Index Catalog // ScholarsArchive@OSU

Modulo m properties of the Fibonacci sequence

Creator:: Vinson, John Ellsworth
Resource Type:: Masters Thesis
Full Text:: exist 3 and k such that 1) u101 E ui and 2) uk+j+1 E 11.141 (mod m) . By adding the respective sides

A study of the differential equation d²w/dz² + (m + z²)w=0

Creator:: Morris, C. Gordon
Resource Type:: Masters Thesis
Full Text:: - E-II, /3;+)' 2-r C (v- v)e ¿ . + . ) o- 4-J 4.-J-I i- e ¿ L 2(3 (4. i) a -J)z J .7 m t

On multiple point Taylor series expansions

Creator:: Dyche, Chester Wayne
Resource Type:: Masters Thesis
Full Text:: transforma tion to both sides yields n d (2.2) g(s,p) = ds n 4 L m+n+p m+n+p-k {k) s F (O)J

Generalized deformation-rates in secondary flows of viscoelastic fluids between rotating spheres

Creator:: Knoshaug, Ronald Norman
Abstract:: By various experiments, it has been found that the response of real materials to external forces is, in general, nonlinear in character. In classical continuum mechanics, the use of ordinary measures of strain have forced the constitutive equations to take complex forms and since the orders of these measures are...
Resource Type:: Masters Thesis
Full Text:: ;j ;i 7 d (r) = _ ij -1) ) + v m d + d (r-1) (r-1) v m + d (r-1) v m . . . . ij 1j;m 1m

Reduction of Fredholm integral equations with Green's function kernels to Volterra equations

Creator:: Aalto, Sergei Kalvin
Abstract:: G. F. Drukarev has given a method for solving the Fredholm equations which arise in the study of collisions between electrons and atoms. He transforms the Fredholm equations into Volterra equations plus finite algebraic systems. H. Brysk observes that Drukarev's method applies generally to a Fredholm integral equation (I-λ G)u...
Resource Type:: Masters Thesis
Full Text:: on ('1 x (1.3) G(x, s)u(s)ds = J V(s)f(s)g(x)u(s)ds 0 0 1 + V(s)f(x)g(s)u(s)ds = V(s)[f(s

Generalized difference operators with applications to physical systems

Creator:: Smith, Newton Birrell
Resource Type:: Masters Thesis
Full Text:: arbitrary complex parameter. Consider the power series C C (J o n (U ls-eh f . 1. n+1 i- (14-eh

Stability of flows of thermo-viscoelastic fluids between rotating coaxial circular cylinders

Creator:: Ghandour, Nabil Nassib
Abstract:: We investigate in this thesis, the problem of stability of thermo-viscoelastic fluid flow between rotating coaxial cylinders. By using the thermo-viscoelastic constitutive equations given by Eringen, we reduce the equations of motion into a form suitable for stability analysis. The course of reduction which we follow yields some interesting intermediate...
Resource Type:: Masters Thesis
Full Text:: m and a m are the contravariant components of the stress tensor T, the body force 4 and the

Real roots of polynomials : an interactive computer approach

Creator:: Moussaoui, Ahmed
Abstract:: This is an interactive, self explanatory computer program on real roots of polynomials with real coefficients. This program called POLYROOT has the double feature of tutoring and problem solving. It allows the user to enter on one line any polynomial with real coefficients. Then, the user can find : 1....
Resource Type:: Masters Thesis
Full Text:: CONTINUE OR 'M' TO GO BACK TO THE MENU Fig. 5 Definitions I First part of definitions DEFINITONS THE

The extension problem for functions invariant under a group

Creator:: Chang, Bai-Ching
Abstract:: Consider a transformation group G operating on a space X and a G- invariant function f defined on a G- invariant subset of X. By imposing suitable conditions on X, G, f and A, the author derives sufficient conditions for extending f invariantly to the whole space, and thus generalizing...
Resource Type:: Masters Thesis
Full Text:: to express his deep gratitude to Dr. J. Wolfgang Smith for his many helpful assistances during the

A classification of determinants whose evaluations have appeared in periodical literature

Creator:: Liebetrau, Albert M.
Abstract:: This paper is a classification of 181 problems, each of which involves the evaluation or application of determinants. The problems are those which have appeared in the "Problems and Solutions" sections of the American Mathematical Monthly, Deutsche Mathematiker-Vereinigung Jahresbricht, Mathematics Magazine, and School Science and Mathematics. The problems are classified,...
Resource Type:: Masters Thesis
Full Text:: E I M B F J N C G K o D H L P Let S be the cornrrron sum of each of the rows

ScholarsArchive@OSU

Modulo m properties of the Fibonacci sequence

A study of the differential equation d²w/dz² + (m + z²)w=0

On multiple point Taylor series expansions

Generalized deformation-rates in secondary flows of viscoelastic fluids between rotating spheres

Reduction of Fredholm integral equations with Green's function kernels to Volterra equations

Generalized difference operators with applications to physical systems

Stability of flows of thermo-viscoelastic fluids between rotating coaxial circular cylinders

Real roots of polynomials : an interactive computer approach

The extension problem for functions invariant under a group

A classification of determinants whose evaluations have appeared in periodical literature

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