relative error

简明释义

相对误差

英英释义

例句

1.The relative error in the temperature readings was found to be within acceptable limits for the experiment.

温度读数的相对误差被发现处于实验可接受的范围内。

2.When calculating the speed of the vehicle, we need to consider the relative error introduced by timing inaccuracies.

在计算车辆速度时，我们需要考虑由计时不准确引入的相对误差。

3.The measurement of the object's length had a relative error of 2%, indicating that the actual length could vary by 2% from the measured value.

物体长度的测量有一个相对误差为2%，这表明实际长度可能与测量值相差2%。

4.In scientific experiments, a low relative error is crucial for ensuring the accuracy of the results.

在科学实验中，低相对误差对于确保结果的准确性至关重要。

5.The relative error in the final results was less than 1%, which is acceptable for this type of analysis.

最终结果的相对误差小于1%，这对于这种类型的分析是可以接受的。

作文

In the field of science and engineering, accuracy is paramount. One of the critical concepts that help in assessing the accuracy of measurements is the concept of relative error. The term relative error refers to the measure of the uncertainty of a measurement compared to the actual value. It is often expressed as a percentage and is calculated by taking the absolute error and dividing it by the true value, then multiplying by 100. Understanding relative error is essential for scientists and engineers because it provides insight into how significant an error is in relation to the size of the measurement itself.For instance, consider a scenario where a scientist measures the length of a table to be 2.00 meters, but the actual length is 2.05 meters. The absolute error in this case would be 0.05 meters. To find the relative error, we would take the absolute error (0.05) and divide it by the true value (2.05), which gives us approximately 0.0244. When converted to a percentage, the relative error becomes about 2.44%. This means that the measurement error is 2.44% of the actual length of the table, which is a relatively small error in most practical situations.However, the significance of relative error can vary depending on the context. In high-precision fields like aerospace engineering, even a small relative error can lead to catastrophic failures. Conversely, in everyday applications, such as measuring ingredients for cooking, a higher relative error might be acceptable. Therefore, understanding the implications of relative error helps professionals determine whether their measurements are adequate for their specific needs.Moreover, relative error also plays a crucial role in data analysis and statistics. When comparing different datasets or measurements, analysts often use relative error to evaluate the reliability of their results. For example, if two experiments yield similar results but one has a significantly lower relative error, it is likely to be considered more reliable. This emphasizes the importance of minimizing relative error in experimental design and measurement techniques.In conclusion, the concept of relative error is fundamental in various fields, particularly in scientific research and engineering. It not only helps in quantifying the accuracy of measurements but also aids in making informed decisions based on those measurements. As we continue to advance in technology and science, the ability to understand and apply the concept of relative error will remain vital. By recognizing the importance of relative error, professionals can ensure that their work meets the necessary standards of accuracy and reliability, ultimately leading to better outcomes in their respective fields.

在科学和工程领域，准确性至关重要。帮助评估测量准确性的关键概念之一是相对误差。术语相对误差指的是测量的不确定性与实际值的比较。它通常以百分比表示，通过将绝对误差除以真实值，然后乘以100来计算。理解相对误差对于科学家和工程师至关重要，因为它提供了有关误差相对于测量大小的重要性的洞察。例如，考虑一个场景，其中一位科学家测量桌子的长度为2.00米，但实际长度为2.05米。在这种情况下，绝对误差为0.05米。要找到相对误差，我们将绝对误差（0.05）除以真实值（2.05），大约得到0.0244。当转换为百分比时，相对误差约为2.44%。这意味着测量误差是桌子实际长度的2.44%，在大多数实际情况下这是一个相对较小的误差。然而，相对误差的重要性可能会根据上下文而有所不同。在航空航天工程等高精度领域，即使是小的相对误差也可能导致灾难性的失败。相反，在日常应用中，例如测量烹饪材料，较高的相对误差可能是可以接受的。因此，理解相对误差的含义有助于专业人士判断他们的测量是否适合其特定需求。此外，相对误差在数据分析和统计中也起着至关重要的作用。当比较不同的数据集或测量时，分析人员经常使用相对误差来评估结果的可靠性。例如，如果两个实验产生类似的结果，但一个的相对误差显著较低，那么它很可能被认为更可靠。这强调了在实验设计和测量技术中最小化相对误差的重要性。总之，相对误差的概念在各个领域中都是基础，特别是在科学研究和工程中。它不仅有助于量化测量的准确性，还帮助基于这些测量做出明智的决策。随着我们在技术和科学上的不断进步，理解和应用相对误差的能力将始终是至关重要的。通过认识到相对误差的重要性，专业人士可以确保他们的工作满足必要的准确性和可靠性标准，从而最终在各自的领域中取得更好的成果。