Difference between revisions of "Package sagbi/SB.GetInDeg"
From ApCoCoAWiki
Andraschko (talk | contribs) (Created page with "{{Version|2}} <command> <title>SB.GetInDeg</title> <short_description>This function computes a vector space basis of a homogeneous component of a given degree of a given s...") |
m (replaced <quotes> tags by real quotes) |
||
| Line 4: | Line 4: | ||
<short_description>This function computes a vector space basis of a homogeneous component of a given degree of a given standard-graded subalgebra.</short_description> | <short_description>This function computes a vector space basis of a homogeneous component of a given degree of a given standard-graded subalgebra.</short_description> | ||
| − | <syntax>SB.GetInDeg(S: TAGGED( | + | <syntax>SB.GetInDeg(S: TAGGED("$apcocoa/sagbi.Subalgebra"),d: INT): LIST of POLY</syntax> |
<description> | <description> | ||
This function computes a vector space basis of the set <tt>{f in S | deg(t) = d for all t in the support of f}</tt>, i.e. the set of all homogeneous polynomials in <tt>S</tt> of degree <tt>d</tt>. | This function computes a vector space basis of the set <tt>{f in S | deg(t) = d for all t in the support of f}</tt>, i.e. the set of all homogeneous polynomials in <tt>S</tt> of degree <tt>d</tt>. | ||
Latest revision as of 13:21, 29 October 2020
| This article is about a function from ApCoCoA-2. |
SB.GetInDeg
This function computes a vector space basis of a homogeneous component of a given degree of a given standard-graded subalgebra.
Syntax
SB.GetInDeg(S: TAGGED("$apcocoa/sagbi.Subalgebra"),d: INT): LIST of POLY
Description
This function computes a vector space basis of the set {f in S | deg(t) = d for all t in the support of f}, i.e. the set of all homogeneous polynomials in S of degree d.
@param S A standard graded subalgebra, i.e. a subalgebra generated by homogeneous polynomials
@param d The desired degree
@return A vector space basis of S_d
Example
Use R ::= QQ[x,y,z]; S := SB.Subalgebra(R,[x^2,y+z]); PrintLn SB.GetInDeg(S,3); -- [y^3 +3*y^2*z +3*y*z^2 +z^3, x^2*y +x^2*z]
See also
Package sagbi/SB.GetTruncSAGBI
