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On Nonnegatively Curved Hypersurfaces In Hyperbolic Space, Vincent Bonini, Shiguang Ma, Jie Qing 2018 California Polytechnic State University - San Luis Obispo

On Nonnegatively Curved Hypersurfaces In Hyperbolic Space, Vincent Bonini, Shiguang Ma, Jie Qing

Mathematics

In this paper we prove a conjecture of Alexander and Currier that states, except for covering maps of equidistant surfaces in hyperbolic 3-space, a complete, nonnegatively curved immersed hypersurface in hyperbolic space is necessarily properly embedded.


Larval Food Limitation In A Speyeria Butterfly (Nymphalidae): How Many Butterflies Can Be Supported?, Ryan I. Hill, Cassidi E. Rush, John Mayberry 2018 University of the Pacific

Larval Food Limitation In A Speyeria Butterfly (Nymphalidae): How Many Butterflies Can Be Supported?, Ryan I. Hill, Cassidi E. Rush, John Mayberry

College of the Pacific Faculty Articles

For herbivorous insects the importance of larval food plants is obvious, yet the role of host abundance and density in conservation are relatively understudied. Populations of Speyeria butterflies across North America have declined and Speyeria adiaste is an imperiled species endemic to the southern California Coast Ranges. In this paper, we study the link between the food plant Viola purpurea quercetorum and abundance of its herbivore Speyeria adiaste clemencei to better understand the butterfly’s decline and aid in restoration of this and other Speyeria species. To assess the degree to which the larval food plant limits adult abundance of S. …


Optimal Control Methods For Chagas Disease, Francis Mastrome 2018 University of Texas at Arlington

Optimal Control Methods For Chagas Disease, Francis Mastrome

Mathematics Theses - Archive

Chagas disease is the world's most neglected tropical disease. Having a lack of cure makes the primary focus on the disease preventing it and controlling it. This study takes into account three different control measures: bed nets, low-volume insecticide spraying, and improving housing conditions, analyzes their cost effectiveness compared to each other, and determines which combination of the three control measures prevents the most T. cruzi infections in a rural Latin American village over a decade. It was shown that there is a a hierarchical importance in the control measures when preventing the spread of Chagas disease. In order of …


Euclidian Geometry: Proposed Lesson Plans To Teach Throughout A One Semester Course, Joseph Willert 2018 Boise State University

Euclidian Geometry: Proposed Lesson Plans To Teach Throughout A One Semester Course, Joseph Willert

Mathematics Undergraduate Theses

Overview We provide several engaging lesson plans that would aid in the teaching of geometry, specifically targeting Euclidian Geometry, towards students of high school age. The audience of this piece would be high school or college students who have not yet had an introduction to geometry, but have completed the standard mathematical courses leading up to this point (i.e. algebra, elementary math, etc.). This being the case the lessons and concepts realized in Chapter 1 target a basic understanding of what Euclidian Geometry is and the subsequent chapters aim specifically at underlying properties of a geometry. The main source of …


Functional Central Limit Theorem For Additive Functionals Associated To The Generalized Nelson Hamiltonian, Soumaya Gheryani, Achref Majid, Habib Ouerdiane 2018 Faculty of Science, University of Tunis El Manar, Tunisia

Functional Central Limit Theorem For Additive Functionals Associated To The Generalized Nelson Hamiltonian, Soumaya Gheryani, Achref Majid, Habib Ouerdiane

Communications on Stochastic Analysis

No abstract provided.


Stochastic Differential Equations With Anticipating Initial Conditions, Hui-Hsiung Kuo, Sudip Sinha, Jiayu Zhai 2018 Louisiana State University, Baton Rouge, USA

Stochastic Differential Equations With Anticipating Initial Conditions, Hui-Hsiung Kuo, Sudip Sinha, Jiayu Zhai

Communications on Stochastic Analysis

No abstract provided.


Stochastic Lagrangian Formulations For Damped Navier-Stokes Equations And Boussinesq System, With Applications, Kazuo Yamazaki 2018 Department of Mathematics, University of Rochester, Rochester, New York 14627, USA

Stochastic Lagrangian Formulations For Damped Navier-Stokes Equations And Boussinesq System, With Applications, Kazuo Yamazaki

Communications on Stochastic Analysis

No abstract provided.


Generalized Random Fields And Lévy's Continuity Theorem On The Space Of Tempered Distributions, Hermine Biermé, Olivier Durieu, Yizao Wang 2018 Laboratoire de Mathématiques et Applications UMR CNRS 7348, Université de Poitiers, Boulevard Marie et Pierre Curie 86962 Futuroscope Chasseneuil Cedex, France

Generalized Random Fields And Lévy's Continuity Theorem On The Space Of Tempered Distributions, Hermine Biermé, Olivier Durieu, Yizao Wang

Communications on Stochastic Analysis

No abstract provided.


On A Stochastic 2d Simplified Liquid Crystal Model Driven By Jump Noise, T. Tachim Medjo 2018 Department Mathematics and Statistics, Florida International University, MMC, Miami, FL, 33199, USA

On A Stochastic 2d Simplified Liquid Crystal Model Driven By Jump Noise, T. Tachim Medjo

Communications on Stochastic Analysis

No abstract provided.


New Filters For The Calibration Of Regime Switching Beta Dynamics, Robert J. Elliott, Carlton Osakwe 2018 University of Calgary

New Filters For The Calibration Of Regime Switching Beta Dynamics, Robert J. Elliott, Carlton Osakwe

Communications on Stochastic Analysis

No abstract provided.


Non-Continuous Double Barrier Reflected Bsdes With Jumps Under A Stochastic Lipschitz Coefficient, Mohamed Marzougue, Mohamed El Otmani 2018 Laboratory of Analysis and Applied Mathematics (LAMA), Faculty of sciences Agadir, Ibn Zohr University, Morocco

Non-Continuous Double Barrier Reflected Bsdes With Jumps Under A Stochastic Lipschitz Coefficient, Mohamed Marzougue, Mohamed El Otmani

Communications on Stochastic Analysis

No abstract provided.


Different Estimation Methods For The Basic Independent Component Analysis Model, Zhenyi An 2018 Washington University in St. Louis

Different Estimation Methods For The Basic Independent Component Analysis Model, Zhenyi An

Arts & Sciences Graduate Student Theses and Dissertations

Inspired by classic cocktail-party problem, the basic Independent Component Analysis (ICA) model is created. What differs Independent Component Analysis (ICA) from other kinds of analysis is the intrinsic non-Gaussian assumption of the data. Several approaches are proposed based on maximizing the non-Gaussianity of the data, which is measured by kurtosis, mutual information, and others. With each estimation, we need to optimize the functions of expectations of non-quadratic functions since it can help us to access the higher-order statistics of non-Gaussian part of the data. In this thesis, our goal is to review the one of the most efficient estimation methods, …


Generalized Line Graphs, Mohra Abdullah Z. Alqahtani 2018 Western Michigan University

Generalized Line Graphs, Mohra Abdullah Z. Alqahtani

Dissertations

With every nonempty graph, there are associated many graphs. One of the best known and most studied of these is the line graph L (G) of a graph G, whose vertices are the edges of G and where two vertices of L (G) are adjacent if the corresponding edges of G are adjacent. This concept was implicitly introduced by Whitney in 1932. Over the years, characterizations of graphs that are line graphs have been given, as well as graphs whose line graphs have some specified property. For example, Beineke characterized graphs that are line graphs by forbidding certain graphs …


Simplifying Coefficients In A Family Of Ordinary Differential Equations Related To The Generating Function Of The Laguerre Polynomials, Feng Qi 2018 Tianjin Polytechnic University

Simplifying Coefficients In A Family Of Ordinary Differential Equations Related To The Generating Function Of The Laguerre Polynomials, Feng Qi

Applications and Applied Mathematics: An International Journal (AAM)

In the paper, by virtue of the Faà di Bruno formula, properties of the Bell polynomials of the second kind, and the Lah inversion formula, the author simplifies coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials.


Conformable Derivative Operator In Modelling Neuronal Dynamics, Mehmet Yavuz, Burcu Yaşkıran 2018 Necmettin Erbakan University

Conformable Derivative Operator In Modelling Neuronal Dynamics, Mehmet Yavuz, Burcu Yaşkıran

Applications and Applied Mathematics: An International Journal (AAM)

This study presents two new numerical techniques for solving time-fractional one-dimensional cable differential equation (FCE) modeling neuronal dynamics. We have introduced new formulations for the approximate-analytical solution of the FCE by using modified homotopy perturbation method defined with conformable operator (MHPMC) and reduced differential transform method defined with conformable operator (RDTMC), which are derived the solutions for linear-nonlinear fractional PDEs. In order to show the efficiencies of these methods, we have compared the numerical and exact solutions of fractional neuronal dynamics problem. Moreover, we have declared that the proposed models are very accurate and illustrative techniques in determining to approximate-analytical …


Coincidence Point With Application To Stability Of Iterative Procedure In Cone Metric Spaces, Ismat Beg, Hemant K. Pathak 2018 Lahore School of Economics

Coincidence Point With Application To Stability Of Iterative Procedure In Cone Metric Spaces, Ismat Beg, Hemant K. Pathak

Applications and Applied Mathematics: An International Journal (AAM)

We obtain necessary conditions for the existence of coincidence point and common fixed point for contractive mappings in cone metric spaces. An application to the stability of J-iterative procedure for mappings having coincidence point in cone metric spaces is also given.


Induced Hesitant 2-Tuple Linguistic Aggregation Operators With Application In Group Decision Making, Tabasam Rashid, Ismat Beg, Raja N. Jamil 2018 University of Management and Technology Lahore

Induced Hesitant 2-Tuple Linguistic Aggregation Operators With Application In Group Decision Making, Tabasam Rashid, Ismat Beg, Raja N. Jamil

Applications and Applied Mathematics: An International Journal (AAM)

In this article, hesitant 2-tuple linguistic arguments are used to evaluate the group decision making problems which have inter dependent or inter active attributes. Operational laws are developed for hesitant 2-tuple linguistic elements and based on these operational laws hesitant 2- tuple weighted averaging operator and generalized hesitant 2- tuple averaging operator are proposed. Combining Choquet integral with hesitant 2-tuple linguistic information, some new aggregation operators are defined, including the hesitant 2-tuple correlated averaging operator, the hesitant 2-tuple correlated geometric operator and the generalized hesitant 2-tuple correlated averaging operator. These proposed operators successfully manage the correlations among the elements. After …


Some New Nonlinear Second-Order Boundary Value Problems On An Arbitrary Domain, Ahmed Alsaedi, Mona Alsulami, Ravi P. Agarwal, Bashir Ahmad 2018 Florida Institute of Technology

Some New Nonlinear Second-Order Boundary Value Problems On An Arbitrary Domain, Ahmed Alsaedi, Mona Alsulami, Ravi P. Agarwal, Bashir Ahmad

Mathematics and System Engineering Faculty Publications

In this paper, we develop the existence theory for nonlinear second-order ordinary differential equations equipped with new kinds of nonlocal non-separated type integral multi-point boundary conditions on an arbitrary domain. Existence results are proved with the aid of fixed point theorems due to Schaefer, Krasnoselskii, and Leray–Schauder, while the uniqueness of solutions for the given problem is established by means of contraction mapping principle. Examples are constructed for the illustration of the obtained results. Ulam-stability is also discussed for the given problem. A variant of the problem involving different boundary data is also discussed. Finally, we introduce an associated boundary …


Contact Numbers For Packing Of Spherical Particles, Eduardo Alejandro Ramirez Martinez 2018 The University of Texas Rio Grande Valley

Contact Numbers For Packing Of Spherical Particles, Eduardo Alejandro Ramirez Martinez

Theses and Dissertations

This thesis covers packings of spherical particles. The main object of this investigation is the contact number of a packing. New bounds for contact numbers of certain families of sphere packings in dimension 3 are obtained as the outcome of this research.


Generalized &Thetas;-Parameter Peakon Solutions For A Cubic Camassa-Holm Model, Michael Rippe 2018 The University of Texas Rio Grande Valley

Generalized &Thetas;-Parameter Peakon Solutions For A Cubic Camassa-Holm Model, Michael Rippe

Theses and Dissertations

In this paper we outline a method for obtaining generalized peakon solutions for a cubic Camassa-Holm model originally introduced by Fokas (1995) and recently shown to have a Lax pair representation and bi-Hamiltonian structure by Qiao et al (2012). By considering an amended signum function—denoted sgn &thetas;(x)—where sgn(0) = &thetas; for a constant &thetas;, we explore new generalized peakon solutions for this model. In this context, all previous peakon solutions are of the case &thetas; = 0. Further, we aim to analyze the algebraic quadratic equation resulting from a substitution of the single-peakon ansatz equipped with our amended …


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