absolute error

简明释义

绝对误差;

英英释义

例句

1.In statistics, the absolute error 绝对误差 is often used to measure prediction accuracy.

在统计学中，绝对误差常用于测量预测的准确性。

2.Calculating the absolute error 绝对误差 helps us understand the accuracy of our results.

计算绝对误差有助于我们理解结果的准确性。

3.To minimize the absolute error 绝对误差, we recalibrated our instruments.

为了最小化绝对误差，我们重新校准了仪器。

4.The absolute error 绝对误差 in our temperature measurement was only 2 degrees.

我们温度测量中的绝对误差仅为2度。

5.The absolute error 绝对误差 in the final project was less than 0.5 units.

最终项目中的绝对误差小于0.5个单位。

作文

In the realm of mathematics and science, precision is paramount. One of the fundamental concepts that helps us measure this precision is the idea of absolute error. The term absolute error refers to the difference between a measured value and the true value of a quantity. It provides a straightforward way to quantify how far off a measurement is from its actual value. Understanding absolute error is crucial for anyone involved in data collection, analysis, or scientific research. To illustrate this concept, let’s consider a simple example: suppose you are trying to measure the length of a table. You use a ruler and find that the table is 150 centimeters long. However, the actual length of the table is 152 centimeters. In this case, the absolute error can be calculated by subtracting the measured value from the true value. Here, it would be |152 - 150| = 2 centimeters. This means that your measurement has an absolute error of 2 centimeters. The importance of absolute error extends beyond simple measurements. In scientific experiments, for instance, researchers often deal with uncertainties in their data. By calculating the absolute error, they can assess the reliability of their results. A smaller absolute error indicates a more accurate measurement, which is essential for drawing valid conclusions. Moreover, absolute error can also play a significant role in quality control processes in manufacturing. Companies strive to produce items that meet specific standards, and measuring the absolute error in dimensions can help ensure that products are within acceptable limits. If the absolute error exceeds a certain threshold, it may indicate a need for adjustments in the production process. It is also worth noting that while absolute error is a useful metric, it does not provide information about the direction of the error. For instance, in the previous example, the measurement was lower than the actual value, but absolute error does not indicate whether the measurement was an underestimate or an overestimate. To address this limitation, scientists often use another metric called relative error, which compares the absolute error to the true value, giving a sense of the error's significance. In conclusion, the concept of absolute error is vital in various fields such as mathematics, science, and engineering. It allows us to quantify the accuracy of our measurements and understand the degree of uncertainty involved. Whether you are measuring the length of a table, conducting a scientific experiment, or ensuring product quality in manufacturing, being aware of absolute error helps improve the reliability of your results. As we continue to rely on precise measurements in our increasingly data-driven world, mastering the concept of absolute error will undoubtedly enhance our analytical skills and decision-making processes.

在数学和科学的领域中，精确性至关重要。帮助我们衡量这种精确性的基本概念之一就是绝对误差的概念。术语绝对误差是指测量值与数量的真实值之间的差异。它提供了一种直接的方法来量化测量与实际值的偏差。理解绝对误差对于任何参与数据收集、分析或科学研究的人来说都是至关重要的。为了说明这个概念，让我们考虑一个简单的例子：假设你试图测量一张桌子的长度。你使用一个尺子，发现桌子的长度是150厘米。然而，桌子的实际长度是152厘米。在这种情况下，绝对误差可以通过将测量值减去真实值来计算。在这里，它将是|152 - 150| = 2厘米。这意味着你的测量有一个绝对误差为2厘米。绝对误差的重要性超越了简单的测量。例如，在科学实验中，研究人员通常处理数据中的不确定性。通过计算绝对误差，他们可以评估结果的可靠性。较小的绝对误差表示更准确的测量，这对于得出有效结论至关重要。此外，绝对误差在制造业的质量控制过程中也可以发挥重要作用。公司努力生产符合特定标准的物品，测量绝对误差可以帮助确保产品在可接受的范围内。如果绝对误差超过某个阈值，可能表明需要调整生产过程。还值得注意的是，虽然绝对误差是一个有用的指标，但它并未提供有关误差方向的信息。例如，在前面的例子中，测量值低于实际值，但绝对误差并未指示测量是低估还是高估。为了应对这一限制，科学家们通常使用另一个指标，称为相对误差，它将绝对误差与真实值进行比较，从而使误差的重要性得以体现。总之，绝对误差的概念在数学、科学和工程等各个领域都是至关重要的。它使我们能够量化测量的准确性，并理解所涉及的不确定性程度。无论你是在测量一张桌子的长度、进行科学实验，还是在制造中确保产品质量，了解绝对误差都有助于提高结果的可靠性。随着我们在日益数据驱动的世界中继续依赖精确测量，掌握绝对误差的概念无疑会增强我们的分析能力和决策过程。