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无穷矩阵 的英文翻译、例句

无穷矩阵

词组短语
infinite matrix
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At first, it presents a survey of the studyhistory as well as present situation in the λ-multiplier convergent series,invariant, infinite matrix algebras, Schur-matrices and p-uniform Toeplitzmatrices and the Eberlein-Smulian theorem, etc.

本文共5章。首先回顾了〓数乘收敛级数、不变性、无穷矩阵代数、Schur—矩阵与p-一致Toeplitz矩阵以及Eberlein-Smulian定理等的研究历史和现状。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性,〓数乘收敛级数的全程不变性,有基空间中的〓数乘收敛级数,无穷矩阵拓扑代数〓中的紧集,〓在不同拓扑下具有相同紧集的刻划,〓的弱序列完备性,Schur—矩阵的刻划,p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

At first,it presents a survey of over 80 years'study of the infinite matrix theory and the study history as well as present situation in thespace structure theory related to this paper.

首先回顾了无穷矩阵理论研究80多年来的主要阶段、主要成果以及空间结构理论中与本文相关联方面的研究历史和现状。

On the infinite matrix transformations and convergence,first,it presents an equiva-lent form of the famous Antosik-Mikusinski basic matrix theorem.

无穷矩阵变换与收敛方面,首先指出著名的Antosik-Mikusinski基本矩阵定理的一个等价形式。

On the characterizations of spaces by the infinite matrix methods,let E be a topo-logical vector space,if for each 〓 and 〓,there is a sequence 〓 in A suchthat 〓.Then E is said to be a sequential topological vector space.

无穷矩阵方法对空间的刻划方面,设E是一个拓扑向量空间,若对每个〓一定存在A中序列〓使得〓,那么称E是一个序列型拓扑向量空间。

By using theconvergence properties of infinite matrix in E and the sequentially open sets notion,it pr-esents a criterion for the sequential topological vector spaces.

本文首先借助于E中无穷矩阵的收敛性态及序列开集概念给出了E是序列型空间的刻划。

For the analysis properties of infinite matrix,first,it establishes the automatic conti-nuity theorems on the sequence spaces with 0-GHP or WGHP,and the automaticboundedness theorem on the sequence spaces with 0-GHP.

无穷矩阵的分析性质方面,建立了具有0-GHP或具有WGHP的矢值序列空间上无穷矩阵算子的自连续性定理,以及具有0-GHP矢值序列空间上无穷矩阵算子的自有界性定理。

It investigates mainly infinite matrix conver-gence、infinite matrix transformations、the automatic continuity and boundedness of infinitematrix operators、infinite matrix topological algebras、invariant theory、infinite matrix meth-ods、compact operators series and Eberlein-Smulian theorem,etc.

主要研究了无穷矩阵收敛、无穷矩阵变换、无穷矩阵算子的自连续性和自有界性、无穷矩阵拓扑代数、不变性理论、无穷矩阵方法、紧算子级数与Eberlein-Smulian定理等。

Then,it notices that all infi-nite matrix operators between the sequence spaces with the WGHP may form a topologicalalgebra.It also studies the weak sequentially completeness of this class of topological al-gebras and some other basic properties.

其次发现了具有WGHP序列空间上无穷矩阵算子所成之拓扑代数,并研究了这类无穷矩阵拓扑代数的弱序列完备性等一些基本性质。

Then,it introduces theabstract 〓-WGHP and finitely quasi 〓-families and establishes two basic convergencetheorems on them.

其次引进了具有〓的抽象序列族以及抽象的有限拟〓族,并建立了其上无穷矩阵收敛的等价条件。

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plane homography:相关词的翻译

plane homography的翻译: | plane homography相关词的翻译: | 无穷远平面单应性矩阵:Homography matrix of the plane at infinity

the infinite homography:无穷远平面单应矩阵

平面:Plane | 无穷远平面单应矩阵:the infinite homography | 面接触:plane contact

infinite matrix:无穷矩阵

infinite mass 无限质量 | infinite matrix 无穷矩阵 | infinite membrane 无限大膜

theory of infinite series:无理数论

12136,"theory of groups","无穷级数论" | 12137,"theory of infinite series","无理数论" | 12138,"theory of irrational numbers","矩阵论"

theory of irrational numbers:无理数论

无穷级数论 theory of infinite series | 无理数论 theory of irrational numbers | 矩阵论 theory of matrices