V2EX absolute error

Absolute Error

释义 Definition(中文)

绝对误差:在测量或近似计算中,测得值/近似值真实值之间的差的绝对值。常写作
|近似值 真值|。
(也常与 relative error“相对误差”一起对比使用。)

发音 Pronunciation(IPA)

/bslut rr/

例句 Examples

The absolute error is 0.02 meters.
绝对误差是 0.02 米。

If the true value is unknown, we estimate the absolute error using the instrument’s tolerance and repeated measurements.
如果真值未知,我们会根据仪器公差和重复测量来估计绝对误差。

词源 Etymology(中文)

absolute 源自拉丁语 absolutus(“完全的、不受限制的”),在数学里常用来表示“取绝对值/不考虑正负”的概念;error 源自拉丁语 error(“偏离、错误”)。合在一起,absolute error 就是“把误差的正负去掉后,只看大小的误差”。

相关词 Related Words

文学与经典著作 Literary & Notable Works

  • An Introduction to Error Analysis(John R. Taylor)系统讲解测量不确定度与绝对误差/相对误差的概念与计算。
  • Numerical Analysis(Richard L. Burden & J. Douglas Faires)在数值计算中讨论误差来源、绝对误差与误差界。
  • Numerical Recipes: The Art of Scientific Computing(Press et al.)在算法精度与误差评估中频繁使用 absolute error 术语。
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