Difference between revisions of "ApCoCoA-1:NCo.BDeg"
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Please set ring environment <em>alphabet</em> (or set of indeterminates) <tt>X</tt> via the function <ref>ApCoCoA-1:NCo.SetX|NCo.SetX</ref>, before calling this function. | Please set ring environment <em>alphabet</em> (or set of indeterminates) <tt>X</tt> via the function <ref>ApCoCoA-1:NCo.SetX|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 | + | <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 "xyyx", and the identity is represented as the empty string "". Thus, the polynomial <tt>F=xy-y+1</tt> is represented as F:=["xy", "y", ""]. The zero polynomial <tt>0</tt> is represented as the empty LIST [].</item> |
<item>@return: a INT which represents the standard degree of F. If F=0, the function returns <tt>0</tt>.</item> | <item>@return: a INT which represents the standard degree of F. If F=0, the function returns <tt>0</tt>.</item> | ||
</itemize> | </itemize> | ||
<example> | <example> | ||
| − | NCo.SetX( | + | NCo.SetX("xX"); |
| − | NCo.SetOrdering( | + | NCo.SetOrdering("LLEX"); |
| − | F1:=[ | + | F1:=["xX",""]; |
NCo.BDeg(F1); | NCo.BDeg(F1); | ||
2 | 2 | ||
Latest revision as of 13:37, 29 October 2020
| This article is about a function from ApCoCoA-1. |
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("xX");
NCo.SetOrdering("LLEX");
F1:=["xX",""];
NCo.BDeg(F1);
2
-------------------------------
NCo.BDeg([]);
0
-------------------------------
See also
