搜索结果: 61-75 共查到“向量和张量分析”相关记录136条 . 查询时间(2.48 秒)
Abstract: This is a pedagogical introduction covering maps of metric spaces, Gromov-Hausdorff distance and its "physical" meaning, and dilation structures as a convenient simplification of an exhausti...
On Arnold's Problem on the Classifications of Convex Lattice Polytopes
Arnold's Problem Classifications of Convex Lattice Polytopes Metric Geometry
2011/9/9
Abstract: In 1980, V.I. Arnold studied the classification problem for convex lattice polygons of given area. Since then this problem and its analogues have been studied by B'ar'any, Pach, Vershik, Liu...
Duality of non-exposed faces
convex body polar conjugate face non-exposed point singular point dual self-dual
2011/9/5
Abstract: The assignment of the conjugate face is a natural mapping associated to a convex body and its polar convex body. We study its restriction to non-exposed faces. Conjugate faces of non-exposed...
Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms
Logarithmic tensor category theory, VI: Expansion condition associativity of logarithmic intertwining operators associativity isomorphisms
2011/2/23
This is the sixth part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
Modification of the Simpson moduli space M_{3m+1}(P_2) by vector bundles (I)
Modification Simpson moduli space M_{3m+1}(P_2) vector bundles (I)
2011/2/28
We consider the moduli space of stable vector bundles on curves embedded in P2 with Hilbert polynomial 3m+ 1 and construct a compactification of this space by vector bundles. The result fM is a blow u...
n-Channel Asymmetric Entropy-Constrained Multiple-Description Lattice Vector Quantization
n-Channel Asymmetric Entropy-Constrained Lattice Vector Quantization
2011/1/14
This paper is about the design and analysis of an index-assignment (IA) based multiple-description coding scheme for the n-channel asymmetric case.
We prove explicit formulas for Chern classes of tensor products of vector bundles, with coefficients given by certain universal polynomials in the ranks of the two bundles.
Tensorial representations of Reynolds-stress redistribution
Tensorial representations Reynolds-stress redistribution
2011/3/2
The purpose of the present note is to contribute in clarifying the relation between representation bases used in the closure for the redistribution (pressure-strain) tensor fi j , and to propose a rep...
Generalization of the Bollobás-Riordan polynomial for tensor graphs
(multivariate) topological graph polynomials group eld theory
2011/1/19
Tensor models are used nowadays for implementing a fundamental theory of quan-tum gravity. We de ne here a polynomial T encoding the supplementary topological information.
Vector bundles of rank 2 computing Clifford indices
Semistable vector bundle Clifford indices gonality
2011/1/17
Clifford indices of vector bundles on algebraic curves were introduced in a previous paper of the authors. In this paper we study bundles of rank 2 which compute these Clifford indices.
This is of pa...
Convergence of distributed asynchronous learning vector quantization algorithms
Convergence of distributed asynchronous vector quantization algorithms
2011/2/25
Motivated by the problem of effectively executing clustering algo-rithms on very large data sets, we address a model for large scale dis-tributed clustering methods.
CMB Bispectrum from Primordial Scalar, Vector and Tensor non-Gaussianities
CMB Bispectrum Primordial Scalar Vector Tensor non-Gaussianities
2011/3/2
We present an all-sky formalism for the CMB bispectrum induced by the primordial non-Gaussianities not only in scalar but also in vector and tensor fluctuations. We find that the bispectrum can be for...
Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors
Logarithmic tensor category theory Intertwining maps and tensor product bifunctors
2011/2/23
This is the third part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (...
Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators
Logarithmic tensor category theory Logarithmic formal calculus properties of logarithmic intertwining operators
2011/2/23
This is the second part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper ...
Orientability of vector bundles over real flag manifolds
Vector bundles Orientability Flag manifold
2011/1/17
The purpose of this paper is to give necessary and sufficient conditions for the orientability of vector bundles over flag manifolds of real semi-simple Lie groups. We focus on two kinds of vector bun...