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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 190 for “"convexity"”.
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M♮-convexity, S-convexity, and their applications in operations
… a key concept in discrete convex analysis, M♮-convexity, we establish conditions under which the optimal solutions are nonincreasing in the parameters and the preservation property holds for parametric maximization models with submodular objectives, together with the development of several new …
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Observations on Convexity
<p>This thesis will explore convexity as it pertains to sets of complex-valued functions. These include preliminary looks at established linear and polynomially convex hulls, along with the development of new types of convex hulls. These types will include, but are not limited to the hulls …
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T-Levels and T-Convexity
"Let R be a model of an o-minimal theory T. We define the ""T-levels"" of R and explore their connection to tame substructures of R , subject to a few easily satisfied assumptions. This leads to results about the theory of models of T equipped with a T-convex subset, and to answers to some open …
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A Projective Generalization of Convexity
Made available in DSpace on 2014-12-05T21:50:04Z (GMT). No. of bitstreams: 1 0013562.pdf: 1367389 bytes, checksum: 8c12768ea3a05f63cc1ba1cd63439767 (MD5) Previous issue date: 1955
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Convexity in quasi-metric spaces
The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive maps.
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β-Uniform Convexity and Divisible Domains
… is a CAT(-1) space. The notion of p-uniform convexity from the theory of Banach spaces has been proposed as a generalization of the Alexandrov-Toponogov comparison property to Finsler manifolds. We prove that a natural Finsler metric on a strictly convex divisible domain is β-uniformly …
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Convexity and curvature in Lorentzian geometry
A space-time satisfies $\mathcal{R} \geq K $ if the sectional curvatures are bounded below by $K$ for spacelike planes and above by $K$ for timelike planes (similarly, a space-time satisfies $\mathcal{R} \leq K$ if the aforementioned inequalities are reversed). We demonstrate that these curvature …
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Convexity and duality in optimization theory
Thesis. 1977. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics.
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Extremal functions related to convexity and martingales
We consider the problem of finding the extremal function in the class of real-valued biconvex functions satisfying a boundary condition on a product of the unit ball with itself, with a suitable norm in the plane. We want to maximize the biconvex function at a point in the domain where the second …
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Convexity theorems for diametral families of sets
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1992.
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The Hahn-Banach Separation Theorem in Free Convexity
… theorems on separation in the context of free convexity and matrix convex sets. After presenting a proof of the Hahn-Banach Separation Theorem, the main work in this thesis is a treatment of the Effros-Winkler Hahn-Banach Separation Theorem in the setting of matrix convex sets. This result is …
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Stochastic optimization with biased oracles and hidden convexity
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-15 without embargo terms
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Studies integrating geometry, probability, and optimization under convexity
Convexity has played a major role in a variety of fields over the past decades. Nevertheless, the convexity assumption continues to reveal new theoretical paradigms and applications. This dissertation explores convexity in the intersection of three fields, namely, geometry, probability, and …
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Convexity, Concavity, and Human Agency in Large-scale Coastline Evolution
<p>Coherent, large-scale shapes and patterns are evident in many landscapes, and evolve according to climate and hydrological forces. For large-scale, sandy coastlines, these shapes depend on wave climate forcing. The wave climate is influenced by storm patterns, which are expected to change with …
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Midpoint Local Uniform Convexity, and Other Geometric Properties of Banach Spaces
Made available in DSpace on 2014-12-05T21:50:16Z (GMT). No. of bitstreams: 1 6003875.pdf: 1678420 bytes, checksum: 52298546448e0b8f5e4ae51b6825da9a (MD5) Previous issue date: 1960
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Motion Planning along Manifolds with Geodesic Convexity and Analytic Inverse Kinematics
… spaces. Our analysis utilizes geodesic convexity to achieve the same guarantees on Riemannian manifolds, and we leverage this to produce motion plans for mobile robots whose arms have unbounded revolute joints. In the second chapter, we specifically consider the problem of constrained …
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A Survey of Convexity Estimates and Singularities for Mean Curvature Flow with Surgery
… the Mean Curvature Flow. This is followed by the convexity estimates that were developed by Huisken and Sinestrari, which allow us to understand the singularities that form under Mean Curvature Flow. We also present an alternative proof of the convexity estimates for compact mean-convex Mean …
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A Survey of Convexity Estimates and Singularities for Mean Curvature Flow with Surgery
… the Mean Curvature Flow. This is followed by the convexity estimates that were developed by Huisken and Sinestrari, which allow us to understand the singularities that form under Mean Curvature Flow. We also present an alternative proof of the convexity estimates for compact mean-convex Mean …
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Outlier-Robust Multi-View Triangulation Using Graduated Non-Convexity for Space Vehicle Navigation
… We apply Yang et al.’s (2020) Graduated Non-Convexity (GNC) algorithm to three chosen multi-view triangulation solvers and improve the best performing solver’s robustness to 50% outliers which outperforms the current state-of-the-art outlier removal method RANSAC. We apply the robust …
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On the convexity of right-closed sets and its application to liveness enforcement in Petri Nets
… we show that the problem of verifying convexity of a right-closed set is decidable. Following this, we present a polynomial time, LP-based algorithm, for verifying the convexity of a right-closed set of integral vectors, when the dimension n is xed. This result is to be viewed against …
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