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Browse Dissertations and Theses  Mathematics by Title
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(2003)Finally, this thesis uses dynamical systems techniques to prove already known results in continued fractions.
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(2008)Lattice varieties play an important role in several areas of mathematics. In this thesis we investigate the properties of rational points on lattice varieties over Witt vectors with algebraically closed residue field in ...
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(1992)Let F$\sb{n,m}$ denote the set of all real forms of degree m in n variables. In 1888, Hilbert proved that a form P $\in$ F$\sb{n,m}$ which is positive semidefinite (psd) must have a representation as a sum of squares (sos) ...
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(2000)Although the 'Inductive' form of Dade's conjecture must be verified for all finite, nonabelian, simple groups G, for most such G it suffices to verify a simpler form of the conjecture. In this thesis we will introduce ...
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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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Now showing items 879898 of 1147