maximal error

简明释义

最大误差

英英释义

例句

1.The maximal error 最大误差 in this simulation could lead to significant discrepancies in the results.

这次模拟中的最大误差 maximal error 可能会导致结果出现重大差异。

2.To ensure accuracy, we need to calculate the maximal error 最大误差 in our measurements.

为了确保准确性，我们需要计算我们的测量中的最大误差 maximal error 。

3.The study reported a maximal error 最大误差 of 2% in the final results.

该研究报告最终结果的最大误差 maximal error 为2%。

4.The algorithm was tested under various conditions, and the maximal error 最大误差 observed was within acceptable limits.

该算法在各种条件下进行了测试，观察到的最大误差 maximal error 在可接受范围内。

5.Engineers must account for the maximal error 最大误差 when designing precision instruments.

工程师在设计精密仪器时必须考虑最大误差 maximal error 。

作文

In the field of science and engineering, precision is crucial. Whether it’s measuring the temperature of a substance or determining the speed of a moving object, the accuracy of these measurements can significantly impact the results and conclusions drawn from experiments. One important concept that helps us understand the reliability of our measurements is the idea of maximal error, which refers to the largest possible error that could occur in a measurement. This concept is essential for assessing the quality of data and ensuring that experiments yield valid results.When conducting experiments, scientists often rely on various instruments to gather data. Each instrument has its own limitations and potential sources of error. For instance, a thermometer might have a calibration error that causes it to read temperatures slightly higher or lower than the actual value. The maximal error of this thermometer would be the maximum deviation from the true temperature that could be expected due to these inaccuracies. By understanding the maximal error, researchers can determine how much trust to place in their measurements and whether they need to take additional steps to improve accuracy.Consider a scenario where an engineer is designing a bridge. The safety and integrity of the structure depend heavily on precise calculations. Engineers must account for various factors, such as the weight the bridge will bear, environmental conditions, and material properties. If the maximal error in their calculations is too large, it could lead to a design that is either overbuilt, wasting resources, or underbuilt, risking structural failure. Therefore, understanding and minimizing the maximal error in their calculations is vital for the successful completion of the project.Moreover, in statistical analysis, the concept of maximal error plays a significant role. When analyzing data sets, statisticians often calculate confidence intervals to estimate the range within which a population parameter lies. The width of this interval is influenced by the maximal error associated with the sample data. A smaller maximal error indicates more reliable estimates, while a larger one suggests greater uncertainty. Thus, when presenting findings, researchers must communicate the maximal error to provide context for their conclusions.In summary, the concept of maximal error is fundamental in various fields, including science, engineering, and statistics. It serves as a critical indicator of the reliability and accuracy of measurements and calculations. By understanding and addressing the maximal error, professionals can enhance the quality of their work, leading to better outcomes in research and practical applications. As we continue to advance in technology and methodology, recognizing the importance of maximal error will remain essential for ensuring that our findings and designs are both accurate and reliable.

在科学和工程领域，精确性至关重要。无论是测量物质的温度还是确定移动物体的速度，这些测量的准确性都可能显著影响实验得出的结果和结论。一个帮助我们理解测量可靠性的关键概念是最大误差，它指的是测量中可能发生的最大误差。这个概念对于评估数据质量和确保实验产生有效结果至关重要。在进行实验时，科学家们通常依赖各种仪器来收集数据。每种仪器都有其自身的局限性和潜在的误差来源。例如，温度计可能存在校准误差，导致其读数比实际值高或低一些。这个温度计的最大误差将是由于这些不准确性而可能预期的与真实温度的最大偏差。通过理解最大误差，研究人员可以确定对其测量结果的信任程度，以及是否需要采取额外措施来提高准确性。考虑一个工程师设计桥梁的场景。结构的安全性和完整性在很大程度上依赖于精确的计算。工程师必须考虑各种因素，例如桥梁承受的重量、环境条件和材料特性。如果他们计算中的最大误差过大，可能会导致设计过于坚固，浪费资源，或者设计过于薄弱，存在结构失效的风险。因此，理解和最小化他们计算中的最大误差对于项目的成功完成至关重要。此外，在统计分析中，最大误差的概念也发挥着重要作用。当分析数据集时，统计学家通常计算置信区间，以估计一个总体参数可能存在的范围。这个区间的宽度受到样本数据的最大误差的影响。较小的最大误差表示更可靠的估计，而较大的最大误差则表明更大的不确定性。因此，在呈现研究结果时，研究人员必须传达最大误差以为他们的结论提供背景。总之，最大误差的概念在科学、工程和统计等多个领域中都是基础性的。它作为测量和计算可靠性和准确性的关键指标。通过理解和解决最大误差，专业人士可以提高他们工作的质量，从而在研究和实际应用中获得更好的结果。随着我们在技术和方法上的不断进步，认识到最大误差的重要性将继续是确保我们的发现和设计既准确又可靠的关键。