搜索结果: 16-30 共查到“数学 structure”相关记录154条 . 查询时间(0.167 秒)
We prove an analogue of the Poincare'-Birkhoff-Witt theorem and of the Cartier-Milnor-Moore theorem for non-cocommutative Hopf algebras. The primitive part of a cofree Hopf algebra is a B-infini-algeb...
The Data Absorption Technique: Coevolution to Automate the Accurate Representation of Social Structure
Cognitive agent based simulation coevolution data absorption social science simulation Bayesian optimization algorithm irregular warfare
2014/8/8
Coevolution is a technique that not only enables simulations to represent the formation of social structure, but also facilitates their capability to emulate the processes of iterative feedback under...
The product structure of the equivariant K-theory of the based loop group of SU(2)
equivariant K-theory Lie group loop group based loop spaces
2012/6/30
Let G=SU(2) and let \Omega G denote the space of continuous based loops in G, equipped with the pointwise conjugation action of G. It is a classical fact in topology that the ordinary cohomology H^*(\...
Fejer-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle
Fejer-Riesz factorizations the structure of bivariate polynomials orthogonal the bi-circle Complex Variables
2012/6/29
We give a complete characterization of the positive trigonometric polynomials Q(\theta,\phi) on the bi-circle, which can be factored as Q(\theta,\phi)=|p(e^{i\theta},e^{i\phi})|^2 where p(z,w) is a po...
A hereditarily indecomposable Banach space with rich spreading model structure
Spreading models Strictly singular operators Reflexive spaces Hereditarily indecomposable spaces
2012/6/25
We present a reflexive Banach space $\mathfrak{X}_{_{^\text{usm}}}$ which is Hereditarily Indecomposable and satisfies the following properties. In every subspace $Y$ of $\mathfrak{X}_{_{^\text{usm}}}...
Geometrical structure of Laplacian eigenfunctions
Laplace operator eigenfunctions eigenvalues localization
2012/6/25
We review the properties of eigenvalues and eigenfunctions of the Laplace operator in bounded Euclidean domains with Dirichlet, Neumann or Robin boundary condition. We keep the presentation at a level...
On the structure of finite level and ω-decomposable Borel functions
finite level Borel function countably continuous function Baire class of functions decomposable functions
2012/6/21
We give a full description of the structure under inclusion of all finite level Borel classes of functions, and provide an elementary proof of the well-known fact that not every Borel function can be ...
On the operad structure of admissible G-covers
Algebraic Geometry structure of admissible G-covers
2012/5/25
We describe the modular operad structure on the moduli spaces of pointed stable curves equipped with an admissible $G$-cover. To do this we are forced to introduce the notion of an operad colored not ...
Variation of Hodge structure for generalized complex manifolds
Variation of Hodge structure generalized complex manifolds Differential Geometry
2012/5/9
A generalized complex manifold which satisfies the $\partial \overline{\partial}$-lemma admits a Hodge decomposition in twisted cohomology. Using a Courant algebroid theoretic approach we study the be...
A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
A Structure Theorem for Poorly Anticoncentrated Gaussian Chaoses and Applications to the Study of Polynomial Threshold Functions
Structure Theorem Anticoncentrated Gaussian Chaoses Study of Polynomial Threshold Functions
2012/4/18
We prove a structural result for degree-$d$ polynomials. In particular, we show that any degree-$d$ polynomial, $p$ can be approximated by another polynomial, $p_0$, which can be decomposed as some fu...
We study pairs (C,D) of unital C*-algebras where D is an abelian C*-subalgebra of C which is regular in C. When D is a MASA in C, there exists a unique completely positive unital map E of C into the i...
Asymptotic behavior of a structure made by a plate and a straight rod
nonlinear elasticity junctions straight rod plate
2011/9/21
Abstract: This paper is devoted to describe the asymptotic behavior of a structure made by a thin plate and a thin rod in the framework of nonlinear elasticity. We scale the applied forces in such a w...
The Local Structure of Compactified Jacobians: Deformation Theory
Compactified Jacobian compactified Picard scheme nodal curve torsion-free sheaf
2011/9/16
Abstract: This paper studies the local geometry of compactified Jacobians constructed by Caporaso, Oda-Seshadri, Pandharipande, and Simpson. The main result is a presentation of the completed local ri...
Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups
Residually nilpotent group entropy of automorphisms of groups pseudo-Anosov dilatation
2011/9/15
Abstract: We study the word length entropy of automorphisms of residually nilpotent groups, and how the entropy of such group automorphisms relates to the entropy of induced automorphisms on various n...