 IDEALS Home
 →
 College of Liberal Arts and Sciences
 →
 Dept. of Mathematics
 →
 Browse Dept. of Mathematics by Title
Browse Dept. of Mathematics by Title
Now showing items 2140 of 1135

(1996)The techniques of algebraic geometry have been widely and successfully applied to the study of linear codes over finite fields since the early 1980's. Recently, there has been an increased interest in the study of linear ...
application/pdf
PDF (3MB) 
(20180629)This thesis consists of two unrelated research projects. In the first project we study the model theory of the 2sorted structure (F, C; χ), where F is an algebraic closure of a finite field of characteristic p, C is the ...
application/pdf
PDF (560kB) 
(20110525)A filling subgroup of a finitely generated free group F(X) is a subgroup which does not fix a point in any very small action free action on an Rtree. For the free group of rank two, we construct a combinatorial algorithm ...
application/pdf
PDF (2MB) 
(2007)Above all, our work presents very explicit results, mostly stated as formulae and explicit representations, rather than algorithms. The formulae that we obtained for the ramifications and an integral basis of a cyclic ...
application/pdf
PDF (3MB) 
application/pdf
PDF (3MB) 
application/pdf
PDF (1MB) 
application/pdf
PDF (2MB) 
(1997)In their 1995 paper, Muller and Schupp define the concept of an alternating automaton, a sort of completion of the notion of a nondeterministic automaton, and show how the notion may be used to prove a number of major ...
application/pdf
PDF (11MB) 
(2004)The Main Theorem shows that every nontrivial tame knot in R3 has an alternating quadrisecant. This result refines the previous work about quadrisecants and gives greater geometric insight into knots. The Main Theorem ...
application/pdf
PDF (3MB) 
(1984)An (omega)language is a set of infinite ((omega)type) strings of symbols. We study the classes of (omega)languages accepted by Turing Acceptors when infinite computations are allowed. There are various possible ...
application/pdf
PDF (2MB) 
(1997)In 1877, R. Dedekind introduced the sum$$s(d, c) = \sum\sbsp{j=1}{c}\left(\left({j\over c}\right)\right)\left(\left({dj\over c}\right)\right),$$which appears in the multiplier system of the Dedekind etafunction as a modular ...
application/pdf
PDF (3MB) 
(1981)Two algorithms of use in sparse matrix computation are studied. The rounding errors of the computational Lanczos algorithm are examined in order to account for the differences between the ideal and the machineoperator ...
application/pdf
PDF (5MB) 
(20110826)In this thesis, we provide connections between analytic properties in Euclidean R^n and analytic properties in subRiemannian Carnot groups. We introduce weak sJohn domains, in analogy with weak John domains, and we prove ...
application/pdf
PDF (615kB) 
(20130822)In this paper we examine an approximation of the MaxwellBoltzmann equation for a 1D gas. In the manner of classical gas dynamics, we derive a balance law and use it to determine the grossly determined solutions, a subclass ...
application/pdf
PDF (436kB) 
(2004)We prove error estimates for the case of both elementwise and patchwise causal partitions.
application/pdf
PDF (5MB) 
(2004)The focus of this dissertation is analysis of a causal spacetime discontinuous Galerkin (CSDG) method for onedimensional hyperbolic systems of conservation laws. The CSDG method is based on causal spacetime discretizations, ...
application/pdf
PDF (3MB) 
(1990)In 1983, Bhatia, Davis and McIntosh proved that if A and B are selfadjoint with dist($\sigma(A),\sigma(B)) \geq \delta$ then there is some $c\sb{sa} < 2$ (independent of A and B) such that $c\sb{sa}\vert\vert\vert AQ  ...
application/pdf
PDF (3MB) 
application/pdf
PDF (2MB) 
(20130524)We study vortex equations with a parameter $s$ on smooth vector bundles $E$ over compact K\"ahler manifolds $M$. For each $s$, we invoke techniques in \cite{Br} by turning vortex equations into the elliptic partial ...
application/pdf
PDF (570kB) 
(2004)Our work resolves many issues left untreated in the original paper by Lagarias and Odlyzko and makes several original contributionssome of which have applications in other areas. In this dissertation we: (1) introduce ...
application/pdf
PDF (8MB)
Now showing items 2140 of 1135