices of Z², as well as their determinant and minima sets. We show that the determinant set has positive density, deriving an explicit lower bound for it, while the minima set has density 0. We also produce formulas for the number of such lattices with a fixed determinant and with a fixed minimum. These formulas are related to the number of divisors of an integer in short intervals and to the number of its representations as a sum …

High Order Weighted Compact Boundary Condition, Zhengjie Wang

Mathematics Theses - Archive

In multi-dimension flows, we expect to have problems at the boundaries when a shock hits or reflects at the boundary wall the remedy to this would be to develop weighted boundary conditions similar to the Weighted Compact Scheme for the interior nodes, by choosing candidate stencils around the boundary nodes and assigning weights to each of these stencils with the ENO reconstruction. This would avoid spurious oscillations when shocks are encountered at the boundaries. This thesis investigates higher order weighted compact boundary conditions for Weighted Compact Scheme (WCS). WCS is a combination of Essentially Non Oscillatory Scheme and Weighted Compact …

Dead Cores Of Singular Dirichlet Boundary Value Problems With Φ-Laplacian, Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk

Mathematics and System Engineering Faculty Publications

The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (ϕ(u′))′ = λf(t, u, u′), u(0) = u(T) = A. Here λ is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.

Backward Stochastic Differential Equations Associated With Lévy Processes And Partial Integro-Differential Equations, Mohamed El Otmani

Communications on Stochastic Analysis

No abstract provided.

A Poisson-Like Model Of Sub-Clinical Signs From The Examination Of Healthy Aging Subjects, Stephen Merrill, Barbara Myklebust, Joel B. Myklebust, Norman Reynolds, Edmund Duthie

Mathematics, Statistics and Computer Science Faculty Research and Publications

Background and aims: Our studies of the standard neurological examination on 66 middle-aged (50–64 yrs) and elderly subjects (65–84 yrs) demonstrate that healthy elders have neurological deficits (or “signs”) that are not associated with specific known neurological disease. The purpose of the current study is to describe this loss of neurological function in healthy aging subjects as seen through accumulated subclinical neurological signs present.

Methods: Logistic regression is applied to the data on each of six signs. Parameters determined are used to describe the distribution of first occurrence times for each sign. The results are then used to construct a …

Dynamical Behavior And Influence Of Stochastic Noise On Certain Generalized Boolean Networks, Gary L. Beck, Mihaela Teodora Matache

Mathematics Faculty Publications

This study considers a simple Boolean network with N nodes, each node’s state at time t being determined by a certain number of parent nodes. The network is analyzed when the connectivity k is fixed or variable. Making use of a Boolean rule that is a generalization of Rule 22 of elementary cellular automata, a generalized formula for providing the probability of finding a node in state 1 at a time t is determined. We show typical behaviors of the iterations, and we study the dynamics of the network through Lyapunov exponents, bifurcation diagrams, and fixed point analysis. We conclude …

Conflations Of Probability Distributions, Theodore P. Hill

Research Scholars in Residence

The conflation of a finite number of probability distributions P₁,..., P_n is a consolidation of those distributions into a single probability distribution Q=Q(P₁,..., P_n), where intuitively Q is the conditional distribution of independent random variables X₁,..., X_n with distributions P₁,..., P_n, respectively, given that X₁= ... =X_n. Thus, in large classes of distributions the conflation is the distribution determined by the normalized product of the probability density or probability mass functions. Q is shown to be the …

Generic Fock Quantum Markov Semigroups With Instantaneous States, A Ben Ghorbal, F Fagnola, S Hachicha, H Ouerdiane

Communications on Stochastic Analysis

No abstract provided.

Properties Of Certain Lévy And Geometric Lévy Processes, Vladimir Vinogradov

Communications on Stochastic Analysis

No abstract provided.

Absolute Continuity Of Laws For Semilinear Stochastic Equations With Additive Noise, Benedetta Ferrario

Communications on Stochastic Analysis

No abstract provided.

Singular Perturbation And Stationary Solutions Of Parabolic Equations In Gauss-Sobolev Spaces, Pao-Liu Chow

Communications on Stochastic Analysis

No abstract provided.

Zeon Algebra, Fock Space, And Markov Chains, Philip Feinsilver

Communications on Stochastic Analysis

No abstract provided.

Multilinear Function Series In Conditionally Free Probability With Amalgamation, Mihai Popa

Communications on Stochastic Analysis

No abstract provided.

Solutions Of Backward Stochastic Differential Equations On Markov Chains, Samuel N Cohen, Robert J Elliott

Communications on Stochastic Analysis

No abstract provided.

The Stochastic Heat Equation Driven By A Gaussian Noise: Germ Markov Property, Raluca Balan, Doyoon Kim

Communications on Stochastic Analysis

No abstract provided.