5.1.54 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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&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; User manual for <a href="http://www.singular.uni-kl.de/"><i>Singular</i></a> version 2-0-4, October 2002,
generated by <a href="http://www.gnu.org/software/texinfo/"><i>texi2html</i></a>.
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