quadrature

简明释义

英[ˈkwɒdrətʃə]美[ˈkwɑːdrətʃə]

n. 正交；求积；弦

英英释义

单词用法

同义词

反义词

例句

1.The quadrature mirror filter (QMF) is very effective in the aspect.

这种滤波器在重建信号方面非常有效。

2.Quadrature couplers are an excellent way for power distribution due to a high isolation and high power capability.

正交耦合器是一个很好的方式，具有配电，高分离和高功率的能力。

3.Program for using an IBM PC to read quadrature encoders through the parallel port (requires bi-directional port) and display position data on-screen.

计划使用IBM的PC阅读正交编码器通过并行端口（需要双向端口）和显示位置数据在屏幕上。

4.Quadrature coherent detection can reserve all information of the complex envelope of signals, and it is therefore widely used in signal processing.

正交相干检波可以将复包络的所有信息进行保留，所以在数字信号处理中得到广泛应用。

5.Gauss quadrature and minimum residual displacement method (with iteration) are used in the analysis.

采用高斯积分，利用最小残余位移法进行迭代计算。

6.Finally, some ways of MTI processing are compared in amplitude and phase unbalances of quadrature channels.

最后比较了几种MTI处理方法对正交通道幅相不平衡度的要求。

7.The state space method coupled with the technique of differential quadrature (SSDQM) was presented for plane stress problems.

针对平面应力问题，提出了利用状态空间法和微分积分法的混合解法（SSDQM）。

8.A new quadrature sampling technique for arbitrary bandpass signal within baseband sampling rate is presented.

提出了一种在基带采样率内对任意带通信号的正交采样技术。

9.The software includes a module for performing quadrature in signal processing.

该软件包含一个用于信号处理的求积模块。

10.In mathematics, the process of finding the area under a curve is known as quadrature.

在数学中，寻找曲线下方面积的过程被称为求积。

11.The engineers used numerical methods to perform quadrature for their simulations.

工程师们使用数值方法来进行他们模拟中的求积。

12.To enhance the accuracy of the results, the team implemented advanced quadrature algorithms.

为了提高结果的准确性，团队实施了先进的求积算法。

13.In astronomy, calculating the position of celestial bodies often involves quadrature techniques.

在天文学中，计算天体的位置通常涉及求积技术。

作文

In the realm of mathematics and physics, the term quadrature refers to a specific process of determining area or solving integrals. It is derived from the Latin word 'quadratus,' meaning square, which reflects the historical context in which mathematicians sought to calculate areas by transforming shapes into squares. The concept of quadrature has evolved over time, but its fundamental essence remains rooted in the idea of measurement and approximation.One of the most fascinating applications of quadrature is found in numerical analysis. For instance, when we want to find the area under a curve, we often use various techniques of integration. These methods can be complex, especially when dealing with irregular shapes or functions that do not have simple antiderivatives. This is where quadrature comes into play, offering a systematic approach to approximate these areas using finite sums.Historically, the methods of quadrature can be traced back to ancient civilizations. The Greeks made significant contributions to this field, particularly through the works of mathematicians like Archimedes, who devised methods to calculate areas of circles and other curves. Archimedes’ approach, although rudimentary by today’s standards, laid the groundwork for what would later become formalized methods of quadrature.In modern times, the concept of quadrature extends beyond mere area calculation; it plays a crucial role in various scientific fields. For example, in physics, quadrature is essential for solving problems related to waveforms and oscillations. Engineers and scientists frequently encounter situations where they must compute the integral of a function to analyze signals or predict system behaviors. In such cases, understanding quadrature becomes imperative.Moreover, the advent of computers has revolutionized the way we approach quadrature. Numerical methods, such as Simpson's rule or Gaussian quadrature, allow us to perform calculations that were once deemed impractical. These algorithms enable us to achieve high precision in approximating integrals, making them invaluable tools in both theoretical research and practical applications.The importance of quadrature extends into the realm of engineering as well. For instance, in control systems, engineers often need to compute the area under a curve representing system response over time. This information is crucial for designing systems that behave predictably and efficiently. Thus, the skillful application of quadrature techniques can significantly enhance the performance and reliability of engineered systems.In conclusion, the term quadrature encapsulates a rich history of mathematical evolution and practical application. From its origins in ancient geometry to its modern-day relevance in diverse scientific fields, quadrature serves as a vital tool for understanding and manipulating the world around us. As we continue to explore new frontiers in mathematics and science, the principles of quadrature will undoubtedly remain at the forefront of our analytical endeavors, bridging the gap between theory and practice.

在数学和物理学领域，术语quadrature指的是确定面积或求解积分的特定过程。它源自拉丁词“quadratus”，意为平方，这反映了历史背景，数学家们试图通过将形状转化为正方形来计算面积。quadrature的概念随着时间的推移而发展，但其基本本质仍根植于测量和近似的思想。quadrature最令人着迷的应用之一是在数值分析中。例如，当我们想要找到曲线下的面积时，我们通常使用各种积分技术。这些方法可能很复杂，尤其是当处理不规则形状或没有简单反导数的函数时。这就是quadrature发挥作用的地方，它提供了一种系统的方法，通过有限的和来近似这些面积。历史上，quadrature的方法可以追溯到古代文明。希腊人在这一领域做出了重要贡献，特别是通过像阿基米德这样的数学家的工作，他设计了计算圆和其他曲线面积的方法。阿基米德的方法虽然在今天的标准下显得初步，但为后来的正式化的quadrature方法奠定了基础。在现代，quadrature的概念超越了简单的面积计算；它在各个科学领域中发挥着关键作用。例如，在物理学中，quadrature对于解决与波形和振荡相关的问题至关重要。工程师和科学家经常遇到必须计算函数积分以分析信号或预测系统行为的情况。在这种情况下，理解quadrature变得至关重要。此外，计算机的出现彻底改变了我们处理quadrature的方法。数值方法，如辛普森法则或高斯积分，使我们能够执行曾经被认为不切实际的计算。这些算法使我们能够在近似积分时达到高精度，从而在理论研究和实际应用中成为无价之宝。quadrature的重要性还扩展到工程领域。例如，在控制系统中，工程师经常需要计算表示系统响应随时间变化的曲线下的面积。这些信息对于设计表现可预测且高效的系统至关重要。因此，熟练应用quadrature技术可以显著提高工程系统的性能和可靠性。总之，术语quadrature概括了数学演变和实际应用的丰富历史。从古代几何学的起源到现代在各种科学领域的相关性，quadrature作为理解和操控我们周围世界的重要工具。随着我们继续探索数学和科学的新前沿，quadrature的原理无疑将在我们的分析工作中保持在最前沿，架起理论与实践之间的桥梁。