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5.1.54 jacob
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Syntax: jacob (poly_expression)jacob (ideal_expression)-
Type: ideal, if the input is a polynomial
matrix, if the input is an ideal-
Purpose: computes the Jacobi ideal, resp. Jacobi matrix, generated by all partial derivatives of the input.
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Example: ring R; poly f=x2+y3+z5; jacob(f); → _[1]=2x → _[2]=3y2 → _[3]=5z4 ideal i=jacob(f); print(jacob(i)); → 2,0, 0, → 0,6y,0, → 0,0, 20z3