Difference between revisions of "ApCoCoA-1:BBSGen.Poldeg"
From ApCoCoAWiki
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<item>@param A homogeneous polynomial with respect to the arrow grading from the ring K[c], order ideal OO, border BO,number of indeterminates of the polynomial ring K[x_1,...,x_N] and the weight matrix(<ref>BBSGen.Wmat</ref>). | <item>@param A homogeneous polynomial with respect to the arrow grading from the ring K[c], order ideal OO, border BO,number of indeterminates of the polynomial ring K[x_1,...,x_N] and the weight matrix(<ref>BBSGen.Wmat</ref>). | ||
</item> | </item> | ||
| − | <item>@return Degree vector of the given homogenous polynomial wrt. the arrow grading . </item> | + | <item>@return Degree vector of the given homogenous polynomial wrt. the arrow grading. </item> |
</itemize> | </itemize> | ||
| Line 43: | Line 43: | ||
<types> | <types> | ||
<type>borderbasis</type> | <type>borderbasis</type> | ||
| + | <type>bbsmingensys</type> | ||
<type>Vector</type> | <type>Vector</type> | ||
<type>apcocoaserver</type> | <type>apcocoaserver</type> | ||
Revision as of 20:14, 18 June 2012
BBSGen.PolDeg
This function computes the arrow degree of a given homogenous polynomial from the ring K[c](see BBSGen.WMat).
Syntax
BBSGen. Poldeg(F,OO,BO,N,W); BBSGen.Poldeg(F:POLY,OO:LIST,BO:LIST,N:INT,W:MAT):VECTOR;
Description
@param A homogeneous polynomial with respect to the arrow grading from the ring K[c], order ideal OO, border BO,number of indeterminates of the polynomial ring K[x_1,...,x_N] and the weight matrix(BBSGen.Wmat).
@return Degree vector of the given homogenous polynomial wrt. the arrow grading.
Example
Use R::=QQ[x[1..2]]; OO:= $apcocoa/borderbasis.Box([1,1]); BO:=$apcocoa/borderbasis.Border(OO); Mu:=Len(OO); Nu:=Len(BO); N:=Len(Indets()); W:=BBSGen.Wmat(OO,BO,N); Use XX::=QQ[c[1..Mu,1..Nu],t[1..N,1..N,1..Mu,1..Mu]]; F:= c[2,4]c[4,1] - c[3,3]c[4,2] - c[2,3] + c[3,4]; BBSGen.Poldeg(F,OO,BO,N,W); R :: Vector(1, 1)
