first approximation

简明释义

一次近似值初步近似

英英释义

例句

1.In physics, we often use a first approximation to simplify complex problems.

在物理学中，我们常常使用初步近似来简化复杂问题。

2.The engineer provided a first approximation of the load-bearing capacity of the structure.

工程师提供了该结构承载能力的初步近似。

3.To estimate the budget, we can use a first approximation based on last year's expenses.

为了估算预算，我们可以根据去年的开支使用初步近似。

4.The first approximation of the model predicts an increase in temperature.

该模型的初步近似预测温度将上升。

5.When solving this equation, let's start with a first approximation to find a solution quickly.

在解决这个方程时，让我们先用初步近似快速找到一个解。

作文

In the world of science and mathematics, we often encounter complex problems that seem insurmountable at first glance. However, through a methodical approach, we can break these problems down into more manageable parts. One of the key strategies in this process is to develop a first approximation, which serves as a preliminary estimation or guess regarding the solution to a problem. This concept is not only applicable in theoretical scenarios but also has practical implications in various fields such as engineering, economics, and even everyday decision-making. To illustrate the importance of a first approximation, consider the example of engineers designing a new bridge. Initially, they may not know the precise materials required or the specific dimensions that would ensure the bridge's safety and functionality. By creating a first approximation of the bridge's design, they can make initial calculations based on average values and standard practices. This allows them to visualize the project and identify potential challenges early in the process. The first approximation acts as a foundation upon which further refinements can be made. Once the engineers have their initial design, they can conduct simulations and gather data to improve their model. This iterative process of refining the first approximation leads to a more accurate and reliable final product. Thus, the initial guess is not merely a random stab in the dark; it is a crucial step in a larger analytical framework.In economics, the concept of a first approximation is equally relevant. Economists often use simplified models to predict market behavior. For instance, when analyzing supply and demand, they might start with a first approximation that assumes all other variables remain constant. This simplification allows them to focus on the relationship between price and quantity without getting bogged down by every possible factor. While this may not reflect the complexities of real-world economics, it provides a useful starting point for deeper analysis.Moreover, in our daily lives, we constantly make decisions based on first approximations. When planning a budget, for example, we might estimate our monthly expenses based on previous spending patterns. This first approximation helps us create a financial plan that we can adjust as we gather more information about our actual spending habits. It’s a way of navigating uncertainty and making informed choices without having all the details at hand.In conclusion, the concept of a first approximation is an invaluable tool across various disciplines. Whether in engineering, economics, or personal decision-making, it allows us to tackle complex problems with a structured approach. By recognizing that our initial estimates are just that—estimates—we open the door to continuous improvement and refinement. The first approximation serves as a stepping stone towards achieving greater accuracy and understanding in our endeavors. Therefore, embracing this concept can enhance our problem-solving skills and lead to more effective outcomes in both professional and personal contexts.

在科学和数学的世界中，我们经常会遇到复杂的问题，这些问题在初看时似乎难以克服。然而，通过系统的方法，我们可以将这些问题分解为更易于管理的部分。在这个过程中，制定一个初步近似值是关键策略之一，它作为对问题解决方案的初步估计或猜测。这个概念不仅适用于理论场景，在工程、经济学甚至日常决策等各个领域也有实际意义。为了说明初步近似值的重要性，考虑一下工程师设计新桥的例子。起初，他们可能不知道所需的确切材料或确保桥梁安全和功能所需的特定尺寸。通过创建桥梁设计的初步近似值，他们可以根据平均值和标准做法进行初步计算。这使他们能够可视化项目并在过程早期识别潜在挑战。初步近似值作为进一步改进的基础。一旦工程师们有了初步设计，他们可以进行模拟并收集数据，以改进他们的模型。这种对初步近似值进行精细化的迭代过程导致最终产品更加准确和可靠。因此，最初的猜测不仅仅是一次随机的尝试；它是更大分析框架中的关键步骤。在经济学中，初步近似值的概念同样相关。经济学家经常使用简化模型来预测市场行为。例如，在分析供需关系时，他们可能会从假设所有其他变量保持不变的初步近似值开始。这种简化使他们能够专注于价格和数量之间的关系，而不被每一个可能的因素所困扰。虽然这可能无法反映现实经济的复杂性，但它提供了更深入分析的有用起点。此外，在我们的日常生活中，我们不断基于初步近似值做出决策。例如，在规划预算时，我们可能会根据以往的消费模式估算我们的月支出。这个初步近似值帮助我们制定一个财务计划，我们可以在获得更多关于实际消费习惯的信息后进行调整。这是一种在不掌握所有细节的情况下应对不确定性并做出明智选择的方法。总之，初步近似值的概念在各个学科中都是一种宝贵的工具。无论是在工程、经济学还是个人决策中，它都使我们能够以结构化的方法处理复杂问题。通过认识到我们的初始估计仅仅是估计，我们为持续改进和细化打开了大门。初步近似值作为实现更高准确性和理解的垫脚石。因此，拥抱这一概念可以增强我们的解决问题的能力，并在专业和个人环境中带来更有效的结果。