No description available.

Thesis (doctoral)--Universität Bonn), 2000. / Includes bibliographical references (p. 159-164).

A packing of the plane unit disk U by an infinite collection of smaller disks [symbol omitted] = {Dn} is a non-over lapping arrangement of the Dn which covers U up to a residual set of measure 0. An indication of the efficiency of such a packing is given by its exponent and local exponents which are defined in terms of the convergence of the exponential series [formula omitted] where rn is the radius of Dn and α is positive. It is proved that the exponent of a packing is the supremum of its local exponents. Then a special class of packings is introduced and it is shown that all these have the same exponent and constant local exponent. Reasons are given for believing this exponent to be the minimum over all packings and a lower bound of 1.059 is derived for it. One of these packings is modified without changing its exponent to solve an obstacle problem. In the final section, several unsolved problems on packings and exponents are suggested. / Science, Faculty of / Mathematics, Department of / Graduate

This thesis is an investigation of some of the properties of polynomial rings, unique factorization domains, Euclidean domains, and principal ideal domains. The nature of some of the relationships between each of the above systems is also developed in this paper.

Thesis--Bonn. / Extra t.p. with thesis statement inserted. Includes bibliographical references (p. 66-68).

Thesis--Bonn. / Extra t.p. with thesis statement inserted. Includes bibliographical references (p. 66-68).

No description available.

No description available.

No description available.

No description available.