On 5 September 2012 02:41, Cindy wrote:
> Hi, David,
>
> Yes, that's what I mean. Can I find it using sage?
>
> Thanks.
>
> Cindy
sage: K. = NumberField(x^3 - x + 17)
sage: I = K.primes_above(17)[0]
sage: K.trace_dual_basis(I.basis())
[4/132583*z^2 + 6/7799*z + 2597/132583, -153/7799*z^2 - 2/7799
On 5 September 2012 02:56, Cindy wrote:
> Hi,
>
> Let K be a number field and O_k denote its ring of integers. For an ideal, J
> of O_k, we can have an ideal lattice (I,b_\alpha), where
>
> b_\alpha: J\times J \to Z, b_\alpha(x,y)=Tr(\alpha xy), \forall x,y \in J
>
> and \alpha is a totally positi
Hi, David,
Could you please explain a little bit about the code?
For the example you use, it seems I is an ideal above 17, what does [0]
mean?
In the end do we get a basis of the dual of I? Why do we need to put
I.basis() in the bracket of trace_dual_basis?
Thanks a lot.
Cindy
On Wednesday,
I tried matrixplot. It works. Thanks
But it doesen't solve the origin problem.
Am Mittwoch, 22. August 2012 18:15:15 UTC+2 schrieb danjo86:
>
> Hey,
>
> i need some help. I try to definde the mandelbrotset with colors defined
> by following function:
>
> sage: def mandel(x,y):
> v=[];
On 5 September 2012 09:34, Cindy wrote:
> Hi, David,
>
> Could you please explain a little bit about the code?
Sure, but you should make a little effort to play with it yourself for
a bit first.
> For the example you use, it seems I is an ideal above 17, what does [0]
> mean?
The command K.prim
Why don't you ask them to install the sage server on a different machine,
and let other people acces it via the notebook? In Leiden they have also
taken this approach and it works fine (see sage.math.leidenuniv.nl).
Thanks Maarten
Le jeudi 30 août 2012 04:34:14 UTC+2, Luis Garcia-Puente a écrit
Hi, David,
Thanks a lot. I tried trace_dual_basis? to find out the meaning. I didn't
realize I should use K.trace_dual_basis?
Thanks. :)
Cindy
On Wednesday, September 5, 2012 5:15:19 PM UTC+8, David Loeffler wrote:
>
> On 5 September 2012 09:34, Cindy >
> wrote:
> > Hi, David,
> >
> > Coul
Hi, David,
Thanks a lot! It works.^^
Cindy
On Wednesday, September 5, 2012 4:30:40 PM UTC+8, David Loeffler wrote:
>
> On 5 September 2012 02:56, Cindy >
> wrote:
> > Hi,
> >
> > Let K be a number field and O_k denote its ring of integers. For an
> ideal, J
> > of O_k, we can have an ideal
Hi,
Let K be a number field and O_k denote its ring of integers. For an ideal,
J of O_k, we can have an ideal lattice (I,b_\alpha), where
b_\alpha: J\times J \to Z, b_\alpha(x,y)=Tr(\alpha xy), \forall x,y \in J
and \alpha is a totally positive element of K\{0}.
Suppose now I know J and \alph
Hi, David,
BTW, do you know how to find the minimum norm of the lattice? I posted a
question regarding this in this group. Do you know which function I should
use?
Thanks.
Cindy
On Wednesday, September 5, 2012 4:30:40 PM UTC+8, David Loeffler wrote:
>
> On 5 September 2012 02:56, Cindy >
> w
> how can I get the minimum norm for the
> ideal lattice (J,\alpha) using sage?
What have you tried so far?
David
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On 9/5/12 3:56 AM, danjo86 wrote:
But it doesen't solve the origin problem.
What problem exactly does it not solve?
Thanks,
Jason
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On 9/5/12 4:26 AM, Maarten Derickx wrote:
Why don't you ask them to install the sage server on a different
machine, and let other people acces it via the notebook? In Leiden they
have also taken this approach and it works fine (see
sage.math.leidenuniv.nl).
That's the approach we also take. A
Sorry I am a beginner
I have a function B(t)=(1-t)(t,t)+t*((3-t),t)
There is a way to expand this function in sage?
result expected:
B(t)=(t-t^2,t-t^2)+(t(3-t),t^2)
B(t)=(t-t^2+t(3-t),t-t^2+t^2)
B(t)=(4t-2t^2),t)
and after I should plot this 2d curve.
Thanks in advance.
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On 9/5/12 9:57 AM, alessio211734 wrote:
Sorry I am a beginner
I have a function B(t)=(1-t)(t,t)+t*((3-t),t)
There is a way to expand this function in sage?
result expected:
B(t)=(t-t^2,t-t^2)+(t(3-t),t^2)
B(t)=(t-t^2+t(3-t),t-t^2+t^2)
B(t)=(4t-2t^2),t)
and after I should plot this 2d curve.
Hi,
I'm trying to compute something using multivariate polynomials, and am
struggling to understand the relation between polynomials of type
and of type .
How does one create one or the other? And, mainly: how can one convert from
one to the other?
What happened to me is that I unwillingl
Hi,
On Wednesday 05 Sep 2012, Robert Samal wrote:
> Hi,
>
> I'm trying to compute something using multivariate polynomials, and am
> struggling to understand the relation between polynomials of type 'sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular
> '> and of type 'sa
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