デカルト座標

$\displaystyle \bm{A}=(A_x,A_y,A_z)$

(B.1)

$\displaystyle dv=dxdydz$

(B.2)

$\displaystyle \nabla f = \left( \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z} \right)$

(B.3)

$\displaystyle \nabla\cdot\bm{A} = \left( \frac{\partial A_x}{\partial x}, \frac{\partial A_y}{\partial y}, \frac{\partial A_z}{\partial z} \right)$

(B.4)

$\displaystyle \nabla\times\bm{A} = \left( \frac{\partial A_z}{\partial y}-\frac... ...ial x}, \frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y} \right)$

(B.5)

$\displaystyle \nabla^2 f = \frac{\partial^2 f}{\partial x^2}+ \frac{\partial^2 f}{\partial y^2}+ \frac{\partial^2 f}{\partial z^2}$

(B.6)

物理のかぎプロジェクト / 平成18年3月2日