up previous next
NCo.LC

The leading coefficient of a non-zero polynomial in a free monoid ring.
Syntax
          
NCo.LC(F:LIST):INT or RAT

          

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.

Please set ring environment coefficient field K, alphabet (or set of indeterminates) X and ordering via the functions NCo.SetFp, NCo.SetX and NCo.SetOrdering, respectively, before using this function. The default coefficient field is Q, and the default ordering is the length-lexicographic ordering ("LLEX"). For more information, please check the relevant functions.

Example
NCo.SetX("abc");
F:=[[1,"ab"],[2,"aa"],[3,"bb"],[4,"bab"]];
NCo.SetOrdering("ELIM");
NCo.LC(F);
2
-------------------------------
NCo.SetOrdering("LLEX");
NCo.LC(F);
4
-------------------------------
NCo.LC([]); -- 0 polynomial
0
-------------------------------


See Also