# jacobian -- the Jacobian matrix of partial derivatives

• diff -- differentiate or take difference
• contract -- contract one matrix by another

## Ways to use jacobian :

• jacobian(Ideal) -- the Jacobian matrix of the generators of an ideal
• "jacobian(MonomialIdeal)" -- see jacobian(Ideal) -- the Jacobian matrix of the generators of an ideal
• jacobian(Matrix) -- the matrix of partial derivatives of polynomials in a matrix
• jacobian(Ring) -- the Jacobian matrix of the polynomials defining a quotient ring
• jacobian(RingElement) (missing documentation)

## For the programmer

The object jacobian is .