complex quantity

简明释义

复量

英英释义

例句

1.When analyzing wave functions, physicists often deal with complex quantities 复数数量 to describe amplitude and phase.

在分析波函数时，物理学家常常处理 复杂数量 复数数量 来描述幅度和相位。

2.Mathematicians use complex quantities 复数数量 to solve equations that have no real solutions.

数学家使用 复杂数量 复数数量 来解决没有实数解的方程。

3.The complex quantity 复数数量 of impedance in AC circuits is crucial for understanding power flow.

交流电路中的 复杂数量 复数数量 阻抗对于理解功率流动至关重要。

4.In control systems, feedback can be represented using complex quantities 复数数量 to analyze stability.

在控制系统中，反馈可以用 复杂数量 复数数量 来表示，以分析稳定性。

5.In electrical engineering, a complex quantity 复数量 can represent both the voltage and current in a circuit.

在电气工程中，复杂数量 复数量 可以表示电路中的电压和电流。

作文

In the realm of mathematics and physics, the term complex quantity refers to numbers that have both a real part and an imaginary part. This concept is fundamental in various fields, including engineering, quantum mechanics, and signal processing. Understanding complex quantity can significantly enhance our comprehension of how systems behave under different conditions. To illustrate the importance of complex quantity, consider the example of electrical engineering. In alternating current (AC) circuits, voltages and currents can be represented as complex quantities. The real part corresponds to the average power, while the imaginary part represents reactive power, which is essential for understanding how energy flows in a circuit. Without the concept of complex quantity, engineers would struggle to analyze and design efficient electrical systems. Moreover, in physics, complex quantity plays a crucial role in wave mechanics. Waves, whether they are sound waves, light waves, or quantum waves, can often be described using complex quantities. The mathematical representation of these waves allows scientists to predict behaviors such as interference and diffraction. By using complex quantities, physicists can simplify calculations and gain deeper insights into the nature of waves. Another area where complex quantity is prevalent is in control theory. Engineers use complex quantities to analyze the stability of systems. For instance, when designing a control system, the poles of the transfer function are often complex quantities. The location of these poles in the complex plane determines whether the system will respond quickly or oscillate uncontrollably. Thus, mastering the concept of complex quantity is vital for anyone involved in system design and analysis. Additionally, complex quantity has applications in computer science, particularly in algorithms that process signals. Digital signal processing (DSP) relies heavily on complex quantities for tasks such as filtering, modulation, and demodulation. By representing signals as complex quantities, DSP algorithms can efficiently manipulate data, leading to advances in telecommunications and audio technology. In conclusion, the term complex quantity encompasses a wide range of applications across various disciplines. Its significance cannot be overstated, as it provides a powerful framework for analyzing and understanding complex systems. Whether in engineering, physics, or computer science, grasping the concept of complex quantity enables professionals to innovate and solve problems effectively. As we continue to explore the intricacies of the universe, the utility of complex quantity will undoubtedly remain a cornerstone of scientific inquiry and technological advancement.

在数学和物理的领域中，术语复数指的是既包含实部又包含虚部的数字。这个概念在工程、量子力学和信号处理等多个领域都是基础性的。理解复数可以显著提升我们对系统在不同条件下行为的理解。为了说明复数的重要性，考虑电气工程的例子。在交流电（AC）电路中，电压和电流可以用复数表示。实部对应于平均功率，而虚部则代表无功功率，这对于理解能量在电路中的流动至关重要。如果没有复数的概念，工程师将很难分析和设计高效的电气系统。此外，在物理学中，复数在波动力学中也起着关键作用。声波、光波或量子波等波动通常可以用复数描述。这些波的数学表示允许科学家预测干涉和衍射等行为。通过使用复数，物理学家能够简化计算，并深入了解波的本质。复数在控制理论中也有广泛应用。工程师使用复数来分析系统的稳定性。例如，在设计控制系统时，传递函数的极点通常是复数。这些极点在复平面上的位置决定了系统是快速响应还是失控振荡。因此，掌握复数的概念对任何参与系统设计和分析的人来说都是至关重要的。此外，复数在计算机科学中也有应用，特别是在处理信号的算法中。数字信号处理（DSP）在过滤、调制和解调等任务中严重依赖于复数。通过将信号表示为复数，DSP算法可以高效地操纵数据，从而推动电信和音频技术的发展。总之，术语复数涵盖了多个学科的广泛应用。它的重要性不可低估，因为它为分析和理解复杂系统提供了强大的框架。无论是在工程、物理还是计算机科学中，掌握复数的概念使专业人士能够有效地创新和解决问题。随着我们继续探索宇宙的复杂性，复数的实用性无疑将继续成为科学探究和技术进步的基石。