Now showing items 140-159 of 349

    • Mathematical Analysis of Stress Relaxation in Articular Cartilage During Compression 

      Eisenfeld, Jerome; Lipshitz, Harold; Mow, Van C. (University of Texas at ArlingtonDepartment of Mathematics, 1977-02)
      **Please note that the full text is embargoed** ABSTRACT: Articular cartilage is the avascular bearing material covering the articulating ends of the mating bony segments of synovial joints. Functionally articular cartilage ...
    • A Mathematical Curiosity in Estimating the Radius of the First Ring Electrons of an Arbitary Atom 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1984)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • Mathematical Modeling in Medicine 

      Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1976-09)
      **Please note that the full text is embargoed** ABSTRACT: Although the involvement of mathematics in medicine is still relatively recent, the discipline has become attractive to the mathematics community, and in fact, ...
    • Mathematical Models of Porous Flow 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of MathematicsDepartment of Mathematics, 1978-10)
      **Please note that the full text is embargoed** ABSTRACT: In this paper a new, viable mathematical approach to the analysis of porous flow is developed. Liquids and solids are modeled as sets of particles which interact ...
    • Matrix Fields Over the Integers Modulo m 

      McConnel, Robert M.; Beard, Jacob T. B., Jr. (University of Texas at ArlingtonDepartment of Mathematics, 1974-10)
      **Please note that the full text is embargoed** ABSTRACT: Let Zm denote the ring of integers modulo m and let [see pdf for notation] denote the complete ring of all [see pdf for notation] matrices over Zm under the usual ...
    • Maximal and Minimal Solutions and Comparison Principle for Differential Equations in Abstract Cones 

      Mitchell, Roger W.; Mitchell, A. Richard; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1975-06)
      **Please note that the full text is embargoed** ABSTRACT: Existence of maximal and minimal solutions for differential equations in abstract cones is established without requiring uniform continuity. Utilizing such a result ...
    • Maximal and Minimal Solutions and Comparison Results for Differential Equations in Abstract Cones 

      Lakshmikantham, V.; Mitchell, Roger W.; Mitchell, A. Richard (University of Texas at ArlingtonDepartment of Mathematics, 1974-04)
      **Please note that the full text is embargoed** ABSTRACT: As is well known, an important technique in the theory of differential equations is concerned with estimating a function satisfying a differential inequality by ...
    • Melting Points of Atomic and Homogeneous, Diatomic Molecular Solids Via the Four-Body Problem 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1992-10)
      **Please note that the full text is embargoed** ABSTRACT: 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, ...
    • A Method for Approximating the Solution Set of a System of Convex Inequalities by Polytopes 

      Censor, Yair; Butnariu, Dan (University of Texas at ArlingtonDepartment of Mathematics, 1990-12)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • The Method of Nonlinear Variation of Constants for Difference Equations 

      Lord, M. E. (University of Texas at ArlingtonDepartment of Mathematics, 1977-06)
      **Please note that the full text is embargoed** ABSTRACT: A method of nonlinear variation of constants for discrete difference equations is developed, which generalizes a well-known linear variation of constants formula. ...
    • Method of Quasi-Upper and Lower Solutions in Abstract Cones 

      Lakshmikantham, V.; Vatsala, A. S.; Leela, S. (University of Texas at ArlingtonDepartment of Mathematics, 1981-05)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • The Method of Quasilinearization and Positivity of Solutions in Abstract Cones 

      Lakshmikantham, V.; Sety, Dolores D.; Mitchell, A. Richard (University of Texas at ArlingtonDepartment of Mathematics, 1976-03)
      **Please note that the full text is embargoed** ABSTRACT: The method of quasilinearization was first introduced by Bellman (Ref. 1) and was developed further by Kalaba (Ref. 2). More detailed information concerning the ...
    • The Method of Upper, Lower Solutions and Volterra Integral Equations 

      Ladde, G. S.; Pachpatte, B. G.; Lakshmikantham, V. (University of Texas at ArlingtonDepartment of Mathematics, 1980-12)
      **Please note that the full text is embargoed** ABSTRACT: In employing the method of upper and lower solutions to dynamical systems, one is required to impose a certain monotone property on the given system [5,6,11] When ...
    • Methodology for Testing Homogeneity of Variances 

      Dyer, Danny D.; Keating, Jerome P. (University of Texas at ArlingtonDepartment of Mathematics, 1979-02)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • Minimal and Maximal Solutions of Nonlinear Boundary Value Problems 

      Chandra, Jagdish; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1976-08)
      **Please note that the full text is embargoed** ABSTRACT: This paper is concerned with the construction of the minimal and the maximal solutions of the nonlinear boundary value problem [see PDF for equation] under ...
    • Minimum Path Problems in Normed Spaces, Reflection and Refraction 

      Golomb, Michael; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 1996)
      **Please note that the full text is embargoed** ABSTRACT: The main minimum (or extremum) path problem in this paper deals with the "law of refraction" at a curve separating the plane into two parts with different norms. ...
    • Minkowski's Inequality for Convex Curves 

      Ghandehari, Mostafa (University of Texas at Arlingtonhttp://hdl.handle.net/10106/2458, 2001-05)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • A Modified Greenberg Speed-flow Traffic Model 

      Ardekani, Siamak; Ghandehari, Mostafa (University of Texas at ArlingtonDepartment of Mathematics, 2008)
      **Please note that the full text is embargoed** ABSTRACT: A modified Greenberg speed-flow model is proposed. We assume speed is a logarithmic function of free-flow speed, concentration and a minimum constant density. ...
    • Molecular Cavity Flow 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1998-01)
      **Please note that the full text is embargoed** ABSTRACT: Using molecular mechanics, cavity flow is studied in a basin of 4235 water molecules at 15°C. Primary vortices are generated with wallspeeds [see pdf for notation]. ...
    • A Molecular Mechanics Simulation of Cracks and Fractures in a Sheet of Ice 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1998-07)
      **Please note that the full text is embargoed** ABSTRACT: Rectangular, two dimensional sheets of ice molecules are both stressed and compressed. Computer examples compare dynamical responses when the plate has a slot or ...