D.2.2.13 product
................
Procedure from library general.lib (see general_lib).

Usage:
product(id[,v]); id ideal/vector/module/matrix/intvec/intmat/list,
v intvec (default: v=1..number of entries of id)

Assume:
list members can be multiplied.

Return:
The product of all entries of id [with index given by v] of type
depending on the entries of id.

Note:
If id is not a list, id is treated as a list of polys resp. integers.
A module m is identified with the corresponding matrix M (columns
of M generate m).

 If v is outside the range of id, we have the empty product and the
result will be 1 (of type int).

Example:
LIB "general.lib";
ring r= 0,(x,y,z),dp;
ideal m = maxideal(1);
product(m);
==> xyz
product(m[2..3]);
==> yz
matrix M[2][3] = 1,x,2,y,3,z;
product(M);
==> 6xyz
intvec v=2,4,6;
product(M,v);
==> xyz
intvec iv = 1,2,3,4,5,6,7,8,9;
v=1..5,7,9;
product(iv,v);
==> 7560
intmat A[2][3] = 1,1,1,2,2,2;
product(A,3..5);
==> 4

<font size="-1">
&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>.
</font>

</body>
</html>
