instantaneous value

简明释义

瞬时值

英英释义

例句

1.In physics, the instantaneous value of velocity is crucial for understanding motion.

在物理学中，速度的瞬时值对于理解运动至关重要。

2.Financial analysts often look at the instantaneous value of stocks to make quick decisions.

金融分析师通常查看股票的瞬时值以做出快速决策。

3.The dashboard displays the instantaneous value of fuel consumption during the drive.

仪表盘显示驾驶过程中油耗的瞬时值。

4.The app calculates the instantaneous value of heart rate during workouts.

该应用程序计算锻炼期间心率的瞬时值。

5.The sensor provides the instantaneous value of temperature, allowing for real-time monitoring.

传感器提供温度的瞬时值，允许实时监测。

作文

In the realm of physics and mathematics, the concept of instantaneous value plays a crucial role in understanding how systems behave at any given moment. The term refers to the value of a variable at a specific point in time, rather than over an interval. For example, when we talk about the speed of a car, we often refer to its instantaneous value at a particular moment, as opposed to its average speed over a distance. This distinction is vital for accurately describing motion and change. The importance of instantaneous value can be illustrated through various real-world applications. In engineering, for instance, knowing the instantaneous value of stress on a bridge at a certain moment can help engineers assess whether the structure is safe. If the stress exceeds the material's limits, it could lead to catastrophic failure. Thus, monitoring the instantaneous value of stress is essential for maintaining safety and integrity in civil engineering projects.Similarly, in economics, the instantaneous value of a stock or currency can influence investment decisions. Investors often look at the instantaneous value of an asset to determine whether it's a good time to buy or sell. This value can fluctuate rapidly due to market forces, news events, or changes in investor sentiment. Therefore, understanding the instantaneous value helps investors make informed choices, maximizing their returns and minimizing risks.In the field of calculus, the concept of instantaneous value is closely related to the derivative. The derivative of a function at a specific point provides the instantaneous value of the rate of change of that function. For example, if we have a position function that describes the location of a moving object, the derivative gives us the instantaneous value of its velocity at any point in time. This mathematical approach allows scientists and mathematicians to model and predict behavior in dynamic systems accurately.Moreover, in everyday life, we encounter the instantaneous value in various contexts. When driving, we often glance at the speedometer to check our car's speed. The reading we see is the instantaneous value of our speed at that exact moment. This information is critical for ensuring that we adhere to speed limits and drive safely.In conclusion, the concept of instantaneous value is integral to many fields, from physics and engineering to economics and mathematics. It provides a snapshot of a variable at a specific point in time, allowing for precise analysis and decision-making. Whether we are monitoring the safety of a bridge, making investment choices, or calculating rates of change in calculus, understanding the instantaneous value equips us with the tools necessary to navigate complex systems effectively. As we continue to explore the intricacies of our world, the significance of instantaneous value will undoubtedly remain a key component in our quest for knowledge and understanding.

在物理和数学领域，瞬时值的概念在理解系统在任何给定时刻的行为中起着至关重要的作用。这个术语指的是某个变量在特定时间点的值，而不是在一个区间内的值。例如，当我们谈论汽车的速度时，我们通常指的是它在某一特定时刻的瞬时值，而不是它在某段距离上的平均速度。这一区别对于准确描述运动和变化至关重要。瞬时值的重要性可以通过各种现实世界的应用来说明。例如，在工程学中，了解桥梁在某一时刻的瞬时值应力可以帮助工程师评估结构是否安全。如果应力超过了材料的极限，可能会导致灾难性的失败。因此，监测瞬时值应力对于维护土木工程项目的安全和完整性至关重要。同样，在经济学中，股票或货币的瞬时值可以影响投资决策。投资者通常查看资产的瞬时值来判断是否是买入或卖出的好时机。由于市场力量、新闻事件或投资者情绪的变化，这一数值可能迅速波动。因此，理解瞬时值帮助投资者做出明智的选择，最大化回报并最小化风险。在微积分领域，瞬时值的概念与导数密切相关。函数在特定点的导数提供了该函数变化率的瞬时值。例如，如果我们有一个描述移动物体位置的函数，导数给出了其在任意时刻的瞬时值速度。这种数学方法使科学家和数学家能够准确地建模和预测动态系统中的行为。此外，在日常生活中，我们在各种情况下都会遇到瞬时值。开车时，我们常常瞥一眼速度表以检查汽车的速度。我们看到的读数就是我们速度的瞬时值。这一信息对于确保我们遵守限速并安全驾驶至关重要。总之，瞬时值的概念在许多领域中都是不可或缺的，从物理学和工程学到经济学和数学。它提供了特定时刻变量的快照，使得精确分析和决策成为可能。无论我们是在监测桥梁的安全、进行投资选择，还是在微积分中计算变化率，理解瞬时值都为我们提供了有效应对复杂系统所需的工具。随着我们继续探索世界的复杂性，瞬时值的重要性无疑将继续作为我们追求知识和理解的关键组成部分。