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Generalization of the Ostrowski-Schneider main inertia theorem

Creator:: Hill, Richard David
Abstract:: As indicated by the title, this thesis generalizes the Main Inertia Theorem of Ostrowski and Schneider [8]. The first three results concern the formation of a polynomial function f(A, A*, H) so that the existence of an hermitian H for which f(A, A*, H) is positive definite is a necessary...
Resource Type:: Masters Thesis
Full Text:: AN ABSTRACT OF THE THESIS OF Richard David Hill for the M

Vector sums of line segments

Creator:: Ogard, Steven Phillip
Abstract:: 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.
Resource Type:: Masters Thesis
Full Text:: OF STEVEN PHILLIP OGARD for the M. S. in Mathematics (Name) (Degree) (Major) Date thesis is

Two finite Tchebichef transformations

Creator:: Normann, Søren Frederick
Resource Type:: Masters Thesis
Full Text:: . 2, P• 184) [n/2) m y (X) = U (X) = r ( · t) . ta;m P ( 2X) n-2m , 2 n L m. (n- ) • m=O where

Lattice point on the boundary of convex bodies

Creator:: Andrews, George E., 1938-
Resource Type:: Masters Thesis
Full Text:: content V > m2, then it contains at least m pairs of lattice points. Thus we are afforded two avenues

Summation and table of finite sums

Creator:: Stalley, Robert Delmer
Resource Type:: Masters Thesis
Full Text:: from in to n, we obtain: n 'n-i.]. '-u =VI . (2) X Xl m mus i iç inay be found we niay sun the

Investigations concerning heat transfer involving wedge-shaped configurations

Creator:: King, John Michael
Abstract:: The temperature field inside a "truncated" wedge is investigated. For this purpose the two dimensional Green's function of the heat equation for this domain is established. Further applications of these results center around a problem of heat conduction investigated by Lebedev.
Resource Type:: Masters Thesis
Full Text:: ) = e rri sin(mTrv) cos (Try (z)irr v Y v(z) + 2i sin(v7r) Hence, for m = 1 Fv(ze±iTr) = Fv(z) This

Cyclotomy in the Galois fields

Creator:: Pearson, Patricia Margaret
Resource Type:: Masters Thesis
Full Text:: element of GF [p m~] • Since f is a primitive miX,· - in turn implies that el~i' since by hypothesis

The distribution of partial quotients in the simple continued fraction expansion of a real number

Creator:: Bland, Steven Andrew
Abstract:: By using continued fractions the set of positive irrationals can be put in one to one correspondence with the set of sequences of positive integers. The entries of an arbitrary sequence of integers can be any subset of Z and each integer appearing can occur once, infinitly often, or anything...
Resource Type:: Masters Thesis
Full Text:: "bm> are equal and an m then non and a.*b.. [7] Remark: We will then have uniqueness if we suppress

An investigation of bivariate approximations

Creator:: Bills, Gary Royce
Abstract:: The three important methods of approximation; interpolation, least- squares, and Chebyshev, are extended into bivariate approximations. A method of obtaining polynomial approximations for very general classes of bivariate samples is developed. Bivariate least - square approximations are reviewed and a method of developing bibariate orthogonal sequence is derived. A method...
Resource Type:: Masters Thesis
Full Text:: some choice of {a.. }, the polyno- mial M-1 a..x 1 y 1 i=0 j=0 interpolates the bivariate

A recursive definition of ordinal arithmetic

Creator:: Prenter, Patricia Moira, 1934-
Resource Type:: Masters Thesis
Full Text:: recursion theoreme Define m + n. This is an instance of recursive definition. We will want to use such

ScholarsArchive@OSU

Generalization of the Ostrowski-Schneider main inertia theorem

Vector sums of line segments

Two finite Tchebichef transformations

Lattice point on the boundary of convex bodies

Summation and table of finite sums

Investigations concerning heat transfer involving wedge-shaped configurations

Cyclotomy in the Galois fields

The distribution of partial quotients in the simple continued fraction expansion of a real number

An investigation of bivariate approximations

A recursive definition of ordinal arithmetic

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