Last Updated：2025/12/02

(mathematics) a function that has derivatives of all finite orders everywhere in its domain.

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smooth function

Source Word

smooth function

(mathematics) a function that has derivatives of all finite orders everywhere in its domain.

Japanese Meaning

(数学) 定義される領域全体において、任意の有限な次数の導関数が存在する関数

To apply the theorem, we assumed that the dynamics were governed by a smooth function on the manifold.

定理を適用するために、我々は力学が多様体上の滑らかな関数によって支配されていると仮定した。

Sense（1）

(mathematics) a function that has derivatives of all finite orders everywhere in its domain.

Any ANALYTIC FUNCTION is smooth. But a smooth function is not necessarily analytic.

smooth functions

（ plural ）