• ← Cross
• → Norm

Curl

Curl (SymPy, WMA)

Curl[{$f_1$, $f_2$}, {$x_1$, $x_2$}]

returns the curl $df_2$/$dx_1$ - $df_1$/$dx_2$

Curl[{$f_1$, $f_2$, $f_3$} {$x_1$, $x_2$, $x_3$}]

returns the curl ($df_3$/$dx_2$ - $df_2$/$dx_3$, $dx_3$/$df_3$ - $df_3$/$dx_1$, $df_2$/$df_1$ - $df_1$/$dx_2$)

Two-dimensional Curl:

• • Curl[{y, -x}, {x, y}]

• • v[x_, y_] := {Cos[x] Sin[y], Cos[y] Sin[x]}

• • Curl[v[x, y], {x, y}]

Three-dimensional Curl:

• • Curl[{y, -x, 2 z}, {x, y, z}]