无穷

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

在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.

在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。

Nest algebra is an important class of non-selfadjoint reflexive operator algebras, which is the natural generalization of upper triangular matrix algebra in infinite dimensional space.

中文摘要：套代数是一类重要的非自伴、自反算子代数，它是上三角矩阵代数在无穷维空间上的自然推广。

The stars ray, as if can shine place of the infinite distance.

星辰的光芒，似乎能照射无穷远之处。

This article deals with problems of extreme value of tribasic and dual functions in the cases of infinite stationary point ,offers a determined approach to extreme value,and,with it,gives a proof of several inequalities.

讨论了多元函数在有无穷多个驻点的情况下的极值问题，给出了极值的判定方法，并用来证明一些不等式。

A line considered a limit to a curve in the sense that the perpendicular distance from a moving point on the curve to the line approaches zero as the point moves an infinite distance from the origin.

渐近线与曲线极限相关的一条直线，当曲线上某动点沿该曲线的一个分支移向无穷远时，动点到该直线的垂直距离趋于零

The zeta function of Euler and Riemann, expressed as an infinite series and a curious product over all primes.

该zeta函数的欧拉和黎曼，表达了作为一个无穷级数和好奇的产品超过所有素数。

This paper discusses how to teach students"the product of infinite infinitesimals isn t necessarily infinitesimal" in teaching "advanced mathematics" Or "Mathematical Analysis",and the author provides some new original examples which had not been seen in currently available textbook and riches the teaching content.

文章对"无穷多个无穷小的乘积不一定是无穷小"这一知识点在"高等数学"或"数学分析"的教学中如何讲授给学生进行了一些有益的探讨，并给出了一些在现有教科书及参考书中未曾见过的独创的新例子，从而丰富了教学内容。

By means of infinite product of evenly distributed probability spaces,the concept of truth degrees of propositions in 3-valued logic systems W_3,G_3,Π_3 and S_3 are introduced,and some properties of distribution of propositional truth degree and certain inference rules are obtained.

利用势为3的均匀概率空间的无穷乘积在W3、G3、Π3及S3系统中引入了公式的真度概念，得到了命题真度分布的一些性质，同时给出了三值真度推理规则。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。