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单词 Complete space
释义

Complete space

原声例句
VOA Special 2021年6月合集

They also plan to complete space walks and prepare the station to receive two other modules next year.

他们还计划完成太空行走,并为空间站明年接收另外两个太空舱做好准备。

精选英语短文

Tianhe, slightly bigger than a city bus, will be the living quarters once the space station is completed.

空间站建成后,天河将是比城市公交车稍大的生活区。

中文百科

完备空间 Complete metric space

(重定向自Complete space)

完备空间或者完备度量空间是具有下述性质的空间:空间中的任何柯西串行都收敛在该空间之内。

英语百科

Complete metric space 完备空间

(重定向自Complete space)

In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M.

Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary). For instance, the set of rational numbers is not complete, because e.g. 2 is "missing" from it, even though one can construct a Cauchy sequence of rational numbers that converges to it. (See the examples below.) It is always possible to "fill all the holes", leading to the completion of a given space, as explained below.

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