# Browse Dissertations and Theses - Mathematics by Title

• (1973)

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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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• (1979)

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• (1964)

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• (1967)

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• (2000)
Although the 'Inductive' form of Dade's conjecture must be verified for all finite, non-abelian, 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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• (1979)

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• (1978)

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• (1973)

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• (2017-07-05)
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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• (2012-09-18)
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 pre-fractal 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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• (1960)

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• (1961)

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• (1963)

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• (1971)

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• (1973)

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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 n-tuple $({\rm x\sb1,\dots, x\sb{n}})$ 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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