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B.2.7 Product orderings
Let
550#550 and
611#611be two ordered sets of variables,
381#381 a monomial
ordering on 551#551 and 612#612 a monomial ordering on 613#613. The product
ordering (or block ordering)
614#614 on 615#615 is the following:
616#616 or (617#617 and 618#618).
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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