V2EX polynomial time

Polynomial Time

释义 Definition

多项式时间:在计算机科学中,指算法的运行时间(或步骤数)能用输入规模 \(n\) 的某个多项式来上界表示,如 \(O(n)\)、\(O(n^2)\)、\(O(n^k)\)。通常被视为“相对高效/可行(tractable)”的时间复杂度类别。(也常与“指数时间”作对比。)

发音 Pronunciation (IPA)

/plnomil tam/

例句 Examples

The sorting algorithm runs in polynomial time.
这个排序算法在多项式时间内运行。

If a problem can be solved in polynomial time, it is generally considered feasible for large inputs.
如果一个问题能在多项式时间内解决,通常就认为它在大规模输入下是可行的。

词源 Etymology

polynomial 源于数学术语:poly-(希腊语“多”)+ -nomial(与“项/名称”相关的构词成分,常见于 binomial, monomial 等),表示“由多个项组成的”。polynomial time 则是把“多项式”这一增长形式借用到算法分析里,用来描述运行时间随输入规模增长的速度。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Introduction to Algorithms(Cormen, Leiserson, Rivest, Stein)
  • Computers and Intractability: A Guide to the Theory of NP-Completeness(Garey & Johnson)
  • Computational Complexity(Christos H. Papadimitriou)
  • The Nature of Computation(Moore & Mertens)
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