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B.2.7 Product orderings
Let
and
be two ordered sets of variables,
a monomial
ordering on and a monomial ordering on . The product
ordering (or block ordering)
on is the following:
or ( and ).
Inductively one defines the product ordering of more than two monomial
orderings.
In SINGULAR, any of the above global orderings, local orderings or matrix
orderings may be combined (in an arbitrary manner and length) to a product
ordering. E.g., (lp(3), M(1, 2, 3, 1, 1, 1, 1, 0, 0), ds(4),
ws(1,2,3))
defines: lp on the first 3 variables, the matrix ordering
M(1, 2, 3, 1, 1, 1, 1, 0, 0) on the next 3 variables,
ds on the next 4 variables and
ws(1,2,3) on the last 3 variables.
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