absolute error

简明释义

绝对误差

英英释义

例句

1.The absolute error 绝对误差 in the measurement of the length was found to be 0.5 cm.

测量长度的绝对误差 absolute error 被发现为0.5厘米。

2.The absolute error 绝对误差 in the experiment was minimal, indicating high precision.

实验中的绝对误差 absolute error 很小，表明精度很高。

3.To calculate the absolute error 绝对误差, subtract the measured value from the true value.

要计算绝对误差 absolute error，将测量值减去真实值。

4.In statistics, we often look at the absolute error 绝对误差 to assess the accuracy of predictions.

在统计学中，我们经常查看绝对误差 absolute error 来评估预测的准确性。

5.The absolute error 绝对误差 of the temperature reading was recorded as 2 degrees.

温度读数的绝对误差 absolute error 被记录为2度。

作文

In the realm of mathematics and statistics, precision is paramount. One of the fundamental concepts that help us measure the accuracy of our calculations is the absolute error. The absolute error refers to the difference between the actual value and the measured or estimated value. It provides a straightforward way to quantify how far off a measurement is from the true value, without considering the direction of the error. Understanding this concept is essential for anyone involved in data analysis, engineering, or any field that requires precise measurements.To illustrate the importance of absolute error, let’s consider a simple example. Imagine a scientist who is trying to determine the boiling point of water. The accepted boiling point at sea level is 100 degrees Celsius. However, due to various factors such as atmospheric pressure, the scientist measures it to be 98 degrees Celsius. In this case, the absolute error can be calculated by subtracting the measured value from the actual value: 100 - 98 = 2 degrees Celsius.This means that the absolute error in the scientist’s measurement is 2 degrees Celsius. By identifying this error, the scientist can adjust their methods or take further measurements to improve accuracy.The absolute error is particularly useful because it provides a clear indication of how accurate a measurement is. Unlike relative error, which expresses the error as a percentage of the actual value, absolute error gives a direct numerical value that is easy to interpret. This makes it easier for researchers and engineers to communicate the reliability of their results.Moreover, in fields such as engineering, where precision is critical, understanding absolute error can significantly impact the quality of the final product. For example, in manufacturing processes, small errors can accumulate and lead to significant discrepancies in the final output. By regularly calculating the absolute error in measurements throughout the production process, companies can ensure that they maintain high standards of quality control.Another important aspect of absolute error is its application in technology and software development. When developing algorithms, programmers often need to assess the accuracy of their models. By measuring the absolute error between predicted values and actual outcomes, they can refine their algorithms to enhance performance. This iterative process of measuring and adjusting based on absolute error is crucial in fields like machine learning, where precision can greatly affect the effectiveness of a model.In conclusion, the concept of absolute error is vital in various disciplines that rely on accurate measurements. It serves as a clear indicator of the accuracy of a measurement, allowing scientists, engineers, and programmers to make informed decisions based on quantifiable data. By understanding and applying the principles of absolute error, professionals can strive for greater accuracy in their work, ultimately leading to improved outcomes in research, manufacturing, and technology development. As we continue to advance in our respective fields, the importance of grasping such fundamental concepts cannot be overstated, as they lay the groundwork for innovation and progress.

在数学和统计学领域，精确性至关重要。帮助我们衡量计算准确性的基本概念之一是绝对误差。绝对误差指的是实际值与测量值或估计值之间的差异。它提供了一种直接的方法来量化测量与真实值的偏差，而不考虑误差的方向。理解这一概念对于任何参与数据分析、工程或任何需要精确测量的领域的人来说都是必不可少的。为了说明绝对误差的重要性，让我们考虑一个简单的例子。想象一下，一位科学家试图确定水的沸点。海平面上公认的沸点是100摄氏度。然而，由于大气压力等各种因素，科学家测得的沸点为98摄氏度。在这种情况下，绝对误差可以通过将测得值从实际值中减去来计算：100 - 98 = 2摄氏度。这意味着科学家的测量中的绝对误差为2摄氏度。通过识别这个误差，科学家可以调整他们的方法或进行进一步的测量，以提高准确性。绝对误差特别有用，因为它提供了一个清晰的指标，表明测量的准确性。与相对误差不同，后者将误差表示为实际值的百分比，绝对误差给出了一个直接的数值，易于解释。这使得研究人员和工程师更容易沟通其结果的可靠性。此外，在工程等对精度要求严格的领域，理解绝对误差可以显著影响最终产品的质量。例如，在制造过程中，小错误可能会累积并导致最终输出的重大差异。通过定期计算生产过程中测量的绝对误差，公司可以确保维持高标准的质量控制。绝对误差的另一个重要方面是其在技术和软件开发中的应用。在开发算法时，程序员通常需要评估模型的准确性。通过测量预测值与实际结果之间的绝对误差，他们可以优化算法以提高性能。在机器学习等领域，这种基于绝对误差的测量和调整的迭代过程至关重要，因为精度可以极大地影响模型的有效性。总之，绝对误差的概念在依赖准确测量的各个学科中都是至关重要的。它作为测量准确性的清晰指标，使科学家、工程师和程序员能够根据可量化的数据做出明智的决策。通过理解和应用绝对误差的原理，专业人士可以努力提高工作的准确性，最终在研究、制造和技术开发中取得更好的成果。随着我们在各自领域的不断进步，掌握这些基本概念的重要性不容小觑，因为它们为创新和进步奠定了基础。