V2EX computational complexity

Computational Complexity

Definition / 定义

计算复杂性:研究计算问题在解决时所需资源(如时间空间/内存等)的学科与度量方式,常用于分析算法效率、划分问题难度(如 P、NP 等复杂性类别)。该术语也可泛指“某个算法/问题的复杂程度”。

Pronunciation / 发音

/kmpjutenl kmplksti/

Examples / 例句

Computational complexity helps us compare algorithms.
计算复杂性帮助我们比较不同算法。

The computational complexity of this approach grows exponentially with the input size, making it impractical for large datasets.
这种方法的计算复杂性会随着输入规模呈指数增长,使它在大数据集上不切实际。

Etymology / 词源

computational 来自 compute(计算),而 compute 源于拉丁语 computare(com- “一起” + putare “估算/思考”),引申为“合计、计算”。
complexity 来自 complex,其词根可追溯到拉丁语 complexus(“交织在一起的、环绕的”),因此 complexity 有“结构交织导致的复杂程度”之意。合起来强调“计算过程/问题在资源消耗上的复杂程度”。

Related Words / 相关词

Literary Works / 文学作品

  • Computational Complexity: A Modern Approach(Sanjeev Arora & Boaz Barak)
  • Introduction to the Theory of Computation(Michael Sipser)
  • Computers and Intractability: A Guide to the Theory of NP-Completeness(Michael R. Garey & David S. Johnson)
  • The Art of Computer Programming(Donald E. Knuth)
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