permissible error

简明释义

容许误差

英英释义

例句

1.In statistics, researchers often report a permissible error level to indicate the reliability of their findings.

在统计学中，研究人员通常报告一个可接受的误差水平，以表明其发现的可靠性。

2.When calibrating instruments, it is important to consider the permissible error to maintain accuracy.

在校准仪器时，考虑可接受的误差以保持准确性是很重要的。

3.The lab results showed a permissible error margin that fell within acceptable limits.

实验室结果显示，误差范围在可接受的限制内，即存在可接受的误差。

4.In engineering, a permissible error is often defined to ensure safety and reliability in structures.

在工程中，可接受的误差通常被定义为确保结构的安全性和可靠性。

5.During the quality control process, we allow a permissible error of 2% in product dimensions.

在质量控制过程中，我们允许产品尺寸有2%的可接受的误差。

作文

In the realm of science and engineering, accuracy is paramount. However, it is often impossible to achieve absolute precision due to various factors such as measurement limitations, environmental influences, and human error. This is where the concept of permissible error comes into play. The term permissible error refers to the acceptable range of error in a measurement or calculation. It acknowledges that while we strive for accuracy, some degree of error is tolerable and can be accounted for in our analyses. Understanding permissible error is crucial for professionals in fields like physics, chemistry, and engineering, as it helps them determine the reliability of their results.For instance, consider a scenario in which an engineer is designing a bridge. The materials used, the load it must support, and the environmental conditions all contribute to the complexity of ensuring the structure's safety. During the design process, engineers must calculate various parameters, including stress, strain, and load distribution. However, these calculations are subject to permissible error due to the inherent uncertainties in material properties and external conditions. By defining a permissible error range, engineers can ensure that their designs remain safe and functional, even if the exact measurements deviate slightly from the ideal.In addition to engineering, the concept of permissible error is also prevalent in statistical analysis. When researchers conduct experiments or surveys, they often deal with sample data rather than the entire population. This leads to variations and potential inaccuracies in the results. By establishing a permissible error, researchers can communicate the degree of uncertainty associated with their findings. For example, a survey may report that a candidate has a 60% approval rating with a permissible error of ±3%. This means that the true approval rating could reasonably fall between 57% and 63%, allowing for more informed interpretations of the data.Moreover, the concept of permissible error extends beyond technical fields and infiltrates everyday decision-making. In our daily lives, we often make choices based on estimates and approximations. For instance, when budgeting for a project, one might allocate a certain amount for unexpected expenses, acknowledging that there will be a permissible error in their initial cost projections. This mindset fosters adaptability and helps individuals navigate uncertainties in various aspects of life.In conclusion, the idea of permissible error is integral to both scientific endeavors and everyday decision-making. It serves as a reminder that perfection is unattainable, and that understanding and accepting a certain level of error can lead to better outcomes. As we continue to engage with complex systems, whether in engineering, research, or personal finance, recognizing the role of permissible error allows us to approach challenges with a balanced perspective and a greater appreciation for the nuances of accuracy and precision. Ultimately, embracing the concept of permissible error not only enhances our professional practices but also enriches our personal lives by encouraging thoughtful consideration of the uncertainties we face.

在科学和工程领域，准确性至关重要。然而，由于测量限制、环境影响和人为错误等各种因素，通常不可能实现绝对的精确。这就是可接受误差概念发挥作用的地方。术语可接受误差指的是测量或计算中可接受的误差范围。它承认虽然我们努力追求准确性，但某种程度的误差是可以容忍的，并且可以在我们的分析中加以考虑。理解可接受误差对物理、化学和工程等领域的专业人士至关重要，因为它帮助他们确定结果的可靠性。例如，考虑一个工程师设计桥梁的场景。所用材料、必须承受的负载和环境条件都增加了确保结构安全的复杂性。在设计过程中，工程师必须计算各种参数，包括应力、应变和载荷分布。然而，由于材料特性和外部条件的固有不确定性，这些计算会受到可接受误差的影响。通过定义一个可接受误差范围，工程师可以确保他们的设计在实际测量略微偏离理想值的情况下仍然保持安全和功能性。除了工程，可接受误差的概念在统计分析中也很常见。当研究人员进行实验或调查时，他们通常处理样本数据而不是整个群体。这导致结果中的变化和潜在的不准确性。通过建立一个可接受误差，研究人员可以传达与其发现相关的不确定性程度。例如，一项调查可能报告某候选人的支持率为60%，并具有±3%的可接受误差。这意味着真实的支持率可能合理地落在57%到63%之间，从而使数据的解释更加明智。此外，可接受误差的概念超越了技术领域，渗透到日常决策中。在我们的日常生活中，我们经常根据估算和近似值做出选择。例如，在为项目预算时，人们可能会为意外开支分配一定金额，承认初始成本预测中会存在可接受误差。这种思维方式促进了适应能力，帮助个人在生活的各个方面应对不确定性。总之，可接受误差的概念是科学事业和日常决策中不可或缺的一部分。它提醒我们完美是无法实现的，理解和接受一定程度的误差可以带来更好的结果。随着我们继续与复杂系统互动，无论是在工程、研究还是个人财务方面，认识到可接受误差的作用使我们能够以更平衡的视角应对挑战，并更深刻地欣赏准确性和精确性的细微差别。最终，接受可接受误差的概念不仅增强了我们的专业实践，还通过鼓励对我们面临的不确定性进行深思熟虑的考虑，丰富了我们的个人生活。