nonlinearities

简明释义

英[ˌnɒnˈlɪn.i.ər.ɪ.tiz]美[ˌnɑnˈlɪn.i.ɛr.ɪ.tiz]

n. [数]非线性（nonlinearity 的复数）

英英释义

单词用法

同义词

反义词

例句

1.The effect of these nonlinearities can be avoided by determining compliance at the same maximum load for all crack lengths investigated.

这些非线性效应，可在测定所有裂纹长度的柔度方法时，采用最大载荷不变的方法予以消除。

2.The proposed FCMAC is applied on robotic tracking control system to counteract the disadvantageous influences of nonlinearities and uncertainties in robotic system.

所提出的FCMAC被应用于机器人的轨迹跟踪控制系统以克服机器人系统中非线性和不确定性因素的影响。

3.In this paper, effects of one of the fibre nonlinearities, four-wave mixing, in long distance coherent multichannel optical fibre transmission are studied.

本文研究光纤非线性现象之一的四波混频对长距离相干多路光纤传输系统的影响。

4.Nonlinear finite element models by incorporating geometric and material nonlinearities were developed using finite element program ANSYS.

首先利用ANSYS程序建立了构件的非线性有限元模型，模型中包含了几何和材料双重非线性。

5.The governing differential equations of tension leg platform considering comprehensive nonlinearities are deduced.

推导出张力腿平台六自由度有限运动非线性控制方程。

6.Nonlinearities induced by free surface effects and viscous drag force are also included in this model.

还包括自由表面效应、粘性力等因素引起的非线性。

7.Emphasis is laid on the analysis, of large nonlinearities in system, for example, the FPK method, the closure method and the functional series expansion method.

重点是具有较大非线性的系统的方法，如FPK法，矩闭合法和函数级数法。

8.When the structure keeps elastic except for the local nonlinearities, the fast nonlinear analysis (FNA) method is desirable for an elastic response history analysis.

当结构局部非线性而其它大部分为弹性时，方程可以采用“快速非线性分析”（FNA）方法求解。

9.However, due to its strong nonlinearities, it is difficult for a pneumatic servo system to achieve higher control precision.

但是，由于气动伺服系统的强非线性，对其实现高精度的有效控制一直是个难题。

10.The study of complex systems often reveals various nonlinearities, which are essential for understanding their behavior.

复杂系统的研究通常揭示了各种非线性，这些对于理解它们的行为至关重要。

11.In economics, nonlinearities in demand can affect pricing strategies significantly.

在经济学中，需求中的非线性可以显著影响定价策略。

12.Engineers must account for nonlinearities when designing structures to ensure safety and stability.

工程师在设计结构时必须考虑到非线性以确保安全和稳定。

13.The climate model incorporates nonlinearities to better predict weather patterns.

气候模型纳入了非线性以更好地预测天气模式。

14.In machine learning, nonlinearities in data can lead to more accurate models.

在机器学习中，数据中的非线性可以导致更准确的模型。

作文

In the realm of mathematics and science, the term nonlinearities refers to situations where the relationship between variables is not proportional or straightforward. Unlike linear systems, where a change in one variable results in a direct and predictable change in another, nonlinearities introduce complexities that can lead to unexpected outcomes. This concept is critical in various fields such as physics, engineering, economics, and even biology, where systems often behave in unpredictable ways due to these nonlinearities. For instance, consider the weather. Weather patterns are influenced by numerous factors, including temperature, humidity, and wind speed. The interactions among these factors are highly nonlinearities. A small change in one element can lead to significant changes in the overall weather system, which is why predicting the weather can be so challenging. Meteorologists use complex models to account for these nonlinearities, but even with advanced technology, accurate long-term forecasts remain elusive. In engineering, nonlinearities can be observed in structural analysis. When designing bridges or buildings, engineers must consider how materials respond under various loads. For example, steel behaves linearly up to a certain point, but beyond that, it exhibits nonlinearities in its stress-strain relationship. This means that as the load increases, the material may deform in unexpected ways, leading to potential failure if not properly accounted for in the design process. Economics also deals with nonlinearities. The relationship between supply and demand is not always linear; various external factors can cause sudden shifts. For example, a sudden increase in oil prices can lead to drastic changes in consumer behavior, affecting everything from transportation costs to the price of goods. Economists must model these nonlinearities to understand market dynamics better and make informed predictions about future trends. In biology, the concept of nonlinearities is evident in population dynamics. The growth of a species is often not a simple linear function. Factors such as predation, competition for resources, and environmental changes can create complex interactions that lead to nonlinearities in population growth curves. For instance, a population might grow exponentially when resources are abundant, but as competition increases, growth may slow down or even decline, illustrating the nonlinearities inherent in ecological systems. Understanding nonlinearities is crucial for developing effective strategies in various fields. By recognizing that not all relationships are linear, professionals can create more robust models and solutions. In education, teaching students about nonlinearities can help them develop critical thinking skills necessary for tackling complex problems in science and math. In conclusion, nonlinearities play a significant role in understanding complex systems across multiple disciplines. Whether in predicting the weather, designing structures, analyzing economic trends, or studying biological populations, recognizing and accounting for nonlinearities allows for a deeper comprehension of the world around us. As we continue to advance in technology and science, the importance of grasping these concepts will only grow, emphasizing the need for interdisciplinary approaches to problem-solving.

在数学和科学领域，术语nonlinearities指的是变量之间的关系不是成比例或直接的情况。与线性系统不同，在这些系统中，一个变量的变化会导致另一个变量直接且可预测的变化，nonlinearities引入了复杂性，这可能导致意想不到的结果。这个概念在物理学、工程学、经济学甚至生物学等多个领域都是至关重要的，因为这些系统往往由于这些nonlinearities而表现出不可预测的行为。 例如，考虑天气。天气模式受到多种因素的影响，包括温度、湿度和风速。这些因素之间的相互作用是高度的nonlinearities。一个元素的小变化可能会导致整体天气系统的显著变化，这就是为什么预测天气如此具有挑战性的原因。气象学家使用复杂的模型来考虑这些nonlinearities，但即使有先进的技术，准确的长期预测仍然难以实现。 在工程学中，nonlinearities可以在结构分析中观察到。当设计桥梁或建筑物时，工程师必须考虑材料在各种载荷下的反应。例如，钢材在一定程度上表现为线性，但超过该点后，它在应力-应变关系中表现出nonlinearities。这意味着随着载荷的增加，材料可能会以意想不到的方式变形，如果在设计过程中没有适当考虑，可能会导致潜在的失败。 经济学也涉及nonlinearities。供需之间的关系并不总是线性的；各种外部因素可能导致突然的变化。例如，油价的突然上涨可能会导致消费者行为的剧烈变化，影响从交通成本到商品价格的方方面面。经济学家必须对这些nonlinearities进行建模，以便更好地理解市场动态并对未来趋势做出明智的预测。 在生物学中，nonlinearities的概念在种群动态中显而易见。一个物种的增长往往不是一个简单的线性函数。捕食、资源竞争和环境变化等因素可以造成复杂的相互作用，从而导致种群增长曲线中的nonlinearities。例如，当资源丰富时，种群可能会呈指数增长，但随着竞争的加剧，增长可能会减缓甚至下降，说明生态系统中固有的nonlinearities。 理解nonlinearities对于在各个领域制定有效的策略至关重要。通过认识到并非所有关系都是线性的，专业人士可以创建更稳健的模型和解决方案。在教育中，教学生关于nonlinearities的知识可以帮助他们培养必要的批判性思维技能，以应对科学和数学中的复杂问题。 总之，nonlinearities在理解多个学科中的复杂系统中发挥着重要作用。无论是在预测天气、设计结构、分析经济趋势还是研究生物种群，识别和考虑nonlinearities都能使我们更深入地理解周围的世界。随着我们在技术和科学上的不断进步，掌握这些概念的重要性只会增加，强调了解决问题时跨学科方法的必要性。