permissible error

简明释义

允许偏差

英英释义

例句

1.In engineering, a permissible error is allowed in measurements to account for slight inaccuracies.

在工程中，允许在测量中存在一定的可容忍误差以考虑轻微的不准确性。

2.For financial reports, auditors check if the permissible error exceeds acceptable limits.

对于财务报告，审计师检查可容忍误差是否超过可接受的限制。

3.When conducting surveys, researchers often define a permissible error to ensure data reliability.

在进行调查时，研究人员通常会定义一个可容忍误差以确保数据的可靠性。

4.The quality control department set a permissible error of 2% for product weight.

质量控制部门为产品重量设定了2%的可容忍误差。

5.In statistical analysis, a permissible error helps in determining the margin of error in results.

在统计分析中，可容忍误差有助于确定结果中的误差范围。

作文

In the realm of mathematics and science, precision is paramount. However, it is often impossible to achieve absolute accuracy in measurements and calculations. This is where the concept of permissible error comes into play. The term permissible error (可容许误差) refers to the maximum allowable deviation from a true value or standard that can be accepted in a given context without compromising the integrity of the results. Understanding this concept is essential for students, researchers, and professionals alike, as it helps them gauge the reliability of their measurements and analyses.For instance, consider a scenario in a laboratory setting where a chemist is conducting an experiment to determine the concentration of a solution. The chemist uses a specific instrument that has a known margin of error. If the instrument indicates a concentration of 5.00 M with a permissible error (可容许误差) of ±0.05 M, it means that the actual concentration could range anywhere from 4.95 M to 5.05 M. This range is crucial for the chemist to understand because it informs them whether their results are within acceptable limits or if further investigation is needed.The significance of permissible error (可容许误差) extends beyond the laboratory. In engineering, for example, when designing structures such as bridges or buildings, engineers must account for potential errors in their calculations. A bridge designed to support a weight of 100 tons may have a permissible error (可容许误差) of 1 ton. This allowance ensures that the structure remains safe and functional even if the actual load slightly exceeds the expected weight.Furthermore, in the field of statistics, the concept of permissible error (可容许误差) is vital when interpreting data. When conducting surveys or experiments, researchers often report a margin of error alongside their findings. For instance, a political poll might indicate that a candidate has 55% support with a permissible error (可容许误差) of ±3%. This means that the actual support could be anywhere between 52% and 58%. Understanding this margin helps stakeholders make informed decisions based on the data presented.Moreover, the idea of permissible error (可容许误差) is not limited to quantitative fields. In qualitative research, while the data may not be numerically precise, the concept still applies. Researchers may acknowledge a permissible error (可容许误差) in their interpretations, recognizing that subjective judgments can vary among individuals. This awareness fosters a more nuanced understanding of the findings and encourages critical thinking about the results.In conclusion, the concept of permissible error (可容许误差) is a fundamental aspect of various disciplines, emphasizing the importance of understanding the limits of accuracy in measurements and analyses. Whether in science, engineering, or statistics, recognizing and accounting for permissible error (可容许误差) allows professionals to make informed decisions and maintain the integrity of their work. As we navigate an increasingly complex world, appreciating the nuances of error and precision will be essential for continued progress and innovation.

在数学和科学领域，精确性至关重要。然而，在测量和计算中，往往无法实现绝对准确。这就是可容许误差的概念发挥作用的地方。术语可容许误差（permissible error）指的是在给定上下文中可以接受的与真实值或标准的最大允许偏差，而不会损害结果的完整性。理解这一概念对于学生、研究人员和专业人士来说都是至关重要的，因为它帮助他们评估测量和分析的可靠性。例如，考虑一个化学家在实验室环境中进行实验以确定溶液浓度的场景。化学家使用一种具有已知误差范围的特定仪器。如果仪器显示浓度为5.00 M，且可容许误差（permissible error）为±0.05 M，这意味着实际浓度可能在4.95 M到5.05 M之间波动。这个范围对化学家来说至关重要，因为它告知他们结果是否在可接受的范围内，或者是否需要进一步调查。可容许误差（permissible error）的重要性不仅限于实验室。在工程领域，例如，在设计桥梁或建筑物等结构时，工程师必须考虑计算中可能出现的误差。设计用于承受100吨重量的桥梁可能具有1吨的可容许误差（permissible error）。这一允许范围确保了即使实际负载略微超过预期重量，结构仍然保持安全和功能。此外，在统计学领域，可容许误差（permissible error）概念在解释数据时至关重要。当进行调查或实验时，研究人员通常会在他们的发现中报告误差范围。例如，一项政治民调可能表明某位候选人获得了55%的支持，且有±3%的可容许误差（permissible error）。这意味着实际支持率可能在52%到58%之间。理解这一误差范围有助于利益相关者根据所呈现的数据做出明智的决策。此外，可容许误差（permissible error）这一概念并不限于定量领域。在定性研究中，尽管数据可能没有数字上的精确，但这一概念依然适用。研究人员可能会承认其解释中的可容许误差（permissible error），意识到主观判断在个体之间可能存在差异。这种意识促进了对研究结果的更细致理解，并鼓励对结果进行批判性思考。总之，可容许误差（permissible error）这一概念是各个学科的基本方面，强调了理解测量和分析准确性限制的重要性。无论是在科学、工程还是统计领域，认识和考虑可容许误差（permissible error）使专业人士能够做出明智的决策，并保持其工作的完整性。在我们应对日益复杂的世界时，欣赏误差和精确性的细微差别将对持续的进步和创新至关重要。