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Browsing Department of Mathematics by Title
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(Massachusetts Institute of Technology, 1969)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 1989)
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(Massachusetts Institute of Technology, 1994)
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(Massachusetts Institute of Technology, 2012)We obtain improved running times for two algorithms for clustering data: the expectation-maximization (EM) algorithm and Lloyd's algorithm. The EM algorithm is a heuristic for finding a mixture of k normal distributions ...
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(Massachusetts Institute of Technology, 2007)In the first part, we present a family of entanglement purification protocols that generalize four previous methods, namely the recurrence method, the modified recurrence method, and the two methods proposed by Maneva-Smolin ...
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(Massachusetts Institute of Technology, 2009)In their paper Metaplectic Forms, D. A. Kazhdan and S. J. Patterson developed a generalization of automorphic forms that are defined on metaplectic groups. These groups are non-trivial covering groups of usual algebraic ...
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(Massachusetts Institute of Technology, 2003)
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(Massachusetts Institute of Technology, 1998)
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(Massachusetts Institute of Technology, 1971)
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(Massachusetts Institute of Technology, 2007)In this thesis, we study ad-nilpotent ideals and its relations with nilpotent orbits, affine Weyl groups, sign types and hyperplane arrangements. This thesis is divided into three parts. The first and second parts deal ...
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(Massachusetts Institute of Technology, 2002)This thesis consists of two parts. In the first part we study the affine quantum group of type A, giving a geometric description of its natural inner product, and studying the theory of cells attached to the canonical ...
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(Massachusetts Institute of Technology, 1940)
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(Massachusetts Institute of Technology, 2003)Motivated by results and conjectures of Stanley concerning minimal border strip tableaux of partitions, we present three results. First we generalize the rank of a partition [lambda] to the rank of a shifted partition ...
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(Massachusetts Institute of Technology, 2000)
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(Massachusetts Institute of Technology, 1996)
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(Massachusetts Institute of Technology, 1987)
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(Massachusetts Institute of Technology, 2007)Graph states are quantum states (quantum codes) in qn-dimensional space ... (q being a power of some prime number) which can be described by graphs with edges labeled from the field of order q, Fq. Graph states are determined ...
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(Massachusetts Institute of Technology, 2008)A Sasakian manifold S is equipped with a unit-length, Killing vector field ( which generates a one-dimensional foliation with a transverse Kihler structure. A differential form a on S is called basic with respect to the ...
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(Massachusetts Institute of Technology, 1997)
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