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  • Elements of a fast decimal arithmetic unit

    Creator:
    Unger, Izaak Leo
    Abstract:
    A systematic and rigorous derivation of the Boolean functions that represent the three operations of the ring of integers in the 1-2-4-5 code is developed from their corresponding tables. The same is done for numerical complementation of a number. The equations of the latter are combined with those for addition...
    Resource Type:
    Dissertation

  • On the algebra of orthogonal Latin squares

    Creator:
    Goebel, Jack Bruce
    Resource Type:
    Dissertation

  • On triangulations of fixed points in the plane

    Creator:
    Weingarten, Frederick Wesley
    Abstract:
    A theory of straight line triangulations of points in the plane is developed. A basic transformation is presented, and it is shown that any triangulation may be transformed into any other triangulation which has the same boundary by a finite sequence of the basic transformations. The proof of the transformation...
    Resource Type:
    Dissertation
    Full Text:
    privacy ACKNOWLEDGEMENT The author would like to express his appreciation to Dr. H. Goheen and Dr. C

  • Finite geometries without the axiom of parallels

    Creator:
    Henderson, Mason Edward
    Abstract:
    Among the geometries with n points on every line (with n an integer greater than one), those in which there are no parallels and those in which the axiom of parallels holds have been discussed (as finite projective and affine geometries) in the literature. This paper contrasts such geometries with...
    Resource Type:
    Dissertation
    Full Text:
    . Buschman and Goheen. He provided guidance in the form of my major professor, Dr. Goheen. I feel that I

  • The integro-geometric tangent measures of euclidean n-space

    Creator:
    Zelver, Jack Solomon
    Abstract:
    A technique of differentiation with respect to the distance to the boundary of an outer parallel-body is applied to known measures of sets of p-dimensional linear spaces which intersect a general convex body in n-dimensional euclidean space in order to obtain an appropriate definition of the measures of sets of...
    Resource Type:
    Dissertation
    Full Text:
    Philosophy Harry heen A technique of differentiation with respect to the distance to the boundary of an

  • The completeness axiom of Lobachevskian geometry

    Creator:
    Hartvigson, Zenas Russell
    Abstract:
    This paper gives a proof that the Completeness Axiom of Lobachevskian geometry -- as formulated in the second English translation of David Hilbert's Foundations of Geometry (tenth German edition)--is a theorem in the three dimensional Poincare model. An explicit canonical isomorphism between all models of Lobachevskian space is given. This,...
    Resource Type:
    Dissertation
    Full Text:
    AXIOM OF THE LOBACHEVSKIAN GEOMETRY Abstract approved: y Goheen This paper gives a proof that the

  • An extension of Hilbert's axioms of incidence and order to n dimensions

    Creator:
    Murray, Peter John
    Abstract:
    This paper presents an extension of Hubert's incidence axioms to n dimensions and uses these and his order axioms to prove several theorems. We prove extensions of Pasch's Axiom, the Crossbar Theorem, and Desargues' Theorem for n dimensions. A non-Euclidean model is presented and proved to satisfy the axioms. In...
    Resource Type:
    Dissertation
    Full Text:
    ORDER TO N DIMENSIONS Abstract approved: Hatry Goheen This paper presents an extension of Hubert's

  • PEESHTAZ : the interactive computer programming system in Farsi

    Creator:
    Ayromloo, Shahram Shawn
    Resource Type:
    Dissertation
    Full Text:
    . Harry E. Goheen) for all that he has taught me not only in Computer Science and Mathematics, but also

  • A fast division algorithm

    Creator:
    Dum, Stephen Anthony
    Abstract:
    A radix 2n non-restoring division algorithm is described. The algorithm is designed to be compatible with hardware multiprecision multiplication methods currectly used in high speed digital computers. This enables the use of the same hardware, with only changes in control logic, to be used to implement both multiplication and division....
    Resource Type:
    Dissertation
    Full Text:
    privacy Abstract approved: Professor ry E. Goheen A radix 2n non-restoring division algorithm is

  • Smooth approximations and quermassintegrals

    Creator:
    Ojha, Murari Prasad
    Abstract:
    See pdf.
    Resource Type:
    Dissertation