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1.Finite rank operators in additive subgroup of CSL algebras.
CSL代数加子群中的有限秩算子收藏指正
2.The structure of the torsion-free Abelian group with finite rank
具有有限秩的无扭阿贝尔群的结构收藏指正
3.We investigate the relations between certain bases and quasi-bases, prove that a space has finite rank base if and only if it has finite rank quasi-base, a space has an ortho-base if and only if it has an ortho-quasi-base.
摘要我们研究了某些基与拟基的关系，证明了空间具有有限秩的基当且仅当它有有限秩的拟基，空间具有正交基当且仅当它有正交的拟基。收藏指正
4.Let L be a CSL on H, introduce the concept of property P and obtain two main results: (a) Suppose G is an additive subgroup having the property P and F ∈G is a finite rank operator which can be written as a finite sum of rank one operators in AlgL. Then it can be written as a finite sum of rank one operators in the Ringrose ideal R (L).
设L是Hilbert空间H上的一个交换子空间格(简记为CSL),引进了性质P并得到两个主要结果:(a)若G是一个具有性质P的加群,F∈G是一个可写作AlgL中有限个秩一算子之和的有限秩算子,那么,它一定可写作Ringrose理想R(L)中有限个秩一算子的和.收藏指正
5.Abstract: We investigate the relations between certain bases and quasi-bases,prove that a space has finite rank base if and only if it has finite rank quasi-base,a space has an ortho-base if and only if it has an ortho-quasi-base.
文摘:我们研究了某些基与拟基的关系,证明了空间具有有限秩的基当且仅当它有有限秩的拟基,空间具有正交基当且仅当它有正交的拟基.收藏指正
6.(b) Suppose M? Alg L is a left (right) (L″)- module with property P. Then all finite rank operators in M are contained in ?? R ?1 (L) ???‖·‖?1 ,where R?1 (L) is the algebra generated by all rank one operators in the Ringrose ideal R (L), and ‖·‖?1 is the trace norm.
(b)设M AlgL是一个具有性质P的左(右)(L)″-模,则M中的所有有限秩算子都包含在R1(L)‖·‖1,其中R1(L)代表由Ringrose理想中所有秩一算子生成的代数,‖·‖1是迹范数.收藏指正
7.Admissibility of linear prediction in finite populations with arbitrary rank under matrix loss is investigated. Necessary and sufficient conditions for a linear prediction Lys(Lys +α) of Qy to be admissible are obtained.
在矩阵损失下研究了任意秩有限总体中线性预测的可容许性,得到了线性预测Lys(Lys+α) 是可容许线性预测的充要条件.收藏指正
8.This paper discusses a method of selecting the boundary tree in edge finite element method, proposes the matrix rank method and introduces its applications.
介绍了棱边有限元法中选取边界树的原理和方法，提出了矩阵求秩法计算边界树，并结合实例说明其有效性．收藏指正
9.This paper deals with degenerate mappings of finite distortion,in which the rank of n×n-matrix Df(x) is l:1≤l
刻化了一类退化的有限伸张映射,其n×n阶Jacobi矩阵的秩为l:1≤l收藏指正
10.As early as in 1965, Wan Zhe-xian constructed a class of association schemes using all n x n Hermitian matrices over a finite field Fq2 by setting (A, B) Ri iff rank(A-B)=i for any two nxn Hermitian matrices A and B, where n is a given natural number.
早在1965年，万哲先先生就利用有限域F_(q~2)上所有n×n埃尔米特矩阵构作了一类结合方案[1]：对任意两个n×n埃尔米特矩阵A和B，规定(A，B)∈R_i当且仅当rank(A-B)=i，而且计算了n=2时此结合方案的的参数。收藏指正
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