Browsing Mathematics - Ph.D. / Sc.D. by Title
Now showing items 715-734 of 785
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The tautological classes of the moduli spaces of stable maps to flag varieties
(Massachusetts Institute of Technology, 2005)We study the tautological classes of the Kontsevich-Manin moduli spaces of genus 0 stable maps to SL flag varieties. We prove that the rational cohomology and rational Chow rings of these spaces are isomorphic and that ... -
Teaching, learning, and exploration
(Massachusetts Institute of Technology, 1994) -
Testing and learning Boolean functions
(Massachusetts Institute of Technology, 2009)Given a function f on n inputs, we consider the problem of testing whether f belongs to a concept class C, or is far from every member of C. An algorithm that achieves this goal for a particular C is called a property ... -
Testing regression models with residuals as data by Xia Hua.
(Massachusetts Institute of Technology, 2010)Abstract In polynomial regression ... . In this thesis, I developed a residual based test, the turning point test for residuals, which tests the hypothesis that the kth order polynomial regression holds with ... while the ... -
Theoretical and numerical analysis of conformal mapping
(Massachusetts Institute of Technology, 1981) -
Theoretical modeling of pilot-wave hydrodynamics
(Massachusetts Institute of Technology, 2020)In this thesis, we develop and apply a number of theoretical models describing the dynamics of a droplet walking on a vibrating liquid bath. We first review the hierarchy of theoretical models developed to describe this ... -
The theory of commuting Boolean algebras
(Massachusetts Institute of Technology, 1997) -
A theory of shifted Young tableaux
(Massachusetts Institute of Technology, 1984) -
Theta functions and division points on Abelian varieties of dimension two
(Massachusetts Institute of Technology, 1985) -
Thin elastic helicoidal shells
(Massachusetts Institute of Technology, 1957) -
Thom-Sebastiani and duality for matrix factorizations, and results on the higher structures of the Hochschild invariants
(Massachusetts Institute of Technology, 2012)The derived category of a hypersurface has an action by "cohomology operations" k[[beta]], deg[beta] = 2, underlying the 2-periodic structure on its category of singularities (as matrix factorizations). We prove a ... -
Thread-wire surfaces
(Massachusetts Institute of Technology, 2006)This thesis studies surfaces which minimize area, subject to a fixed boundary and to a free boundary with length constraint. Based on physical experiments, I make two conjectures. First, I conjecture that minimizers supported ... -
Three-dimensional aerodynamic trajectories
(Massachusetts Institute of Technology, 1952) -
Three-dimensional solitary waves in dispersive wave systems
(Massachusetts Institute of Technology, 2006)Fully localized three-dimensional solitary waves, commonly referred to as 'lumps', have received far less attention than two-dimensional solitary waves in dispersive wave systems. Prior studies have focused in the long-wave ... -
Tight contact structures on small Seifert spaces
(Massachusetts Institute of Technology, 2004)In this thesis, we discuss the relation between the Euler number of a tight contact small Seifert space and the contact framing of Legendrian vertical circles in it, and apply this relation to classify up to isotopy tight ... -
Topics in linear spectral statistics of random matrices
(Massachusetts Institute of Technology, 2017)The behavior of the spectrum of a large random matrix is a topic of great interest in probability theory and statistics. At a global level, the limiting spectra of certain random matrix models have been known for some time. ... -
Topics in nonlinear filtering theory
(Massachusetts Institute of Technology, 1980) -
Topological Hochschild homology of twisted group algebras
(Massachusetts Institute of Technology, 2006)Let G be a group and A be a ring. There is a stable equivalence of orthogonal spectra ... between the topological Hochschild homology of the group algebra A[G] and the smash product of the topological Hochschild homology ... -
Topological invariants of symplectic quotients
(Massachusetts Institute of Technology, 1997) -
The topological q-expansion principle
(Massachusetts Institute of Technology, 1996)
