V2EX logarithmic scale

Logarithmic Scale

Definition / 释义

logarithmic scale(对数刻度/对数标度):一种坐标或测量刻度,数值按对数而非等差增加;也就是说,每前进相同距离代表数值按相同倍数变化(如 ×10、×2)。常用于跨越数量级很大的数据(地震震级、声音分贝、酸碱度 pH、天文亮度等)。

Pronunciation / 发音(IPA)

/lrmk skel/ (英式)
/lrmk skel/ (美式)

Examples / 例句

The graph uses a logarithmic scale.
这张图使用对数刻度。

On a logarithmic scale, equal spacing can represent a tenfold increase, which makes it easier to compare values that span several orders of magnitude.
在对数刻度上,相等的间距可以表示十倍增长,这使得比较跨越多个数量级的数据更容易。

Etymology / 词源

logarithmic 来自 logarithm(对数),而 logarithm 源于希腊语成分:logos(比例、关系、推理)+ arithmos(数)。scale 表示“刻度、尺度”。合来指“按对数关系排列的刻度/尺度”。

Related Words / 相关词

Literary Works / 文学与著作例证

  • A Brief History of Time(Stephen Hawking)在讨论宇宙尺度与数量级差异时常涉及对数式比较与刻度观念。
  • Cosmos(Carl Sagan)讲解天文距离、亮度等跨数量级现象时常使用对数刻度的表达与图示。
  • The Selfish Gene(Richard Dawkins)在描述数量级差异、增长与比例时会出现对数相关的表述与图形思路。
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