Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Analysis (35)
- Geometry and Topology (15)
- Applied Mathematics (13)
- Algebra (11)
- Logic and Foundations (11)
-
- Discrete Mathematics and Combinatorics (9)
- Education (9)
- Statistics and Probability (7)
- Arts and Humanities (6)
- Computer Sciences (6)
- Number Theory (6)
- Other Applied Mathematics (6)
- Physics (6)
- Set Theory (6)
- Other Physical Sciences and Mathematics (5)
- Science and Mathematics Education (5)
- Social and Behavioral Sciences (5)
- Dynamical Systems (4)
- Engineering (4)
- Harmonic Analysis and Representation (4)
- Categorical Data Analysis (3)
- Control Theory (3)
- Higher Education (3)
- Music (3)
- Other Physics (3)
- Partial Differential Equations (3)
- Applied Statistics (2)
- Institution
-
- Louisiana State University (30)
- Selected Works (19)
- University of New Mexico (10)
- Chapman University (7)
- Louisiana Tech University (6)
-
- California State University, San Bernardino (4)
- University of South Florida (4)
- Bard College (3)
- East Tennessee State University (3)
- Illinois State University (3)
- Claremont Colleges (2)
- Portland State University (2)
- Smith College (2)
- West Virginia University (2)
- Air Force Institute of Technology (1)
- Bowdoin College (1)
- Bowling Green State University (1)
- Butler University (1)
- California Polytechnic State University, San Luis Obispo (1)
- City University of New York (CUNY) (1)
- Embry-Riddle Aeronautical University (1)
- Georgia Southern University (1)
- Illinois Math and Science Academy (1)
- Indian Statistical Institute (1)
- Loyola University Chicago (1)
- Missouri State University (1)
- Montclair State University (1)
- Otterbein University (1)
- Pittsburg State University (1)
- Purdue University (1)
- Keyword
-
- Puzzle (16)
- Gathering 4 Gardner (13)
- G4G12 (8)
- Mathematics (6)
- G4G13 (5)
-
- Graph theory (3)
- International Puzzle Party (3)
- Paul Swinford (3)
- Quantitative literacy (3)
- Bifurcation (2)
- Calculus (2)
- Curvature (2)
- Finite element method (2)
- Kate Jones (2)
- Martin Gardner (2)
- Neutrosophic Logic (2)
- Neutrosophic set (2)
- Statistics (2)
- AP Calculus (1)
- Acquired immune deficiency syndrome (1)
- Adjoint functors (1)
- Agent based (1)
- Algebraic structures (1)
- Analysis (1)
- Applied Math (1)
- Applied Statistics (1)
- Arbitrage (1)
- Aristotelian Logic (1)
- Array (1)
- Assessment (1)
- Publication
-
- Communications on Stochastic Analysis (29)
- Jeremiah Farrell (18)
- Branch Mathematics and Statistics Faculty and Staff Publications (10)
- Mathematics, Physics, and Computer Science Faculty Articles and Research (7)
- Mathematics Senior Capstone Papers (6)
-
- Electronic Theses and Dissertations (5)
- Electronic Theses, Projects, and Dissertations (4)
- Numeracy (4)
- Annual Symposium on Biomathematics and Ecology Education and Research (3)
- Honors Projects (3)
- Senior Projects Spring 2019 (3)
- Graduate Theses, Dissertations, and Problem Reports (2)
- REU Final Reports (2)
- Statistical and Data Sciences: Faculty Publications (2)
- Calculus (1)
- Computer Science: Faculty Publications and Other Works (1)
- Department of Mathematics Facuty Scholarship and Creative Works (1)
- Department of Mathematics: Dissertations, Theses, and Student Research (1)
- Exemplary Student Work (1)
- Graduate Student Theses, Dissertations, & Professional Papers (1)
- HMC Senior Theses (1)
- Honors College (1)
- Journal Articles (1)
- Journal of Humanistic Mathematics (1)
- LSU Doctoral Dissertations (1)
- MSU Graduate Theses (1)
- Master's Theses (1)
- Masters Theses & Specialist Projects (1)
- Mathematics Faculty Research Publications (1)
- Open Educational Resources - Math (1)
Articles 1 - 30 of 127
Full-Text Articles in Other Mathematics
Constructing Invariant Subspaces As Kernels Of Commuting Matrices, Carl C. Cowen, William Johnston, Rebecca G. Wahl
Constructing Invariant Subspaces As Kernels Of Commuting Matrices, Carl C. Cowen, William Johnston, Rebecca G. Wahl
Scholarship and Professional Work - LAS
Given an n n matrix A over C and an invariant subspace N, a straightforward formula constructs an n n matrix N that commutes with A and has N = kerN. For Q a matrix putting A into Jordan canonical form, J = Q1AQ, we get N = Q1M where M= ker(M) is an invariant subspace for J with M commuting with J. In the formula J = PZT1Pt, the matrices Z and T are m m and P is an n m row selection matrix. If N is a marked subspace, m = n and Z is an n …
Complex Powers Of I Satisfying The Continued Fraction Functional Equation Over The Gaussian Integers, Matthew Niemiro '20
Complex Powers Of I Satisfying The Continued Fraction Functional Equation Over The Gaussian Integers, Matthew Niemiro '20
Exemplary Student Work
We investigate and then state the conditions under which iz satisfies the simple continued fraction functional equation for real and then complex z over the Gaussian integers.
Hybrid Recommender Systems Via Spectral Learning And A Random Forest, Alyssa Williams
Hybrid Recommender Systems Via Spectral Learning And A Random Forest, Alyssa Williams
Electronic Theses and Dissertations
We demonstrate spectral learning can be combined with a random forest classifier to produce a hybrid recommender system capable of incorporating meta information. Spectral learning is supervised learning in which data is in the form of one or more networks. Responses are predicted from features obtained from the eigenvector decomposition of matrix representations of the networks. Spectral learning is based on the highest weight eigenvectors of natural Markov chain representations. A random forest is an ensemble technique for supervised learning whose internal predictive model can be interpreted as a nearest neighbor network. A hybrid recommender can be constructed by first …
An Explicit Finite Volume Numerical Scheme For 2d Elastic Wave Propagation, Mihhail Berezovski, Arkadi Berezovski
An Explicit Finite Volume Numerical Scheme For 2d Elastic Wave Propagation, Mihhail Berezovski, Arkadi Berezovski
Publications
The construction of the two-dimensional finite volume numerical scheme based on the representation of computational cells as thermodynamic systems is presented explicitly. The main advantage of the scheme is an accurate implementation of conditions at interfaces and boundaries. It is demonstrated that boundary conditions influence the wave motion even in the simple case of a homogeneous waveguide.
Reduced Bias For Respondent Driven Sampling: Accounting For Non-Uniform Edge Sampling Probabilities In People Who Inject Drugs In Mauritius, Miles Q. Ott, Krista J. Gile, Matthew T. Harrison, Lisa G. Johnston, Joseph W. Hogan
Reduced Bias For Respondent Driven Sampling: Accounting For Non-Uniform Edge Sampling Probabilities In People Who Inject Drugs In Mauritius, Miles Q. Ott, Krista J. Gile, Matthew T. Harrison, Lisa G. Johnston, Joseph W. Hogan
Statistical and Data Sciences: Faculty Publications
People who inject drugs are an important population to study in order to reduce transmission of blood-borne illnesses including HIV and Hepatitis. In this paper we estimate the HIV and Hepatitis C prevalence among people who inject drugs, as well as the proportion of people who inject drugs who are female in Mauritius. Respondent driven sampling (RDS), a widely adopted link-tracing sampling design used to collect samples from hard-to-reach human populations, was used to collect this sample. The random walk approximation underlying many common RDS estimators assumes that each social relation (edge) in the underlying social network has an equal …
The Fock Space As A De Branges–Rovnyak Space, Daniel Alpay, Fabrizio Colombo, Irene Sabadini
The Fock Space As A De Branges–Rovnyak Space, Daniel Alpay, Fabrizio Colombo, Irene Sabadini
Mathematics, Physics, and Computer Science Faculty Articles and Research
We show that de Branges–Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy–Sobolev space and the Dirichlet space. We present a general framework in which all these spaces can be obtained by specializing a sequence that appears in the construction. We show how to exploit this approach to solve interpolation problems in the Fock space.
Across The Atlantic: Service-Learning In Spain And Morocco, Lauren Ward
Across The Atlantic: Service-Learning In Spain And Morocco, Lauren Ward
Purdue Journal of Service-Learning and International Engagement
Purdue provides many activities in service-learning each year, and though they are varied experiences, many of the same lessons can be learned. I had the opportunity to participate in two service-learning study abroad trips while at Purdue- the first to Spain and Morocco, and the second to Haiti. While on these trips, I was involved in projects that seemed very different. In Morocco, my group taught high school students about the history of mathematics during the Islamic Golden Age and how mathematics is utilized in Purdue research. In Haiti, I worked with my teammates to teach water sanitation and storage …
Fluids In Music: The Mathematics Of Pan’S Flutes, Bogdan Nita, Sajan Ramanathan
Fluids In Music: The Mathematics Of Pan’S Flutes, Bogdan Nita, Sajan Ramanathan
Department of Mathematics Facuty Scholarship and Creative Works
We discuss the mathematics behind the Pan’s flute. We analyze how the sound is created, the relationship between the notes that the pipes produce, their frequencies and the length of the pipes. We find an equation which models the curve that appears at the bottom of any Pan’s flute due to the different pipe lengths.
Modeling Control Methods To Manage The Sylvatic Plague In Black-Tailed Prairie Dog Towns, David C. Elzinga, Shelby R. Stowe, Leland Russell
Modeling Control Methods To Manage The Sylvatic Plague In Black-Tailed Prairie Dog Towns, David C. Elzinga, Shelby R. Stowe, Leland Russell
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Using Agent-Based Modeling To Investigate The Existence Of Herd Immunity Thresholds For Infectious Diseases On Randomly Generated Contact Networks, Hannah Callender Highlander, Owen Price
Using Agent-Based Modeling To Investigate The Existence Of Herd Immunity Thresholds For Infectious Diseases On Randomly Generated Contact Networks, Hannah Callender Highlander, Owen Price
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Model For Cross-Institutional Collaboration: Addressing Diminishing Resources In Academia, Claudia Kolakowski
A Model For Cross-Institutional Collaboration: Addressing Diminishing Resources In Academia, Claudia Kolakowski
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Exercises Integrating High School Mathematics With Robot Motion Planning, Ronald I. Greenberg, George K. Thiruvathukal
Exercises Integrating High School Mathematics With Robot Motion Planning, Ronald I. Greenberg, George K. Thiruvathukal
Computer Science: Faculty Publications and Other Works
This paper presents progress in developing exercises for high school students incorporating level-appropriate mathematics into robotics activities. We assume mathematical foundations ranging from algebra to precalculus, whereas most prior work on integrating mathematics into robotics uses only very elementary mathematical reasoning or, at the other extreme, is comprised of technical papers or books using calculus and other advanced mathematics. The exercises suggested are relevant to any differerential-drive robot, which is an appropriate model for many different varieties of educational robots. They guide students towards comparing a variety of natural navigational strategies making use of typical movement primitives. The exercises align …
Controllability And Observability Of Linear Nabla Discrete Fractional Systems, Tilekbek Zhoroev
Controllability And Observability Of Linear Nabla Discrete Fractional Systems, Tilekbek Zhoroev
Masters Theses & Specialist Projects
The main purpose of this thesis to examine the controllability and observability of the linear discrete fractional systems. First we introduce the problem and continue with the review of some basic definitions and concepts of fractional calculus which are widely used to develop the theory of this subject. In Chapter 3, we give the unique solution of the fractional difference equation involving the Riemann-Liouville operator of real order between zero and one. Additionally we study the sequential fractional difference equations and describe the way to obtain the state-space repre- sentation of the sequential fractional difference equations. In Chapter 4, we …
Preface, Hui-Hsiung Kuo, George Yin
Preface, Hui-Hsiung Kuo, George Yin
Communications on Stochastic Analysis
No abstract provided.
Non-Nested Monte Carlo Dual Bounds For Multi-Exercisable Options, Xiang Cheng, Zhuo Jin
Non-Nested Monte Carlo Dual Bounds For Multi-Exercisable Options, Xiang Cheng, Zhuo Jin
Communications on Stochastic Analysis
No abstract provided.
Hybrid Models And Switching Control With Constraints, Jose L. Menaldi, Maurice Robin
Hybrid Models And Switching Control With Constraints, Jose L. Menaldi, Maurice Robin
Communications on Stochastic Analysis
No abstract provided.
Subdifferentials Of Value Functions In Nonconvex Dynamic Programming For Nonstationary Stochastic Processes, Boris S. Mordukhovich, Nobusumi Sagara
Subdifferentials Of Value Functions In Nonconvex Dynamic Programming For Nonstationary Stochastic Processes, Boris S. Mordukhovich, Nobusumi Sagara
Communications on Stochastic Analysis
No abstract provided.
Stochastic Process And Its Role In The Development Of The Financial Market: Celebrating Professor Chow's Long And Successful Career, Xisuo L. Liu
Communications on Stochastic Analysis
No abstract provided.
Euler-Maruyama Method For Regime Switching Stochastic Differential Equations With Hölder Coefficients, Dung T. Nguyen, Son L. Nguyen
Euler-Maruyama Method For Regime Switching Stochastic Differential Equations With Hölder Coefficients, Dung T. Nguyen, Son L. Nguyen
Communications on Stochastic Analysis
No abstract provided.
Stochastic Partial Differential Equation Sis Epidemic Models: Modeling And Analysis, Nhu N. Nguyen, George Yin
Stochastic Partial Differential Equation Sis Epidemic Models: Modeling And Analysis, Nhu N. Nguyen, George Yin
Communications on Stochastic Analysis
No abstract provided.
Anticipating Exponential Processes And Stochastic Differential Equations, Chii Ruey Hwang, Hui-Hsiung Kuo, Kimiaki Saitô
Anticipating Exponential Processes And Stochastic Differential Equations, Chii Ruey Hwang, Hui-Hsiung Kuo, Kimiaki Saitô
Communications on Stochastic Analysis
No abstract provided.
Totalitarian Random Tug-Of-War Games In Graphs, Marcos Antón, Fernando Charro, Peiyong Wang
Totalitarian Random Tug-Of-War Games In Graphs, Marcos Antón, Fernando Charro, Peiyong Wang
Communications on Stochastic Analysis
No abstract provided.
Action Functionals For Stochastic Differential Equations With Lévy Noise, Shenglan Yuan, Jinqiao Duan
Action Functionals For Stochastic Differential Equations With Lévy Noise, Shenglan Yuan, Jinqiao Duan
Communications on Stochastic Analysis
No abstract provided.
Modeling The Defects That Exists In Crystalline Structures, Kiet A. Tran
Modeling The Defects That Exists In Crystalline Structures, Kiet A. Tran
REU Final Reports
This paper focuses on modeling defects in crystalline materials in one-dimension using field dislocation mechanics (FDM). Predicting plastic deformation in crystalline materials on a microscopic scale allows for the understanding of the mechanical behavior of micron-sized components. Following Das et al (2013), a one dimensional reduction of the FDM model is implemented using Discontinuous Galerkin method and the results are compared with those obtained from the finite difference implementation. Test cases with different initial conditions on the position and distribution of screw dislocations are considered.
General Nonlinear-Material Elasticity In Classical One-Dimensional Solid Mechanics, Ronald Joseph Giardina Jr
General Nonlinear-Material Elasticity In Classical One-Dimensional Solid Mechanics, Ronald Joseph Giardina Jr
University of New Orleans Theses and Dissertations
We will create a class of generalized ellipses and explore their ability to define a distance on a space and generate continuous, periodic functions. Connections between these continuous, periodic functions and the generalizations of trigonometric functions known in the literature shall be established along with connections between these generalized ellipses and some spectrahedral projections onto the plane, more specifically the well-known multifocal ellipses. The superellipse, or Lam\'{e} curve, will be a special case of the generalized ellipse. Applications of these generalized ellipses shall be explored with regards to some one-dimensional systems of classical mechanics. We will adopt the Ramberg-Osgood relation …
Discretization Of The Hellinger-Reissner Variational Form Of Linear Elasticity Equations, Kevin A. Sweet
Discretization Of The Hellinger-Reissner Variational Form Of Linear Elasticity Equations, Kevin A. Sweet
REU Final Reports
This paper addresses the derivation of the Hellinger-Reissner Variational Form from the strong form of a system of linear elasticity equations that are used in relation to geological phenomena. The problem is discretized using finite element discretization. This allowed the creation of a program that was used to run tests on various domains. The resultant displacement vectors for tested domains are shown at the end of the paper.
Understanding Volume Transport In The Jordan River: An Application Of The Navier-Stokes Equations, Gwyneth E. Roberts
Understanding Volume Transport In The Jordan River: An Application Of The Navier-Stokes Equations, Gwyneth E. Roberts
Honors College
This study aims to characterize the circulation patterns in short and narrow estuarine systems on various temporal scales to identify the controls of material transport. In order to achieve this goal, a combination of in situ collected data and analytical modeling was used. The model is based on the horizontal Reynolds Averaged Navier-Stokes equations in the shallow water limit with scaling parameters defined from the characteristics of the estuary. The in situ measurements were used to inform a case study, seeking to understand water level variations and tidal current velocity patterns in the Jordan River and to improve understanding of …
Roman Domination Cover Rubbling, Nicholas Carney
Roman Domination Cover Rubbling, Nicholas Carney
Electronic Theses and Dissertations
In this thesis, we introduce Roman domination cover rubbling as an extension of domination cover rubbling. We define a parameter on a graph $G$ called the \textit{Roman domination cover rubbling number}, denoted $\rho_{R}(G)$, as the smallest number of pebbles, so that from any initial configuration of those pebbles on $G$, it is possible to obtain a configuration which is Roman dominating after some sequence of pebbling and rubbling moves. We begin by characterizing graphs $G$ having small $\rho_{R}(G)$ value. Among other things, we also obtain the Roman domination cover rubbling number for paths and give an upper bound for the …
The Frenet Frame And Space Curves, Catherine Elaina Eudora Ross
The Frenet Frame And Space Curves, Catherine Elaina Eudora Ross
MSU Graduate Theses
Essential to the study of space curves in Differential Geometry is the Frenet frame. In this thesis we generate the Frenet equations for the second, third, and fourth dimensions using the Gram-Schmidt process, which allows us to present the form of the Frenet equations for n-dimensions. We highlight several key properties that arise from the Frenet equations, expound on the class of curves with constant curvature ratios, as well as characterize spherical curves up to the fourth dimension. Methods for generalizing properties and characteristics of curves in varying dimensions should be handled with care, since the structure of curves often …
A Study Of Big Field Multivariate Cryptography., Ryann Cartor
A Study Of Big Field Multivariate Cryptography., Ryann Cartor
Electronic Theses and Dissertations
As the world grapples with the possibility of widespread quantum computing, the cryptosystems of the day need to be up to date. Multivariate Public Key Cryptography is a leading option for security in a post quantum society. One goal of this work is to classify the security of multivariate schemes, especially C*variants. We begin by introducing Multivariate Public Key Cryptography and will then discuss different multivariate schemes and the main types of attacks that have been proven effective against multivariate schemes. Once we have developed an appropriate background, we analyze security of different schemes against particular attacks. Specifically, we …