ApCoCoA-1:BBSGen.Poldeg: Difference between revisions
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<command> | <command> | ||
<title>BBSGen.PolDeg</title> | <title>BBSGen.PolDeg</title> | ||
<short_description>: This function computes the arrow degree of a given homogenous polynomial from the ring K[c] | <short_description>: This function computes the arrow degree of a given homogenous polynomial from the ring K[c](see <ref>BBSGen.WMat</ref>). | ||
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<itemize> | <itemize> | ||
<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> | ||
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Use R::=QQ[x[1..2]]; | Use R::=QQ[x[1..2]]; | ||
OO:= | OO:= $apcocoa/borderbasis.Box([1,1]); | ||
BO:= | BO:=$apcocoa/borderbasis.Border(OO); | ||
Mu:=Len(OO); | Mu:=Len(OO); | ||
Nu:=Len(BO); | Nu:=Len(BO); | ||
Revision as of 23:23, 14 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)
