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2022/03/14阅读：46主题：默认主题

# 咬文嚼字

## 率

• 作概率讲时，与英文“Rate”对应，代表有多大的可能发生；
• 作圆周率讲时，与英文“Ratio”对应，代表圆的周长与直径之比。

Parameters of Comparison Rate Ratio
Definition Rate defines the amount of change of one quantity with respect to another quantity. Ratio tells us about the relationship between two quantities.
Dimension Rate has a dimension of one or more. Ratio is dimensionless.
Dependency Usually, the numerator is dependent on the denominator. Usually, both are mutually dependent.
Use Rate is mostly used in science and finance. Ratio is mostly used in science and mathematics.
Variation The numerator usually varies while the denominator has a unit value. Both the numerator and the denominator change if either of them alters the value.

1 1 0
2 1 1
3 0 1
4 0 0
5 0 0
6 0 0
7 0 0

## 如何严谨地表达

• Probability of false detection

它的意思是当模型预测出事件将要发生的1结果时，这个结果是假警报的概率， 中文翻译为“检测错误的概率”；

• Probability of false alarm

它的意思是当事件实际上不发生时，模型对这个事件发出假警报的概率， 中文翻译为“假警报的概率”；

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