initial condition

简明释义

起始条件

英英释义

例句

1.In a game, the player's initial condition determines their starting resources and abilities.

在游戏中，玩家的初始条件决定了他们的起始资源和能力。

2.The model's predictions were off because the initial condition was incorrectly defined.

模型的预测偏差是因为初始条件定义不正确。

3.In physics, the initial condition refers to the state of a system at the starting point of an observation.

在物理学中，初始条件指的是观察开始时系统的状态。

4.The simulation will only be accurate if the initial condition is set correctly.

如果初始条件设置不正确，模拟将不会准确。

5.To solve this differential equation, we need to specify the initial condition for the variable.

要解这个微分方程，我们需要为变量指定初始条件。

作文

In the realm of science and mathematics, the term initial condition refers to the values or state of a system at the beginning of a process or experiment. Understanding initial conditions is crucial as they often dictate the behavior and outcome of dynamic systems. For instance, in physics, when studying motion, the initial condition of an object, such as its position and velocity, will determine how it moves over time. This principle is not limited to physics; it extends into various fields including economics, biology, and engineering.Consider the example of a simple pendulum. The way the pendulum swings is heavily influenced by its initial condition. If we release the pendulum from a higher angle, it will have a different trajectory compared to if we let it go from a lower angle. Therefore, the initial condition directly affects the energy and momentum of the system, showcasing the importance of this concept in predicting outcomes.In the field of weather forecasting, initial conditions play a vital role in modeling atmospheric phenomena. Meteorologists use current weather data as initial conditions to run simulations that predict future weather patterns. A small error in these initial conditions can lead to vastly different forecasts, highlighting the sensitivity of complex systems to their starting points.Moreover, in the study of differential equations, initial conditions are essential for finding unique solutions. When solving a differential equation, specifying the initial condition allows us to determine a particular solution rather than a general one. This is particularly important in fields such as engineering, where precise calculations are necessary for the design and analysis of structures and systems.In economics, initial conditions can refer to the starting point of an economic model, such as the level of resources, technology, or policy environment. These conditions can significantly influence the trajectory of economic growth or decline. For example, a country with abundant natural resources may experience different economic outcomes compared to a country with limited resources, depending on their respective initial conditions.In conclusion, the concept of initial condition is fundamental across various disciplines. Whether it is in physical sciences, meteorology, mathematics, or economics, understanding the initial conditions allows researchers and practitioners to make informed predictions and decisions. By carefully analyzing and defining these initial conditions, we can gain insights into the behavior of complex systems and improve our ability to forecast future events. The significance of initial conditions cannot be overstated, as they are often the key to unlocking the mysteries of dynamic processes and systems that govern our world.

在科学和数学的领域中，术语初始条件指的是一个系统在过程或实验开始时的值或状态。理解初始条件至关重要，因为它们通常决定了动态系统的行为和结果。例如，在物理学中，当研究运动时，物体的初始条件，例如其位置和速度，将决定它随时间的运动。这一原理并不限于物理学；它扩展到包括经济学、生物学和工程学等多个领域。考虑一个简单的摆的例子。摆的摆动方式受其初始条件的影响很大。如果我们从较高的角度释放摆，它的轨迹与从较低的角度释放时将有所不同。因此，初始条件直接影响系统的能量和动量，展示了这一概念在预测结果中的重要性。在天气预报领域，初始条件在建模大气现象中发挥着至关重要的作用。气象学家使用当前的天气数据作为初始条件来运行模拟，以预测未来的天气模式。这些初始条件中的小错误可能导致截然不同的预报，突显了复杂系统对其起始点的敏感性。此外，在微分方程的研究中，初始条件对于找到唯一解是必不可少的。在求解微分方程时，指定初始条件使我们能够确定特定解而不是一般解。这在工程等领域尤为重要，因为精确的计算对于结构和系统的设计与分析是必要的。在经济学中，初始条件可以指经济模型的起点，例如资源水平、技术或政策环境。这些条件可以显著影响经济增长或衰退的轨迹。例如，一个拥有丰富自然资源的国家可能会经历与一个资源有限的国家不同的经济结果，这取决于各自的初始条件。总之，初始条件的概念在各个学科中都是基础性的。无论是在物理科学、气象学、数学还是经济学中，理解初始条件使研究人员和从业者能够做出明智的预测和决策。通过仔细分析和定义这些初始条件，我们可以深入了解复杂系统的行为，并提高我们预测未来事件的能力。初始条件的重要性不容小觑，因为它们往往是揭示支配我们世界的动态过程和系统奥秘的关键。