differential system

简明释义

差额运率制度［铁路］

英英释义

例句

1.In robotics, a differential system allows for precise movement and control.

在机器人技术中，差速系统允许实现精确的运动和控制。

2.Understanding the differential system is crucial for mechanical engineers.

理解差速系统对机械工程师至关重要。

3.The differential system can be adjusted to enhance performance on different terrains.

可以调整差速系统以增强在不同地形上的性能。

4.The engineer designed a new differential system to improve the vehicle's handling.

工程师设计了一种新的差速系统以改善车辆的操控性。

5.The differential system in this car helps distribute power evenly to the wheels.

这辆车中的差速系统有助于将动力均匀分配到车轮上。

作文

In the realm of mathematics and engineering, the term differential system refers to a collection of differential equations that describe how a particular quantity changes with respect to another variable. These systems are fundamental in modeling real-world phenomena where relationships between variables are not static but dynamic. For instance, in physics, the motion of an object can be described using a differential system that accounts for forces acting on it, such as gravity and friction. By understanding these systems, we can predict future states and behaviors, which is crucial in fields like robotics, economics, and biology.To delve deeper into the concept, let us consider a simple example: the growth of a population over time. We can represent this scenario with a differential system that includes a differential equation expressing the rate of change of the population with respect to time. This equation might take into account factors such as birth rates, death rates, and immigration. The solution to this differential system provides insights into how the population will evolve, allowing policymakers to make informed decisions regarding resource allocation and urban planning.Moreover, differential systems are not limited to just one equation; they often involve multiple equations that interact with each other. For instance, in ecology, a predator-prey model can be formulated using a pair of coupled differential equations that describe the dynamics of both species. The interplay between the predator and prey populations can lead to oscillatory behavior, which can be analyzed through the lens of the differential system. Understanding these interactions is vital for conservation efforts and maintaining ecological balance.The significance of differential systems extends beyond theoretical applications; they are also prevalent in engineering disciplines. For example, in control theory, engineers use differential systems to design systems that respond dynamically to changes in their environment. This is particularly important in the development of automated systems, where precise control is required. By modeling the system with differential equations, engineers can create algorithms that ensure stability and optimal performance.In conclusion, the concept of differential systems is an essential aspect of various scientific and engineering fields. Their ability to model dynamic changes allows for better understanding and prediction of complex behaviors in nature and technology. As we continue to advance in our understanding of these systems, we unlock new possibilities for innovation and problem-solving across numerous disciplines. Thus, mastering the principles surrounding differential systems is not only beneficial but necessary for those aspiring to make meaningful contributions to science and engineering.

在数学和工程学领域，术语differential system指的是描述特定量如何相对于另一个变量变化的一组微分方程。这些系统在建模现实世界现象中至关重要，因为变量之间的关系不是静态的，而是动态的。例如，在物理学中，物体的运动可以用一个differential system来描述，该系统考虑了作用于其上的力，如重力和摩擦力。通过理解这些系统，我们可以预测未来的状态和行为，这在机器人技术、经济学和生物学等领域至关重要。为了更深入地探讨这一概念，让我们考虑一个简单的例子：人口随时间的增长。我们可以用一个differential system来表示这种情况，其中包括一个表达相对于时间的人口变化率的微分方程。这个方程可能考虑出生率、死亡率和移民等因素。这个differential system的解提供了对人口如何演变的见解，使政策制定者能够就资源分配和城市规划做出明智的决策。此外，differential systems不仅限于一个方程；它们通常涉及多个相互作用的方程。例如，在生态学中，捕食者-猎物模型可以通过一对耦合的微分方程来表示，这些方程描述了两个物种的动态。捕食者和猎物种群之间的相互作用可能导致振荡行为，可以通过differential system的视角进行分析。理解这些相互作用对于保护工作和维持生态平衡至关重要。differential systems的重要性不仅限于理论应用；它们在工程学科中也很普遍。例如，在控制理论中，工程师使用differential systems设计能够动态响应环境变化的系统。这在自动化系统的发展中尤为重要，因为需要精确控制。通过用微分方程对系统进行建模，工程师可以创建确保稳定性和最佳性能的算法。总之，differential systems的概念是各种科学和工程领域的基本方面。它们建模动态变化的能力使我们能够更好地理解和预测自然和技术中的复杂行为。随着我们对这些系统理解的不断深入，我们为各个学科的创新和问题解决打开了新的可能性。因此，掌握围绕differential systems的原理对于那些希望在科学和工程领域做出有意义贡献的人来说，不仅是有益的，而且是必要的。