V2EX common logarithm

Common Logarithm

释义 / Definition

常用对数(常用对数):以 10 为底 的对数,记作 **log(x)**,通常简写为 **log(x)**(在很多中学与工程语境中如此;在更严格的数学语境里会注明底数以避免与自然对数混淆)。

发音 / Pronunciation (IPA)

/kmn lrm/

例句 / Examples

Take the common logarithm of 100 and you get 2.
对 100 取常用对数,结果是 2。

Using common logarithms, we can turn multiplication into addition, which was especially useful before calculators.
利用常用对数,我们可以把乘法转化为加法,这在计算器普及之前尤其有用。

词源 / Etymology

common 在这里表示“最常用、最普遍”的意思;logarithm 源自新拉丁语 logarithmus,再上溯到希腊语 logos(比例、计算、推理)与 arithmos(数)。历史上以 10 为底的对数在工程、测量与制表计算中应用广泛,因此被称为 common logarithm,用来区别于以 e 为底的 natural logarithm(自然对数)。

相关词 / Related Words

文学与经典著作中的用例 / Literary & Notable Works

  • Henry Briggs, Arithmetica Logarithmica(1624):与十进对数(常用对数)表的系统化发展密切相关。
  • John Napier, Mirifici Logarithmorum Canonis Descriptio(1614):对数概念的早期经典著作(后世常用对数与自然对数的区分在此传统中发展)。
  • Chambers’s Tables of Logarithms(多版):常用对数表类出版物的代表,历史上广泛用于教育与工程计算。
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