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

From ApCoCoAWiki

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− | Please set ring environment <em>alphabet</em> (or set of indeterminates) <tt>X</tt | + | Please set ring environment <em>alphabet</em> (or set of indeterminates) <tt>X</tt> via the function <ref>NCo.SetX</ref>, before calling this function. |

<itemize> | <itemize> | ||

<item>@param <em>F:</em> a polynomial in the free monoid ring <tt>F_{2}<X></tt>. Each polynomial is represented as a LIST of words (or terms) in <tt><X></tt>. Each word is represented as a STRING. For example, <tt>xy^2x</tt> is represented as <quotes>xyyx</quotes>, and the identity is represented as the empty string <quotes></quotes>. Thus, the polynomial <tt>F=xy-y+1</tt> is represented as F:=[<quotes>xy</quotes>, <quotes>y</quotes>, <quotes></quotes>]. The zero polynomial <tt>0</tt> is represented as the empty LIST [].</item> | <item>@param <em>F:</em> a polynomial in the free monoid ring <tt>F_{2}<X></tt>. Each polynomial is represented as a LIST of words (or terms) in <tt><X></tt>. Each word is represented as a STRING. For example, <tt>xy^2x</tt> is represented as <quotes>xyyx</quotes>, and the identity is represented as the empty string <quotes></quotes>. Thus, the polynomial <tt>F=xy-y+1</tt> is represented as F:=[<quotes>xy</quotes>, <quotes>y</quotes>, <quotes></quotes>]. The zero polynomial <tt>0</tt> is represented as the empty LIST [].</item> | ||

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<see>NCo.SetX</see> | <see>NCo.SetX</see> | ||

<see>Introduction to CoCoAServer</see> | <see>Introduction to CoCoAServer</see> |

## Revision as of 19:02, 6 June 2013

## NCo.BDeg

The standard degree of a polynomial in a free monoid ring over the binary field F_{2}={0,1}.

### Syntax

NCo.BDeg(F:LIST):INT

### Description

Please set ring environment *alphabet* (or set of indeterminates) `X` via the function NCo.SetX, before calling this function.

@param

*F:*a polynomial in the free monoid ring`F_{2}<X>`. Each polynomial is represented as a LIST of words (or terms) in`<X>`. Each word is represented as a STRING. For example,`xy^2x`is represented as "xyyx", and the identity is represented as the empty string "". Thus, the polynomial`F=xy-y+1`is represented as F:=["xy", "y", ""]. The zero polynomial`0`is represented as the empty LIST [].@return: a INT which represents the standard degree of F. If F=0, the function returns

`0`.

#### Example

NCo.SetX(<quotes>xX</quotes>); NCo.SetOrdering(<quotes>LLEX</quotes>); F1:=[<quotes>xX</quotes>,<quotes></quotes>]; NCo.BDeg(F1); 2 ------------------------------- NCo.BDeg([]); 0 -------------------------------

### See also