V2EX third power

Third Power

Definition / 释义

third power三次幂;立方(数学中指把一个数或量自乘三次,即 \(x^3\))。也可引申指“第三种力量/第三势力”(较少见,语境多为政治或社会评论)。

Pronunciation / 发音

/θd pa/(美式常见)
/θd pa/(英式常见)

Examples / 例句

Take 2 to the third power and you get 8.
把 2 取三次幂,结果是 8。

In the model, the error grows with the third power of the distance, so small changes far away matter a lot.
在这个模型里,误差会随距离的三次幂增长,因此远处的微小变化也会产生很大影响。

Etymology / 词源

power 在数学语境中表示“幂/指数运算”,来自拉丁语 potentia(力量、能力)。英语里用序数词(first, second, third…)来表示指数的大小:third power 就是“指数为 3 的幂”,也就是 cube / cubic power(立方)

Related Words / 相关词

Literary Works / 文学与著作中的用例

  • Philosophi Naturalis Principia Mathematica(Isaac Newton,常见英译本中在论述比例与幂律时会出现 “third power” 这类表达)
  • Harmonices Mundi(Johannes Kepler,英译本在讨论行星运动与“立方”关系时常见相关表述)
  • On Growth and Form(D’Arcy Wentworth Thompson,讨论尺度规律与幂次关系时常出现 “third power” 等幂次表达)
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