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B.2.7 Product orderings
Let
548#548 and
609#609be two ordered sets of variables,
379#379 a monomial
ordering on 549#549 and 610#610 a monomial ordering on 611#611. The product
ordering (or block ordering)
612#612 on 613#613 is the following:
614#614 or (615#615 and 616#616).
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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