SFA::Pol2SfA --
from the basis of monomials to SFA
Call(s)
SFA::Pol2SfA(pol,vlist)
Parameterspol | - | a polynomial symmetric in vlist |
vlist | - | a list of variables |
IntroductionThe SFA::Pol2SfA function transforms any polynomial symmetric in
the list of variables vlist into a linear combination of
monomial symmetric functions of SFA.
SFA::Pol2SfA does not check that pol is symmetric.
Example 1>> muEC::SFA::SfAVars( {{x}, u, v} );
{{x}, u, v}
>> tt := muEC::SFA::SfAExpand( m[3,2](x1+u+v) - q*s[2,2](x1+u+v) );
2 3 3 2 2 3 3 2 2 3 3 2 2 2
u v + u v + u x1 + u x1 + v x1 + v x1 - q u v -
2 2 2 2 2 2 2
q u x1 - q v x1 - q u v x1 - q u v x1 - q u v x1
>> muEC::SFA::Pol2SfA(tt, [x1,u,v]);
m[3, 2](u + v + x1) - q m[2, 2](u + v + x1) -
q m[2, 1, 1](u + v + x1)
Related FunctionsMuPAD Combinat, an open source algebraic combinatorics package