this post was submitted on 08 Nov 2024
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import sympy as sp
x, y, z = sp.symbols('x y z')
Fx = sp.Function('Fx')(x, y, z)
Fy = sp.Function('Fy')(x, y, z)
Fz = sp.Function('Fz')(x, y, z)
F = sp.Matrix([Fx, Fy, Fz])
nabla = sp.Matrix([sp.diff(Fx, x), sp.diff(Fy, y), sp.diff(Fz, z)])
curl_F = F.jacobian([x, y, z]).transpose() - nabla
sp.pprint(curl_F)