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概率权矩法样本统计量的代数界 被引量:2
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作者 李松仕 宋德敦 《水利学报》 EI CSCD 北大核心 1994年第7期78-84,共7页
本文对概率权矩法样本统计量的代数界进行了详细的研究.结果表明:概率权矩法样本统计量Cv、Cs的代数界,与分布的线型以及采用的不同样本矩公式有关.就P-Ⅲ型分布而言,应用无偏样本矩公式,Cv与Cs均不存在代数界.文中所... 本文对概率权矩法样本统计量的代数界进行了详细的研究.结果表明:概率权矩法样本统计量Cv、Cs的代数界,与分布的线型以及采用的不同样本矩公式有关.就P-Ⅲ型分布而言,应用无偏样本矩公式,Cv与Cs均不存在代数界.文中所建立的分析方法同样适用于其它分布类型. 展开更多
关键词 概率权矩法 样本 计量 代数界
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代数数根界的一个有效算法及其实现 被引量:1
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作者 向晓林 《计算机应用》 CSCD 北大核心 2001年第10期27-29,共3页
得出了代数数根界的一个基于结式的有效实现算法 ,并且已用计算机代数系统MAPLE在微机上实现。用这种新的实现算法 ,计算了文献 [1,7]中的几个代数表达式的根界。数值结果表明 ,它比Scheinerman在文献 [1]中所给出的根界以及BFMS界[2 ]
关键词 构造性 算法 代数数根 计算机
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The Multiplier Algebra of a Ternary Algebra 被引量:1
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作者 许天周 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第2期6-11,共6页
In this article, we have given the definition of the relative double multiplier (quasi-multiplier) on a ternary algebra,and studied the isomorphic problem of the multiplier algebra M(A,e) of a ternary algerbra A.
关键词 multiplier algebra ternary algebra relative arens product
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Remarks on the lower bounds for sums of the BDH type
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作者 刘弘泉 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2006年第3期333-336,共4页
This paper will correct some gaps existing in the proof of a theorem written in an earlier paper by the author on the lower bounds for sums of BDH type published in 1993. Some improvements upon the previous version of... This paper will correct some gaps existing in the proof of a theorem written in an earlier paper by the author on the lower bounds for sums of BDH type published in 1993. Some improvements upon the previous version of that theorem will be obtained. 展开更多
关键词 BDH type sums lower bounds large sieve
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Extreme points of norm closed nest algebra modules
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作者 董浙 《Journal of Zhejiang University Science》 CSCD 2004年第7期759-763,共5页
Suppose that U is a norm closed nest algebra module. Using the characterization of rank one operators in U⊥, a complete description of the extreme points of the unit ball U1 is given.
关键词 Extreme point Nest algebra module Rank one operator
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On the Product and Factorization of Lattice Implication Algebras
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作者 秦克云 宋振明 徐扬 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第4期53-57,共5页
In this paper,the concepts of product and factorization of lattice implication algebra are proposed,the relation between lattice implication product algebra and its factors and some properties of lattice implication p... In this paper,the concepts of product and factorization of lattice implication algebra are proposed,the relation between lattice implication product algebra and its factors and some properties of lattice implication product algebras are discussed. 展开更多
关键词 lattice implication algebra lattice implication product algebra FACTORIZATION
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IDEAL STRUCTURE OF UNIFORM ROE ALGEBRAS OVER SIMPLE CORES 被引量:3
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作者 CHENXIAOMAN WANGQIN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第2期225-232,共8页
This paper characterizes ideal structure of the uniform Roe algebra B*(X) over simple cores X. A necessary and sufficient condition for a principal ideal of B*(X) to be spatial is given and an example of non-spatial i... This paper characterizes ideal structure of the uniform Roe algebra B*(X) over simple cores X. A necessary and sufficient condition for a principal ideal of B*(X) to be spatial is given and an example of non-spatial ideal of B*(X) is constructed. By establishing an one-one correspondence between the ideals of B* (X) and the ω-filters on X, the maximal ideals of B*(X) are completely described by the corona of the Stone-Cech compactification of X. 展开更多
关键词 Uniform Roe algebra Simple core Ideal ULTRAFILTER Stone-Cech com-pactification
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Indecomposable modules of the intermediate series over W(a,b) 被引量:3
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作者 SU YuCai XU Ying YUE XiaoQing 《Science China Mathematics》 SCIE 2014年第2期275-291,共17页
For any complex parameters a and b,W(a,b)is the Lie algebra with basis{Li,Wi|i∈Z}and relations[Li,Lj]=(j i)Li+j,[Li,Wj]=(a+j+bi)Wi+j,[Wi,Wj]=0.In this paper,indecomposable modules of the intermediate series over W(a,... For any complex parameters a and b,W(a,b)is the Lie algebra with basis{Li,Wi|i∈Z}and relations[Li,Lj]=(j i)Li+j,[Li,Wj]=(a+j+bi)Wi+j,[Wi,Wj]=0.In this paper,indecomposable modules of the intermediate series over W(a,b)are classified.It is also proved that an irreducible Harish-Chandra W(a,b)-module is either a highest/lowest weight module or a uniformly bounded module.Furthermore,if a∈/Q,an irreducible weight W(a,b)-module is simply a Vir-module with trivial actions of Wk’s. 展开更多
关键词 the algebra W(a b) the Virasoro algebra modules of the intermediate series
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LOCAL SPECTRA OF UNILATERAL OPERATOR WEIGHTED SHIFTS
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作者 A.BOURHIM 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第3期369-382,共14页
In this note, the local spectral properties of unilateral operator weighted shifts are studied.
关键词 Operator weighted shifts Local spectrum Single-valued extension property Dunford's condition(C) Bishop's property (β)
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Relation between the E(5) symmetry and the interacting boson model beyond the mean-field approximation 被引量:1
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作者 ZHANG Yu LIU YuXin +1 位作者 HOU ZhanFeng SUN Yang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第2期227-230,共4页
In a unified algebraic scheme,we investigate the relation between the E(5) symmetry and the interacting boson model beyond the mean-field level.The results indicate that the E(5) symmetry is actually in between the cr... In a unified algebraic scheme,we investigate the relation between the E(5) symmetry and the interacting boson model beyond the mean-field level.The results indicate that the E(5) symmetry is actually in between the critical point of the U(5)-O(6) transition and the O(6) limit but it is fairly close to the former based on the phase diagram of the interacting boson model at the large boson number limit.In addition,an algebraic Hamiltonian of the E(5)-β2n model is proposed. 展开更多
关键词 quantum phase transition critical point E(5) symmetry nuclear structure
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Ideals in the Roe Algebras of Discrete Metric Spaces with Coefficients in B(H) 被引量:1
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作者 Yingjie HU Qin WANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第2期139-144,共6页
The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced. It is shown that, if X has Yu’s property A, the ideal structure of the Roe algebra of X with coeff... The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced. It is shown that, if X has Yu’s property A, the ideal structure of the Roe algebra of X with coefficients in B(H) is completely characterized by the ideal families of weighted subspaces of X, where B(H) denotes the C*-algebra of bounded linear operators on a separable Hilbert space H. 展开更多
关键词 Roe algebra IDEAL Metric space Coarse geometry Band-dominatedoperator
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Even factors with a bounded number of components in iterated line graphs
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作者 LV ShengMei XIONG LiMing 《Science China Mathematics》 SCIE CSCD 2017年第1期177-188,共12页
We consider even factors with a bounded number of components in the n-times iterated line graphs L^n(G). We present a characterization of a simple graph G such that L^n(G) has an even factor with at most k components,... We consider even factors with a bounded number of components in the n-times iterated line graphs L^n(G). We present a characterization of a simple graph G such that L^n(G) has an even factor with at most k components, based on the existence of a certain type of subgraphs in G. Moreover, we use this result to give some upper bounds for the minimum number of components of even factors in L^n(G) and also show that the minimum number of components of even factors in L^n(G) is stable under the closure operation on a claw-free graph G, which extends some known results. Our results show that it seems to be NP-hard to determine the minimum number of components of even factors of iterated line graphs. We also propose some problems for further research. 展开更多
关键词 even factor iterated line graph branch closure claw-free graph
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The lower and upper bounds of the degree distribution of a graded algebra
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作者 SI JunRu 《Science China Mathematics》 SCIE 2013年第5期983-994,共12页
For a graded algebra,the minimal projective resolution often reveals amounts of information.All generated degrees of modules in the minimal resolution of the trivial module form a sequence,which can be called the degr... For a graded algebra,the minimal projective resolution often reveals amounts of information.All generated degrees of modules in the minimal resolution of the trivial module form a sequence,which can be called the degree distribution of the algebra.We try to find lower and upper bounds of the degree distribution,introduce the notion of(s,t)-(homogeneous) determined algebras and construct such algebras with the aid of algebras with pure resolutions.In some cases,the Ext-algebra of an(s,t)-(homogeneous) determined algebra is finitely generated. 展开更多
关键词 d-Koszul algebra spectral sequence regular normal extension
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