allowble error

简明释义

容许误差

英英释义

例句

1.When conducting surveys, researchers often define an allowable error to maintain data integrity.

在进行调查时，研究人员通常定义一个允许误差以保持数据的完整性。

2.The measurement of the length has a allowable error of ±0.5 cm.

长度的测量有一个允许误差为±0.5厘米。

3.In this experiment, we must keep the allowable error within 2% to ensure accuracy.

在这个实验中，我们必须将允许误差控制在2%以内，以确保准确性。

4.The quality control department set an allowable error of 1% for product weights.

质量控制部门对产品重量设定了1%的允许误差。

5.The technician explained that the allowable error for the calibration is critical for reliable results.

技术员解释说，校准的允许误差对可靠结果至关重要。

作文

Understanding the concept of allowable error is crucial in various fields, particularly in science, engineering, and statistics. The term refers to the maximum amount of error that can be tolerated in a measurement or calculation without significantly affecting the outcome of an experiment or analysis. In essence, it sets a boundary within which the results can still be considered valid and reliable. This concept is vital because it helps researchers and professionals determine the precision required for their measurements and the acceptable limits of variation in their data.In scientific experiments, every measurement carries some degree of uncertainty. For instance, if a scientist is measuring the temperature of a substance, the thermometer used may have a certain level of precision. If the thermometer has an allowable error of ±0.5 degrees Celsius, it means that the actual temperature could be anywhere between 0.5 degrees below or above the reading. Understanding this allowable error allows scientists to interpret their findings accurately and communicate them effectively.In engineering, the concept of allowable error plays a significant role in quality control and product design. Engineers must ensure that their products meet specific standards and specifications. For example, when designing a bridge, engineers must consider the allowable error in the materials used and the construction process. If the allowable error is exceeded, it could lead to structural failures or safety hazards. Therefore, maintaining measurements within the allowable error range is essential for ensuring the integrity and safety of engineering projects.Statistics also heavily relies on the idea of allowable error. When conducting surveys or experiments, statisticians often use sample data to make inferences about a larger population. They calculate margins of error to express the uncertainty associated with their estimates. The allowable error helps statisticians understand how much their sample results might differ from the actual population parameters. This understanding is critical when making decisions based on statistical analyses, as it provides a framework for evaluating the reliability of the data.Moreover, the allowable error is not a fixed value; it can vary depending on the context and the specific requirements of a project. For example, in high-precision industries like aerospace, the allowable error might be extremely small, while in other fields, such as social sciences, a larger allowable error may be acceptable. Recognizing these differences is essential for professionals who need to apply the concept appropriately in their work.In conclusion, the concept of allowable error is fundamental across various disciplines. It provides a guideline for understanding the limitations of measurements and calculations, helping professionals maintain the integrity of their work. By recognizing and applying the appropriate allowable error, researchers, engineers, and statisticians can ensure that their findings and products are both reliable and valid. This awareness ultimately leads to better decision-making and improved outcomes in their respective fields.

理解允许误差的概念在科学、工程和统计等多个领域至关重要。该术语指的是在测量或计算中可以容忍的最大误差量，而不会显著影响实验或分析的结果。本质上，它设定了一个界限，在这个界限内，结果仍然可以被认为是有效和可靠的。这个概念至关重要，因为它帮助研究人员和专业人士确定其测量所需的精度以及数据中可接受的变化范围。在科学实验中，每个测量都带有一定程度的不确定性。例如，如果一位科学家正在测量某种物质的温度，所使用的温度计可能具有一定的精度。如果温度计的允许误差为±0.5摄氏度，这意味着实际温度可能在读数的0.5度以下或以上之间。理解这个允许误差使科学家能够准确解释他们的发现并有效地传达这些发现。在工程中，允许误差的概念在质量控制和产品设计中发挥着重要作用。工程师必须确保他们的产品符合特定的标准和规范。例如，在设计桥梁时，工程师必须考虑所使用材料和施工过程中的允许误差。如果超过了允许误差，可能会导致结构故障或安全隐患。因此，保持测量在允许误差范围内对于确保工程项目的完整性和安全性至关重要。统计学也严重依赖于允许误差的概念。在进行调查或实验时，统计学家通常使用样本数据对更大的人群进行推断。他们计算误差范围以表达与估计相关的不确定性。允许误差帮助统计学家理解他们的样本结果与实际人群参数之间可能的差异。这种理解在基于统计分析做出决策时至关重要，因为它提供了评估数据可靠性的框架。此外，允许误差不是一个固定值；它可以根据上下文和项目的具体要求而变化。例如，在航空航天等高精度行业中，允许误差可能非常小，而在社会科学等其他领域，更大的允许误差可能是可以接受的。认识到这些差异对于需要在工作中适当地应用该概念的专业人士至关重要。总之，允许误差的概念在各个学科中都是基础。它为理解测量和计算的局限性提供了指导，帮助专业人士维护其工作的完整性。通过识别和应用适当的允许误差，研究人员、工程师和统计学家可以确保他们的发现和产品既可靠又有效。这种意识最终将导致更好的决策和改善各自领域的成果。