first approximation

简明释义

一次近似值

英英释义

例句

1.For this experiment, the first approximation will help us understand the basic principles involved.

对于这个实验，初步近似将帮助我们理解所涉及的基本原理。

2.The engineer suggested a first approximation of the load capacity before conducting detailed tests.

工程师建议在进行详细测试之前先做一个负载能力的初步近似。

3.When calculating the budget, we need to use a first approximation to estimate our expenses for the year.

在计算预算时，我们需要使用初步近似来估算我们一年的开支。

4.The model provided a first approximation of the population growth rate over the next decade.

该模型提供了未来十年人口增长率的初步近似。

5.In physics, the equation we derived is only a first approximation of the actual behavior of the system.

在物理学中，我们推导出的方程仅是系统实际行为的初步近似。

作文

In the field of science and mathematics, the concept of a first approximation is crucial for understanding complex phenomena. A first approximation refers to an initial estimate or guess that provides a starting point for further analysis. It allows researchers and students alike to simplify intricate problems into more manageable forms, paving the way for deeper exploration and refinement. For instance, when studying the motion of planets in the solar system, scientists may initially use a first approximation by assuming that the planets move in circular orbits around the sun. This simplification helps them to grasp the fundamental principles of celestial mechanics without getting bogged down in the complexities of gravitational interactions. By using this first approximation, they can develop mathematical models that predict planetary positions with reasonable accuracy.However, as research progresses, it becomes evident that such simplifications might not capture all the nuances of reality. The elliptical nature of planetary orbits, influenced by various gravitational forces, necessitates a more refined approach. Thus, the first approximation serves as a stepping stone towards more precise calculations, enabling scientists to adjust their models based on observed data.In everyday life, we often employ first approximations without even realizing it. For example, when planning a budget, one might make a first approximation of monthly expenses based on past spending habits. This initial estimate helps in setting financial goals and making informed decisions. As time goes on, individuals can refine their budgets by analyzing actual expenditures, leading to a more accurate financial plan.Moreover, the importance of first approximations extends beyond academia and personal finance. In engineering, architects might create a first approximation of a building's design to visualize its structure and functionality before delving into intricate details. This preliminary model allows for discussions and modifications, ensuring that the final design meets both aesthetic and practical requirements.The iterative process of refining first approximations is a fundamental aspect of problem-solving across various disciplines. It encourages critical thinking and adaptability, as individuals learn to assess their initial assumptions and make necessary adjustments. This iterative approach is particularly valuable in fields like software development, where programmers often start with a first approximation of a code structure before testing and optimizing it through multiple iterations.In conclusion, the notion of a first approximation plays a vital role in our understanding of the world around us. Whether in scientific research, personal budgeting, or engineering design, these initial estimates provide a framework for exploration and improvement. Embracing the concept of first approximations empowers individuals to tackle complex challenges with confidence and creativity, ultimately leading to more informed decisions and innovative solutions. As we continue to navigate an increasingly complex world, the ability to make and refine first approximations will remain an essential skill in our toolkit.

在科学和数学领域，first approximation的概念对于理解复杂现象至关重要。first approximation指的是一个初步估计或猜测，为进一步分析提供了起点。它使研究人员和学生能够将复杂的问题简化为更易于管理的形式，从而为更深层次的探索和细化铺平了道路。例如，在研究太阳系中行星的运动时，科学家可能最初会通过假设行星围绕太阳以圆形轨道运动来使用first approximation。这种简化帮助他们掌握天体力学的基本原理，而不会陷入引力相互作用的复杂性。通过使用这个first approximation，他们可以开发出合理预测行星位置的数学模型。然而，随着研究的进展，越来越明显的是，这种简化可能无法捕捉现实的所有细微差别。行星轨道的椭圆形特征受各种引力的影响，需要更精细的方法。因此，first approximation作为更精确计算的垫脚石，使科学家能够根据观察到的数据调整他们的模型。在日常生活中，我们常常在不自觉中使用first approximations。例如，在制定预算时，人们可能会根据过去的消费习惯对每月支出做出first approximation。这个初步估计有助于设定财务目标和做出明智的决策。随着时间的推移，个人可以通过分析实际支出来细化他们的预算，从而导致更准确的财务计划。此外，first approximations的重要性超出了学术界和个人财务。在工程学中，建筑师可能会创建一个建筑设计的first approximation，以可视化其结构和功能，然后再深入到复杂的细节中。这种初步模型允许进行讨论和修改，确保最终设计满足美学和实用要求。迭代细化first approximations的过程是各个学科问题解决的基本方面。它鼓励批判性思维和适应能力，因为个人学习评估他们的初步假设并进行必要的调整。这种迭代方法在软件开发等领域尤其有价值，程序员通常从代码结构的first approximation开始，然后通过多次迭代进行测试和优化。总之，first approximation的概念在我们理解周围世界中发挥着至关重要的作用。无论是在科学研究、个人预算还是工程设计中，这些初步估计提供了探索和改进的框架。接受first approximations的概念使个人能够自信和创造性地应对复杂挑战，最终导致更明智的决策和创新的解决方案。随着我们继续在日益复杂的世界中导航，进行和细化first approximations的能力将始终是我们工具箱中的一项基本技能。