V2EX exponential growth

Exponential Growth

Definition 定义

exponential growth”(指数增长):指数量按固定比例在每个相同时间间隔内增长的过程,增长速度会越来越快;常见于人口、细菌繁殖、复利、信息传播等情境。(也可泛指“增长越来越快”的趋势。)

Examples 例句

Bacteria can show exponential growth in warm conditions.
在温暖条件下,细菌可能会呈现指数增长。

If unchecked, exponential growth in infections can overwhelm healthcare systems, because the number of new cases rises faster as the total number of cases increases.
如果不加控制,感染的指数增长可能会压垮医疗系统,因为随着总病例数增多,新病例数会上升得更快。

Pronunciation 发音(IPA)

/kspnnl roθ/

Etymology 词源

exponential 来自 exponent(指数、幂),其词根与拉丁语 exponere(“展示、提出”)有关;在数学里“指数”表示幂的次数,因此 exponential 引申为“与指数有关的、呈指数式的”。growth 源自古英语,意为“生长、增长”。合在一起就表示“按指数律的增长”。

Related Words 相关词汇

Literary Works 文学与著作中的用例

  • Richard Dawkins,《The Selfish Gene》(《自私的基因》):讨论复制与繁殖过程中常见的指数式扩张现象。
  • Steven Pinker,《The Better Angels of Our Nature》:在数据与趋势分析中涉及增长曲线与指数式变化的讨论。
  • Thomas S. Kuhn,《The Structure of Scientific Revolutions》(《科学革命的结构》):在谈科学发展与累积效应时常会提及类似“指数式增长”的语境(尤其在科学产出与知识增长讨论中)。
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