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Browse Dissertations and Theses  Mathematics by Title
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(20100820)In this thesis, we first use the ${\mathbb C^*}^2$action on the Hilbert scheme of two points on a Hirzebruch surface to compute all onepointed and some twopointed GromovWitten invariants via virtual localization, then ...
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(1967)
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(1991)Nondifferentiable quasiconvex programming problems are studied using Clarke's subgradients. Several conditions sufficient for optimality are derived. Under certain regularity conditions on the constraint functions, we also ...
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(1995)Here we generalize quasigeodesics to multidimensional Alexandrov space with curvature bounded from below and prove that classical theorems of Alexandrov also hold for this case. Also we develop gradient curves as a tool ...
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(1995)In the first part of this thesis, we prove Ramanujan's formulas for the coefficients in the power series expansions of certain modular forms. We prove his formulas for the coefficients of 1/$E\sb4, E\sb4/E\sb6$ and other ...
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(20150121)In this dissertation, we study three problems about Ramsey theory. First, we prove a selfdual Ramsey theorem for parameter systems which is a generalization of the selfdual Ramsey theorem developed by Solecki. Second, ...
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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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(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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Now showing items 594613 of 791