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Now showing items 21-30 of 348

#### On a Boundary Value Problem for a Class of Differential Equations with a Deviating Argument

(University of Texas at Arlington, 1973-10)

Recently, J. Chandra [1] obtained comparison estimates for differential equations with deviating argument
(1) [see pdf for notation]
on the interval I: to [see pdf for notation] , where [see pdf for notation] is a given ...

#### Minkowski's Inequality for Convex Curves

(University of Texas at Arlington, 2001-05)

Minkowski's inequality is a relation between mixed areas of two curves and their respective areas. The concept of mixed area is defined. A variational technique is used to give a proof of Minkowski's inequality. As a special ...

#### Methodology for Testing Homogeneity of Variances

(University of Texas at Arlington, 1979-02)

Suppose random samples are drawn from each of n populations with unknown means and variances. Developing procedures to test the claim that the population variances are equal (homogeneity of variances) has frequently been ...

#### The Method of Quasilinearization and Positivity of Solutions in Abstract Cones

(University of Texas at Arlington, 1976-03)

The method of quasilinearization was first introduced by Bellman (Ref. 1) and was developed further by Kalaba (Ref. 2). More detailed information concerning the method can be found in (Ref. 3). This method has been very ...

#### 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 the Computation of Semivalues for TU Games

(University of Texas at Arlington, 2008-12)

In an earlier paper, [Dragan,2006a] , we proved that every Least Square Value is the Shapley Value of a game obtained by rescaling from the given game. In the paper where the Least Square Values were introduced by Ruiz, ...

#### 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 ...

#### Hydrogenic Formulas for Excited States of the Atoms Through Carbon

(University of Texas at Arlington, 1985)

One of the beautiful consequences of Bohr's simplistic theory for hydrogen was a single formula for the excited states of the atom. Since this formula can be stated in terms of the constants of the hydrogen atom, it is ...

#### On a Class of Bargaining Schemes for Points in the Core of a Cooperative N-Person Game

(University of Texas at Arlington, 1991-05)

Projection methods of solving convex feasibility problems lead naturally to a class of bargaining scheme's for points in the core of cooperative n-person games. Each such bargaining scheme is by itself a mathematical model ...

#### On Attractive Force Between Electrons in the Same Molecular Orbital

(University of Texas at Arlington, 1991)

Is is assumed, on the basis of recent studies in particle theory, that two electrons in the same molecular orbital attract, rather than repel, and the consequences are explored by means of three dimensional, supercomputer, ...