nonlinearity

简明释义

英[nɒnlɪnɪˈærɪti]美[nɑːnlɪniˈærəti]

n. [数] 非线性；非线性特征

英英释义

单词用法

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例句

1.Therefore constructions of Boolean permutation with high degree and high nonlinearity have become an important study problem.

因此构造出高次、非线性度高的布尔置换是一个重要的研究问题。

2.The sensor's nonlinearity is a general problem to be solved.

传感器的非线性是一较普遍的问题。

3.The motion of ship is nonlinear. The operating machine has nonlinearity such as dead zone and relay.

船舶运动呈非线性，操作机构有明显的死区、继电等非线性；

4.The changing curves are characteristic of nonlinearity.

变化曲线均具有非线性特征。

5.Nonlinearity is a very fascinating phenomenon in the nature.

非线性是自然界中最有趣的现象之一。

6.Optimization of forming process is a very difficult problem due to high nonlinearity and huge computational cost of numerical simulations.

这主要是由于塑性成形数值模拟的高度非线性和大计算量特征，使得成形过程优化变得非常困难。

7.The research indicates that nonlinearity has a very important effect on the dynamical behavior of MEMS system.

初步研究表明：非线性对微机械电子系统动力学行为有着严重的重要的影响。

8.The model's nonlinearity 非线性 makes it difficult to predict future outcomes accurately.

模型的非线性使得准确预测未来结果变得困难。

9.In economics, the nonlinearity 非线性 of supply and demand curves can lead to unexpected market behaviors.

在经济学中，供需曲线的非线性可能导致意想不到的市场行为。

10.Engineers often have to account for nonlinearity 非线性 in material properties when designing structures.

工程师在设计结构时常常需要考虑材料属性中的非线性。

11.The algorithm needs to handle the nonlinearity 非线性 present in the data to improve its accuracy.

该算法需要处理数据中的非线性以提高其准确性。

12.Understanding the nonlinearity 非线性 in climate models is crucial for predicting weather patterns.

理解气候模型中的非线性对预测天气模式至关重要。

作文

In the realm of mathematics and science, the concept of nonlinearity (非线性) plays a crucial role in understanding complex systems. Unlike linear equations, which produce a straight line when graphed, nonlinearity refers to relationships that cannot be accurately represented by a straight line. This distinction is vital in various fields, including physics, economics, and engineering, where the behavior of systems often deviates from simple proportionality. For instance, in physics, the laws governing motion are often linear, such as Newton's laws. However, when we examine phenomena like turbulence in fluids or chaotic systems, we encounter nonlinearity (非线性). In these cases, small changes in initial conditions can lead to vastly different outcomes, illustrating how complex interactions can arise from nonlinearity. This unpredictability is not just a mathematical curiosity; it has real-world implications, particularly in weather forecasting and climate modeling, where non-linear dynamics can significantly affect predictions. In economics, nonlinearity (非线性) manifests in various ways, particularly in the relationship between supply and demand. Traditional economic models often assume linear relationships, but in reality, these relationships can be quite complex. For example, consumer behavior may not respond linearly to price changes; instead, there may be thresholds or saturation points where demand shifts dramatically. Understanding these nonlinear (非线性) behaviors is essential for businesses and policymakers to make informed decisions. In engineering, nonlinearity (非线性) is also prevalent, especially in the design of structures and materials. Engineers must account for the non-linear response of materials under stress, as materials do not always behave predictably when subjected to forces. For instance, steel exhibits linear elasticity up to a certain point, but beyond that point, its behavior becomes nonlinear (非线性), leading to potential failure if not properly managed. This necessitates sophisticated modeling techniques to ensure safety and performance in engineering designs. Moreover, in the field of biology, nonlinearity (非线性) is evident in population dynamics. The growth of populations is not always linear; factors such as resource availability, predation, and disease can create complex interactions that lead to nonlinear (非线性) growth patterns. These patterns can be modeled using differential equations that capture the essence of nonlinearity, allowing biologists to predict how populations will change over time under various conditions. In summary, the concept of nonlinearity (非线性) is fundamental across multiple disciplines. It challenges our understanding of how systems behave and interact, highlighting the importance of recognizing complexity in both theoretical and practical applications. As we continue to explore the intricacies of the world around us, embracing nonlinearity (非线性) will be essential for advancing knowledge and developing innovative solutions to the challenges we face.