Top
Back: Matrix orderings
Forward: Extra weight vector
FastBack: Representation of mathematical objects
FastForward: Mathematical background
Up: Monomial orderings
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

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.


Top Back: Matrix orderings Forward: Extra weight vector FastBack: Representation of mathematical objects FastForward: Mathematical background Up: Monomial orderings Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4.4.0, 2024, generated by texi2html.