The muEC::SYMF::SfCollect function transforms products of power sums, elementary and complete functions into a valid SYMF expression.
Special algorithms are used for products of monomial symmetric functions and products of Schur functions.
The muEC::SYMF::SfCollect function also normalizes indexing vectors of each symmetric function.
Valid bases are SYMF::SYMFBases. They all are considered by default.
One may specify to collect products (and / or normalize indexing vectors) expressed only on specified bases by adding a second argument which is either a single basis or a list of bases.
Call:
muEC::SYMF::SfCollect(sf, <b>, <blist>)
Parameters:
|
sf: |
a linear combination of products of symmetric functions |
|
b: |
a basis |
|
blist: |
a list of bases |
Related Functions:
muEC::SFA::SfACollect, muEC::SYMF::Toe, muEC::SYMF::Toh, muEC::SYMF::Tom, muEC::SYMF::Top, muEC::SYMF::Tos
muEC::SYMF::SfCollect( p[3]^4 * e[2] * e[1] - q*s[2]^2 );
muEC::SYMF::SfCollect( p[1,2]^2 - q*m[1,0,0]^2*s[1,3]^2, [ s, m ] );
2
p[1, 2] - 2 q (m[2] + 2 m[1, 1])
(s[4, 4] + s[4, 2, 2] + s[4, 3, 1] + s[2, 2, 2, 2] +
s[3, 2, 2, 1] + s[3, 3, 1, 1])
muEC::SYMF::SfCollect( p[1,2]^2 - q*m[1,0,0]^2*s[1,3]^2, p );
