Browsing Department of Mathematics by Title
Now showing items 66-85 of 570
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Computer Experiments for Molecular Motions and Chemical Bonding
(University of Texas at ArlingtonDepartment of Mathematics, 1995-12)**Please note that the full text is embargoed** ABSTRACT: It is shown how to simulate first the ground state molecule H. The correct bond length, period, and electron cloud result. The method is then extended to ground ... -
Computer Files for Drop Formation
(University of Texas at ArlingtonDepartment of Mathematics, 1987)**Please note that the full text is embargoed** -
Computer Modelling of a Dynamical Water Molecule
(University of Texas at ArlingtonDepartment of Mathematics, 1995)**Please note that the full text is embargoed** ABSTRACT: A model of a ground state water molecule is formulated dynamically and studied by computer simulations. The enigmatic 104.5° bond angle is approximated by introducing ... -
Computer Simulation of a Dynamical Model of the Water Molecule
(University of Texas at ArlingtonDepartment of Mathematics, 1982-07)**Please note that the full text is embargoed** ABSTRACT: A new computer-orlented theory for molecular dynamics is applied to modeling the water molecule. The dynamical equations are derived from molecular stability ... -
Computer Studies in Particle Modeling of Fluid Phenomena
(University of Texas at ArlingtonDepartment of Mathematics, 1984-02)**Please note that the full text is embargoed** ABSTRACT: A new, numerical approach is developed for modeling fluid phenomena. Unlike the continuum and statistical mechanics approaches, it uses relatively small sets of ... -
Computer Studies of a Semiclassical Model of the Water Molecule
(University of Texas at ArlingtonDepartment of Mathematics, 1993)**Please note that the full text is embargoed** ABSTRACT: A semiclassical model of the water molecule is formulated in ground state as an eleven-body problem. The stiff system of dynamical, nonlinear, ordinary differential ... -
Computer Studies of the Classical Oxygen Molecule
(University of Texas at ArlingtonDepartment of Mathematics, 1980-03)**Please note that the full text is embargoed** ABSTRACT: A classical, simplistic model of the molecular dynamics of 02 is developed for interactions which are not readily amenable to quantum mechanical analysis. ... -
Computer Study of a Semiclassical Model of the Dynamical Water Molecule
(University of Texas at ArlingtonDepartment of Mathematics, 1993-03)**Please note that the full text is embargoed** ABSTRACT: A semiclassical model of the water molecule is formulated as an eleven-body problem. The stiff system of differential equations is run for two billion time steps ... -
Computer-Oriented, n-Body Modelling of Minimal Surfaces
(University of Texas at ArlingtonDepartment of Mathematics, 1982-12)**Please note that the full text is embargoed** ABSTRACT: In this paper a new approach to the modeling of minimal surfaces is described and applied. Rather than use a continuous model, we develop a discrete n-body model ... -
Conditional Confidence Intervals Of Process Capability Indices Following Rejection Of Preliminary Tests
(Mathematics, 2010-07-19)Finding an ordinary confidence interval of an unknown parameter is well known, but finding a conditional confidence interval following rejection of a preliminary test is not so noted, especially for finding a conditional ... -
Cone-Valued Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1976-08)**Please note that the full text is embargoed** ABSTRACT: It is very well known that employing a single Lyapunov function and the theory of scalar differential inequality offers a useful mechanism to study a ... -
Conservative Difference Formulations of Calogero and Toda Hamiltonian Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1988)**Please note that the full text is embargoed** ABSTRACT: Calogero and Toda Hamiltonian systems are reformulated using only differences. The formulations prove to have the same fundamental invariants as the continuous ... -
Conservative Motion of a Discrete, Nonsymmetric, Hexahedral Gyroscope
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Gyroscopic motion is simulated by applying a molecular dynamics formulation to a rigid hexahedron. The conservative dynamical differential equations are solved ... -
Conservative Motion of Discrete, Hexahedral Gyroscope
(University of Texas at ArlingtonDepartment of Mathematics, 1996)**Please note that the full text is embargoed** ABSTRACT: Gyroscopic motion is simulated by applying a molecular dynamics formulation to a rigid hexahedron. The conservative dynamical differential equations are solved ... -
Conservative Motion of Discrete, Tetrahedral Top on a Smooth Horizontal Plane
(University of Texas at ArlingtonDepartment of Mathematics, 1996)**Please note that the full text is embargoed** ABSTRACT: Tetrahedral tops are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The contact point of the top with the XY plane ... -
Conservative Motion of Discrete, Tetrahedral Tops and Gyroscopes
(University of Texas at ArlingtonDepartment of Mathematics, 1996)**Please note that the full text is embargoed** ABSTRACT: Tetrahedral tops and gyroscopes are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The conservative, dynamical ... -
Conserving Numerical Methods for x = f(x)
(University of Texas at ArlingtonDepartment of Mathematics, 1983-07)**Please note that the full text is embargoed** ABSTRACT: Physics is characterized by conservation laws and by symmetry [1]. Unfortunately, the application of numerical methodology in approximating solutions of initial ... -
Continuous Deformation of a Developable Surface
(University of Texas at ArlingtonDepartment of Mathematics, 1996-02)**Please note that the full text is embargoed** ABSTRACT: A developable surface can be developed from a piece of planar region, or vice versa. Several methods are known to construct an isometric mapping between the developable ... -
Controlling Curvature in the Minkowski Plane
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Pontryagin's maximum principle is used to find the curve of shortest length with bounded Minkowskian curvature passing through two points with given initial and ... -
The convergence of difference boxes
(Mathematical Association of AmericaDepartment of Mathematics, University of Texas at Arlington, 2005)We consider an elementary mathematical puzzle known as a "difference box" in terms of a discrete map from R⁴ to R⁴ or , canonically, from a subset of the first R² into itself. We identify the map's unique canonical fixed ...