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.
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Showing 1 to 13 of 13 for “"Infinite sequence"”.
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Infinity and experience
… between our experience and knowledge of the infinite. The first chapter is a critical examination of Shaughan Lavine's project in Understanding the Infinite. Lavine argues that although we do not experience the infinite, we can explain how we acquire knowledge of the infinite by appeal to our …
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Higher-order polynomial invariants of 3-manifolds giving lower bounds for Thurston norm
We define a new infinite sequence of invariants, d&d1;n for n ≥ 0, of a group G that measure the size of the successive quotients of the derived series of G. In the case that G is the fundamental group of a 3-manifold, we obtain new 3-manifold invariants. These invariants are closely related to …
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The dynamics of bose gases
… the Gross-Pitaevskii (GP) hierarchy, which is an infinite sequence of coupled partial differential equations that models the dynamics of Bose gases and arises in the derivation of the cubic and quintic nonlinear Schrödinger equations from an N-body linear Schrödinger equation. In Chapter 2, we …
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Making Hands: Neural Implicit Manifold Learning of Hand Gestures
… space. A trajectory in that space is a finite or infinite sequence of hand poses. These trajectories represent the different ways that the hand gestures. To demonstrate my approach, I restrict my study to a dataset of hands grasping everyday objects, and I evaluate my model on unknown grasps. …
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Unstable operations in the Bousfield-Kan spectral sequence for simplicial commutative FF₂-algebras
… this thesis we study the Bousfield-Kan spectral sequence (BKSS) in the Quillen model category sCom of simplicial commutative FF₂ -algebras. We develop a theory of unstable operations for this BKSS and relate these operations with the known unstable operations on the homotopy of the target. We …
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Double affine galleries
… affine hyperplane arrangements. A gallery is an infinite sequence of chambers, indexed by an ordered set, which is maximal with respect to a finiteness condition on the multiset of wall-crossings. We study the possible order types of galleries. We also use galleries to define a double affine …
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Free surface flow over bottom topography
… the boundary-layer analysis. In fact a seemingly infinite sequence of solution branches is uncovered using numerical methods and a nonlinear multiple-scales technique, and in general the solution for any given topography amplitude is non-unique. In addition to these results the stability of the …
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Error-Correcting Codes Associated With Generalized Hadamard Matrices Over Groups
… Hadamard codes, the concept of an M-invariant infinite sequence whose elements are integers in a finite field is introduced. Such sequences are periodic of least period, <em>T</em>, and have the interesting property, that arbitrary identical rearrangements of the elements in each period yields …
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Structure of classical W-algebras
… Drinfel'd and Sokolov reduction, I find an infinite sequence of integrable systems related to an affine fractional W-algebra when Am is a semisimple element in g((z)). In the last part, I introduce generalized Drinfeld-Sokolov reductions and Hamiltonian ODEs associated to classical finite …
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A Covering Theorem for Closed and Compact Point Sets.
… purpose of my thesis is to prove that it is a consequence of R. L. Moore's Axiom 0 and Axiom 13 that if M is a closed and compact point set and Gis a collection of domains covering M, then there is a finite subcollection of G which covers M. All of the work presented in this thesis, including the …
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Extremal Combinatorics and Universal Algorithms
… naturally between its vertices, according to a sequence of specific instructions from the set of all colours; if the robot is at a vertex for which there is no out-edge of the colour indicated by the instruction, it remains at that vertex and proceeds to execute the next instruction in the …
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Physics of Hexagonal Limit-Periodic Phases: Thermodynamics, Formation and Vibrational Modes
… that state during a slow quench through an infinite sequence of phase transitions. Surprisingly, even when the strength of the next-nearest-neighbor interactions is zero, in which case there is a large degenerate class of both crystalline and LP ground states, a slow quench yields the LP …
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The Sterne voyage of the <i>Pequod</i>: the tale of a tub in American literature
… keeps on going, proliferating as a potentially infinite sequence of ideas in the mind of the reader. However, since what is perceptible often proves demonstrably different from such ideas, they can have no validity except as fantasy. Not changes in the spectacle, or in its actors and spectators, …