Package sagbi/SB.IsInToricRing: Difference between revisions
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<short_description>This function checks whether a given polynomial is in a toric subalgebra.</short_description> | <short_description>This function checks whether a given polynomial is in a toric subalgebra.</short_description> | ||
<syntax> | <syntax>SB.IsInToricRing(f: RINGELEM, S: TAGGED("$apcocoa/sagbi.Subalgebra")): BOOL</syntax> | ||
SB.IsInToricRing(f: RINGELEM, S: TAGGED("$apcocoa/sagbi.Subalgebra")): BOOL | |||
<description> | <description> | ||
This function takes a polynomial <tt>f</tt> and a subalgebra <tt>S</tt> generated by a set of terms and checks whether <tt>f</tt> is a toric ring. | This function takes a polynomial <tt>f</tt> and a subalgebra <tt>S</tt> generated by a set of terms and checks whether <tt>f</tt> is a toric ring. | ||
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f := x^5*y^3*z^2 + x^4*y^2*z^2; | f := x^5*y^3*z^2 + x^4*y^2*z^2; | ||
SB.IsInToricRing(f,S); | SB.IsInToricRing(f,S); | ||
-- true | -- true</example> | ||
</description> | </description> | ||
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</types> | </types> | ||
<key> </key> | <key>IsInToricRing</key> | ||
<key> </key> | <key>SB.IsInToricRing</key> | ||
<key> </key> | <key>apcocoa/sagbi.IsInToricRing</key> | ||
<wiki-category>Package </wiki-category> | <wiki-category>Package sagbi</wiki-category> | ||
</command> | </command> | ||
Latest revision as of 13:22, 29 October 2020
| This article is about a function from ApCoCoA-2. |
SB.IsInToricRing
This function checks whether a given polynomial is in a toric subalgebra.
Syntax
SB.IsInToricRing(f: RINGELEM, S: TAGGED("$apcocoa/sagbi.Subalgebra")): BOOL
Description
This function takes a polynomial f and a subalgebra S generated by a set of terms and checks whether f is a toric ring.
@param f A polynomial
@param S A subalgebra of RingOf(f)
@return true if f is an element of S and false otherwise.
Example
Use R ::= QQ[x,y,z]; S := SB.Subalgebra(R,[x^2,x*y,y*z]); f := x^5*y^3*z^2 + x^4*y^2*z^2; SB.IsInToricRing(f,S); -- true
See also
Package sagbi/SB.IsInSubalgebra
Package sagbi/SB.IsInSubalgebra_SAGBI
