好词典

linearized

UK //ˈlɪn.i.ə.raɪzd//US //ˈlɪn.i.ə.raɪzd//

词源

Derived from 'linear' (from Latin linearis 'of or belonging to lines') + the suffix '-ize' (to make) + '-ed' (past participle). First used in early 20th century mathematical contexts.

adjective

❶ 指将原本非线性或复杂的关系、系统或问题简化为线性形式,使其更容易分析或处理。常用于数学、工程和科学领域。

“The engineer linearized the complex fluid dynamics model for easier computation.”

(工程师将复杂的流体动力学模型线性化以便于计算。)

“Linearized equations are often used in control theory to approximate nonlinear systems.”

(控制理论中常用线性化方程来近似非线性系统。)

同义词:simplified, approximated, flattened

verb

❶ 将某物转化为线性形式或使其遵循线性关系的动作,通常用于数学变换或工程处理。

“The mathematician linearized the differential equation to solve it analytically.”

(数学家将微分方程线性化以解析求解。)

“They linearized the circuit model to predict its behavior more easily.”

(他们将电路模型线性化以更轻松预测其行为。)

同义词:flatten, straighten, simplify

常见短语

linearized approximation — 指通过线性化方法得到的近似结果,常用于科学和工程中对复杂系统的简化处理。

“The linearized approximation was accurate enough for the initial design phase.”

(线性化近似在初始设计阶段足够精确。)

linearized model — 经过线性化处理的模型,保留了原系统的主要特征但数学形式更简单。

“A linearized model of the aircraft dynamics was used for autopilot design.”

(使用飞机动力学的线性化模型进行自动驾驶设计。)