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

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<description>
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.
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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.
 
<itemize>
 
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<item>@param <em>F:</em> a polynomial in the free monoid ring <tt>F_{2}&lt;X&gt;</tt>. Each polynomial is represented as a LIST of words (or terms) in <tt>&lt;X&gt;</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}&lt;X&gt;</tt>. Each polynomial is represented as a LIST of words (or terms) in <tt>&lt;X&gt;</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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</description>
 
</description>
 
<seealso>
 
<seealso>
<see>NCo.SetX</see>
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<see>ApCoCoA-1:NCo.SetX|NCo.SetX</see>
<see>Introduction to CoCoAServer</see>
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<see>ApCoCoA-1:Introduction to CoCoAServer|Introduction to CoCoAServer</see>
 
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</seealso>
 
<types>
 
<types>

Revision as of 08:26, 7 October 2020

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

NCo.SetX

Introduction to CoCoAServer