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D.2.8.12 normalize

Procedure from library poly.lib (see poly_lib).

Usage:
normalize(id); id=poly/vector/ideal/module

Return:
object of same type
each element is normalized with leading coefficient equal to 1

Example:
 
LIB "poly.lib";
ring r = 0,(x,y,z),ls;
poly f = 2x5+3y2+4z3;
normalize(f);
==> z3+3/4y2+1/2x5
module m=[9xy,0,3z3],[4z,6y,2x];
normalize(m);
==> _[1]=z3*gen(3)+3xy*gen(1)
==> _[2]=z*gen(1)+3/2y*gen(2)+1/2x*gen(3)
ring s = 0,(x,y,z),(c,ls);
module m=[9xy,0,3z3],[4z,6y,2x];
normalize(m);
==> _[1]=[xy,0,1/3z3]
==> _[2]=[z,3/2y,1/2x]