reciprocity theorem

简明释义

互易定理

英英释义

例句

1.The reciprocity theorem 互易定理 is fundamental in understanding the behavior of linear systems in physics.

在物理学中，互易定理 互易定理 是理解线性系统行为的基础。

2.The application of the reciprocity theorem 互易定理 in antenna theory helps in simplifying the calculations of radiation patterns.

在天线理论中，互易定理 互易定理 的应用有助于简化辐射模式的计算。

3.In structural engineering, the reciprocity theorem 互易定理 allows engineers to determine the effects of loads applied at different points on a structure.

在结构工程中，互易定理 互易定理 使工程师能够确定施加在结构不同点上的荷载的影响。

4.During the analysis of wave propagation, the reciprocity theorem 互易定理 can be used to predict how waves will behave when encountering obstacles.

在波传播分析过程中，可以使用互易定理 互易定理 来预测波遇到障碍物时的行为。

5.In electrical engineering, the reciprocity theorem 互易定理 states that the response at one port of a linear network due to an input at another port is the same as the response at the second port if the input is applied there.

在电气工程中，互易定理 互易定理 表示线性网络的一个端口由于另一个端口的输入而产生的响应与如果输入应用于第二个端口时的响应是相同的。

作文

The concept of the reciprocity theorem is a fundamental principle in various fields, particularly in physics and engineering. It essentially states that the response at one point in a system due to an external influence at another point is equal to the response at the second point if the external influence were applied at the first point. This theorem has significant implications in the study of wave propagation, electrical circuits, and even in social sciences, where it can describe the mutual interactions between individuals or groups.In physics, the reciprocity theorem is often associated with linear systems. For instance, in the context of electromagnetic fields, if we have two points A and B, and we apply a source at point A, the effect observed at point B can be replicated by placing the source at point B and observing the effect at point A. This property simplifies the analysis of complex systems, allowing engineers and scientists to predict behaviors without having to conduct exhaustive experiments for every possible configuration.The importance of the reciprocity theorem extends beyond just theoretical applications; it has practical implications as well. In telecommunications, for example, this theorem helps in designing efficient networks. Engineers can optimize signal paths and reduce interference by understanding how signals will interact at different points within the network. Moreover, in the field of acoustics, the reciprocity theorem allows sound engineers to predict how sound waves will travel through various environments, which is crucial for designing concert halls and recording studios.Beyond the realms of science and engineering, the reciprocity theorem can also be applied to social interactions. In sociology, the idea of reciprocity refers to the mutual exchange of resources or services between individuals. This social version of the theorem suggests that when one person does something beneficial for another, there is a tendency for the recipient to return the favor. This principle is foundational in building trust and cooperation within communities, highlighting the interconnectedness of human relationships.Furthermore, understanding the reciprocity theorem can enhance our perspective on international relations. Countries often engage in reciprocal actions, where one nation’s aid or trade agreement prompts a similar response from another. This can lead to a more stable and cooperative global environment, as nations recognize the benefits of mutual support and collaboration.In conclusion, the reciprocity theorem serves as a bridge connecting various disciplines, illustrating the universal nature of reciprocal relationships. Whether in the physical sciences, engineering, or social dynamics, the principles of reciprocity underscore the importance of mutual influence and interaction. By grasping this concept, individuals and professionals can better navigate complex systems, whether they are dealing with waves, circuits, or human relationships. The reciprocity theorem not only enhances our analytical capabilities but also enriches our understanding of the interconnected world we inhabit.

“互惠定理”是物理学和工程学等多个领域的基本原理。它基本上表明，系统中一个点由于另一个点的外部影响而产生的反应，与如果将外部影响施加在第一个点时，在第二个点观察到的反应是相等的。该定理在波传播、电路研究，甚至社会科学中具有重要意义，在这些领域中，它可以描述个人或群体之间的相互作用。在物理学中，“互惠定理”通常与线性系统相关。例如，在电磁场的背景下，如果我们在点A有一个源，并且在点B观察到的效果可以通过在点B放置源并在点A观察效果来复制。这一特性简化了复杂系统的分析，使工程师和科学家能够预测行为，而无需对每种可能的配置进行详尽的实验。“互惠定理”的重要性不仅限于理论应用；它也具有实际意义。在电信领域，这一定理帮助设计高效的网络。工程师可以通过理解信号如何在网络中的不同点相互作用来优化信号路径并减少干扰。此外，在声学领域，“互惠定理”使声音工程师能够预测声音波在各种环境中的传播方式，这对于设计音乐厅和录音室至关重要。超越科学和工程的领域，“互惠定理”也可以应用于社会互动。在社会学中，互惠的概念指的是个人之间资源或服务的相互交换。这一社会版本的定理表明，当一个人对另一个人做出有益的事情时，接受者往往会回报这个恩惠。这一原则是建立信任和合作的基础，突显了人际关系的相互联系。此外，理解“互惠定理”可以增强我们对国际关系的视角。国家之间经常进行互惠行动，一个国家的援助或贸易协议促使另一个国家采取类似的回应。这可以导致一个更稳定和合作的全球环境，因为各国认识到相互支持和合作的好处。总之，“互惠定理”作为连接各个学科的桥梁，展示了互惠关系的普遍性质。无论是在物理科学、工程还是社会动态中，互惠的原则都强调了相互影响和互动的重要性。通过掌握这一概念，个人和专业人士可以更好地驾驭复杂系统，无论他们是在处理波动、电路还是人际关系。“互惠定理”不仅增强了我们的分析能力，还丰富了我们对所居住的相互关联的世界的理解。