Difference between revisions of "ApCoCoA-1:NCo.BLW"
| Line 2: | Line 2: | ||
<title>NCo.BLW</title> | <title>NCo.BLW</title> | ||
<short_description> | <short_description> | ||
| − | The leading word of a non-zero polynomial in a free monoid ring over the binary field F_{2}={0,1}. | + | The leading word (or term) of a non-zero polynomial in a free monoid ring over the binary field F_{2}={0,1}. |
</short_description> | </short_description> | ||
<syntax> | <syntax> | ||
NCo.BLW(F:LIST):STRING | NCo.BLW(F:LIST):STRING | ||
| + | NCo.BLT(F:LIST):STRING | ||
</syntax> | </syntax> | ||
<description> | <description> | ||
Revision as of 17:42, 2 May 2013
NCo.BLW
The leading word (or term) of a non-zero polynomial in a free monoid ring over the binary field F_{2}={0,1}.
Syntax
NCo.BLW(F:LIST):STRING NCo.BLT(F:LIST):STRING
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 alphabet (or set of indeterminates) X and word ordering via the functions NCo.SetX and NCo.SetOrdering, respectively, before calling this function. The default ordering is the length-lexicographic ordering ("LLEX"). For more information, please check the relevant functions.
@param F: a non-zero 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 STRING which represents the leading word of F with respect to the current word ordering. If F=0, the function returns nothing.
Example
NCo.SetX(<quotes>xX</quotes>); NCo.SetOrdering(<quotes>LLEX</quotes>); F1:=[<quotes>xX</quotes>,<quotes>Xx</quotes>]; NCo.BLW(F1); xX ------------------------------- NCo.BLW([]); -------------------------------
See also
