linearize

简明释义

英[ˈlɪnɪərˌaɪz]美[ˈlɪniəˌraɪz]

v. 使成直线，使线性化

第 三 人 称 单 数 l i n e a r i z e s

现 在 分 词 l i n e a r i z i n g

过 去 式 l i n e a r i z e d

过 去 分 词 l i n e a r i z e d

英英释义

单词用法

同义词

反义词

例句

1.At first we set up the model of seesaw with the use of Lagrange function and linearize it.

我们首先运用拉格朗日方程建立了系统的数学模型并进行了线性化。

2.This paper presents an adaptive RF predistorter to linearize multi-carriers power amplifiers.

本文提出一种线性化射频多载波高功率放大器的自适应射频预失真器。

3.Based on the nonlinear large-signal scattering functions theory, a novel method to linearize the scattering functions is studied.

基于非线性大信号散射函数理论，对一种用来线性化散射函数的新方法进行了研究。

4.First, the aircraft dynamics is inverted to linearize the system dynamics. System performance is guaranteed by using fuzzy control method of. on -line self-tuning rules.

首先使用动态逆方法求得系统的逆，使系统反馈线性化，然后，用具有在线规则自调整的模糊控制方法来确保系统的最终特性。

5.The model of the nonlinear system is obtained by LS-SVM, the offline model is linearize at each sampling instant and uses linear predictive function control methods to obtain the control law.

该算法采用LS-SVM回归建立非线性系统的预测模型，然后，将离线模型在每个采样周期关于当前采样点进行线性化，同时利用线性预测函数控制方法求解解析的控制律。

6.The most important setting in AfterEffects that needs to be adjusted is "Linearize Working space" in your project Settings.

在后遗症的最重要的设置，需要调整的是“工作空间”，在您的项目设置线性化。

7.It is no need for this algorithm to linearize the nonlinear system and to decouple the strong-coupling MIMO system. It is also convenient to use the penalty function to solve the restriction.

该算法对非线性系统不需要进行线性化，对带强耦合的MIMO系统不需要解耦，使用罚函数处理约束也非常方便。

8.To simplify the complex equations, we need to linearize 线性化 them around a specific point.

为了简化复杂的方程，我们需要在一个特定点附近线性化它们。

9.In control theory, it is often necessary to linearize 线性化 nonlinear systems for analysis.

在控制理论中，通常需要对非线性系统进行线性化以便进行分析。

10.The first step in our model is to linearize 线性化 the data to make it easier to interpret.

我们模型的第一步是对数据进行线性化以便更容易解释。

11.Before running the simulations, we must linearize 线性化 the equations governing the system.

在运行模拟之前，我们必须对支配系统的方程进行线性化。

12.The engineer decided to linearize 线性化 the response curve for better performance analysis.

工程师决定对响应曲线进行线性化以便更好地进行性能分析。

作文

In the field of mathematics and engineering, the term linearize refers to the process of approximating a nonlinear function by a linear function. This technique is particularly useful when dealing with complex systems where exact solutions are difficult to obtain. By applying the concept of linearize (线性化), we can simplify the analysis and gain insights into the behavior of these systems. For example, consider a scenario in control systems where we want to stabilize a nonlinear dynamic system. The first step often involves identifying an operating point around which we can perform the linearize (线性化) process. Once we have established this point, we can derive a linear model that closely represents the system's behavior in that vicinity. The significance of linearize (线性化) cannot be overstated. In many real-world applications, systems exhibit nonlinear characteristics due to various factors such as friction, material properties, or external disturbances. However, for the purpose of analysis and design, engineers frequently resort to linear models because they are mathematically simpler and easier to manipulate. Thus, the ability to linearize (线性化) a nonlinear function allows us to leverage powerful linear control techniques, which can lead to more efficient solutions. Moreover, the concept of linearize (线性化) extends beyond just control systems. In economics, for instance, many models assume linear relationships between variables for simplification. By using the linearize (线性化) approach, economists can analyze trends and make forecasts more effectively. Similarly, in physics, when studying motion under certain conditions, we often linearize (线性化) equations of motion to derive predictions about future states. However, it is essential to recognize the limitations of linearize (线性化). While linear approximations can provide valuable insights, they may not capture the full complexity of nonlinear behaviors, especially when the system operates far from the chosen operating point. Therefore, engineers and scientists must exercise caution when interpreting results derived from linearized models. They should always consider the range of validity of their approximations and be prepared to revert to more detailed nonlinear analyses if necessary. In conclusion, the ability to linearize (线性化) complex functions is a powerful tool in various disciplines, including engineering, economics, and physics. It provides a pathway to simplify intricate problems, enabling practitioners to apply linear methods that are often easier to work with. However, one must remain aware of the limitations inherent in this approach, ensuring that the linear models used are appropriate for the specific context. As we continue to advance our understanding of nonlinear systems, the skill of linearize (线性化) will remain a fundamental aspect of both theoretical and applied research, bridging the gap between complexity and comprehensibility.

在数学和工程领域，术语linearize指的是通过线性函数近似非线性函数的过程。这种技术在处理复杂系统时尤其有用，因为确切的解决方案往往难以获得。通过应用linearize（线性化）的概念，我们可以简化分析，并深入了解这些系统的行为。例如，考虑一个控制系统的场景，我们想要稳定一个非线性动态系统。第一步通常涉及确定一个操作点，在这个点附近我们可以进行linearize（线性化）过程。一旦我们建立了这个点，就可以推导出一个线性模型，该模型在该附近密切代表系统的行为。 linearize（线性化）的重要性不容小觑。在许多现实应用中，由于摩擦、材料属性或外部干扰等各种因素，系统表现出非线性特征。然而，为了分析和设计的目的，工程师们经常诉诸于线性模型，因为它们在数学上更简单，更容易处理。因此，能够linearize（线性化）非线性函数使我们能够利用强大的线性控制技术，从而导致更有效的解决方案。 此外，linearize（线性化）的概念不仅限于控制系统。在经济学中，例如，许多模型假设变量之间的线性关系以便简化。通过使用linearize（线性化）方法，经济学家可以更有效地分析趋势和做出预测。同样，在物理学中，当研究在某些条件下的运动时，我们经常对运动方程进行linearize（线性化）以推导出对未来状态的预测。 然而，必须认识到linearize（线性化）的局限性。虽然线性近似可以提供有价值的见解，但它们可能无法捕捉非线性行为的全部复杂性，特别是当系统远离所选的操作点运行时。因此，工程师和科学家在解释从线性化模型得出的结果时必须谨慎。他们应该始终考虑其近似的有效范围，并准备在必要时回归更详细的非线性分析。 总之，能够linearize（线性化）复杂函数是在工程、经济学和物理学等各个学科中的一项强大工具。它为简化复杂问题提供了一条途径，使从业者能够应用通常更易于处理的线性方法。然而，人们必须始终意识到这种方法固有的局限性，确保所使用的线性模型适合特定的上下文。随着我们对非线性系统理解的不断深入，linearize（线性化）这一技能将继续成为理论和应用研究的基本方面，架起复杂性与可理解性之间的桥梁。