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5.1.55 jacob

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.
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
See diff; ideal; module; nvars.

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            User manual for Singular version 3-0-1, October 2005, generated by texi2html.