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Now showing items 1-10 of 348

#### 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 ...

#### Melting Points of Atomic and Homogeneous, Diatomic Molecular Solids Via the Four-Body Problem

(University of Texas at Arlington, 1992-10)

For a regular tetrahedral arrangement of four identical atoms, the minimum velocity of one atom, required for that atom to pass through the plane of the other three, is used to define the melting point of any solid composed ...

#### On a New Mathematical Model of the Molecular Bond

(University of Texas at Arlington, 2001-05)

Using a new model of the molecular bond, we produce a set of initial conditions for the ground state H2 molecule which yield, over one complete period, bond length and vibrational frequency which are identical to the ...

#### Pressure Method for the Numerical Solution of Transient, Compressible Fluid Flown

(University of Texas at Arlington, 1983-08)

In this paper the pressure method for incompressible fluid flow simulation is extended and applied to the numerical simulation of compressible fluid
flow. The governing equations, obtained from the physical principles ...

#### Infinitely Many Perfect and Unitary Perfect Polynomials Over Some GF(q)

(University of Texas at Arlington, 1977-05)

The existence is shown of infinitely many non-splitting perfect polynomials over GF(2d), GF(3d), GF(5d) for each odd integer d > 1, and over GF(2d)
for each (even) integer d 1 0 (mod 3). Stronger results show that each ...

#### A Method for Approximating the Solution Set of a System of Convex Inequalities by Polytopes

(University of Texas at Arlington, 1990-12)

In this note a method for computing approximations by polytopes
of the solution set [see pdf for notation] of a system of
convex inequalities is presented. It is shown that such
approximations can be determined by ...

#### New Mathematical Properties of the Banzhaf Value

(University of Texas at Arlington, 1995-01)

In a paper by P. Dubey and L.S. Shapley an axiomatic definition of the Banzhaf value has been extracted from an axiomatic definition of the Banzhaf power index (see [6]). Briefly speaking, the Banzhaf value axioms can be ...

#### Method of Quasi-Upper and Lower Solutions in Abstract Cones

(University of Texas at Arlington, 1981-05)

Let E be a real Banach space with ||•|| and let E* denote the dual of E. Let K C E be a cone, that is, a closed convex subset such
that ^K C K for every ^ ≥ 0 and K ^ {-K} = {O}, By means of K a partial order ≤ is defined ...

#### A New Approach to the Method of Nonlinear Variation of Parameters

(University of Texas at Arlington, 1975-01)

As is well-known [3] the method of variation of parameters is a very useful tool in studying the properties of solutions of perturbed differential equations. Extending the classical variation of constants formula for linear ...

#### 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 ...