Browsing Mathematics - Ph.D. / Sc.D. by Title
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Browsing Mathematics - Ph.D. / Sc.D. by Title
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(Massachusetts Institute of Technology, 2005)The category of Segal spaces was proposed by Charles Rezk in 2000 as a suitable candidate for a model category for homotopy theories. We show that Quillen functors induce morphisms in this category and that the morphisms ...
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(Massachusetts Institute of Technology, 2001)In this thesis, two algorithms for protein structural motif recognition are presented. A program is described which successfully recognizes the occurrence of the right-handed parallel 8-helix fold from protein sequence ...
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(Massachusetts Institute of Technology, 2015)Lithium-ion battery is a family of rechargeable batteries with increasing importance that is closely related to everyone's daily life. However, despite its enormously wide applications in numerous areas, the mechanism of ...
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(Massachusetts Institute of Technology, 2001)Recently Bruno and Vaynblat introduced a new mathematical model to describe shock induced martensitic phase transitions. This model is much simpler than prior ones -- requiring, essentially, no quantities that cannot be ...
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(Massachusetts Institute of Technology, 1987)
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(Massachusetts Institute of Technology, 1947)
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(Massachusetts Institute of Technology, 2013)In this thesis, we present three different randomized algorithms that help to solve matrices, compute low rank approximations and perform the Fast Fourier Transform. Matrix probing and its conditioning When a matrix A with ...
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(Massachusetts Institute of Technology, 1992)
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(Massachusetts Institute of Technology, 2012)This doctoral dissertation is on the theory of Minimal Surfaces and of singularities in Mean Curvature Flow, for smooth submanifolds Y" in an ambient Riemannian (n+ 1)-manifold Nn+1, including: (1) New asymptotically conical ...
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(Massachusetts Institute of Technology, 1986)
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(Massachusetts Institute of Technology, 2005)We present new techniques for generation of unstructured meshes for geometries specified by implicit functions. An initial mesh is iteratively improved by solving for a force equilibrium in the element edges, and the ...
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(Massachusetts Institute of Technology, 1997)
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(Massachusetts Institute of Technology, 1962)
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(Massachusetts Institute of Technology, 2014)A Heegaard splitting of a 3-manifold gives rise to a natural set of sweepouts which by the Almgren-Pitts and Simon-Smith min-max theory generates a min-max sequence converging as varifolds to a smooth minimal surface ...
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(Massachusetts Institute of Technology, 2010)This thesis consists of two parts. In the first part, we start by investigating the classical permutohedra as Minkowski sums of the hypersimplices. Their volumes can be expressed as polynomials whose coefficients - the ...
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(Massachusetts Institute of Technology, 2001)Solar activity, as indexed by sunspots, has a cycle of length varying from about 9 to 13 years. Statisticians have fitted several models to predict sunspot numbers one year ahead. We instead focus on predicting the magnitudes ...
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(Massachusetts Institute of Technology, 2013)Capillary instability (Plateau-Rayleigh instability) has been playing an important role in experimental work such as multimaterial fiber drawing and multilayer particle fabrication. Motivated by complex multi-fluid geometries ...
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(Massachusetts Institute of Technology, 2000)
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(Massachusetts Institute of Technology, 2006)The Scott rank of a countable structure A, denoted sr(A), was observed by Nadel to be at most wA + 1, where wA4 is the least ordinal not recursive in A. Let T be weakly scattered and L(a,T) be E2-admissible. We give a ...
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(Massachusetts Institute of Technology, 2015)In this thesis we study wave and Klein-Gordon equations on Kerr exterior spacetimes. For the wave equation, we give a quantitative refinement and simple proofs of mode stability type statements on Kerr backgrounds in the ...
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