D.4.2.2 elim
............
Procedure from library elim.lib (see elim_lib).

Usage:
elim(id,n,m); id ideal/module, n,m integers

Returns:
ideal/module obtained from id by eliminating variables n..m

Note:
no special monomial ordering is required, result is a SB with
respect to ordering dp (resp. ls) if the first var not to be
eliminated belongs to a -p (resp. -s) block ordering

This proc uses 'execute' or calls a procedure using 'execute'.

Example:
LIB "elim.lib";
ring r=0,(x,y,u,v,w),dp;
ideal i=x-u,y-u2,w-u3,v-x+y3;
elim(i,3,4);
==> _[1]=y2-xw
==> _[2]=xy-w
==> _[3]=x2-y
module m=i*gen(1)+i*gen(2);
m=elim(m,3,4);show(m);
==> // module, 6 generator(s)
==> [y2-xw]
==> [0,y2-xw]
==> [xy-w]
==> [0,xy-w]
==> [x2-y]
==> [0,x2-y]
See also:
elim1;
eliminate.


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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,
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