共查询到20条相似文献,搜索用时 15 毫秒
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C. M. Pareek 《Acta Mathematica Hungarica》2000,89(3):253-257
It is proved that in a T
3 space countable closed sets have countable character if and only if the set of limit point of the space is a countable compact set and every compact set is of countable character. Also, it is shown that spaces where countable sets have countable character are WN-spaces and are very close to M-spaces. Finally, some questions of Dai and Lia are discussed and some questions are proposed. 相似文献
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Generating Countable Sets of Permutations 总被引:2,自引:0,他引:2
Let E be an infinite set. In answer to a question of Wagon,I show that every countable subset of the symmetric group Sym(E)is contained in a 2-generator subgroup of Sym(E). In answerto a question of Macpherson and Neumann, I show that, if Sym(E)is generated by A B where |B| ||E||, then Sym(E) is generatedby A {} for some permutation in Sym(E). 相似文献
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In this paper, we consider vector variational inequalities with set-valued mappings over countable product sets in a real Banach space setting. By employing concepts of relative pseudomonotonicity, we establish several existence results for generalized vector variational inequalities and for systems of generalized vector variational inequalities. These results strengthen previous existence results which were based on the usual monotonicity type assumptions 相似文献
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In this paper, we consider vector variational inequalities with set-valued mappings over countable product sets in a real Banach space setting. By employing concepts of relative pseudomonotonicity, we establish several existence results for generalized vector variational inequalities and for systems of generalized vector variational inequalities. These results strengthen previous existence results which were based on the usual monotonicity type assumptions 相似文献
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Fuzzy集的势与可数Fuzzy基数 总被引:2,自引:0,他引:2
本文首先定义了Fuzzy集的等势关系和Fuzzy集的势,并讨论了有关Fuzzy集的势的若干命题,然后在自然数集上定义了可数Fuzzy基数。最后给出了确定可数论域上Fuzzy集的Fuzzy基数的方法,并对其若干性质进行了讨论。上述定义均以经典集论中相应定义为特款。 相似文献
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Norbert Polat 《Czechoslovak Mathematical Journal》2001,51(1):45-53
We prove that a countable connected graph has an end-faithful spanning tree that contains a prescribed set of rays whenever this set is countable, and we show that this solution is, in a certain sense, the best possible. This improves a result of Hahn and Siran [2, Theorem 1] 相似文献
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Conical Uniqueness Sets for the Spherical Radon Transform 总被引:1,自引:0,他引:1
Agranovsky M. L.; Volchkov V. V.; Zalcman L. A. 《Bulletin London Mathematical Society》1999,31(2):231-236
Let K be a cone in Rn. Then K is a uniqueness set for the sphericalRadon transform if and only if it is not contained in the zeroset of any (nontrivial) homogeneous harmonic polynomial. A localversion of this result is also proved. 1991 Mathematics SubjectClassification 44A12. 相似文献
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It is proved that the C-core of a chain-complete ordered set is unique up to isomorphism if it exists. We also give an example that shows that the (U
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C)-core of an ordered set need not be unique. This is related to a question, which asks if the P-core is unique if it exists. 相似文献
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M. Zhle 《Mathematische Nachrichten》1984,119(1):327-339
The paper deals with signed curvature measures as introduced by Federer for sets with positive reach. An integral representation and a local Steiner formula for these measures are given. The main result is the additive extension of the curvature measures to locally finite unions of compatible sets with positive reach. Within this comprehensive class of subsets of Rd a generalized Steiner polynomial (local version) and section theorems (principal kinematic formula, Crofton formula) for the curvature measures are derived. 相似文献
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设犡是一完备可分度量空间,犓(ω)为Graf随机模型下的随机递归集.该文构造了一列随机不变测度μ狀(狀≥1),它们是Hutchinson确定模型下不变测度的推广;证明了存在一随机概率测度μ ,使得Suppμ =犓(ω)且μ狀→μ (狀→∞)(弱收敛);得到了μ狀的一些局部性质. 相似文献
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利用Mann迭代技巧,讨论了一类随机算子方程A(ω,x(ω),x(ω))=B(ω,x(ω))的随机解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广. 相似文献
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We study a class of random variational inequalities on random sets and give measurability, existence, and uniqueness results in a Hilbert space setting. In the special case where the random and the deterministic variables are separated, we present a discretization technique based on averaging and truncation, prove a Mosco convergence result for the feasible random set, and establish norm convergence of the approximation procedure. 相似文献
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具有两个IM公共值集的亚纯函数 总被引:4,自引:0,他引:4
本文讨论了亚纯函数的唯一性问题,证明了存在一个具有13个元素的集合S使得对任意两个非常数的亚纯函数f与g,只要满足E(S,f)=E(S,g)和E({∞),f)=E({∞},g),必有f≡g. 相似文献
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《复变函数与椭圆型方程》2012,57(4):315-327
In this article, we deal with the problem of uniqueness of meromorphic functions that share three sets, and obtain one set S with 5 elements such that any two nonconstant meromorphic functions ? and g satisfying E(S, ?) = E(S, g), E({0}, ?) = E({0}, g) and E({∞}, ?) = E({∞}, g) must be identical. 相似文献
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利用函数S-粗集理论和属性函数迁移的随机性,提出属性函数迁移的信度及信度函数的概念;给出变异函数Sp-粗集与变异函数S(p,p')-粗集的随机生成,讨论了变异函数Sp-粗集与变异函数S(p,p')-粗集的结构及特性. 相似文献
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Shu-jin Wu Xiao-lin Guo Song-qing Lin 《应用数学学报(英文版)》2006,22(4):627-632
The existence and uniqueness in mean square of solutions to certain random impulsive differentialsystems is discussed in this paper.Cauchy-Schwarz inequality,Lipschtiz condition and techniques in stochasticanalysis are employed in achieve the desired results. 相似文献