allowable error

简明释义

允许偏差

英英释义

例句

1.When calibrating instruments, it is crucial to know the allowable error for precise results.

在校准仪器时，了解允许误差对于获得精确结果至关重要。

2.The software's performance must stay within the allowable error range to meet user expectations.

软件的性能必须保持在允许误差范围内，以满足用户期望。

3.In quality control, products are rejected if they exceed the allowable error limits.

在质量控制中，如果产品超过了允许误差限制，则会被拒绝。

4.The measurement must be within the allowable error to ensure accuracy in the experiment.

测量必须在允许误差范围内，以确保实验的准确性。

5.The engineer calculated the allowable error for the construction project to maintain safety standards.

工程师计算了建筑项目的允许误差以维持安全标准。

作文

In the field of science and engineering, precision is of utmost importance. However, it is essential to recognize that no measurement can be completely free of error. This brings us to the concept of allowable error, which refers to the maximum amount of error that is considered acceptable in a given measurement or calculation. Understanding allowable error is crucial for ensuring the reliability and accuracy of data in various applications.To illustrate the significance of allowable error, let’s consider an example from the manufacturing industry. When producing mechanical components, engineers must adhere to strict tolerances. For instance, if a part is designed to have a diameter of 50 mm, the allowable error might be ±0.5 mm. This means that any part with a diameter between 49.5 mm and 50.5 mm would be deemed acceptable. If the diameter falls outside this range, the part may not fit properly during assembly, leading to potential failures in the final product.In scientific research, allowable error plays a critical role in experimental design. Researchers often establish a margin of error when conducting experiments to account for variability in measurements. For example, if a chemist is measuring the concentration of a solution, they might determine that an allowable error of ±0.01 mol/L is acceptable. This allows them to report their findings with confidence, knowing that slight variations in measurement do not invalidate their results.Moreover, the concept of allowable error is not limited to physical measurements; it also applies to statistical analysis. In statistics, researchers often set a threshold for allowable error when interpreting data. For instance, in hypothesis testing, a common allowable error is the significance level (alpha), which is typically set at 0.05. This means that there is a 5% chance of making a Type I error, which occurs when a true null hypothesis is incorrectly rejected. By understanding and applying allowable error, researchers can make informed decisions based on their data while acknowledging the inherent uncertainties involved.In conclusion, the concept of allowable error is fundamental across various fields, including engineering, science, and statistics. It provides a framework for determining the acceptable limits of error in measurements and calculations, ensuring that results are reliable and valid. By recognizing the importance of allowable error, professionals can enhance the quality of their work and contribute to advancements in their respective fields. As we continue to push the boundaries of knowledge and technology, a thorough understanding of allowable error will remain essential for achieving accurate and meaningful results.

在科学和工程领域，精确性至关重要。然而，必须认识到，没有任何测量可以完全不受误差的影响。这就引出了“允许误差”这一概念，它指的是在给定测量或计算中被认为可接受的最大误差量。理解允许误差对于确保各种应用中数据的可靠性和准确性至关重要。为了说明允许误差的重要性，让我们考虑一个来自制造业的例子。当生产机械部件时，工程师必须遵循严格的公差。例如，如果一个部件的设计直径为50毫米，则允许误差可能为±0.5毫米。这意味着任何直径在49.5毫米到50.5毫米之间的部件都被视为可接受。如果直径超出这个范围，则该部件可能在装配过程中无法正确配合，从而导致最终产品的潜在故障。在科学研究中，允许误差在实验设计中发挥着关键作用。研究人员在进行实验时，通常会设定一个误差范围，以考虑测量中的变异性。例如，如果一位化学家正在测量溶液的浓度，他们可能会确定±0.01 mol/L的允许误差是可以接受的。这使他们能够自信地报告他们的发现，因为知道测量中的细微变化并不会使结果失效。此外，允许误差的概念不仅限于物理测量；它也适用于统计分析。在统计学中，研究人员在解释数据时通常会设定一个允许误差的阈值。例如，在假设检验中，一个常见的允许误差是显著性水平（alpha），通常设定为0.05。这意味着有5%的机会发生第一类错误，即在真实的零假设被错误拒绝时。通过理解和应用允许误差，研究人员可以根据他们的数据做出明智的决策，同时承认所涉及的固有不确定性。总之，允许误差的概念在工程、科学和统计等各个领域都是基础性的。它为确定测量和计算中可接受的误差限提供了框架，确保结果的可靠性和有效性。通过认识到允许误差的重要性，专业人士可以提高其工作质量，并为各自领域的进步做出贡献。随着我们继续推动知识和技术的边界，对允许误差的透彻理解将始终是实现准确和有意义结果的关键。