V2EX quasilinear

Quasilinear

释义 Definition

准线性的;近似线性的。 常用于数学、经济学与计算机科学中:

  • 在数学里指“几乎线性”的结构或方程(但仍含有某些非线性成分)。
  • 在经济学里常指准线性效用/偏好(quasilinear utility/preferences):对某个“货币/合成商品”是线性的。
  • 在算法分析里常指准线性时间:接近线性,典型如 \(O(n\log n)\)。

发音 Pronunciation (IPA)

/kwezalnir/

例句 Examples

The sorting algorithm runs in quasilinear time.
这个排序算法以准线性时间运行。

Under quasilinear preferences, willingness to pay can be derived from utility differences.
在准线性偏好下,支付意愿可以由效用差异推导出来。

词源 Etymology

来自 **quasi-**(拉丁语来源,意为“仿佛、几乎”)+ linear(“线性的”)。合起来就是“看起来像线性的、接近线性的”。

相关词 Related Words

文学与著作 Literary Works

  • Introduction to Algorithms(Cormen, Leiserson, Rivest, Stein):常用 quasilinear time 讨论如排序、FFT 等复杂度。
  • Microeconomic Theory(Mas-Colell, Whinston, Green):大量使用 quasilinear utility/preferences 分析福利与需求。
  • Game Theory(Fudenberg & Tirole):在机制设计与拍卖等主题中常见 quasilinear utility 设定。
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