Curl

Curl({f1, f2}, {x1, x2})

returns the curl D(f2, x1) - D(f1, x2)

Curl({f1, f2, f3}, {x1, x2, x3})

returns the curl vector {D(f3, x2) - D(f2, x3), D(f1, x3) - D(f3, x1), D(f2, x1) - D(f1, x2)}

See:

• Wikipedia - Curl (mathematics)

Examples

>> Curl({y, -x}, {x, y})
-2

>> Curl({f(u,v,w),f(v,w,u),f(w,u,v),f(x)}, {u,v,w})
{-D(f(v,w,u),w)+D(f(w,u,v),v),-D(f(w,u,v),u)+D(f(u,v,w),w),-D(f(u,v,w),v)+D(f(v,w,u),u),f(x)}

Implementation status

• ✅ - full supported

Github

• Implementation of Curl