cumulative error

简明释义

积累误差

英英释义

例句

1.During the data analysis, we noticed a cumulative error 累积误差 that skewed our results.

在数据分析过程中，我们注意到一个cumulative error 累积误差扭曲了我们的结果。

2.The software update aimed to reduce the cumulative error 累积误差 in the calculations.

软件更新旨在减少计算中的cumulative error 累积误差。

3.The engineer discovered that the cumulative error 累积误差 in the measurements was affecting the project's timeline.

工程师发现，测量中的cumulative error 累积误差正在影响项目的时间表。

4.To minimize the cumulative error 累积误差, we need to calibrate our instruments regularly.

为了最小化cumulative error 累积误差，我们需要定期校准我们的仪器。

5.In long calculations, a small mistake can lead to a significant cumulative error 累积误差 by the end.

在长时间的计算中，一个小错误可能会导致到最后出现显著的cumulative error 累积误差。

作文

In the field of mathematics and science, precision is crucial. When we conduct experiments or solve equations, we often rely on measurements and calculations that can introduce inaccuracies. One concept that frequently arises in this context is cumulative error, which refers to the total error that accumulates over a series of measurements or calculations. Understanding cumulative error">累积误差 is essential for anyone engaged in research or data analysis, as it can significantly impact the reliability of results.To illustrate the concept of cumulative error">累积误差, consider a simple example involving the measurement of a wooden plank's length. If we measure the plank multiple times and each time there is a slight error—perhaps due to parallax, instrument calibration, or human judgment—the individual errors may seem negligible. However, when we sum these errors, they can lead to a substantial discrepancy from the actual length of the plank. This accumulation of error is what we refer to as cumulative error">累积误差.The implications of cumulative error">累积误差 extend beyond simple measurements. In fields such as engineering, where precise specifications are critical, even small cumulative errors can result in significant structural failures or malfunctions. For instance, if an engineer is designing a bridge and makes minor miscalculations in several stages of the design process, the final structure could be unsafe, leading to catastrophic consequences. Therefore, understanding and mitigating cumulative error">累积误差 is paramount in engineering practices.Moreover, cumulative error">累积误差 can also be observed in statistical analyses. When researchers collect data from surveys or experiments, each data point may carry some degree of error. As these points are aggregated to form a larger dataset, the errors can accumulate, potentially skewing the results. This is particularly concerning in fields like medicine, where clinical trials must demonstrate efficacy and safety based on accurate data. A miscalculation due to cumulative error">累积误差 could lead to incorrect conclusions about a drug's effectiveness, putting patients at risk.To minimize the impact of cumulative error">累积误差, scientists and engineers employ various strategies. Calibration of instruments, repeated measurements, and statistical corrections are common methods to identify and reduce errors. Additionally, rigorous peer review processes in research help catch potential errors before findings are published. By being vigilant about cumulative error">累积误差, professionals can enhance the accuracy and reliability of their work.In conclusion, the concept of cumulative error">累积误差 plays a vital role in ensuring the accuracy of measurements and calculations across various fields. Whether in scientific research, engineering, or data analysis, understanding how errors accumulate can help us take necessary precautions to avoid significant discrepancies. As we continue to advance in technology and methodology, keeping a close eye on cumulative error">累积误差 will be key to achieving reliable and trustworthy results in our work.

在数学和科学领域，精确性至关重要。当我们进行实验或解决方程时，我们常常依赖于可能引入不准确性的测量和计算。在这种情况下，一个常常出现的概念是累积误差，它指的是在一系列测量或计算中累积的总误差。理解cumulative error">累积误差对于任何从事研究或数据分析的人来说都是必要的，因为它可能显著影响结果的可靠性。为了说明cumulative error">累积误差的概念，考虑一个简单的例子，涉及测量木板的长度。如果我们多次测量木板，每次都有轻微的误差——可能是由于视差、仪器校准或人为判断——单个误差可能看起来微不足道。然而，当我们将这些误差相加时，它们可能导致与木板实际长度的重大差异。这种误差的累积就是我们所称的cumulative error">累积误差。cumulative error">累积误差的影响超出了简单的测量。在工程等领域，精确的规格至关重要，即使是微小的累积误差也可能导致重大的结构故障或故障。例如，如果一名工程师在设计一座桥梁时，在设计过程的多个阶段进行微小的错误计算，最终的结构可能不安全，导致灾难性的后果。因此，理解和减轻cumulative error">累积误差在工程实践中至关重要。此外，cumulative error">累积误差在统计分析中也可以观察到。当研究人员从调查或实验中收集数据时，每个数据点可能携带一定程度的误差。随着这些点的聚合形成更大的数据集，误差可能会累积，从而可能扭曲结果。这在医学等领域尤为令人担忧，因为临床试验必须基于准确的数据证明疗效和安全性。由于cumulative error">累积误差导致的误计算可能导致对药物有效性的错误结论，危及患者的安全。为了最小化cumulative error">累积误差的影响，科学家和工程师采用各种策略。仪器的校准、重复测量和统计修正是识别和减少误差的常见方法。此外，研究中的严格同行评审过程有助于在发现发布之前捕捉潜在的错误。通过对cumulative error">累积误差保持警惕，专业人士可以提高他们工作的准确性和可靠性。总之，cumulative error">累积误差的概念在确保各个领域的测量和计算的准确性方面发挥着至关重要的作用。无论是在科学研究、工程还是数据分析中，理解误差如何累积可以帮助我们采取必要的预防措施，以避免重大差异。随着我们在技术和方法上的不断进步，密切关注cumulative error">累积误差将是实现我们工作中可靠和可信结果的关键。