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A survey of combinatorial link invariants and their application to link tabulations

Creator:: Doll, Helmut (Helmut Richard)
Resource Type:: Masters Thesis
Full Text:: 6 12 I 2 10 14 4 16 8 2 1 9. Reidemeister moves 2 6 10. L+, L_ and Lo 2 8 11. P-polynomial for

Electro-magneto-hydrodynamics : the processes of electric arc steelmaking

Creator:: King, Paul E. (Paul Everson), 1962-
Abstract:: Because of competition from abroad, the U. S. Steel industry has begun research into the processes involved with electric arc steelmaking. This paper addresses the mathematical background of these furnaces and the electro-magneto- hydrodynamical effects used to melt the large quantities of steel. A classical approach to the derivation of...
Resource Type:: Masters Thesis
Full Text:: and the Russian physicists L. P. Landau and E. M. Lifshitz, who have done extensive work in this 3

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:: to be and anal the other is l>. If a n =1 then the other

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:: Laplace transforms of certain known formulas [Appendix formulas C" and C " 1 (12) L [K (2NrfTy)] = t -1

A synthesis of significant developments in the history, calculation, and properties of the number e

Creator:: Beecroft, James Lewis
Abstract:: This thesis brings together under one cover a survey of the history of the real number e along with a study of the present state of its theory and calculation.
Resource Type:: Masters Thesis
Full Text:: , unknowingly, used l/e as the base of his logarithms. We wish to show this using the calculus. Referring

Universal algebra

Creator:: Sekino, Junpei
Abstract:: 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, these operations are related by means of equations, yielding different algebraic structures such as...
Resource Type:: Masters Thesis
Full Text:: ALGEBRAS L GENERAL THEORY 1. S2 -Algebras 9 By an n -ary operation on a set A, we understand a

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:: (Major) presented on . L/-t` .2 ( / (Date) ,! Title: AN INVESTIGATION OF BIVARIATE

A synthesis of significant developments in the history, calculation, and properties of the number pi

Creator:: Burdg, Donald Eugene
Abstract:: This thesis brings together under one cover a survey of the history of the real number pi along with a study of the present state of its theory, application, and calculation.
Resource Type:: Masters Thesis
Full Text:: 4 L; 2n - 1 n=1 Gregory failed to state explicitly that when x = 1, the above infinite series

Proximate orders and generalized indicators of entire functions

Creator:: Caton, Gerald Lee
Resource Type:: Masters Thesis
Full Text:: ) < lim - n+ l r K+e < lim r- r It therefore follows from the maximum modulus principle that iti(z

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:: independent term. Minkowski (4, p. 182) has shown that sets of the form L L {l)(I 1 Ji i= 1 4 (1

ScholarsArchive@OSU

A survey of combinatorial link invariants and their application to link tabulations

Electro-magneto-hydrodynamics : the processes of electric arc steelmaking

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

Investigations concerning heat transfer involving wedge-shaped configurations

A synthesis of significant developments in the history, calculation, and properties of the number e

Universal algebra

An investigation of bivariate approximations

A synthesis of significant developments in the history, calculation, and properties of the number pi

Proximate orders and generalized indicators of entire functions

Vector sums of line segments

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