V2EX nth

Nth

Definition / 释义

nth:表示“第 n 个/第 n 次/第 n 项”,其中 n 代表任意整数(常用于数学、科学与技术语境)。也可泛指“无数次中的某一次;到令人厌烦的程度”(较口语)。

Pronunciation / 发音

/nθ/

Examples / 例句

This is the nth time you’ve asked me that.
这是你第 n 次问我这个问题了。

Let \(a_n\) denote the nth term of the sequence, and compute its limit as \(n\) approaches infinity.
令 \(a_n\) 表示该数列的第 n 项,并求当 \(n\) 趋于无穷大时它的极限。

Etymology / 词源

nth 来自字母 n(常用作变量)加上英语序数后缀 -th(如 fourth, fifth),表示“第 n 个”。它多见于数学记号与技术写作中,用来避免反复改写具体数字。

Related Words / 相关词

Literary Works / 文学作品与著作例证

  • The Art of Computer Programming(Donald E. Knuth)大量使用 “nth” 描述第 n 个元素、项与步骤。
  • Introduction to Algorithms(Cormen, Leiserson, Rivest, Stein)常见于算法分析与伪代码中,如 “the nth element”。
  • Concrete Mathematics(Graham, Knuth, Patashnik)在离散数学与求和/数列语境中频繁出现。
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