べき乗じょう則そく

べ

き

じょ

う

そ

く

Meanings

1

power law

Mathematical term for a functional relationship where one quantity varies as a power of another. Used in statistics, physics, and network theory.

しょう

や

社しゃ

会かい

現げん

象しょう

の

多おお

く

に

見み

られる

。

Power laws are observed in many natural and social phenomena.

このグラフはべき乗じょう則そくに従したがっている。

This graph follows a power law.

指し数すう関かん数すう
指数関数 (exponential function) has the variable in the exponent, while べき乗則 describes a relationship where the variable is raised to a constant power.
対たい数すう正せい規き分ぶん布ぷ
対数正規分布 (log-normal distribution) often arises from multiplicative processes, whereas べき乗則 distributions are characterized by heavy tails and scale invariance.

べき乗じょう則そく
Standard kanji spelling using the common べき (power) character.
ベキ乗じょう則そく
Rare variant with katakana ベキ; may appear in technical contexts.
冪べき乗じょう則そく
Rare variant using the older kanji 冪 for 'power'; mostly historical or mathematical.

Compound of べき乗 (power, exponentiation) + 則 (law, rule). The term is a direct calque from English 'power law'.