state variable

简明释义

状态参数

英英释义

A state variable is a variable that represents the state of a system at a given time, often used in the context of control systems, physics, and engineering.

状态变量是表示系统在给定时间状态的变量,通常用于控制系统、物理学和工程学的上下文中。

例句

1.The state variable 状态变量 for the system can change based on user input.

系统的状态变量 state variable 可以根据用户输入而变化。

2.In a simulation, the state variable 状态变量 represents the current position of an object.

在一个仿真中,状态变量 state variable 表示物体的当前位置。

3.In control theory, the state variable 状态变量 is essential for predicting system behavior.

在控制理论中,状态变量 state variable 对于预测系统行为至关重要。

4.The state variable 状态变量 in this context refers to the energy level of the system.

在这个上下文中,状态变量 state variable 指的是系统的能量水平。

5.Each state variable 状态变量 must be carefully defined to ensure accurate modeling.

每个状态变量 state variable 必须被仔细定义,以确保模型的准确性。

作文

In the realm of science and engineering, the concept of a state variable plays a crucial role in understanding dynamic systems. A state variable is a variable that represents the state of a system at a particular time. It encapsulates the essential information needed to describe the system's condition, and it can change over time as the system evolves. For instance, in a physical system like a pendulum, the position and velocity of the pendulum can be considered state variables. These variables provide a complete description of the pendulum's motion at any given moment.The importance of state variables extends beyond mere representation; they are fundamental in the formulation of mathematical models that describe the behavior of systems. In control theory, for example, engineers use state variables to design controllers that can manipulate the system to achieve desired outcomes. By understanding how state variables interact with one another, engineers can predict future states of the system and implement strategies to guide it toward stability or optimal performance.Moreover, the concept of state variables is not limited to physical systems. It also finds applications in economics, biology, and even social sciences. In economics, for instance, the levels of capital, labor, and technology can be viewed as state variables that determine the health of an economy. Similarly, in biology, the concentrations of different substances within a cell can be treated as state variables that influence cellular processes.Understanding state variables also aids in the analysis of complex systems. Many systems are characterized by a multitude of interacting components, making it challenging to grasp their overall behavior. By focusing on the key state variables, researchers can simplify their analyses and gain insights into the system's dynamics. This reductionist approach allows for the identification of critical factors that drive system behavior, leading to more effective interventions or improvements.Another significant aspect of state variables is their role in simulations. In computational modeling, state variables serve as the foundation for simulating the evolution of a system over time. By updating these variables according to specific rules or equations, researchers can create dynamic models that mimic real-world phenomena. This capability is invaluable in fields such as climate science, where models must account for numerous variables and their interactions to predict future climate scenarios.In summary, state variables are integral to the understanding and analysis of various systems across multiple disciplines. They provide a framework for describing the state of a system, facilitate the development of predictive models, and enhance our ability to analyze complex interactions. As we continue to explore the intricacies of dynamic systems, the significance of state variables will undoubtedly remain a cornerstone of scientific inquiry and practical application.

在科学和工程领域,状态变量的概念在理解动态系统中发挥着至关重要的作用。状态变量是一个变量,它表示系统在特定时间的状态。它封装了描述系统条件所需的基本信息,并且随着系统的发展而随时间变化。例如,在物理系统如摆中,摆的位置和速度可以视为状态变量。这些变量提供了对摆在任何给定时刻运动的完整描述。状态变量的重要性不仅限于简单的表示;它们是描述系统行为的数学模型构建中的基础。在控制理论中,例如,工程师使用状态变量来设计能够操控系统以实现期望结果的控制器。通过理解状态变量之间的相互作用,工程师可以预测系统的未来状态并实施策略以引导其走向稳定或最佳性能。此外,状态变量的概念不仅限于物理系统。它还在经济学、生物学甚至社会科学中得到了应用。例如,在经济学中,资本、劳动和技术的水平可以视为决定经济健康的状态变量。类似地,在生物学中,细胞内不同物质的浓度可以被视为影响细胞过程的状态变量。理解状态变量还有助于复杂系统的分析。许多系统的特点是多个相互作用的组件,使得把握其整体行为变得具有挑战性。通过关注关键的状态变量,研究人员可以简化他们的分析,并深入了解系统的动态。这种还原主义的方法使得识别驱动系统行为的关键因素成为可能,从而导致更有效的干预或改进。状态变量的另一个重要方面是它们在模拟中的作用。在计算建模中,状态变量作为模拟系统随时间演变的基础。通过根据特定规则或方程更新这些变量,研究人员可以创建动态模型,模拟现实世界现象。这一能力在气候科学等领域是无价的,因为模型必须考虑众多变量及其相互作用,以预测未来的气候情景。总之,状态变量在各个学科的理解和分析中都是不可或缺的。它们提供了描述系统状态的框架,促进了预测模型的发展,并增强了我们分析复杂相互作用的能力。随着我们继续探索动态系统的复杂性,状态变量的重要性无疑将继续成为科学探究和实际应用的基石。

相关单词

variable

variable详解:怎么读、什么意思、用法