differential analyzer

简明释义

微分分析仪

英英释义

例句

1.The engineer used a differential analyzer to solve complex equations quickly.

工程师使用微分分析器快速解决复杂方程。

2.The differential analyzer is essential for simulating dynamic systems in engineering.

微分分析器对于模拟工程中的动态系统至关重要。

3.Using a differential analyzer, we were able to visualize the behavior of the system over time.

通过使用微分分析器，我们能够可视化系统随时间的行为。

4.In the lab, we tested the accuracy of the differential analyzer for various mathematical models.

在实验室，我们测试了微分分析器对各种数学模型的准确性。

5.The development of the differential analyzer revolutionized the field of control systems.

微分分析器的发展彻底改变了控制系统领域。

作文

The invention of the differential analyzer has been a significant milestone in the field of engineering and applied mathematics. This remarkable machine was designed to solve complex differential equations, which are essential for modeling various physical phenomena. The concept of the differential analyzer dates back to the early 20th century, primarily attributed to the work of Vannevar Bush and his team at MIT. They aimed to create a device that could automate the process of solving these equations, which were previously tackled manually and often required extensive calculations.The differential analyzer operates on the principle of integration, allowing it to compute solutions to equations by simulating the behavior of dynamic systems. By using mechanical components such as gears and levers, the device could represent the relationships between variables in a visual and tangible way. This mechanical approach was revolutionary at the time, as it provided engineers and scientists with a powerful tool to analyze and predict system behavior without needing advanced mathematical skills.One of the most notable applications of the differential analyzer was in the field of aerodynamics. Engineers used it to model airflow over wings and fuselages, which played a crucial role in the design of aircraft. By inputting various parameters into the machine, they could visualize how changes in shape or angle would affect lift and drag, leading to more efficient and safer designs. This ability to simulate real-world conditions significantly shortened the development time for new aircraft and contributed to advancements in aviation technology.Despite its mechanical nature, the differential analyzer laid the groundwork for future computational methods. As electronic computers began to emerge in the mid-20th century, the principles established by the differential analyzer were adapted and enhanced. The transition from mechanical to digital computation opened up new possibilities for solving even more complex equations and handling larger datasets. Today, numerical methods and computer algorithms have largely replaced the need for physical differential analyzers, but their legacy lives on in modern engineering practices.In addition to engineering, the influence of the differential analyzer can be seen in various scientific disciplines. Physicists, chemists, and biologists have all benefited from the ability to model dynamic systems, predict outcomes, and conduct experiments based on the solutions generated by these machines. The interdisciplinary nature of the differential analyzer demonstrates its importance as a foundational tool in the development of theoretical and applied sciences.In conclusion, the differential analyzer represents a pivotal advancement in the history of technology and science. Its ability to solve complex differential equations revolutionized engineering and paved the way for modern computational methods. While we may no longer rely on mechanical devices to perform these calculations, the principles established by the differential analyzer continue to influence the way we approach problem-solving in various fields today. Understanding its significance not only highlights the evolution of technology but also inspires future innovations in computational science.

‘微分分析仪’的发明是工程和应用数学领域的重要里程碑。这一卓越的机器旨在解决复杂的微分方程，这些方程对于建模各种物理现象至关重要。‘微分分析仪’的概念可以追溯到20世纪初，主要归功于Vannevar Bush及其在麻省理工学院的团队的工作。他们的目标是创建一种能够自动化解决这些方程的设备，而这些方程之前是通过人工处理的，通常需要大量的计算。‘微分分析仪’基于积分原理运行，使其能够通过模拟动态系统的行为来计算方程的解。通过使用齿轮和杠杆等机械部件，该设备可以以直观和有形的方式表示变量之间的关系。这种机械方法在当时是革命性的，因为它为工程师和科学家提供了一个强大的工具，可以分析和预测系统行为，而无需高深的数学技能。‘微分分析仪’最显著的应用之一是在空气动力学领域。工程师们利用它对机翼和机身的气流进行建模，这在飞机设计中起到了至关重要的作用。通过将各种参数输入机器，他们可以直观地看到形状或角度的变化如何影响升力和阻力，从而导致更高效和更安全的设计。这种模拟现实条件的能力显著缩短了新飞机的开发时间，并促进了航空技术的发展。尽管其机械性质，‘微分分析仪’为未来的计算方法奠定了基础。随着电子计算机在20世纪中叶开始出现，由‘微分分析仪’建立的原理被改编和增强。从机械计算到数字计算的过渡打开了新的可能性，使得解决更复杂的方程和处理更大数据集成为可能。今天，数值方法和计算机算法在很大程度上取代了对物理‘微分分析仪’的需求，但它们的遗产在现代工程实践中依然存在。除了工程外，‘微分分析仪’的影响还可以在各个科学学科中看到。物理学家、化学家和生物学家都受益于建模动态系统、预测结果和根据这些机器生成的解进行实验的能力。‘微分分析仪’的跨学科性质展示了其作为理论和应用科学发展基础工具的重要性。总之，‘微分分析仪’代表了技术和科学历史上的一个关键进步。它解决复杂微分方程的能力彻底改变了工程学，并为现代计算方法铺平了道路。虽然我们可能不再依赖机械设备来执行这些计算，但‘微分分析仪’建立的原则仍然继续影响着我们今天在各个领域的问题解决方式。理解其重要性不仅突显了技术的演变，也激励着未来在计算科学中的创新。