好的，我们来以百科形式详细解析英语单词 linearization。

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单词信息

单词：linearization
词性：名词
音标：/ˌlɪn.i.ə.raɪˈzeɪ.ʃən/
词根：linear（线性的） + -ization（名词后缀，表示过程或结果）

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中文释义

线性化，线性近似：将非线性问题或函数转化为线性形式的过程。

数学或工程学中指对复杂函数进行线性化处理，以便分析或计算。

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英文释义

The process of transforming a non-linear system, function, or problem into a linear one.

In mathematics, physics, and engineering, it refers to approximating a complex function or system with a linear function for easier analysis.

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用法说明

linearization 常用于数学、物理、控制工程和计算机科学领域。

常搭配动词 perform, use, require 等。

可用于描述分析方法、算法步骤、系统建模等场景。

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例句（10句）

The linearization of the differential equation makes it easier to find an approximate solution.

Engineers performed a linearization of the control system to simplify stability analysis.

Linearization is often used in physics to study small perturbations around equilibrium points.

The software can automatically perform the linearization of nonlinear models.

By applying linearization, the mathematician could estimate the function’s behavior near a specific point.

Linearization techniques are essential in numerical simulations of complex systems.

The linearization process converts a curved relationship into a straight line for easier interpretation.

In robotics, linearization of motion equations helps in designing effective control algorithms.

Linearization allows for approximate solutions in situations where exact solutions are impossible.

The professor explained how linearization simplifies nonlinear optimization problems.

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常见短语搭配

linearization point — 线性化点

linearization method — 线性化方法

linearization error — 线性化误差

linearization procedure — 线性化过程

linearization technique — 线性化技术

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如果你需要，我可以帮你画一张 linearization 的概念示意图，用图形直观显示非线性函数如何被线性化，这对理解和记忆非常有帮助。

你希望我画吗？