progressive error

简明释义

积累误差

英英释义

例句

1.The scientist noticed a progressive error in the measurements over time, indicating a calibration issue.

科学家注意到测量中存在一个逐步误差，这表明校准存在问题。

2.To minimize progressive error, regular maintenance of the equipment is essential.

为了最小化逐步误差，定期维护设备是必不可少的。

3.In the experiment, the progressive error led to significant discrepancies in the final results.

在实验中，逐步误差导致最终结果出现显著偏差。

4.The progressive error in the software's calculations caused the final output to be unreliable.

软件计算中的逐步误差导致最终输出不可靠。

5.Engineers must account for progressive error when designing precision instruments.

工程师在设计精密仪器时必须考虑逐步误差。

作文

In the realm of science and mathematics, precision is paramount. However, even the most meticulous calculations can lead to inaccuracies over time due to what is known as progressive error. This term refers to a cumulative error that increases with each iteration or measurement taken in a process. Understanding this concept is crucial not only for scientists and engineers but also for anyone involved in data analysis or research.To illustrate the idea of progressive error, let’s consider a simple example involving measurements. Imagine a scientist who is trying to measure the length of a table. If the scientist uses a ruler that is slightly miscalibrated, each measurement taken will be off by a small amount. Initially, this discrepancy may seem negligible; however, if the scientist takes multiple measurements and averages them, the error compounds. Over time, this progressive error can lead to a significant deviation from the actual length of the table.The implications of progressive error extend beyond simple measurements. In fields such as engineering, where designs are based on precise calculations, even a minor error can have serious consequences. For instance, if an engineer is designing a bridge and fails to account for progressive error in their calculations, the structure may not withstand the intended load. This could result in catastrophic failures, endangering lives and property.Moreover, progressive error is not limited to physical measurements. In the realm of data collection and analysis, this phenomenon can also manifest. For instance, in statistical studies, if a survey is conducted using biased sampling methods, the results may reflect a progressive error that skews the findings. As more data is collected under the same flawed methodology, the overall conclusions drawn from the study become increasingly unreliable.To mitigate the effects of progressive error, it is essential to implement rigorous quality control measures. Regular calibration of instruments, adherence to standardized procedures, and thorough peer reviews can help identify and correct errors before they accumulate. Additionally, awareness and education about progressive error among researchers and practitioners can foster a culture of accuracy and diligence.In conclusion, progressive error is a critical concept that highlights the importance of precision in scientific and mathematical endeavors. By recognizing the potential for cumulative errors and taking proactive steps to minimize them, we can enhance the reliability of our measurements and analyses. Whether in the laboratory, the field, or in data interpretation, understanding and addressing progressive error is vital for achieving accurate and trustworthy results.

在科学和数学领域，精确性至关重要。然而，即使是最细致的计算，也可能由于被称为逐步误差的现象而随着时间的推移而导致不准确。这个术语指的是在一个过程中，每次迭代或测量所产生的累积误差。理解这个概念对于科学家、工程师以及任何参与数据分析或研究的人来说都是至关重要的。为了说明逐步误差的概念，让我们考虑一个简单的测量示例。想象一位科学家正在测量一张桌子的长度。如果这位科学家使用的尺子稍微失去校准，那么每次测量都会有小幅偏差。最初，这种差异可能看起来微不足道；然而，如果科学家进行多次测量并取其平均值，误差就会累积。随着时间的推移，这种逐步误差可能会导致与桌子的实际长度产生显著偏差。逐步误差的影响不仅限于简单的测量。在工程等领域，设计基于精确计算，即使是微小的错误也可能产生严重后果。例如，如果一位工程师在设计一座桥梁时未能在计算中考虑逐步误差，那么结构可能无法承受预期的负载。这可能导致灾难性的失败，危及生命和财产。此外，逐步误差不仅限于物理测量。在数据收集和分析领域，这种现象也可能显现。例如，在统计研究中，如果使用偏见抽样方法进行调查，结果可能反映出一种扭曲的逐步误差，从而使研究结果偏离真实情况。随着在相同缺陷方法下收集更多数据，得出的整体结论变得越来越不可靠。为了减轻逐步误差的影响，实施严格的质量控制措施至关重要。定期校准仪器、遵循标准化程序以及进行全面的同行评审可以帮助识别和纠正错误，防止其累积。此外，提高研究人员和从业者对逐步误差的认识和教育，可以促进准确性和勤勉的文化。总之，逐步误差是一个关键概念，突出了科学和数学工作中精确性的必要性。通过认识到累积误差的潜在性并采取主动措施来减少它们，我们可以提高测量和分析的可靠性。无论是在实验室、现场还是数据解释中，理解和解决逐步误差对于获得准确和可信的结果至关重要。