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 at a specific moment.

在物理学中，速度的瞬时值对于理解特定时刻的运动至关重要。

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

传感器提供了温度的瞬时值，允许进行实时监测。

3.To improve efficiency, the machine adjusts its operation based on the instantaneous value of energy consumption.

为了提高效率，机器根据能耗的瞬时值调整其操作。

4.The software calculates the instantaneous value of the stock price every second.

该软件每秒计算一次股票价格的瞬时值。

5.The instantaneous value of pressure in the pipeline is monitored to prevent leaks.

管道中的压力的瞬时值被监测以防止泄漏。

作文

In the realm of science and mathematics, the term instantaneous value refers to the value of a quantity at a specific moment in time. This concept is particularly important in fields such as physics, where understanding how an object behaves at any given instant can lead to deeper insights into its motion and forces acting upon it. For instance, when we analyze the speed of a car, we often want to know its instantaneous value of speed rather than its average speed over a longer distance. The instantaneous value allows us to gauge how fast the car is moving at that precise moment, which can be crucial for safety and performance assessments. To illustrate this further, consider the example of a roller coaster. As the ride ascends and descends, the speeds vary significantly. Engineers must calculate the instantaneous value of the coaster's speed at various points to ensure that the ride is safe. If the instantaneous value of speed exceeds certain limits during a drop, it could pose a risk to riders. Therefore, understanding these values helps in designing rides that are thrilling yet safe. Mathematically, the concept of instantaneous value is often represented using calculus, specifically through the derivative. When we take the derivative of a position function with respect to time, we obtain the instantaneous value of velocity. This mathematical approach provides a powerful tool for analyzing changes in quantities over infinitesimally small intervals, allowing scientists and engineers to predict behavior accurately. Moreover, the instantaneous value is not limited to just speed or velocity; it can apply to various physical quantities, such as temperature, pressure, and even financial metrics like stock prices. In finance, investors may look at the instantaneous value of a stock at a particular moment to make quick decisions about buying or selling. This reflects the importance of real-time data in making informed choices in a rapidly changing market. In conclusion, the concept of instantaneous value plays a vital role in multiple disciplines, from physics and engineering to finance and economics. By understanding the instantaneous value of different quantities, we can make better predictions and decisions based on precise measurements at specific moments. Whether it’s ensuring safety in amusement park rides or making strategic investments in the stock market, grasping the significance of the instantaneous value empowers us to navigate our world more effectively. Thus, the ability to analyze and interpret these values is essential for anyone engaged in scientific inquiry or practical applications in their respective fields.

在科学和数学领域，术语瞬时值指的是某一特定时刻量的值。这个概念在物理等领域尤为重要，因为理解一个物体在任何给定瞬间的行为可以深入了解其运动及作用于其上的力。例如，当我们分析一辆汽车的速度时，我们往往想知道它的瞬时值而不是其在更长距离上的平均速度。瞬时值使我们能够评估汽车在那个精确时刻的行驶速度，这对于安全和性能评估至关重要。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，速度会显著变化。工程师必须计算过山车在各个点的瞬时值速度，以确保游乐设施的安全。如果在下落过程中瞬时值速度超过某些限制，可能会对乘客构成风险。因此，理解这些值有助于设计既刺激又安全的游乐设施。在数学上，瞬时值的概念通常通过微积分表示，特别是通过导数。当我们对位置函数关于时间求导时，我们得到速度的瞬时值。这种数学方法为分析量在无穷小区间内的变化提供了强大的工具，使科学家和工程师能够准确预测行为。此外，瞬时值不仅限于速度或速率；它可以应用于各种物理量，如温度、压力，甚至金融指标如股票价格。在金融领域，投资者可能会查看某一时刻股票的瞬时值来快速做出买入或卖出的决策。这反映了实时数据在快速变化的市场中做出明智选择的重要性。总之，瞬时值的概念在多个学科中发挥着至关重要的作用，从物理和工程到金融和经济。通过理解不同量的瞬时值，我们可以根据特定时刻的精确测量做出更好的预测和决策。无论是在游乐园游乐设施中确保安全，还是在股票市场进行战略投资，掌握瞬时值的重要性使我们能够更有效地驾驭我们的世界。因此，分析和解释这些值的能力对于从事科学研究或其各自领域的实际应用的人来说是至关重要的。