1) Inlfinite cluster
无穷串
2) infinite cluster
无穷开串
3) Uniqueness of infinite cluster
无穷开串的唯一性
4) Infinity
[英][ɪn'fɪnəti] [美][ɪn'fɪnətɪ]
无穷
1.
Does the Largest Natural Number Exist?——A new method in infinity theory to eliminate the paradox of transfinite numbers(2)
存在最大的自然数吗?——排除超限数悖论,无穷理论的新方案(2)
2.
Second all the problems and paradoxes related to infinitesimal,infinitely great and infinity concepts in the classical infinite theory are.
从新构建的基础理论学的角度,用全新的基础理论学的方法[1],在两个层面上揭示了经典无穷理论体系(无穷观)中所存在的三个本质性缺陷,得到明确的结论:1。
5) Infinitude
[英][in'finitju:d] [美][ɪn'fɪnətjud]
无穷
1.
The Puzzling of Infinitude and Precise Definition of Limit;
“无穷”的困扰与“极限”的精确定义(英文)
2.
The perfectibility of the definition about the infinitude in mathematics was analyzed firstly in this paper.
本文首先分析了无穷的数学定义存在的问题,给出了中国传统哲学之物极必反的数学表达。
6) infinite
[英]['ɪnfɪnət] [美]['ɪnfənət]
无穷
1.
Eastern and western series in Qingtimes is comparatively studied and the opinions are that the eastern traditional mathematics,different from westerns,are lack of the characteristic that distinguish from science,so the eastern and the western conception of infinite made different progress.
比较了近代东西方的级数论工作,认为中算与和算没有西算那种区别于科学的特性,所以无穷的概念在东西方的进化方式不同。
2.
Ancient Chinese mathematicians had tried to extend them as for as infinite arithmetic,but the result turned out to be a set of formal operations corresponding to polynomial theory.
中算家试图将它们扩张为无穷的算术 ,从而发展出了一套与多项式理论相应的形式运算 。
3.
This paper,we generalize definition of recurring constant,and discuss the line integrals of a function on non-simply connected region with infinite number of holes.
本文广义地定义了循环常数，并对含有无穷多个“洞”的非单连通域上的曲线积分进行了讨论。
补充资料：弱无穷维空间
弱无穷维空间
weakly infinite-dimensional space
弱无穷维空间〔we刹y词训te~‘n犯‘田‘匆，ce;cJIa606ec劝。e，。oMepooen一ocTpaHc，」 一个拓扑空间(topologjcal sPace)X，使得对其闭子集偶对的任意无穷系(A，，B‘)， A，自B，=沪，i=1，2，…，存在(A与B;之间的)分划(Partition)C，，满足自c=必.不是弱无穷维的无穷维空间称为强无穷维(strongly inl训te dinle比ional)空间.弱无穷维空间也称为A弱无穷维(A一weakly沉肋ited由℃nsional)空间.若在上述定义中，进一步要求c，的某有限子族有空的交集，就得出S弱无穷维空间(S一weak】y顾-nite .dinlensio耐sPace)的概念.【补注】除上述外，A弱就是AneKcaHJIpoB弱(Akk-san山{。vweakly)，S弱就是CM即HoB弱(Snurnovweakly).还有一种已经弃之不用的概念Hurewicz弱无穷维空间(Hurewicz一wea脚infin讹一山住r朋io耐space)，见综述[AI]， 为避免“无穷维空间”这个词的混乱，空间X要求可度量化，见【A2].
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条