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Browse Dissertations and Theses  Mathematics by Title
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(20170705)Suppose $f(x,y)$ is a binary form of degree $d$ with coefficients in a field $K \subseteq \cc$. The {\it $K$rank of $f$} is the smallest number of $d$th powers of linear forms over $K$ of which $f$ is a $K$linear ...
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(20120918)This thesis builds on the recently begun extension of continuum thermomechanics to fractal media which are specified by a fractional mass scaling law of the resolution length scale R. The focus is on prefractal media ...
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(1991)In this dissertation we study the representation of standard measures and contents via Loeb measures and the standard part map, extending previously known results to a nontopological setting. In addition, a characterization ...
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(1994)We are concerned with the problem of finding the least s for which every large natural number n admits a representation $n = x\sbsp{2}{2} + x\sbsp{3}{3} + \cdots + x\sbsp{s+1}{s+1}$, where the numbers $x\sb{i}$ are nonnegative ...
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(1992)In this thesis the techniques of multifunction theory are applied to problems in optimization and equilibrium theory. First, fixed point index theory for multifunctions is used to extend a continuation result of F. E. ...
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(1987)Let G be a group and let n be an integer greater than 1. An ntuple $({\rm x\sb1,\dots, x\sb{n}})$ of elements of G is said to be rewriteable if there is a nontrivial permutation $\sigma$ in Sym(n) such that ${\rm x\sb1\dots ...
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(2007)We describe a method for approximating the Mumford curve model O/Gamma of a given totally split hyperelliptic curve y2 = i=12g+2xa i . Once the generators of the Schottky group Gamma are obtained, we also explain how ...
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(20140530)CullerVogtmann Outer Space (denoted $\cv_N$) is the space of all free minimal discrete isometric actions of the free group of rank $N$ ($F_N$) on $\mathbb{R}$trees, $T$. We say a subset $\Sigma \subseteq F_N$ is ...
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(20140530)In this thesis we consider strata of flat metrics coming from quadratic differentials (semitranslation structures) on surfaces of finite type. We provide a necessary and sufficient condition for a set of simple closed ...
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(1965)
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(1999)Finally, a new proof of Winquist's identity which is essential for an elementary proof for Ramanujan's famous partition identity modulo 11, p(11n + 6) ≡ 0 (mod 11) is provided in the last part of the thesis.
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(20130524)Our first topic is the study of selfinversive polynomials. We establish sufficient conditions for selfinversive polynomials to have all zeros on the unit circle. We examine how such polynomials are used to generate further ...
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(20150706)A longstanding problem in algebraic combinatorics is to find nonnegative combinatorial rules for the Schubert calculus of generalized flag varieties; that is, for the structure constants of their cohomology rings with ...
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Now showing items 890909 of 1147