Difference between revisions of "ApCoCoA-1:NC.Deg"
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| − | <key>gbmr. | + | <key>gbmr.Deg</key> |
<key>NC.Deg</key> | <key>NC.Deg</key> | ||
<key>Deg</key> | <key>Deg</key> | ||
<wiki-category>Package_gbmr</wiki-category> | <wiki-category>Package_gbmr</wiki-category> | ||
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Revision as of 07:45, 26 July 2010
NC.Deg
(Standard) degree of a polynomial over a free associative K-algebra.
Syntax
NC.Deg(F:LIST):INT
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
Before calling the function, please set ring environment alphabet X through the functions NC.SetX(X).
@param F: a polynomial in K<X>. Each polynomial in K<X> is represented as a LIST of LISTs, which are pairs of form [c, w] where c is in K and w is a word in X*. Unit in X* is empty word represented as an empty STRING "". 0 polynomial is represented as an empty LIST []. For example, polynomial F:=xy-y+1 in K<x,y> is represented as F:=[[1,"xy"], [-1, "y"], [1,""]].
@return: a INT which is (standard) degree F. If F=0, then return 0.
Example
NC.SetX(<quotes>abc</quotes>); F:=[[1,<quotes>ab</quotes>],[2,<quotes>aa</quotes>],[3,<quotes>bb</quotes>],[4,<quotes>bab</quotes>]]; NC.Deg(F); 3 ------------------------------- NC.Deg([]); -- 0 polynomial 0 -------------------------------
See also
