The lexicographical order on the Cartesian product of a set of totally ordered sets indexed by an ordinal, is itself a total order.

在用一个序数索引的那些全序集合的笛卡尔积的一个集合上的词典序自身是全序。

youdao

MGC-MA mainly consists of a mobile group membership management protocol and a mobile group totally ordered reliable multicast protocol.

MA主要由移动组的组成员管理协议和移动组的全序可靠多播协议组成。

youdao

For example, versions are required to be totally ordered, but there doesn't appear to be a consistent versioning scheme such as Semantic versioning.

比如说，要求版本完全有序，但似乎还没有像Semantic Versioning这样一致的版本化方法。

youdao

So the integers are totally ordered the reals are totally ordered lots of things are, the rationals are totally ordered.

对正数来说,这样的序列是排好序的,对实数也是如此,对很多事情都是如此。

麻省理工公开课 - 计算机科学及编程导论课程节选

The line is totally ordered. And what that means, is that anything here is smaller than anything to its right.

这个线性区间是有序的,也就是说两者相比,大的在小的的右边。

麻省理工公开课 - 计算机科学及编程导论课程节选

Some commentators on Mr Thom's work question whether the momentous events of history can really be called catastrophes, using the word in the sense that they were totally unexpected interruptions of an ordered existence.

ECONOMIST: Ren�� Thom

Mrs Hatton, who is adamant she will not pay the fee until ordered to do so by a tribunal, called the fine "totally unreasonable" and said the council was "supercilious".

BBC: Essex