magnitude of error

简明释义

误差量

英英释义

例句

1.The magnitude of error in the calculations was within acceptable limits.

计算中的误差的大小在可接受的范围内。

2.The scientist calculated the magnitude of error in his measurements to ensure the accuracy of his experiment.

科学家计算了他测量中的误差的大小，以确保实验的准确性。

3.To improve the model, the researchers reduced the magnitude of error in their predictions.

为了改进模型，研究人员减少了他们预测中的误差的大小。

4.The survey results showed a magnitude of error that could affect the final conclusion.

调查结果显示，误差的大小可能会影响最终结论。

5.In engineering, understanding the magnitude of error is crucial for designing safe structures.

在工程学中，了解误差的大小对于设计安全结构至关重要。

作文

In the realm of science and mathematics, precision is paramount. Every calculation, every measurement, and every experiment hinges on accuracy. However, it is essential to recognize that no measurement is entirely free from mistakes. This is where the concept of magnitude of error comes into play. The magnitude of error (误差的大小) refers to the difference between the measured value and the true value. Understanding this concept is crucial for evaluating the reliability of data and the validity of conclusions drawn from experiments.For instance, consider a scenario in a physics lab where students are tasked with measuring the acceleration due to gravity. They use a pendulum and time its swings. Each student might arrive at different values due to various factors such as timing inaccuracies, environmental conditions, or even human error. After conducting several trials, they calculate an average value. However, to assess the credibility of their results, they must analyze the magnitude of error (误差的大小) in their measurements.The magnitude of error can be calculated using the formula: Error = |Measured Value - True Value|.By applying this formula, students can quantify how far off their measurements were from the actual acceleration due to gravity, which is approximately 9.81 m/s². If one student's average measurement was 9.5 m/s², the magnitude of error would be |9.5 - 9.81| = 0.31 m/s². This numerical representation helps them understand the accuracy of their results.Moreover, the magnitude of error (误差的大小) is not just limited to physical sciences. It plays a significant role in fields such as statistics, engineering, and even economics. In statistics, for example, the margin of error in surveys can determine the reliability of public opinion polls. A small magnitude of error indicates that the survey results are likely to reflect the true sentiments of the population, while a large error margin could suggest otherwise.In engineering, the magnitude of error is critical during the design and testing phases of products. Engineers must account for potential errors in measurements to ensure safety and functionality. For instance, if a bridge is designed without considering the magnitude of error in material strength, it could lead to catastrophic failures.In conclusion, the magnitude of error (误差的大小) is a fundamental concept that transcends various disciplines. It serves as a vital tool for assessing the accuracy and reliability of measurements and results. By understanding and calculating the magnitude of error, individuals can make informed decisions based on data, leading to more reliable outcomes in scientific research, engineering projects, and statistical analyses. As we continue to advance in technology and science, the importance of recognizing and minimizing the magnitude of error will only grow, emphasizing the need for precision in our increasingly complex world.

在科学和数学领域，精确性至关重要。每一个计算、每一个测量和每一个实验都依赖于准确性。然而，必须认识到，没有任何测量是完全没有错误的。这就是magnitude of error（误差的大小）这一概念的重要性。magnitude of error指的是测量值与真实值之间的差异。理解这一概念对于评估数据的可靠性和从实验中得出的结论的有效性至关重要。例如，考虑在物理实验室中，学生们被要求测量重力加速度的情景。他们使用摆并计时其摆动。由于计时不准确、环境条件或甚至人为错误等各种因素，每个学生可能会得出不同的值。在进行几次试验后，他们计算出一个平均值。然而，为了评估他们结果的可信度，他们必须分析测量中的magnitude of error（误差的大小）。magnitude of error可以通过以下公式计算：误差 = |测量值 - 真实值|。通过应用这个公式，学生们可以量化他们的测量与实际重力加速度（约为9.81 m/s²）之间的偏差。如果某位学生的平均测量值为9.5 m/s²，则magnitude of error为|9.5 - 9.81| = 0.31 m/s²。这个数值表示帮助他们理解结果的准确性。此外，magnitude of error（误差的大小）不仅限于自然科学。它在统计学、工程学甚至经济学等领域也发挥着重要作用。例如，在统计学中，调查中的误差范围可以决定公众舆论调查的可靠性。小的magnitude of error表明调查结果可能反映了人们的真实情绪，而大的误差范围则可能表明相反。在工程学中，magnitude of error在产品的设计和测试阶段至关重要。工程师必须考虑测量中的潜在误差，以确保安全性和功能性。例如，如果在设计桥梁时未考虑材料强度的magnitude of error，可能会导致灾难性的失败。总之，magnitude of error（误差的大小）是一个超越各个学科的基本概念。它作为评估测量和结果的准确性和可靠性的关键工具。通过理解和计算magnitude of error，个人可以根据数据做出明智的决策，从而在科学研究、工程项目和统计分析中获得更可靠的结果。随着我们在科技和科学方面的不断进步，认识和最小化magnitude of error的重要性只会增加，强调在我们日益复杂的世界中对精确性的需求。