On Fri, Dec 09, 2011 at 10:19:22AM +0100, Jeroen Demeyer wrote:
> I am asking for:
>
> sage: e = SymmetricFunctions(QQ).e()
> sage: R. = PolynomialRing(QQ)
> sage: e[3,1,1].express_as_polynomial([1,e1,e2,e3])
> e1^2*e3
Ah, you want the result expressed as a plain polynomial. Then it's
just a one-
On 2011-12-09 07:39, Dima Pasechnik wrote:
> Hmm, not sure I understand what you are asking for.
I am asking for:
sage: e = SymmetricFunctions(QQ).e()
sage: R. = PolynomialRing(QQ)
sage: e[3,1,1].express_as_polynomial([1,e1,e2,e3])
e1^2*e3
or something like:
sage: e = SymmetricFunctions(QQ).e()
On Friday, 9 December 2011 04:25:23 UTC+8, Jeroen Demeyer wrote:
>
> On 2011-12-08 20:16, Mike Hansen wrote:
> > e[3,2,1] represents the product e[3]*e[2]*[1]:
> As far as I can tell, this is nowhere mentioned in the documentation.
>
well, this is standard in the symmetric functions business.
e_
On 2011-12-08 20:16, Mike Hansen wrote:
> e[3,2,1] represents the product e[3]*e[2]*[1]:
As far as I can tell, this is nowhere mentioned in the documentation.
Certainly not in the obvious places.
> sage: e[3]*e[2]*e[1]
> e[3, 2, 1]
It would be nice to be able to expand e[3,2,1] into a polynomial
e
On Thu, Dec 8, 2011 at 10:56 AM, Jeroen Demeyer wrote:
> On 2011-12-04 14:34, Nicolas M. Thiery wrote:
>> On Sun, Dec 04, 2011 at 03:56:39AM -0800, Dima Pasechnik wrote:
>>> unless I missed something,
>>> your
>>> http://combinat.sagemath.org/doc/thematic_tutorials/demo-symmetric-functions.
On Thu, Dec 08, 2011 at 07:56:11PM +0100, Jeroen Demeyer wrote:
> On 2011-12-04 14:34, Nicolas M. Thiery wrote:
> > On Sun, Dec 04, 2011 at 03:56:39AM -0800, Dima Pasechnik wrote:
> >>unless I missed something,
> >>your
> >> http://combinat.sagemath.org/doc/thematic_tutorials/demo-symmetri
On 2011-12-04 14:34, Nicolas M. Thiery wrote:
> On Sun, Dec 04, 2011 at 03:56:39AM -0800, Dima Pasechnik wrote:
>>unless I missed something,
>>your
>> http://combinat.sagemath.org/doc/thematic_tutorials/demo-symmetric-functions.html
>>lacks any information as to how to take any symmetr
On Sunday, 4 December 2011 21:34:20 UTC+8, Nicolas M. Thiéry wrote:
>
> On Sun, Dec 04, 2011 at 03:56:39AM -0800, Dima Pasechnik wrote:
> >unless I missed something,
> >your
> http://combinat.sagemath.org/doc/thematic_tutorials/demo-symmetric-functions.html
> >lacks any information a
On Sun, Dec 04, 2011 at 03:56:39AM -0800, Dima Pasechnik wrote:
>unless I missed something,
>your
> http://combinat.sagemath.org/doc/thematic_tutorials/demo-symmetric-functions.html
>lacks any information as to how to take any symmetric polynomial, and
>expand it in some basis of
Hi Nicolas,
unless I missed something,
your
http://combinat.sagemath.org/doc/thematic_tutorials/demo-symmetric-functions.html
lacks any information as to how to take any symmetric polynomial, and
expand it in some basis of symmetric functions.
Is it even possible with the combinat functionality
On Sat, Dec 03, 2011 at 01:22:32AM -0300, Federico Lebrón wrote:
> I've written a small pair of functions which could be useful:
>
> 1) A function is_symmetric which, given a polynomial, returns whether
> or not the polynomial is a symmetric polynomial.
> 2) A function symmetrize whic
Hi.
I've written a small pair of functions which could be useful:
1) A function is_symmetric which, given a polynomial, returns whether
or not the polynomial is a symmetric polynomial.
2) A function symmetrize which, given a symmetric polynomial, returns
an equivalent expression
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