degree of approximation

简明释义

近似度

英英释义

例句

1.The mathematician explained the degree of approximation in relation to numerical methods.

数学家解释了与数值方法相关的近似程度。

2.The scientist reported that the model had a high degree of approximation to the actual data.

科学家报告称该模型与实际数据的近似程度很高。

3.In engineering, the degree of approximation can determine the safety of a structure.

在工程中，近似程度可以决定结构的安全性。

4.When estimating costs, we consider the degree of approximation to ensure accuracy.

在估算成本时，我们考虑近似程度以确保准确性。

5.For practical applications, a lower degree of approximation is often acceptable.

对于实际应用，较低的近似程度通常是可以接受的。

作文

In the realm of mathematics and science, the concept of approximation plays a crucial role in simplifying complex problems. One of the key terms associated with this idea is the degree of approximation, which refers to how close a given estimate or calculation is to the actual value. Understanding this concept is essential for students and professionals alike, as it allows for better decision-making and analysis in various fields.For instance, when engineers design a bridge, they must consider many factors, including materials, load capacity, and environmental conditions. The calculations involved in these designs often require approximations due to the complexity of real-world variables. Here, the degree of approximation becomes significant; it indicates how accurately the engineer's model represents the physical structure. A higher degree of approximation would mean that the model closely resembles the actual behavior of the bridge under various conditions, leading to safer and more effective designs.Similarly, in the field of economics, analysts frequently use statistical models to predict market trends. These models rely on historical data and certain assumptions, which may not always hold true in the future. The degree of approximation in economic forecasts helps economists understand the reliability of their predictions. A low degree of approximation might suggest that the forecast is highly uncertain, prompting policymakers to exercise caution when making decisions based on these predictions.Moreover, the degree of approximation is not limited to technical fields; it also applies to everyday life. Consider a scenario where someone is trying to estimate the time it will take to complete a project. If they say it will take two hours but it actually takes three, the degree of approximation in their estimation is one hour. This discrepancy can affect planning and resource allocation, demonstrating that even simple estimates can have significant implications.In scientific research, the degree of approximation is vital for validating hypotheses and theories. Researchers often rely on models that simplify reality to test their ideas. The closer the model's predictions align with experimental results, the higher the degree of approximation. This alignment builds confidence in the research findings and can lead to further exploration and discovery.In conclusion, the degree of approximation is a fundamental concept that transcends various disciplines. It serves as a benchmark for assessing the accuracy of estimates and models, influencing decisions in engineering, economics, daily life, and scientific research. By recognizing the importance of the degree of approximation, individuals can enhance their analytical skills and make more informed choices, ultimately leading to better outcomes in both professional and personal contexts.

在数学和科学领域，近似的概念在简化复杂问题中发挥着至关重要的作用。与这一思想相关的一个关键术语是近似程度，它指的是给定估计或计算与实际值之间的接近程度。理解这个概念对于学生和专业人士来说都是至关重要的，因为它使得在各个领域做出更好的决策和分析成为可能。例如，当工程师设计一座桥时，他们必须考虑许多因素，包括材料、承载能力和环境条件。这些设计中的计算通常由于现实变量的复杂性而需要近似。在这里，近似程度变得非常重要；它表明工程师的模型与物理结构的实际表现有多接近。较高的近似程度意味着模型在各种条件下与桥的实际行为非常相似，从而导致更安全和更有效的设计。同样，在经济学领域，分析师经常使用统计模型来预测市场趋势。这些模型依赖于历史数据和某些假设，而这些假设在未来并不总是成立。经济预测中的近似程度帮助经济学家理解其预测的可靠性。低近似程度可能表明预测高度不确定，促使政策制定者在根据这些预测做出决策时保持谨慎。此外，近似程度并不限于技术领域；它也适用于日常生活。考虑一个场景，有人试图估算完成一个项目所需的时间。如果他们说需要两个小时，但实际上需要三个小时，那么他们估算中的近似程度就是一个小时。这种差异可能影响计划和资源分配，表明即使是简单的估算也可能具有重要的影响。在科学研究中，近似程度对于验证假设和理论至关重要。研究人员通常依赖于简化现实的模型来测试他们的想法。模型的预测与实验结果越接近，近似程度就越高。这种一致性增强了对研究结果的信心，并可能导致进一步的探索和发现。总之，近似程度是一个超越各学科的基本概念。它作为评估估计和模型准确性的基准，影响着工程、经济学、日常生活和科学研究中的决策。通过认识到近似程度的重要性，个人可以提高他们的分析技能，并做出更明智的选择，最终在专业和个人背景中获得更好的结果。