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ベクトル解析

3 件の記事

The gradient, represented by the blue arrows, denotes the direction of greatest change of a scalar function. The values of the function are represented in greyscale and increase in value from white (low) to dark (high).

勾配（グラディエント）の数学的定義と多変数解析における役割

勾配グラディエントベクトル解析偏微分
2026年8月12日続きを読む →
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ベクトル面積の定義と幾何学的性質3次元空間における方向付き面積の概念

ベクトル面積ベクトル解析面積分法線ベクトル
2026年8月12日続きを読む →
The field lines of a vector field F through surfaces with unit normal n, the angle from n to F is θ. Flux is a measure of how much of the field passes through a given surface. F is decomposed into components perpendicular (⊥) and parallel ( ‖ ) to n. Only the parallel component contributes to flux because it is the maximum extent of the field passing through the surface at a point, the perpendicular component does not contribute. Top: Three field lines through a plane surface, one normal to the surface, one parallel, and one intermediate. Bottom: Field line through a curved surface, showing the setup of the unit normal and surface element to calculate flux.

フラックス（束）の概念と物理学・数学における応用

フラックス束ベクトル場表面積分
2026年8月9日続きを読む →