instantaneous value

简明释义

瞬时值

英英释义

例句

1.To improve performance, athletes often monitor their instantaneous value of heart rate during workouts.

为了提高表现，运动员通常在训练中监测他们的心率的瞬时值。

2.The sensor measures the instantaneous value of temperature, which is crucial for accurate readings.

传感器测量温度的瞬时值，这对准确读数至关重要。

3.The app provides users with the instantaneous value of air quality based on real-time data.

该应用程序根据实时数据向用户提供空气质量的瞬时值。

4.The instantaneous value of current in an electrical circuit can fluctuate rapidly.

电路中电流的瞬时值可能会迅速波动。

5.In physics, the instantaneous value of velocity can be determined using calculus.

在物理学中，速度的瞬时值可以通过微积分来确定。

作文

In the realm of physics and mathematics, the term instantaneous value refers to the value of a quantity at a specific moment in time. This concept is crucial in various fields, including calculus, where it helps us understand the behavior of functions at particular points. For instance, when we talk about the speed of a car, we often refer to its instantaneous value of speed at a given moment rather than its average speed over an entire journey. This distinction is vital because it allows us to analyze motion more accurately and understand how variables change in real-time.To illustrate this further, consider the example of a roller coaster. As the ride ascends and descends, the speed of the coaster changes continuously. The instantaneous value of the coaster's speed at the peak of the ascent is significantly lower than at the bottom of a steep drop. By measuring these values at specific points, engineers can design safer and more thrilling rides, ensuring that the forces experienced by riders remain within safe limits.In mathematics, particularly in calculus, the concept of instantaneous value is often represented by the derivative of a function. The derivative gives us the rate of change of a function at any given point, providing insights into how the function behaves at that instant. For example, if we have a function that represents the height of a ball thrown into the air, the instantaneous value of its height at any given time can be determined by calculating the derivative of that function. This allows us to predict the ball's position at any moment during its flight.Moreover, the idea of instantaneous value extends beyond physics and mathematics into everyday life. For example, when monitoring heart rates during exercise, one might look at the instantaneous value of the heart rate to determine if it is within a healthy range. This real-time data is crucial for athletes and individuals who are conscious of their health, as it helps them make informed decisions about their physical activities.In economics, the instantaneous value of a stock or commodity can provide investors with critical information. Traders often rely on real-time data to make quick decisions based on the instantaneous value of stocks, which can fluctuate dramatically within seconds. This emphasizes the importance of having access to accurate, up-to-the-moment information in a fast-paced market.In conclusion, the term instantaneous value encapsulates a fundamental concept that is applicable across various disciplines. Whether in physics, mathematics, health, or economics, understanding the instantaneous value of a variable allows us to make more precise analyses and informed decisions. It highlights the significance of time in measuring and interpreting data, reminding us that every moment can yield valuable insights that shape our understanding of the world around us.

在物理和数学领域，术语瞬时值指的是某一特定时刻量的数值。这个概念在微积分等多个领域中至关重要，它帮助我们理解函数在特定点的行为。例如，当我们谈论汽车的速度时，我们通常指的是其在某一时刻的瞬时值而不是整个旅程的平均速度。这一区别是至关重要的，因为它使我们能够更准确地分析运动并理解变量如何实时变化。为了进一步说明这一点，考虑过山车的例子。当游乐设施上升和下降时，过山车的速度不断变化。过山车在上升峰顶时的瞬时值速度明显低于在陡峭下坡底部的速度。通过在特定点测量这些值，工程师可以设计出更安全、更刺激的游乐设施，确保乘客所经历的力保持在安全范围内。在数学中，特别是在微积分中，瞬时值的概念通常通过函数的导数来表示。导数给出了函数在任何给定点的变化率，从而提供了关于函数在该瞬间行为的洞察。例如，如果我们有一个表示被抛向空中的球的高度的函数，那么在任何给定时间的瞬时值可以通过计算该函数的导数来确定。这使我们能够预测球在飞行过程中任何时刻的位置。此外，瞬时值的概念不仅限于物理和数学，还延伸到日常生活中。例如，在锻炼过程中监测心率时，人们可能会查看心率的瞬时值以确定其是否在健康范围内。这种实时数据对于运动员和关注健康的人来说至关重要，因为它帮助他们对身体活动做出明智的决策。在经济学中，股票或商品的瞬时值可以为投资者提供关键信息。交易者通常依赖实时数据，基于股票的瞬时值迅速做出决策，这些值可能在几秒钟内剧烈波动。这强调了在快速变化的市场中获取准确、实时信息的重要性。总之，术语瞬时值概括了一个适用于多个学科的基本概念。无论是在物理、数学、健康还是经济学中，理解变量的瞬时值使我们能够进行更精确的分析和明智的决策。它突显了时间在测量和解释数据中的重要性，提醒我们每一刻都能产生有价值的洞察，塑造我们对周围世界的理解。