"Nicolas M. Thiery" <nicolas.thi...@u-psud.fr> writes:
> On Mon, Aug 27, 2012 at 11:41:47AM +0200, Nicolas M. Thiery wrote:
>> sage: Sym.h() # should this be complete?
>> Sym on the homogeneous basis
>
> Hugh agrees with me (and Alain!) that "homogeneous" should be changed
> to "complete". Other opinions?
Stanley (EC II, first paragraph of Section 7.5, pg 294) says
"... complete homogeneous symmetric functions (or just complete
symmetric functions) ..."
I think that "in the complete basis" is somewhat strange to read.
How about
sage: Sym.p()
Sym; basis: powersum
sage: Sym.m()
Sym; basis: monomial
sage: Sym.e()
Sym; basis: elementary
sage: Sym.h() # should this complete?
Sym; basis: complete
sage: Sym.s() # Mind the capital here
Sym; basis: Schur
sage: Sym.f()
Sym; basis: forgotten
> He also suggests that it should be "Sym in the ... basis". What do
> other native speakers think? It should be a shorthand for "Sym, with
> elements expressed by expanding them in/on the ... basis".
I am not native, but I also think it should be "in"
> Also, a short name without renaming will be appreciated from my
> side.
Can you be more explicit, e.g. with a dream sage session?
Symmetric Functions over Fraction Field of Multivariate Polynomial
Ring in q, t over Rational Field
is OK.
Martin
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