relative error

简明释义

相对误差

英英释义

例句

1.The relative error 相对误差 in the measurement of the object's length was calculated to be 2%.

对物体长度测量的相对误差 relative error 被计算为2%。

2.The engineer reported a relative error 相对误差 of 1.5% in the stress calculations.

工程师报告了应力计算中的相对误差 relative error 为1.5%。

3.In scientific experiments, a low relative error 相对误差 indicates high precision.

在科学实验中，低相对误差 relative error 表示高精度。

4.To improve accuracy, we need to minimize the relative error 相对误差 in our results.

为了提高准确性，我们需要最小化结果中的相对误差 relative error。

5.The relative error 相对误差 in the temperature readings was significant due to calibration issues.

由于校准问题，温度读数中的相对误差 relative error 是显著的。

作文

In the field of science and engineering, accuracy is crucial for experiments and measurements. One important concept that helps us understand how accurate our measurements are is the concept of relative error. The term relative error refers to the difference between the measured value and the true value, expressed as a fraction of the true value. It provides a way to assess the precision of our measurements relative to the actual value we are trying to obtain. In this essay, I will explore the significance of relative error in scientific research and its applications in various fields.To begin with, let’s consider an example in a laboratory setting. Imagine that a chemist is trying to determine the concentration of a solution. The true concentration is known to be 5 mol/L, but due to various factors, the chemist measures it to be 4.8 mol/L. To calculate the relative error, we first find the absolute error, which is the difference between the measured value and the true value: 4.8 - 5 = -0.2. Next, we take the absolute error and divide it by the true value: |-0.2| / 5 = 0.04. Finally, we express this as a percentage by multiplying by 100, resulting in a relative error of 4%. This means that the measurement is 4% less than the actual concentration.Understanding relative error is vital in evaluating the reliability of experimental results. A small relative error indicates that the measurement is close to the true value, while a large relative error suggests significant discrepancies. In scientific research, where precise measurements can lead to different conclusions, knowing the relative error allows researchers to assess the validity of their findings. For instance, in pharmacology, if a drug’s concentration is measured with a high relative error, it could lead to ineffective or harmful dosages being administered to patients.Moreover, relative error is not only applicable in laboratory experiments but also in everyday life. For instance, when we buy groceries, the weight of the items may vary from what is advertised. If a bag of flour is labeled as 1 kg but actually weighs 950 grams, the relative error would help us understand how much we are losing. In this case, the absolute error is 1 kg - 0.95 kg = 0.05 kg, and the relative error is 0.05 kg / 1 kg = 0.05 or 5%. This kind of information is essential for consumers who want to ensure they are getting what they pay for.In conclusion, the concept of relative error plays a significant role in both scientific research and everyday decision-making. By providing a measure of how far off a measurement is from the true value, relative error enables scientists to validate their experiments and consumers to make informed choices. As we continue to rely on measurements in various aspects of life, understanding relative error will remain an essential skill for accuracy and reliability. Therefore, whether in a laboratory or at the grocery store, recognizing the importance of relative error helps us appreciate the precision of our measurements and their implications.

在科学和工程领域，准确性对于实验和测量至关重要。一个帮助我们理解测量准确性的重要概念是相对误差。术语相对误差指的是测量值与真实值之间的差异，以真实值的分数形式表示。它提供了一种评估我们的测量相对于我们试图获得的实际值的精确度的方法。在这篇文章中，我将探讨相对误差在科学研究中的重要性以及它在各个领域的应用。首先，让我们考虑一个实验室环境中的例子。想象一下，一个化学家试图确定溶液的浓度。已知真实浓度为5 mol/L，但由于各种因素，化学家测得的浓度为4.8 mol/L。要计算相对误差，我们首先找到绝对误差，即测量值与真实值之间的差异：4.8 - 5 = -0.2。接下来，我们取绝对误差并将其除以真实值：|-0.2| / 5 = 0.04。最后，我们将其表示为百分比，通过乘以100，得到相对误差为4%。这意味着测量值比实际浓度低4%。理解相对误差对于评估实验结果的可靠性至关重要。小的相对误差表明测量值接近真实值，而大的相对误差则暗示存在显著的差异。在科学研究中，精确的测量可能导致不同的结论，因此了解相对误差可以让研究人员评估他们发现的有效性。例如，在药理学中，如果药物的浓度测量具有较高的相对误差，可能会导致给患者施用无效或有害的剂量。此外，相对误差不仅适用于实验室实验，也适用于日常生活。例如，当我们购买杂货时，物品的重量可能与广告中所述的不同。如果一袋面粉标示为1公斤，但实际上重950克，那么相对误差将帮助我们了解我们损失了多少。在这种情况下，绝对误差为1公斤 - 0.95公斤 = 0.05公斤，而相对误差为0.05公斤 / 1公斤 = 0.05或5%。这种信息对于希望确保他们所支付的价格得到相应价值的消费者来说是必不可少的。总之，相对误差的概念在科学研究和日常决策中都发挥着重要作用。通过提供测量值与真实值之间的偏差的度量，相对误差使科学家能够验证他们的实验，并使消费者能够做出明智的选择。随着我们继续在生活的各个方面依赖测量，理解相对误差将仍然是一项关于准确性和可靠性的基本技能。因此，无论是在实验室还是在杂货店，认识到相对误差的重要性都有助于我们欣赏测量的精确性及其影响。