Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 2668 for “"topology"”.
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Non-Standard Topology.
Abstract Not Available.
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Minmax topology optimization
… subjected to unknown loading using minmax and topology optimization methods. Assuming only the loading region and norm, we distribute a given amount of material in the design domain to minimize the principal compliance, i.e. the maximum compliance that is produced by the worst-case loading …
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Entanglement, topology, & renormalization
In this thesis we will explore entanglement of various subsystems in quantum field theory, and its uses for describing underlying structure of states. We begin this journey by focusing on topological quantum field theory in chapters 1 and 2. These chapters are based heavily upon the papers [1] and …
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Topics in quantum topology
In chapter 1, which represents joint work with Gilmer, we define an index two subcategory of a 3-dimensional cobordism category. The objects of the category are surfaces equipped with Lagrangian subspaces of their real first homology. This generalizes the result of [9] where surfaces are equipped …
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Topics in applied topology
… its efficacy in recovering the underlying topology of phase spaces from trajectory data of low dimensional observations. We then establish the NP-hardness of decomposing a density function into a minimal number of unimodal components, an important problem in topological statistics, and …
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Interior algebras and topology
In this thesis connections between categories of interior algebras and categories of topological spaces, and generalizations of topological concepts to interior algebras, are investigated. The following are some of the most significant results we obtain: The establishment of a duality between …
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Controlling polymer network topology
Chapter 1: Introduction to Polymer Network Topology on a (Macro)Molecular Level Polymer network topology, comprising the ways in which strands and junctions are connected in polymer networks, plays a critical role in dictating many material properties. Here we discuss classical challenges in the …
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Cheleby: Internet Topology Collection System
Router-level Internet topology influences the dynamics of routing protocols, the scalability of multicast, and other aspects of protocol performance. In general, ISPs are reluctant to share their topology information with public due to commercial concerns. Although there are some studies to reveal …
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Protein microenvironments for topology analysis
Amino Acid Residues are often the focus of research on protein structures. However, in a folded protein, each residue finds itself in an environment that is definedby the properties of its surrounding residues. The term microenvironment is usedherein to refer to these local ensembles. Not only do …
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Building science through topology optimization
… work centers on the establishment of a novel topology optimization framework targeted specifically towards the needs of the structural engineering industry. Topology optimization can be used to minimize the material consumption in a structure, while at the same time providing a tool to …
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Topics in structural topology optimization
… discusses two topics pertaining to structural topology optimization: reliability-based topology optimization and the topological derivative. We first perform reliability-based topology optimization by combining reliability analysis and material distribution topology design methods to design …
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Mixed-state topology and response
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-12-01
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E-compactness in pointfree topology
The main purpose of this thesis is to develop a point-free notion of E-compactness. Our approach follows that of Banascheski and Gilmour in [17]. Any regular frame E has a fine nearness and hence induces a nearness on an E-regular frame L. We show that the frame L is complete with respect this …
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Strict extensions in pointfree topology
Extensions of spaces have been constructed and used since the 19th century, for example, to form the complex sphere from the complex plane by adding a point at in nity. Once topological spaces were invented in the 20th century, completions and compactications became important examples of …
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Energy and topology of heteropolymers
The properties of biological polymers are controlled by two fundamental aspects: the energetic interactions, and the topological properties due to the fact that they are chains of connected monomers. In this thesis I study the interplay of topological and energetic properties in heteropolymers. We …
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Topology of combinatorial differential manifolds
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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The topology of Hecke correspondences
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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Quantitative Topology of Loop Space
… connected Riemannian manifold controls its topology. Analogous to Gromov’s notion of distortion of higher homotopy groups of underlying Riemannian manifold, we define notions of distortion for (co)homology classes in the loop space with real coefficients, and study the asymptotics of these …
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Topology of Kac-Moody groups
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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