べき乗じょう則そく

べ

き

じょ

う

そ

く

Meanings

1

noun

power law

mathematics

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

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.

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.

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.

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