Difference between revisions of "ApCoCoA-1:NCo.Deg"
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(New page: <command> <title>NCo.Deg</title> <short_description> (Standard) degree of a polynomial in a free monoid ring. </short_description> <syntax> NCo.Deg(F:LIST):INT </syntax> <description> <em>...) |
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<command> | <command> | ||
<title>NCo.Deg</title> | <title>NCo.Deg</title> | ||
<short_description> | <short_description> | ||
| − | + | The standard degree of a polynomial in a free monoid ring. | |
</short_description> | </short_description> | ||
<syntax> | <syntax> | ||
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</syntax> | </syntax> | ||
<description> | <description> | ||
| − | + | 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 using this function. For more information, please check the relevant functions. | |
| − | |||
| − | Please set ring environment | ||
<itemize> | <itemize> | ||
| − | <item>@param <em>F</em>: a polynomial in <tt>K<X></tt>. Each polynomial is represented as a LIST of monomials, which are | + | <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,"xy"], [-1, "y"], [1,""]]. The zero polynomial <tt>0</tt> is represented as the empty LIST [].</item> |
| − | <item>@return: an INT which represents the | + | <item>@return: an 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("abc"); |
| − | F:=[[1, | + | F:=[[1,"ab"],[2,"aa"],[3,"bb"],[4,"bab"]]; |
NCo.Deg(F); | NCo.Deg(F); | ||
3 | 3 | ||
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</description> | </description> | ||
<seealso> | <seealso> | ||
| − | <see>NCo. | + | <see>ApCoCoA-1:NCo.SetX|NCo.SetX</see> |
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| − | |||
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</seealso> | </seealso> | ||
<types> | <types> | ||
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<key>NCo.Deg</key> | <key>NCo.Deg</key> | ||
<key>Deg</key> | <key>Deg</key> | ||
| − | <wiki-category>Package_gbmr</wiki-category> | + | <wiki-category>ApCoCoA-1:Package_gbmr</wiki-category> |
</command> | </command> | ||
Latest revision as of 13:39, 29 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("abc");
F:=[[1,"ab"],[2,"aa"],[3,"bb"],[4,"bab"]];
NCo.Deg(F);
3
-------------------------------
NCo.Deg([]); -- 0 polynomial
0
-------------------------------
See also
