V2EX nonlinearity

Nonlinearity

释义 Definition

nonlinearity(非线性):指系统的输出与输入不成正比、不遵循直线关系;常见于物理、工程、经济与生物系统中,表现为“加倍输入不一定得到加倍输出”,并可能产生阈值效应、饱和、突变、混沌等现象。(也可泛指“非线性特征/非线性因素”。)

发音 Pronunciation (IPA)

/nnlnirti/
/nnlnirti/

例句 Examples

Nonlinearity makes the results hard to predict.
非线性会让结果难以预测。

In real markets, nonlinearity means small changes in confidence can sometimes trigger disproportionately large swings in prices.
在真实市场中,非线性意味着信心的微小变化有时会引发价格不成比例的大幅波动。

词源 Etymology

由 **non-**(“不、非”)+ linear(“线性的”)+ -ity(名词后缀,表示“性质/状态”)构成,字面义为“非线性这一性质”。该词在20世纪科学与工程语境中广泛使用,尤其与控制理论、非线性动力学与混沌理论的发展密切相关。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Nonlinear Dynamics and Chaos(Steven H. Strogatz)系统介绍“非线性”如何导致复杂行为与混沌。
  • Chaos: Making a New Science(James Gleick,《混沌:开创新科学》)讨论自然与社会现象中的非线性与混沌思想。
  • The Feynman Lectures on Physics(Richard P. Feynman 等,《费曼物理学讲义》)在多处物理讨论中提及非线性效应对解析解与近似方法的影响。
  • Nonlinear Optics(Robert W. Boyd,《非线性光学》)在光学介质响应中系统阐释非线性概念与应用。
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