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

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− | Please set ring environment | + | Please set ring environment <em>alphabet</em> (or set of indeterminates) <tt>X</tt> via the function <ref>NCo.SetX</ref> before using this function. For more information, please check the relevant functions. |

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

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## Revision as of 14:54, 2 May 2013

## 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