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完かん全ぜん微び分ぶん

Meanings

1

exact differential

Technical term in mathematics, specifically in multivariable calculus, referring to a differential form that is the total differential of a function.

完かん全ぜん微び分ぶん方ほう程てい式しきを解とくには、積せき分ぶん因いん子しを見みつける必ひつ要ようがある。
To solve an exact differential equation, you need to find an integrating factor.

Kanji

完perfect, completion, end
全whole, entire, all
微delicate, minuteness, insignificance
分part, minute of time, segment

Related words

偏へん微び分ぶん
偏微分 (partial differential) refers to the derivative with respect to one variable while keeping others constant, whereas 完全微分 (exact differential) represents the total change of a function of multiple variables.
全ぜん微び分ぶん
全微分 (total differential) is often used synonymously with 完全微分, but 完全微分 specifically emphasizes the exactness condition in differential equations.

Built from

完かん全ぜん+微び分ぶん

Etymology

Compound of 完全 (complete, perfect) and 微分 (differential, differentiation). The term is a direct calque from the English mathematical term 'exact differential'.