limit of error

简明释义

误差限度

英英释义

例句

1.In statistics, it is important to understand the limit of error when interpreting survey results.

在统计学中，理解调查结果的误差限是很重要的。

2.The limit of error for this experiment was set at 5%, allowing for some variability in the results.

此次实验的误差限设定为5%，允许结果存在一定的变动。

3.The limit of error in this calculation means that the actual value could vary slightly.

此计算中的误差限意味着实际值可能会有轻微的变化。

4.Quality control measures include calculating the limit of error to maintain product standards.

质量控制措施包括计算误差限以维持产品标准。

5.The engineer calculated the limit of error for the measurements to ensure accuracy in the design.

工程师计算了测量的误差限以确保设计的准确性。

作文

In the realm of science and mathematics, precision is paramount. Every measurement we take, every calculation we perform, carries with it a certain degree of uncertainty. This uncertainty is often quantified by what is known as the limit of error. The limit of error refers to the maximum amount by which a measured or calculated value may differ from the true value. Understanding this concept is crucial not only for scientists and mathematicians but also for anyone who relies on data to make informed decisions.For instance, consider a simple experiment where we measure the length of a table using a ruler. If the ruler has markings that are spaced one millimeter apart, our measurements can only be precise to within half a millimeter. This means that if we measure the table to be 200 centimeters, the actual length could be anywhere between 199.95 centimeters and 200.05 centimeters. In this case, the limit of error is ±0.05 centimeters. This example illustrates how even seemingly straightforward measurements can carry inherent uncertainties.In fields such as engineering, the limit of error becomes even more critical. Engineers must ensure that their designs meet strict safety standards, and any deviation from the intended specifications could lead to catastrophic failures. Thus, they often conduct rigorous testing and calculations to determine the limit of error in their measurements. For example, if an engineer designs a bridge, they must account for factors such as material strength, load distribution, and environmental conditions. By understanding the limit of error, they can create safer structures that can withstand unexpected forces.Furthermore, the concept of limit of error extends beyond physical measurements. In statistical analysis, for instance, the limit of error plays a vital role in determining the reliability of survey results. When polling data is collected, researchers must acknowledge that there is a margin of error associated with their findings. If a political poll indicates that a candidate has 55% support with a limit of error of ±3%, this means that the true support could be as low as 52% or as high as 58%. This information is crucial for interpreting the results accurately and making predictions about future outcomes.Moreover, in everyday life, we encounter situations where the limit of error affects our decision-making process. For example, when shopping for groceries, we may rely on nutritional labels that provide us with information about calories, fats, and other components. However, these values often come with a limit of error due to variations in food preparation and serving sizes. Being aware of this uncertainty can help consumers make better choices about their diets and health.In conclusion, the concept of limit of error is integral to various fields, including science, engineering, statistics, and daily decision-making. By recognizing and understanding the limit of error, we can better navigate the complexities of data interpretation and make more informed choices. Whether we are measuring physical dimensions, analyzing statistical data, or simply trying to live healthier lives, acknowledging the limit of error allows us to approach our tasks with a more critical and informed mindset. It is a reminder that while we strive for accuracy, we must also accept the inherent uncertainties that come with any measurement or analysis.

在科学和数学的领域中，精确性至关重要。我们所进行的每一次测量、每一个计算，都伴随着一定程度的不确定性。这种不确定性通常通过被称为误差限的概念来量化。误差限指的是一个测量值或计算值可能与真实值相差的最大值。理解这个概念对于科学家、数学家乃至任何依赖数据做出明智决策的人来说都至关重要。例如，考虑一个简单的实验，我们用尺子测量一张桌子的长度。如果尺子的刻度间隔为1毫米，那么我们的测量精度只能达到±0.5毫米。这意味着如果我们测量桌子的长度为200厘米，实际长度可能在199.95厘米到200.05厘米之间。在这种情况下，误差限是±0.05厘米。这个例子说明了即使是看似简单的测量也可能带有固有的不确定性。在工程等领域，误差限变得更加关键。工程师必须确保他们的设计符合严格的安全标准，任何偏离预期规格的情况都可能导致灾难性的故障。因此，他们通常会进行严格的测试和计算，以确定其测量的误差限。例如，如果一位工程师设计一座桥梁，他们必须考虑材料强度、载荷分布和环境条件等因素。通过理解误差限，他们可以创建更安全的结构，以承受意外的力量。此外，误差限的概念不仅限于物理测量。在统计分析中，例如，误差限在确定调查结果的可靠性方面发挥着至关重要的作用。当收集民意调查数据时，研究人员必须承认他们的发现存在一定的误差范围。如果一项政治民调显示某候选人支持率为55%，而误差限为±3%，这意味着实际支持率可能低至52%或高达58%。这一信息对于准确解读结果和预测未来结果至关重要。此外，在日常生活中，我们会遇到误差限影响我们决策过程的情况。例如，在购物时，我们可能依赖营养标签提供关于卡路里、脂肪和其他成分的信息。然而，这些数值往往伴随着由于食品准备和份量大小变化而产生的误差限。意识到这种不确定性可以帮助消费者在饮食和健康方面做出更好的选择。总之，误差限的概念在科学、工程、统计以及日常决策等多个领域中都是不可或缺的。通过认识和理解误差限，我们可以更好地应对数据解释的复杂性，并做出更明智的选择。无论我们是在测量物理尺寸、分析统计数据，还是在努力过上更健康的生活，承认误差限使我们能够以更批判和更有见地的心态来处理我们的任务。这提醒我们，尽管我们追求准确性，但我们也必须接受任何测量或分析所固有的不确定性。