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Now showing items 1-10 of 140

#### Interval Estimation of the Noncentrality Parameter of A Gamma Distribution

(University of Texas at Arlington, 1984-09)

Asymptotic confidence interval for the noncentrality parameter of a Gamma distribution (or Chi-squared distribution) is derived. An algorithm for
computing the maximum likelihood estimator of the non-centrality parameter ...

#### Local Atomic Temperature

(University of Texas at Arlington, 1989-10)

For the study of phase-transition by molecular dynamics, the concept of local temperature is desirable. Such a concept is defined and studied in this paper. From computer studies of tetrahedral arrangements of four atoms, ...

#### Stability and Generalized Hopf Bifurcation Through a Reduction Principle

(University of Texas at Arlington, 1980-10)

We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these periodic orbits has often been obtained by using such techniques ...

#### A Mathematical Curiosity in Estimating the Radius of the First Ring Electrons of an Arbitary Atom

(University of Texas at Arlington, 1984)

In this note, we explore an elementary method for approximating the radii and speeds of first ring electrons in atoms. The approach uses only a single
algebraic equation with parameters. Any particular atom under study ...

#### Supercomputer Simulation of Cracks and Fractures by Quasimolecular Dynamics

(University of Texas at Arlington, 1989)

The gross physical behavior of solids and liquids is the result of atomic or molecular reactions to external forces. Using molecular dynamics, we can study such reactions in the small, on the molecular level. In quasimolecular ...

#### Programs and Data Sets for Quasimolecular Modeling of Cavity Flow

(University of Texas at Arlington, 1987-01)

#### Monotone Technique for Periodic Solutions of Differential Equations

(University of Texas at Arlington, 1982-07)

The existence of periodic solutions has received
a great deal of attention in recent years [1,7-11,14]. In [8,11] the existence of solutions of first
and second order PBVP (periodic boundary
value problem) has ...

#### A New Computer-Oriented Approach to Molecular Mechanics

(University of Texas at Arlington, 1982-02)

A new dynamical theory for atomic and molecular dynamics is formulated and discussed. The associated nonlinear differential system is derived from general atomic and molecular stability properties and from aspects of modern ...

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

(University of Texas at Arlington, 1985-05)

A new computational approach is
developed for the energy states of
two electron atoms and ions. The
theory incorporates a classical
interpretation of electron pairing and requires Only simple numerical
methodology ...

#### On None Approach to Equilibrium in Compartmental Systems

(University of Texas at Arlington, 1981-04)

The question of convergence of a solution of a compartmental system
to an equilibrium point, as t -> °°, is of considerable interest [1-6]. Although it was not explicitly stated, the remarks in [1] seem to suggest that ...