搜索结果: 31-45 共查到“几何学基础”相关记录67条 . 查询时间(0.618 秒)
We study the Casimir energy of a scalar field for a regular polygon with N sides.
Casimir energy scalar field regular polygon
2011/2/25
We study the Casimir energy of a scalar field for a regular polygon with N sides.The scalar field obeys Dirichlet boundary conditions at the perimeter of the polygon.
A triangulation of $\CC P^3$ as symmetric cube of $S^2$
Triangulated manifolds Complex projective space Symmetric power Product of 2-spheres
2011/2/21
The symmetric group S3 acts on S 2 × S 2 × S 2 by coordinate permutation, and the quotient space (S 2×S 2×S 2)/S3 is homeomorphic to the complex projective space CP 3.In this paper.
The aim of this paper is to study quasi-rational polygon related to outer billiard. We give a new characterisation of this class of polygons,and characterize the quasi-rational quadrilaterals.
In this paper, we show that the Chvatal-Gomory closure of a compact convex set is a rational polytope. This resolves an open question discussed in Schrijver [Schrijver 80'] and generalizes the same r...
Exponential stabilization without geometric control
Exponential stabilization geometric control
2010/11/12
We present examples of exponential stabilization for the damped wave equation on a compact manifold in situations where the geometric control condition is not satisfied. This follows from a dynamical ...
Lectures on Holomorphic Curves in Symplectic and Contact Geometry
Holomorphic Curves Symplectic Contact Geometry
2010/11/12
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incom...
Geometrization of postcritically finite branched coverings
Geometrization postcritically finite branched coverings
2010/11/15
We study canonical decompositions of postcritically finite branched coverings of the 2-sphere, as defined by K.~Pilgrim. We show that every hyperbolic cycle in the decomposition does not have a Thurst...
Simultaneous Bisections of Measures by Orthogonal Hyperplanes
Simultaneous Bisections Orthogonal Hyperplanes
2010/11/15
Given [n/d] finite Borel measures on R^n, d = 1, 2, 4, or 8, it is shown that there exist d mutually orthogonal hyperplanes which bisect each measure, corresponding to the classical algebras R, C, H,...
Some (non-)elimination results for curves in geometric structures
Some (non-)elimination results curves geometric structures
2010/11/17
Chevaley-Tarski theorem insures that the projection of a constructible set of $\C ^n$ is also a constructible set. In this note we prove that the projection of a finite boolean combination of algebra...
块H-矩阵的判定及其逆的无穷大范数的上界
块对角占优矩阵 块H-矩阵 矩阵无穷大范数
2012/11/6
给出了块H-矩阵A的一个判定条件,并利用其获得了A的逆矩阵的无穷大范数||A-1||∞上界的一个新的估计式,数值算例表明所得结论是有效的.
We introduce a novel and general approach for digitalization of line segments in the plane that satis es a set of axioms naturally arising from Euclidean axioms. In particular,we show how to derive su...
The inclusion relation between Sobolev and modulation spaces
inclusion relation Sobolev modulation spaces
2010/11/30
The inclusion relations between the Lp-Sobolev spaces and the modulation spaces is determined explicitly. As an application,mapping properties of unimodular Fourier multiplier ei|D|
between Lp-Sobol...
Fluctuations arise universally in Nature as a re ection of the discrete microscopic world at the macroscopic level. Despite their apparent noisy origin, uctuations encode fundamental aspects of the ph...
Betti numbers of edge ideals of uniform hypergraphs
Betti number hypergraph Hilbert function Stanley-Reisner ring
2010/11/29
We describe the Betti numbers of the edge ideals I(G) of uniform hypergraphs G such that I(G) has linear graded free resolution.
Twisted acyclicity of a circle and link signatures
Twisted acyclicity of a circle link signatures
2010/11/30
Homology of the circle with non-trivial local coefficients is trivial.From this well-known fact we deduce geometric corollaries concerning links of codimension two. In particular, the Murasugi-Tristra...