共查询到20条相似文献,搜索用时 10 毫秒
1.
In this paper, we investigate flows on discrete curves in , and . A novel interpretation of the one-dimensional Toda lattice hierarchy and reductions thereof as flows on discrete curves are given. 相似文献
3.
Peter M. Gruber 《Monatshefte für Mathematik》2002,153(6):279-304
We estimate the error of asymptotic formulae for volume approximation of sufficiently differentiable convex bodies by circumscribed convex polytopes as the number of facets tends to infinity. Similar estimates hold for approximation with inscribed and general polytopes and for vertices instead of facets. Our result is then applied to estimate the minimum isoperimetric quotient of convex polytopes as the number of facets tends to infinity. 相似文献
4.
本文讨论中约化子空间上的仿射(伪仿射)对偶小波标架.我们建立了仿射系与伪仿射系之间的一个标架 和对偶标架保持定理,并且在没有任何衰减性假设的条件下获得了仿射(伪仿射)对偶小波标架在傅立叶域上的一个刻画.进一步, 我们也给出了仿射Parseval标架在傅立叶域上的刻画.
相似文献
5.
Friedrich Pillichshammer 《Monatshefte für Mathematik》2002,186(2):67-79
We give a formula for the -discrepancy of the 2-dimensional Hammersley point set in base 2 for all integers p, . 相似文献
6.
7.
通过一个例子说明在[3]中定理2.2的证明中用到的一个结论是错误的,并给出该定理的一种正确证明。 相似文献
8.
In this paper we show that shifts of finite type satisfying a strong topological mixing property are universal models for ergodic measure preserving dynamical systems. 相似文献
9.
The complex two-plane Grassmannian carries a K?hler structure J and also a quaternionic K?hler structure ?. For we consider the classes of connected real hypersurfaces (M, g) with normal bundle such that and are invariant under the action of the shape operator. We prove that the corresponding unit Hopf vector fields on these hypersurfaces always define minimal immersions of (M, g), and harmonic maps from (M, g), into the unit tangent sphere bundle with Sasaki metric . The radial unit vector fields corresponding to the tubular hypersurfaces are also minimal and harmonic. Similar results hold for the dual space . 相似文献
10.
设R和S是环,U是平坦右R-模,V是平坦右S-模.本中我们证明了(N,(U,V))-lc.dim(R S)=sup((N,U)-lc.dimR,(N,V)-lc.dimS). 相似文献
11.
给出(S↑-)模糊积分的定义,讨论其基本性质。当模糊测度μ满足(T)条件(见命题3.3)时,可以得到,(S↑-)模糊积分的p次(S↑-)模糊可积函数空间Lp(p≥1)是实数域R上的线性空间,且当μ次可加时,Lp(p≥1)在相应的距离ρp(定义4.3)下,(Lp,ρp)构成一完备的距离空间。 相似文献
12.
13.
14.
15.
In this article.a normalized biholomorphic mapping f defined on bounded starlike circular domain in C″is considered,where z=0 is a zero of order k 1 of f(z)(?) The sharp growth.covering theorems for almost starlike mappings of order a and starlile mappings of order wave established.Meanwhile,the construction of the above mappings on bounded starlike circular domain in C~n is also discussed,it provides the extremal mappings for the growth,covering theorems of the above mappings. 相似文献
16.
17.
Maurice Queyranne Maxim Sviridenko 《Journal of Algorithms in Cognition, Informatics and Logic》2002,45(2):111
In this paper we consider a generalized version of the classical preemptive open shop problem with sum of weighted job completion times objective. The main result is a (2+)-approximation algorithm for this problem. In the last section we also discuss the possibility of improving our algorithm. 相似文献
18.
Mirela Damian-Iordache Sriram V. Pemmaraju 《Journal of Algorithms in Cognition, Informatics and Logic》2002,42(2):255
The main result of this paper is a (2 + )-approximation scheme for the minimum dominating set problem on circle graphs. We first present an O(n2) time 8-approximation algorithm for this problem and then extend it to an
time (2 + )-approximation scheme for this problem. Here n and m are the number of vertices and the number of edges of the circle graph. We then present simple modifications to this algorithm that yield (3 + )-approximation schemes for the minimum connected and the minimum total dominating set problems on circle graphs. Keil (1993, Discrete Appl. Math.42, 51–63) shows that these problems are NP-complete for circle graphs and leaves open the problem of devising approximation algorithms for them. These are the first O(1)-approximation algorithms for domination problems on circle graphs. 相似文献
19.
讨论了Cn单位球上的向量值Dpμ,q函数,
利用Banach空间几何学的方法,推广了标量值Dpμ,q函数的结果. 相似文献
20.
H. Y. Zhou 《Applied Mathematics Letters》2001,14(8):13
Let X be an arbitrary Banach space, K be a nonempty closed convex subset of X, and T : K → K be a Lipschitzian and hemicontractive mapping with the property lim inft→∞((t)/t) > 0. It is shown that the Ishikawa iteration procedures are weakly T-stable. As consequences, several related results deal with the weak stability of these procedures for the iteration proximation of solutions of nonlinear equations involving accretive operators. Our results improve and extend those corresponding results announced by Osilike. 相似文献