V2EX exponentiation

Exponentiation

释义 Definition

指数运算、幂运算:一种数学运算,把一个数(底数)重复相乘若干次;这个“次数”由指数决定。例如 \(2^3 = 2 \times 2 \times 2\)。在更广义的数学中,指数也可扩展到零、负数、分数甚至无理数等情况。

发音 Pronunciation (IPA)

/ksponnien/

例句 Examples

Exponentiation is taught in middle school math.
幂运算在中学数学中会教授。

In cryptography, exponentiation with very large numbers is used to make certain computations easy to do but hard to reverse.
在密码学中,会使用非常大的数进行幂运算,使某些计算容易完成但难以逆向推回。

词源 Etymology

exponentiation 来自 exponent(指数)+ -iation(名词后缀,表示“过程/行为”)。而 exponent 源自拉丁语 exponere(“展示、说明”),在数学语境里“指数”用来“说明/表示”幂运算中重复相乘的次数。

相关词 Related Words

文学作品 Literary Works

  • Herman Melville, Moby-Dick(常见于讨论“指数/指数增长”等数学化表达的版本与注释中)
  • Lewis Carroll, Alice’s Adventures in Wonderland(作者本身有数学背景,相关术语常出现在评论与注解传统中)
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