V2EX mantissa

Mantissa

定义 Definition

mantissa(名词)在数学与计算机领域常指对数的“尾数/小数部分”;在计算机浮点数语境中也常被用来指有效数(significand)的“尾数/有效位部分”(注意:严格术语上更推荐用 significand,但 mantissa 在工程与教材中很常见)。

发音 Pronunciation

/mnts/

例句 Examples

The mantissa of a logarithm is its fractional part.
对数的 mantissa 指的是它的小数部分。

In floating-point representation, the mantissa determines much of the number’s precision, so rounding errors often show up there.
在浮点数表示中,mantissa 在很大程度上决定数值精度,因此舍入误差常常会在这一部分体现出来。

词源 Etymology

源自拉丁语 mantissa,原意有“补充、附加之物”(像“额外添上的一段”)。后来被数学家借用来指对数表中“指数之外剩下的部分”,再进一步扩展到数值表示里“承载有效位的部分”。

相关词 Related Words

文学与典籍 Literary Works

  • **IEEE Standard for Floating-Point Arithmetic (IEEE 754)**(浮点数标准讨论中常见与 mantissa/significand 相关的表述与对比)
  • The Art of Computer Programming(Donald E. Knuth,涉及数值计算与表示时常讨论有效位与误差)
  • Numerical Recipes(常在数值误差、浮点表示与有效精度的语境中出现)
  • Abramowitz and Stegun: Handbook of Mathematical Functions(对数与数表传统语境中与“尾数/特征数”概念相关)
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