Browsing Department of Mathematics by Title

Now showing items 460-479 of 570

    • Rapid Approximation of the Energy States of Three-Electron Systems 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1985-03)
      **Please note that the full text is embargoed** ABSTRACT: In this paper, we show how to approximate rapidly the energy states of systems with one electron in the second ring. Using known energy states and average radii of ...

    • Rapid Computation of the Energy States of Two-Electron Atoms and Ions with an Explicit Formula for the Excited States of Helium 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1985-05)
      **Please note that the full text is embargoed** ABSTRACT: A new computational approach is developed for the energy states of two electron atoms and ions. The theory incorporates a classical interpretation of electron ...

    • Rapid Computation of the Energy States of Two-Electron Systems 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1985)
      **Please note that the full text is embargoed** ABSTRACT: A new deterministic approach to modelling atoms and molecules is developed which uses static and dynamic numerical methods. The estimate for the ground state energy ...

    • Ray Optics on Surfaces 

      Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 1997)
      **Please note that the full text is embargoed** ABSTRACT: Variational techniques are used to find path of light rays on surfaces. Using Fermat's principle of least time the problem is treated as a constraint optimization ...

    • Reaction time impairments in decision-making networks as a diagnostic marker for traumatic brain injuries and neurological diseases 

      Maia, Pedro; Kutz, J. Nathan (Springer Nature, 2017-04)
      **Please note that the full text is embargoed** ABSTRACT: The presence of diffuse Focal Axonal Swellings (FAS) is a hallmark cellular feature in many neurological diseases and traumatic brain injury. Among other things, ...

    • Reaction-Diffusion Inequalities in Cones 

      Vaughn, Randy; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1978-02)
      **Please note that the full text is embargoed** ABSTRACT: Recently there has been a growing interest in the study of nonlinear reaction-diffusion equations [2,3,4,7] because of the fact examples of such equations occur ...

    • The Reflection Property in Normed Linear Planes with Applications to Generalized Conics 

      O'Neill, Edward J.; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 2005-07)
      **Please note that the full text is embargoed** ABSTRACT: The ancient Greek mathematician Heron was the first to solve the problem of finding the shortest path from point A to point B on one side of the line L, subject to ...

    • Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension 

      Nafari, Manizheh (Mathematics, 2011-10-11)
      M. Artin, W. Schelter, J. Tate, and M. Van den Bergh introduced the notion of non-commutative regular algebras, and classified regular algebras of global dimension 3 on degree-one generators by using geometry (i.e., point ...

    • Relationship Between Stochastic and Differential Models of Compartmental Systems 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1978)
      **Please note that the full text is embargoed** ABSTRACT: This paper shows that the differential equations model for compartmental systems is consistent with a stochastic description. Consequently, we may employ either a ...

    • Remarks on Bellman's Structural Identifiability 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1985-03)
      **Please note that the full text is embargoed** ABSTRACT: This paper remarks on unidentifiable compartmental systems. Emphasis is placed on detecting properties of the system directly from the compartmental diagram without ...

    • Remarks on First and Second Order Periodic Boundary Value Problems 

      Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1982-05)
      **Please note that the full text is embargoed** ABSTRACT: We consider the first and second order periodic boundary value problems (PBVP for brevity)[see pdf for notation] and [see pdf for notation]and obtain the existence ...

    • Remarks on Nonlinear Contraction and Comparison Principle in Abstract Cones 

      Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1975-06)
      **Please note that the full text is embargoed** ABSTRACT: The contraction mapping principle and the Schauder principle can both be viewed as a comparison of maps. For the former one has a condition of the type [see pdf for ...

    • Remarks on Numerical Computations Using the Alternative Method 

      Kannan, R.; Eisenfeld, Jerome; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1977-12)
      **Please note that the full text is embargoed** ABSTRACT: Recently Cesari and Bowman [1] have demonstrated the applicability of the alternative method to obtain approximate solutions of nonlinear equations. They provided ...

    • Representation Theory Of Totally Reflexive Modules Over non-Gorenstein Rings 

      Rangel, Denise Amanda (Mathematics, 2014-09-17)
      In the late 1960's Auslander and Bridger published Stable Module Theory, in whichthe idea of totally reflexive modules first appeared. These modules have been studiedby many. However, a bulk of the information known about ...

    • Representations of the Extended Poincare Superalgebras in Four Dimensions 

      Griffis, John David; 0000-0002-1463-566X (2016-05-13)
      Eugene Wigner used the Poincare group to induce representations from the fundamental internal space-time symmetries of (special) relativistic quantum particles. Wigner’s students spent considerable amount of time translating ...

    • Reproductive Numbers for Periodic Epidemic Systems 

      Mitchell, Christopher David (2016-08-09)
      When using mathematics to study epidemics, often times the goal is to deter- mine when an infection can invade and persist within a population. This can be done in a variety of ways but the most common is to use threshold ...

    • Resolutions And Tor Algebra Structures For Trivariate Monomial Ideals 

      Painter, Jared Lafayette (Mathematics, 2012-07-25)
      In this manuscript we explore properties of minimal free resolutions and their relationship to the Tor-algebra structure for trivariate monomial ideals. We begin with an in-depth analysis of minimal free resolutions of ...

    • Restricted Curvature in the Minkowski Plane 

      Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 2008)
      **Please note that the full text is embargoed** ABSTRACT: A geometric proof for the following problem is given: Let E be the unit circle in a Minkowski plane. Let C be any continuously differentiable closed curve with ...

    • The Riccati Equation Arising in the Control Theory 

      Da Prato, G. (University of Texas at ArlingtonDepartment of Mathematics, 1980-06)
      **Please note that the full text is embargoed**

    • The role of adaptations in two-strain competition for sylvatic Trypanosoma cruzi transmission 

      Kribs, Christopher; Mubayi, Anuj (Taylor and Francis OnlineDepartment of Mathematics, University of Texas at Arlington, 2012-08)
      This study presents a continuous-time model for the sylvatic transmission dynamics of two strains of Trypanosoma cruzi enzootic in North America, in order to study the role that adaptations of each strain to distinct modes ...