Browsing Department of Mathematics by Title
Now showing items 794813 of 883

Superfluidity and random media
(Massachusetts Institute of Technology, 1993) 
Support Vector Machine algorithms : analysis and applications
(Massachusetts Institute of Technology, 2002)Support Vector Machines (SVMs) have attracted recent attention as a learning technique to attack classification problems. The goal of my thesis work is to improve computational algorithms as well as the mathematical ... 
A survey of primary decomposition using Gröbner bases
(Massachusetts Institute of Technology, 1995) 
Symbolic integration.
(Massachusetts Institute of Technology, 1967) 
Symmetric function generalizations of graph polynomials
(Massachusetts Institute of Technology, 1995) 
Symmetry properties of semilinear elliptic equations with isolated singularities
(Massachusetts Institute of Technology, 2007)In this thesis we use the method of moving planes to establish symmetry properties for positive solutions of semilinear elliptic equations. We give a detailed proof of the result due to Caffarelli, Gidas, and Spruck that ... 
Symplectic cohomology and duality for the wrapped Fukaya Category
(Massachusetts Institute of Technology, 2012)Consider the wrapped Fukaya category W of a collection of exact Lagrangians in a Liouville manifold. Under a nondegeneracy condition implying the existence of enough Lagrangians, we show that natural geometric maps from ... 
Symplectic cohomology of contractible surfaces
(Massachusetts Institute of Technology, 2014)In 2004, Seidel and Smith proved that the Liouville manifold associated to Ramanujams surface contains a Lagrangian torus which is not displaceable by Hamiltonian isotopy, and hence that higher products of this manifold ... 
Symplectic isotopy for cuspidal curves
(Massachusetts Institute of Technology, 2005)This work has three purposes. The first one is to prove unobstructedness of deformation of pseudoholomorphic curves with cusps and tacnodes. We show that if the first Chern class of a 4dimensional symplectic manifold is ... 
Symplectic properties of Milnor fibres
(Massachusetts Institute of Technology, 2014)We present two results relating to the symplectic geometry of the Milnor fibres of isolated affine hypersurface singularities. First, given two Lagrangian spheres in an exact symplectic manifold, we find conditions under ... 
Symplectic singularities, periodic orbits of the billiard ball map, and the obstacle problem
(Massachusetts Institute of Technology, 1984) 
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 KontsevichManin 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) 
A term of Commutative Algebra
(Worldwide Center of Mathematics, 20130504)There is no shortage of books on Commutative Algebra, but the present book is different. Most books are monographs, with extensive coverage. But there is one notable exception: Atiyah and Macdonald's 1969 classic. It ... 
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 models of ultrafast IndiaAsia convergence : new paleomagnetic results from Ladakh, Western Himalaya
(Massachusetts Institute of Technology, 2014)Rapid IndiaAsia convergence has led to a major continental collision and formation of the Himalayas, the highest mountain range on Earth. Knowledge of the paleolatitude of the KohistanLadakh Arc (KLA), an intermediate ... 
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 pilotwave 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 adiabatic invariants in statistical mechanics
(Massachusetts Institute of Technology, 1956)