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Browsing Department of Mathematics by Title

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Browsing Department of Mathematics by Title

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  • Johnson, Robert C. (Robert Carl) (1966-02-10)
    This paper is devoted to the study of families of tangent lines to curves in Euclidean three dimensional space by the medium of a particular representation for lines. First, a ring of elements called dual numbers is d ...
  • Mueller, Thomas J. (1972-10-29)
    In many practical applications of learning systems to problems of pattern recognition it has been realized and explicitly noted in the literature that linear discriminations are inadequate. On the other hand, it has a ...
  • Cook, Samuel A.; Dray, Tevian (American Institute of Physics, 2009-12)
    A definition is suggested for affine symmetry tensors, which generalize the notion of affine vectors in the same way that (conformal) Killing tensors generalize (conformal) Killing vectors. An identity for these tensors ...
  • Park, Moon Up (1972-03-15)
    A general theory of micromorphic materials was developed by Eringen for the prediction of continuum behavior of materials with inner structure, such as, granular solids, composite materials, anisotropic and polymeric ...
  • Borah, Bolindra Nath (1968-08-15)
    The classical theory of elasticity and plasticity does not recognize explicitly the existence of a "transition zone" between elastic and plastic states, which instead, makes extensive use of ad-hoc, semi-empirical law ...
  • Burns, Erick R. (2004-05-26)
    Using thermodynamic principles, the general relationship describing the equilibrium vapor content in the gas phase above a saline liquid and across a curved liquid-gas interface is developed. Since high salt concentrat ...
  • Phon-On, Aniruth (2010-06-02)
    For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G ...
  • Cooper, Julia M. (1989-05-18)
    The classical two-dimensional wavemaker problem is formulated for linear waves. Two conformal mappings are applied to the mathematical formulation to transform the wavemaker problem into a unit disk. It is then shown ...
  • Banks, Bernard W. (1975-03-04)
  • Senkyrik, Martin (1995-04-25)
    Topological results are applied to boundary value problems modeling nonlinear beams and dry friction. A classical continuation theorem is used to prove existence results for nonlinear beams. Unified proofs, where possi ...
  • Margolis, William Edward (1970-06-26)
    First, topological vector spaces are examined from a partial order structure derived from neighborhood bases of the origin. This structure is used to produce a minimal vector norm for every Hausdorff locally convex sp ...
  • Nickel, James Alvin (1951-04-17)
  • Ngo, Nam V. (2006-07-24)
    An analytical model is developed to address the question of how different disturbance regimes affect the mean and variance of landscape carbon storage in forest ecosystems. Total landscape carbon is divided into five po ...
  • Hernley, Aaron; Albrecht, Andreas; Dray, Tevian (American Physical Society, 2013-06-17)
    We investigate a number of simple toy models to explore interesting relationships between dynamics and typicality. We start with an infinite model that has been proposed as an illustration of how nonergodic dynamics can ...
  • Kang, Dong Seung (2002-06-06)
    Let G be a finite group, G₂ be a Sylow 2-subgroup of G, and L/K be a G-Galois extension. We study the trace form qL/K of L/K and the question of existence of a self-dual normal basis. Our main results are as follows: ...
  • Burger, Lance D. (2008-07-21)
    This dissertation arose out of an awareness of difficulties undergraduate linear algebra students encounter when solving linear algebra problems from novel, non-isomorphic settings, even when the problems could be solved ...
  • Finch, David; Hickmann, Kyle S. (IOP Publishing Ltd., 2013-10)
    The spectrum of the interior transmission problem is related to the unique determination of the acoustic properties of a body in thermoacoustic imaging. Under a non-trapping hypothesis, we show that sparsity of the int ...
  • Schmurr, Jason Peter (2008-12-02)
    We identify all translation covers among triangular billiards surfaces. Our main tools are the J-invariant of Kenyon and Smillie and a property of triangular billiards surfaces, which we call fingerprint type, that is in ...
  • Kolbet, James Theodore (1971-04-12)
    A description of a Turing Machine simulator, programmed on the CDC 3300 Digital Computer, using the COMPASS programming languages Version 2.0 of the 0S3 system. The simulator will build a quintuple list from the input ...

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