V2EX subsequence

Subsequences

释义 Definition

subsequence(子序列):从一个序列中按原有先后顺序选取部分元素(可跳过一些元素)所形成的新序列。常用于数学(分析、拓扑、离散数学)与计算机科学语境。日常语境中也可泛指“后续出现的一段序列/后续部分”,但最常见的是数学义。

发音 Pronunciation (IPA)

/sbskwns/

例句 Examples

We can choose a subsequence from this list.
我们可以从这个列表中选取一个子序列。

Every bounded sequence has a convergent subsequence.
每个有界序列都存在一个收敛子序列。

词源 Etymology

由 **sub-**(“在下、次级、部分”)+ sequence(“序列;先后顺序”)构成。sequence 源自拉丁语 sequī(“跟随”),因此 subsequence 字面含义可理解为“从序列中跟随原顺序取出的一部分”。

相关词 Related Words

文献与作品 Literary/Notable Works

(该词多见于数学与计算机科学的经典教材与论文中,属于较强的学术用语。常见出处例如:)

  • Walter Rudin, Principles of Mathematical Analysis(常用于讨论“收敛子序列”等概念)
  • Terence Tao, Analysis I / Analysis II(涉及序列、极限与子序列的论述)
  • Robert G. Bartle & Donald R. Sherbert, Introduction to Real Analysis(用“subsequence”建立紧致性与收敛相关结论)
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