"dict" function would be enough for implementing
the basis changing in multivariate polynomials for sure.
Cheers,
Ahmad
On Dec 1, 10:47 am, David Harvey <[EMAIL PROTECTED]> wrote:
> Hi Ahmad,
>
> Unfortunately I know nothing about multivariate polynomials in sage,
> but in
lane = x[0] + x[1];
sage: J = ideal(MyHyperplane)
sage: CinW = J.reduce(X)
sage: print CinW
Traceback (most recent call last):
...
TypeError: cannot coerce nonconstant polynomial
Thank you very much in Advance!
Bests,
Ahmad
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To post to this group, sen
n (More question is on the way ... :">)
Bests,
Ahmad
On Dec 1, 3:27 am, Ahmad <[EMAIL PROTECTED]> wrote:
> Hi David,
>
> Thank you very much for your solution. I think it is enough for me as
> finally I want to see the result in normal basis. However, I changed
> the code a little
n (More question is on the way ... :">)
Bests,
Ahmad
On Dec 1, 3:27 am, Ahmad <[EMAIL PROTECTED]> wrote:
> Hi David,
>
> Thank you very much for your solution. I think it is enough for me as
> finally I want to see the result in normal basis. However, I changed
> the code a little
uation become many equations) and then I should pass some
hyper-plane through it in its base field.
Thanx again.
Ahmad
On Nov 30, 8:20 am, David Harvey <[EMAIL PROTECTED]> wrote:
> On Nov 30, 2007, at 2:45 AM, Ahmad wrote:
>
>
>
>
>
> > Dear Sage Supporters,
>
&
g over k[x]:
sage: k = GF(2);
sage: R = k['x']; x = R.gen()
sage: S = R['t']; t = S.gen()
sage: SBar = S.quotient(t^4 + t^3 + t^2 + t + 1, 'a'); a = SBar.gen()
sage: print x*a^4
x*a^3 + x*a^2 + x*a + x
How can I change this basis to normal basis, so I get:
sage:
Thanx!
On Oct 1, 9:16 am, Martin Albrecht <[EMAIL PROTECTED]>
wrote:
> > I just wanted to know what is the difference between case 2^15 and
> > 2^16.
>
> > Thanx in advance!
>
> > Bests,
> > Ahmad
>
> These are different implementations. GF(2^
Anyway the to_V function introduced by William is wokring fine:
def to_V(w):
return V(w.polynomial().padded_list(V.dimension()))
On Oct 1, 5:35 am, Ahmad <[EMAIL PROTECTED]> wrote:
> I just tried this and when the field is bigger or equal to 2^16 I got
> following error:
&g
13
V(z)
Exception (click to the left for traceback):
...
TypeError: can't initialize vector from nonzero non-list
I just wanted to know what is the difference between case 2^15 and
2^16.
Thanx in advance!
Bests,
Ahmad
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To post to this
nomial ring in normal basis. Not just the sage result
in original field in normal basis.
After all I'm addicted to simicolons because of my habit of C
Programming! Is not necessary at all? ;)
Ahmad
On Sep 6, 6:27 am, "David Joyner" <[EMAIL PROTECTED]> wrote:
> On 9/6/07,
"vector_modn_dense.pyx", line 134, in
vector_modn_dense.Vector_modn_dense.__init__
TypeError: can't initialize vector from nonzero non-list
Could you please help me to make the vector space aspect of my finite
field works for its polynomial ring as well and give me something
like:
(0
, "William Stein" <[EMAIL PROTECTED]> wrote:
> On 9/3/07, Ahmad <[EMAIL PROTECTED]> wrote:
>
>
>
> > I'm new to sage and I don't know even if I'm supposed to post such
> > questions to this group or not. If it is a correct place:
>
> >
such questions, please guide me to
the correct place.
Thank you very much for your attention and devotion of time!
Bests,
Ahmad
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