V2EX binary search

Binary Search

定义 Definition

Binary search(双分查找/二分搜索):一种在已排序的数据集合中查找目标值的算法。它通过反复把搜索范围对半分,快速缩小可能位置;时间复杂度通常为 **O(log n)**。若数据未排序,一般需要先排序才能使用。(该术语也常指具体的“二分法查找过程”。)

发音 Pronunciation (IPA)

/banri st/

例句 Examples

Binary search finds a number quickly in a sorted list.
二分搜索能在已排序的列表中快速找到一个数字。

To optimize lookup time, the engineer implemented binary search over an array of timestamps, reducing the query from linear scanning to logarithmic time.
为了优化查找时间,工程师在一组时间戳数组上实现了二分搜索,将查询从线性扫描降低为对数时间。

词源 Etymology

binary 源自拉丁语 bīnī(“两两的、成对的”),在计算机语境中常引申为“二进制/二元”的;search 来自古法语 cerchier(“寻找、搜寻”)。合起来 binary search 字面意思就是“用二分(对半)的方式进行搜索”,强调每一步都把范围分成两半来查找。

相关词 Related Words

文学与著名作品 Literary Works

  • Donald E. Knuth The Art of Computer Programming, Volume 3: Sorting and Searching(系统讨论查找与排序算法,包含二分查找的经典分析与变体)
  • **Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein *Introduction to Algorithms (CLRS)***(常见教材章节中以“binary search”作为基础查找算法示例)
  • Jon Bentley Programming Pearls(以工程视角谈性能与查找问题,涉及二分思想与相关实践)
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