Difference between revisions of "ApCoCoA-1:NCo.Deg"

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Revision as of 10:19, 7 October 2020

This article is about a function from ApCoCoA-1.

NCo.Deg

The standard degree of a polynomial in a free monoid ring.

Syntax

NCo.Deg(F:LIST):INT

Description

Please set ring environment alphabet (or set of indeterminates) X via the function NCo.SetX before using this function. For more information, please check the relevant functions.

  • @param F: a polynomial in K<X>. Each polynomial is represented as a LIST of monomials, which are LISTs of the form [C, W] where W is a word in <X> and C is the coefficient of W. For example, the polynomial f=xy-y+1 is represented as F:=[[1,"xy"], [-1, "y"], [1,""]]. The zero polynomial 0 is represented as the empty LIST [].

  • @return: an INT which represents the standard degree of F. If F=0, the function returns 0.

Example

NCo.SetX(<quotes>abc</quotes>);
F:=[[1,<quotes>ab</quotes>],[2,<quotes>aa</quotes>],[3,<quotes>bb</quotes>],[4,<quotes>bab</quotes>]];
NCo.Deg(F);
3
-------------------------------
NCo.Deg([]); -- 0 polynomial
0
-------------------------------

See also

NCo.SetX