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Browsing Department of Mathematics by Title

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Browsing Department of Mathematics by Title

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  • Zhang, Min; Guo, Ren; Zeng, Wei; Luo, Feng; Yau, Shing-Tung; Gu, Xianfeng (Elsevier, 2014-09)
    Ricci flow deforms the Riemannian metric proportionally to the curvature, such that the curvature evolves according to a heat diffusion process and eventually becomes constant everywhere. Ricci flow has demonstrated it ...
  • Dray, Tevian (American Institute of Physics, 1986-03)
    A unified, self‐contained treatment of Wigner D functions, spin‐weighted spherical harmonics, and monopole harmonics is given, both in coordinate‐free language and for a particular choice of coordinates.
  • Shiflett, Ray Calvin (1965-12-02)
    In the study of uniform convergence, one is led naturally to the question of how uniform convergence on subsets relates to uniform convergence on the whole space. This paper develops theorems on how pointwise convergenc ...
  • Kinion, Paul A. (1982-05-06)
    Sequential machines uniquely determine directed graphs. A path in a sequential machine may be specified by a starting state and an input sequence. A uniform Hamiltonian touring sequence (UHTS) is an input sequence that s ...
  • Hickmann, Kyle Scott (2010-07-01)
    The extent to which thermoacoustic data determines the acoustic properties of an object was studied. In the case of one dimensional thermoacoustic imaging it was shown that constant acoustic profiles are uniquely specifi ...
  • Sekino, Junpei (1968-12-05)
    In this paper, we are concerned with the very general notion of a universal algebra. A universal algebra essentially consists of a set A together with a possibly infinite set of finitary operations on. A. Generally, t ...
  • Nelson, Thomas Clayton (1969-06-10)
    In this paper a direct, constructive proof of the equivalence of the Normal Algorithm and Turing machine using the Turing machines NAS (Normal Algorithm Simulator) and NAC (Normal Algorithm Converter) is presented. The T ...
  • Garibotti, Cristiano Rodrigues (2007-05-09)
    In this paper we develop an upscaling technique for non-Darcy flow in porous media. Non-Darcy model of flow applies to flow in porous media when large velocities occur. The well-posedness results for theory of quasil ...
  • Ivey, Kathy M. C. (1990-05-01)
    Microcomputers are being used in teaching and learning mathematics. This paper examines ways that computers can be used to enhance teaching in precalculus mathematics. The advantages of computers discussed are: 1) ins ...
  • Limmer, Douglas J. (1993-06-08)
    The standard way of representing numbers on computers gives rise to errors which increase as computations progress. Using p-adic valuations can reduce error accumulation. Valuation theory tells us that p-adic and stand ...
  • Dray, Tevian (American Association of Physics Teachers, 2013-08)
    We provide several examples of the use of geometric reasoning with three-dimensional spacetime diagrams, rather than algebraic manipulations using three-dimensional Lorentz transformations, to analyze problems in speci ...
  • Chunikhina, Evgenia V (2014-12-12)
    In this work, we provide a detailed analysis of a discrete time regime switching financial market model with jumps. We consider the model under two different scenarios: known and unknown initial regime. For each scenario ...
  • Cozzi, Elaine (Math­em­at­ic­al Sci­ences Pub­lish­ers, 2014-08-22)
    We consider solutions to the two-dimensional incompressible Navier-Stokes and Euler equations for which velocity and vorticity are bounded in the plane. We show that for every T > 0, the Navier-Stokes velocity converges ...
  • Kim, Dojin (2015-06-04)
    A perfectly matched layer (PML) is widely used to model many different types of wave propagation in different media. It has been found that a PML is often very effective and also easy to set, but still many questions rem ...
  • Ogard, Steven Phillip (1965-05-14)
    The author shows that a necessary and sufficient condition for a convex polyhedron to be representable as a finite vector sum of line segments is that each of its faces possesses central symmetry.
  • Roetman, Ernest Levane (1962-11-27)
    See pdf
  • Gyde, Nina J. (2003-06-03)
    This thesis explores the vibrational behavior of the main components of sound production in the violin using a continuum mechanics approach. The author provides a mathematical description of the regions in the vibratin ...
  • Krussel, Carolyn E. S. (1994-08-05)
    A concept image is that collection of all images, pictures, symbols, definitions and properties associated with any given mathematical concept. One of the most important components in the mental representation of conce ...
  • Dascaliuc, R.; Grujic, Z. (American Institute of Physics, 2012-10-12)
    A mathematical evidence-in a statistically significant sense-of a geometric scenario leading to criticality of the Navier-Stokes problem is presented. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4752170]
  • Gilliland, Crystal L. (1991-12-05)
    The goal of this research project is to determine the fractal nature, if any, which surface water waves exhibit when viewed on a microscopic scale. Due to the relatively recent development of this area of mathematics, ...

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