1) weakly-well-ordered set
弱整序集
2) semi well ordered set
半整序集
1.
A concept on well ordered set is generalized to semi well ordered set,which contains positive integer ordered set,negative integer ordered set,integer ordered set,well ordered set and extensional well ordered set.
将整序集推广至包括正整数序集、负整数序集、整数序集、整序集、泛整序集的半整序集，给出了序集Ｗ为半整序集的充要条件。
3) well ordered set
整序集
1.
The present paper describes the extension of Zermelo theorem on well ordered set to on weakly well ordered set and gives some further results and the application on those results.
将整序集上的Ｚｅｒｍｅｌｏ定理推广到弱整序集上，并给出若干结果及应用实
2.
A concept on well ordered set is generalized to semi well ordered set,which contains positive integer ordered set,negative integer ordered set,integer ordered set,well ordered set and extensional well ordered set.
将整序集推广至包括正整数序集、负整数序集、整数序集、整序集、泛整序集的半整序集，给出了序集Ｗ为半整序集的充要条件。
4) well-ordered set
整序集
1.
Some theorems on semi-well-ordered set are given as follows- An ordered set is semi-wellordered set if and only if its every no-null initial has the form A(x0) or A[x0].
给出了序集W为半整序集的充要条件是W的非空真前段有形A（x0）及A［x0］。
2.
We generalized some main theorems and the transfinite induction of the well--ordered sets to the weakly--well-ordered sets so as to get extensive application of transfinite induction.
将整序集上的若干主要定理和超穹归纳法推广到弱整序集上，使得超穹归纳法得到更为广泛的应用。
5) ordered set of integer
有序整数集
6) set of sequences of integers
整数序列集
补充资料：《集王书圣教序》册(宋拓本)(Ji Wangshu Shengjiaoxu Ce
中国唐代集摹王羲之字而成的《圣教序》碑宋拓善本。剪条装，共 55页，每页 4行。纵 24厘米，横25厘米。唐李世民父子皆重王羲之书法，影响社会成为风气。《圣教序》碑就是在此背景下由长安弘福寺僧怀仁受诸寺委托，借内府王羲之书迹，铢积寸累，历时24年集摹而成的。怀仁对于书学的深厚造诣和严谨态度，使点画气势，起落转侧，维妙维肖，位置天然，章法秩理，平和简静。
此碑 6行"纷纠"的"纷"字中笔可见，15行"圣慈所被"的"慈"字未损，为北宋时拓。此册为朱翼盦旧藏，有王世懋、朱翼盦题跋并鉴藏印多方。现藏故宫博物院。
《圣教序》碑于咸亨三年(672)十一月立于长安(今陕西省西安市)，今存西安碑林。
此碑 6行"纷纠"的"纷"字中笔可见，15行"圣慈所被"的"慈"字未损，为北宋时拓。此册为朱翼盦旧藏，有王世懋、朱翼盦题跋并鉴藏印多方。现藏故宫博物院。
《圣教序》碑于咸亨三年(672)十一月立于长安(今陕西省西安市)，今存西安碑林。
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