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偏微分 (へんびぶん) Japanese meaning | Kotomora
Meanings 1
noun, noun or participle which takes 'suru'
partial derivative ; partial differentiation
mathematics
Mathematical term for differentiating a function of multiple variables with respect to one variable while treating others as constant. Used as both a noun and a suru-verb.
微び
分ぶん
の
計けい
算さん
は
多た
変へん
数すう
解かい
析せき
の
基き
本ほん
です
。
Calculation of partial derivatives is fundamental in multivariable calculus.
Kanji 偏 partial, side, left-side radical 微 delicate, minuteness, insignificance 分 part, minute of time, segment Similar words 微び 分ぶん 微分 is ordinary differentiation (single-variable), while 偏微分 specifically refers to partial differentiation for multivariable functions.
全ぜん 微び 分ぶん 全微分 is the total derivative, considering changes in all variables, whereas 偏微分 holds other variables constant.
Etymology Compound of 偏 (へん, 'partial, one-sided') and 微分 (びぶん, 'differentiation'). The term is a direct calque from English 'partial differentiation'.