V2EX significand

Significand

释义 Definition

(数学/科学)有效数(尾数):在科学记数法或浮点表示中,与基数(通常是 10 或 2)配合、用来表示数值大小的那一部分;例如 \(x = m \times 10^n\) 里的 \(m\) 就是 significand(也常被称为 mantissa,但在部分领域两者有细微用法差异)。

发音 Pronunciation (IPA)

/snfknd/

例句 Examples

The significand in 3.2 × 10^5 is 3.2.
3.2 × 10^5 里的有效数(significand)是 3.2。

In IEEE 754 floating-point numbers, the stored significand (including the implicit leading bit) determines the precision of the value.
在 IEEE 754 浮点数中,存储的有效数(包括隐含的最高位)决定了该数值的精度。

词源 Etymology

significand 来自 signify(表示、意味着)加上后缀 -and(表示“被……的事物/成分”,如 summand “被相加的项”)。字面含义可理解为“用来表示(数值大小)的那部分”,因此在数的表示法中指“有效数/尾数”。

相关词 Related Words

文学与作品 Literary Works

  • The Art of Computer Programming, Volume 2: Seminumerical Algorithms(Donald E. Knuth)
  • What Every Computer Scientist Should Know About Floating-Point Arithmetic(David Goldberg)
  • *IEEE Standard for Floating-Point Arithmetic (IEEE 754)*(IEEE 标准文档)
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