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Articles 1171 - 1200 of 1925
Full-Text Articles in Mathematics
Revised Model For Antibiotic Resistance In A Hospital, Ruhang Pei
Revised Model For Antibiotic Resistance In A Hospital, Ruhang Pei
Electronic Theses and Dissertations
In this thesis we modify an existing model for the spread of resistant bacteria in a hospital. The existing model does not account for some of the trends seen in the data found in literature. The new model takes some of these trends into account. For the new model, we examine issues relating to identifiability, sensitivity analysis, parameter estimation, uncertainty analysis, and equilibrium stability.
The Apprentices' Tower Of Hanoi, Cory Bh Ball
The Apprentices' Tower Of Hanoi, Cory Bh Ball
Electronic Theses and Dissertations
The Apprentices' Tower of Hanoi is introduced in this thesis. Several bounds are found in regards to optimal algorithms which solve the puzzle. Graph theoretic properties of the associated state graphs are explored. A brief summary of other Tower of Hanoi variants is also presented.
Gallai-Ramsey And Vertex Proper Connection Numbers, Emily C. Chizmar
Gallai-Ramsey And Vertex Proper Connection Numbers, Emily C. Chizmar
Honors College Theses
Given a complete graph G, we consider two separate scenarios. First, we consider the minimum number N such that every coloring of G using exactly k colors contains either a rainbow triangle or a monochromatic star on t vertices. This number is known for small cases and generalized for larger cases for a fixed k. Second, we introduce the vertex proper connection number of a graph and provide a relationship to the chromatic number of minimally connected subgraphs. Also a notion of total proper connection is introduced and a question is asked about a possible relationship between the total proper …
Solving Ordinary Differential Equations Using Differential Forms And Lie Groups, Richard M. Shumate
Solving Ordinary Differential Equations Using Differential Forms And Lie Groups, Richard M. Shumate
Senior Honors Theses
Differential equations have bearing on practically every scientific field. Though they are prevalent in nature, they can be challenging to solve. Most of the work done in differential equations is dependent on the use of many methods to solve particular types of equations. Sophus Lie proposed a modern method of solving ordinary differential equations in the 19th century along with a coordinate free variation of finding the infinitesimal generator by combining the influential work of Élie Cartan among others in the field of differential geometry. The driving idea behind using symmetries to solve differential equations is that there exists a …
Poincaré Disc: Hear The Whole Mind Sing, Laura Moss, John T. Shrontz
Poincaré Disc: Hear The Whole Mind Sing, Laura Moss, John T. Shrontz
Research Horizons Day Posters
No abstract provided.
Possible Bias In Asset Valuations: An Application Of The Fraud Risk Triangle To Divorce Cases, Jennifer Tomasetti
Possible Bias In Asset Valuations: An Application Of The Fraud Risk Triangle To Divorce Cases, Jennifer Tomasetti
Honors Projects in Accounting
No abstract provided.
Transforming Precalculus Instruction: Evidence-Based Course Design, Wendy M. Smith
Transforming Precalculus Instruction: Evidence-Based Course Design, Wendy M. Smith
Discipline-Based Education Research Group Speaker Series
The UNL Mathematics Department has been focused on transforming precalculus instruction since 2012, with a goal of greater levels of student success. A short-term measure of student success is the passing rate (C or better), which has jumped from an average of 62% (2007-2011) to 80% for the past two falls. A longer-term measure of student success is recruiting and retaining undergraduates to STEM disciplines and careers. In this talk I will share specifics of the reform efforts (the who-what-when-where-why-and-how), and also share preliminary results from the research we have simultaneously been conducting into the reform efforts.
Analysing Systemic Risk Contribution Using A Closed Formula For Conditional Value At Risk Through Copula, Brice Hakwa, Manfred Jäger-Ambrożewicz, Barbara Rüdiger
Analysing Systemic Risk Contribution Using A Closed Formula For Conditional Value At Risk Through Copula, Brice Hakwa, Manfred Jäger-Ambrożewicz, Barbara Rüdiger
Communications on Stochastic Analysis
No abstract provided.
Mathematical Formulation Of An Optimal Execution Problem With Uncertain Market Impact, Kensuke Ishitani, Takashi Kato
Mathematical Formulation Of An Optimal Execution Problem With Uncertain Market Impact, Kensuke Ishitani, Takashi Kato
Communications on Stochastic Analysis
No abstract provided.
On A Nonsymmetric Ornstein-Uhlenbeck Semigroup And Its Generator, Yong Chen
On A Nonsymmetric Ornstein-Uhlenbeck Semigroup And Its Generator, Yong Chen
Communications on Stochastic Analysis
No abstract provided.
Existence Of Lévy's Area And Pathwise Integration, Peter Imkeller, David J Prömel
Existence Of Lévy's Area And Pathwise Integration, Peter Imkeller, David J Prömel
Communications on Stochastic Analysis
No abstract provided.
Branching Particle Systems And Compound Poisson Processes Related To Pólya-Aeppli Distributions, Richard B Paris, Vladimir Vinogradov
Branching Particle Systems And Compound Poisson Processes Related To Pólya-Aeppli Distributions, Richard B Paris, Vladimir Vinogradov
Communications on Stochastic Analysis
No abstract provided.
Hitting Times For Bessel Processes, Gerardo Hernández-Del-Valle, Carlos G Pacheco
Hitting Times For Bessel Processes, Gerardo Hernández-Del-Valle, Carlos G Pacheco
Communications on Stochastic Analysis
No abstract provided.
Comparing The G-Normal Distribution To Its Classical Counterpart, Erhan Bayraktar, Alexander Munk
Comparing The G-Normal Distribution To Its Classical Counterpart, Erhan Bayraktar, Alexander Munk
Communications on Stochastic Analysis
No abstract provided.
Convergence Of Scheme For Decoupled Forward Backward Stochastic Differential Equation, Hani Abidi, Habib Ouerdiane
Convergence Of Scheme For Decoupled Forward Backward Stochastic Differential Equation, Hani Abidi, Habib Ouerdiane
Communications on Stochastic Analysis
No abstract provided.
Transition To Higher Mathematics: Structure And Proof (Second Edition), Bob A. Dumas, John E. Mccarthy
Transition To Higher Mathematics: Structure And Proof (Second Edition), Bob A. Dumas, John E. Mccarthy
Books and Monographs
This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter …
A Unified And Preserved Dirichlet Boundary Treatment For The Cell-Centered Finite Volume Discrete Boltzmann Method, Leitao Chen, Laura A. Schaefer
A Unified And Preserved Dirichlet Boundary Treatment For The Cell-Centered Finite Volume Discrete Boltzmann Method, Leitao Chen, Laura A. Schaefer
Publications
A new boundary treatment is proposed for the finite volume discrete Boltzmann method (FVDBM) that can be used for accurate simulations of curved boundaries and complicated flow conditions. First, a brief review of different boundary treatments for the general Boltzmann simulations is made in order to primarily explain what type of boundary treatment will be developed in this paper for the cell-centered FVDBM. After that, the new boundary treatment along with the cell-centered FVDBM model is developed in detail. Next, the proposed boundary treatment is applied to a series of numerical tests with a detailed discussion of its qualitative and …
K-Theory And Pseudospectra For Topological Insulators [Dataset], Terry A. Loring
K-Theory And Pseudospectra For Topological Insulators [Dataset], Terry A. Loring
Math and Statistics Datasets
We derive formulas and algorithms for Kitaev's invariants in the periodic table for topological insulators and superconductors for finite disordered systems on lattices with boundaries. We find that K-theory arises as an obstruction to perturbing approximately compatible observables into compatible observables. We derive formulas in all symmetry classes up to dimension two, and in one symmetry class in dimension three, that can be computed with sparse matrix algorithms. We present algorithms in two symmetry classes in 2D and one in 3D and provide illustrative studies regarding how these algorithms can detect the scaling properties of phase transitions.
My Finite Field, Matthew Schroeder
My Finite Field, Matthew Schroeder
Journal of Humanistic Mathematics
A love poem written in the language of mathematics.
Prisoner's Dilemma, Raymond N. Greenwell
Prisoner's Dilemma, Raymond N. Greenwell
Journal of Humanistic Mathematics
No abstract provided.
The Symbolic And Mathematical Influence Of Diophantus's Arithmetica, Cyrus Hettle
The Symbolic And Mathematical Influence Of Diophantus's Arithmetica, Cyrus Hettle
Journal of Humanistic Mathematics
Though it was written in Greek in a center of ancient Greek learning, Diophantus's Arithmetica is a curious synthesis of Greek, Egyptian, and Mesopotamian mathematics. It was not only one of the first purely number-theoretic and algebraic texts, but the first to use the blend of rhetorical and symbolic exposition known as syncopated mathematics. The text was influential in the development of Arabic algebra and European number theory and notation, and its development of the theory of indeterminate, or Diophantine, equations inspired modern work in both abstract algebra and computer science. We present, in this article, a selection of problems …
Love Games: A Game-Theory Approach To Compatibility, Kerstin Bever, Julie Rowlett
Love Games: A Game-Theory Approach To Compatibility, Kerstin Bever, Julie Rowlett
Journal of Humanistic Mathematics
In this note, we present a compatibility test with a rigorous mathematical foundation in game theory. The test must be taken separately by both partners, making it difficult for either partner alone to control the outcome. To introduce basic notions of game theory we investigate a scene from the film "A Beautiful Mind" based on John Nash's life and Nobel-prize-winning theorem. We recall this result and reveal the mathematics behind our test. Readers may customize and modify the test for more accurate results or to evaluate interpersonal relationships in other settings, not only romantic. Finally, we apply Dyson's and Press's …
On The Persistence And Attrition Of Women In Mathematics, Katrina Piatek-Jimenez
On The Persistence And Attrition Of Women In Mathematics, Katrina Piatek-Jimenez
Journal of Humanistic Mathematics
The purpose of this study was to investigate what motivates women to choose mathematics as an undergraduate major and to further explore what shapes their future career goals, paying particular attention to their undergraduate experiences and their perceptions of the role of gender in these decisions. A series of semi-structured, individual interviews were conducted with twelve undergraduate women mathematics majors who were attending either a large public university or a small liberal arts college. This study found that strong mathematical identities and enjoyment of mathematics heavily influenced their decisions to major in mathematics. At the career selection stage, these women …
Scrambled Squares, Jeremiah Farrell, Karen Farrell
Scrambled Squares, Jeremiah Farrell, Karen Farrell
Scholarship and Professional Work - LAS
Jeremiah's puzzle "Scrambled Squares", which was exchanged at the 2015 Ottawa International Puzzle Party. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exchange them. This puzzle is also manufactured by Kate Jones as "Scrambled Squares".
Approximation Of Nested Fixpoints, Alexander Kurz
Approximation Of Nested Fixpoints, Alexander Kurz
Engineering Faculty Articles and Research
The question addressed in this paper is how to correctly approximate infinite data given by systems of simultaneous corecursive definitions. We devise a categorical framework for reasoning about regular datatypes, that is, datatypes closed under products, coproducts and fixpoints. We argue that the right methodology is on one hand coalgebraic (to deal with possible nontermination and infinite data) and on the other hand 2-categorical (to deal with parameters in a disciplined manner). We prove a coalgebraic version of Bekic lemma that allows us to reduce simultaneous fixpoints to a single fix point. Thus a possibly infinite object of interest is …
Presenting Distributive Laws, Marcello M. Bonsangue, Helle H. Hansen, Alexander Kurz, Jurriaan Rot
Presenting Distributive Laws, Marcello M. Bonsangue, Helle H. Hansen, Alexander Kurz, Jurriaan Rot
Engineering Faculty Articles and Research
Distributive laws of a monad T over a functor F are categorical tools for specifying algebra-coalgebra interaction. They proved to be important for solving systems of corecursive equations, for the specification of well-behaved structural operational semantics and, more recently, also for enhancements of the bisimulation proof method. If T is a free monad, then such distributive laws correspond to simple natural transformations. However, when T is not free it can be rather difficult to prove the defining axioms of a distributive law. In this paper we describe how to obtain a distributive law for a monad with an equational presentation …
Teacher Influence On Elementary School Students’ Participation In Science, Technology, Engineering, And Mathematics, Courtney Hartman
Teacher Influence On Elementary School Students’ Participation In Science, Technology, Engineering, And Mathematics, Courtney Hartman
Honors College Theses
The purpose of this study is to explore the influence of elementary school teachers on encouraging students’ interest and participation in Science, Technology, Engineering, and Mathematics. The researcher sought to understand what methods teachers use in their classrooms to encourage students to participate in STEM subjects and programs. This mixed methods study consisted of a questionnaire to collect quantitative data, as well as an interview of selected teachers who participated in the questionnaire to collect qualitative data. The data was analyzed to determine the overall perceptions of teachers regarding the importance of encouraging students to participate in STEM. The qualitative …
Clique Topology Reveals Intrinsic Geometric Structure In Neural Correlations, Chad Giusti, Eva Pastalkova, Carina Curto, Vladimir Itskov
Clique Topology Reveals Intrinsic Geometric Structure In Neural Correlations, Chad Giusti, Eva Pastalkova, Carina Curto, Vladimir Itskov
Department of Mathematics: Faculty Publications
Detecting meaningful structure in neural activity and connectivity data is challenging in the presence of hidden nonlinearities, where traditional eigenvalue-based methods may be misleading. We introduce a novel approach to matrix analysis, called clique topology, that extracts features of the data invariant under nonlinear monotone transformations. These features can be used to detect both random and geometric structure, and depend only on the relative ordering of matrix entries. We then analyzed the activity of pyramidal neurons in rat hippocampus, recorded while the animal was exploring a 2D environment, and confirmed that our method is able to detect geometric organization using …
Weak Parallelogram Laws On Banach Spaces And Applications To Prediction, R. Cheng, William T. Ross
Weak Parallelogram Laws On Banach Spaces And Applications To Prediction, R. Cheng, William T. Ross
Department of Math & Statistics Faculty Publications
This paper concerns a family of weak parallelogram laws for Banach spaces. It is shown that the familiar Lebesgue spaces satisfy a range of these inequalities. Connections are made to basic geometric ideas, such as smoothness, convexity, and Pythagorean-type theorems. The results are applied to the linear prediction of random processes spanning a Banach space. In particular, the weak parallelogram laws furnish coefficient growth estimates, Baxter-type inequalities, and criteria for regularity.
A Survey On Reverse Carleson Measures, Emmanuel Fricain, Andreas Hartmann, William T. Ross
A Survey On Reverse Carleson Measures, Emmanuel Fricain, Andreas Hartmann, William T. Ross
Department of Math & Statistics Faculty Publications
This is a survey on reverse Carleson measures for various Hilbert spaces of analytic functions. These spaces include the Hardy, Bergman, certain harmonically weighted Dirichlet, Paley-Wiener, Fock, model (backward shift invariant), and de Branges-Rovnyak spaces. The reverse Carleson measure for backward shift invariant subspaces in the non-Hilbert situation is new.