absolute error

简明释义

绝对误差

英英释义

例句

1.To improve accuracy, we need to minimize the absolute error 绝对误差 in our predictions.

为了提高准确性，我们需要最小化我们的预测中的绝对误差 absolute error。

2.When comparing results, we often look at the absolute error 绝对误差 to assess accuracy.

在比较结果时，我们通常会查看绝对误差 absolute error 来评估准确性。

3.The absolute error 绝对误差 in the measurement was calculated to be 0.5 cm.

测量中的绝对误差 absolute error 被计算为 0.5 厘米。

4.The absolute error 绝对误差 can be found by taking the difference between the measured value and the true value.

可以通过测量值与真实值之间的差异来找到绝对误差 absolute error。

5.The absolute error 绝对误差 of the experiment was within acceptable limits.

实验的绝对误差 absolute error 在可接受的范围内。

作文

In the world of science and engineering, precision is key. When we conduct experiments or make measurements, we often encounter various forms of errors. One of the most fundamental concepts in this realm is the idea of absolute error, which refers to the difference between a measured value and the true value of a quantity. Understanding absolute error is crucial for scientists and engineers as it helps them assess the accuracy of their measurements and improve their methods accordingly.To illustrate the concept of absolute error, let us consider an example from a physics experiment. Suppose a student is measuring the length of a table using a ruler. The actual length of the table is 2.0 meters, but the student records the measurement as 1.9 meters. In this case, the absolute error can be calculated by taking the absolute value of the difference between the measured value (1.9 meters) and the true value (2.0 meters). Therefore, the absolute error is |1.9 - 2.0| = 0.1 meters.This small discrepancy highlights the importance of understanding absolute error. It allows the student to recognize that their measurement is not perfectly accurate and provides a quantifiable way to express this inaccuracy. By knowing the absolute error, the student can take steps to improve their measuring technique, such as using a more precise ruler or ensuring that they are measuring from the correct angle.In addition to improving measurement techniques, understanding absolute error also plays a significant role in data analysis. When researchers analyze experimental data, they must account for potential errors that could affect their results. By calculating the absolute error of their measurements, they can determine how reliable their data is and whether it supports their hypotheses.Moreover, absolute error is not limited to physical measurements; it can also be applied in various fields, including finance, statistics, and computer science. For instance, in financial forecasting, analysts may compare their predicted values with actual market outcomes. The absolute error in these predictions can provide insights into the accuracy of their models and help them refine their forecasting techniques.Another aspect to consider is the relationship between absolute error and relative error. While absolute error gives a straightforward measure of the discrepancy, relative error expresses this discrepancy in relation to the true value. This comparison can be particularly useful when dealing with different scales of measurement. For example, an absolute error of 0.1 may be negligible when measuring a large object, but it could represent a significant error when measuring something very small.In conclusion, the concept of absolute error is essential for anyone working in fields that require precise measurements. By understanding and calculating absolute error, individuals can better assess the accuracy of their work and make informed decisions based on their findings. Whether in scientific research, engineering projects, or financial analysis, recognizing the significance of absolute error can lead to improved methodologies and more reliable outcomes. As we continue to strive for precision in our endeavors, the awareness of absolute error will undoubtedly remain a critical component of our analytical toolkit.

在科学和工程的世界中，精确性是关键。当我们进行实验或进行测量时，我们经常会遇到各种形式的误差。在这个领域，一个最基本的概念就是绝对误差，它指的是测量值与某一量的真实值之间的差异。理解绝对误差对于科学家和工程师至关重要，因为它帮助他们评估测量的准确性，并相应地改进他们的方法。为了说明绝对误差的概念，让我们考虑一个来自物理实验的例子。假设一名学生正在使用直尺测量一张桌子的长度。桌子的实际长度为2.0米，但学生记录的测量值为1.9米。在这种情况下，绝对误差可以通过取测量值（1.9米）与真实值（2.0米）之间的差的绝对值来计算。因此，绝对误差为|1.9 - 2.0| = 0.1米。这个小的差异突显了理解绝对误差的重要性。它使学生能够认识到他们的测量并不是完全准确的，并提供了一种量化表达这种不准确性的方法。通过了解绝对误差，学生可以采取措施改善他们的测量技术，例如使用更精确的直尺或确保他们从正确的角度进行测量。除了改善测量技术之外，理解绝对误差在数据分析中也起着重要作用。当研究人员分析实验数据时，他们必须考虑可能影响结果的潜在误差。通过计算测量的绝对误差，他们可以确定数据的可靠性以及这些数据是否支持他们的假设。此外，绝对误差不仅限于物理测量；它还可以应用于各种领域，包括金融、统计和计算机科学。例如，在金融预测中，分析师可能会将他们的预测值与实际市场结果进行比较。这些预测中的绝对误差可以提供有关他们模型准确性的见解，并帮助他们完善预测技术。另一个需要考虑的方面是绝对误差与相对误差之间的关系。虽然绝对误差给出了差异的直接衡量，但相对误差则表示这种差异与真实值的关系。在处理不同测量尺度时，这种比较尤其有用。例如，0.1的绝对误差在测量大型物体时可能微不足道，但在测量非常小的东西时，它可能代表一个显著的误差。总之，绝对误差的概念对于任何需要精确测量的领域的人来说都是必不可少的。通过理解和计算绝对误差，个人可以更好地评估其工作的准确性，并根据其发现做出明智的决策。无论是在科学研究、工程项目还是金融分析中，认识到绝对误差的重要性都可以导致改进的方法和更可靠的结果。随着我们在努力追求精确性的过程中，意识到绝对误差无疑将继续成为我们分析工具箱中的关键组成部分。