On Friday, April 27, 2012 6:38:50 AM UTC+8, William Stein wrote:
>
> E.g., in sage-5.0-pre15:
>
> sage: sage: s=CyclotomicField(24,'s').gen()
> sage: sage: (8*s^6-1)^10
> -1098715216*s^6 - 372960063
> sage: sage: xb=matrix(1,1,[8*s^6-1])
> sage: sage: xb^10
> [-1098715216*s^6 - 372960063]
>
Hi,
I have a system of differential equations and sage give me the
solution as follows,
The system:
x10,x20,x30,t,f1,f2,c11,c22,c12,c23,k1,k2,x1,x2,x3=var('x10,x20,x30,t,f1,f2,c11,c22,c12,c23,k1,k2,x1,x2,x3')
v1=f1*(x1-k1*x2)/(1+c11*x1+c12*x2)
v2=f2*(x2-k2*x3)/(1+c22*x2+c23*x3)
x1= function('x1',t
On Wed, Apr 25, 2012 at 8:45 AM, Graham Gerrard
wrote:
> Finding occasional inconsistencies when using matrices with cyclotomic
> entries, though works well most of the time...
>
> sage: s=CyclotomicField(24,'s').gen()
> sage: (8*s^6-1)^10
> -1098715216*s^6 - 372960063
> sage: xb=matrix(1,1,[8*s^6
The fact that the discrepancy is 46273*46153 (both primes) makes me suspect
that there's a factor of
2 missing in the CRT bounds, to allow for $\pm$. But I don't have the
source here to check.
On Thursday, 26 April 2012 11:19:49 UTC+1, Alastair Irving wrote:
>
> On 25/04/2012 16:45, Graham Gerra
I thought the variables are real in the OP, non?
Then you can split n linear inequalitiies abs(sum(p_i))>1 into 2^n cases
sum(p_i))>1 or sum(p_i))<-1
On Wednesday, April 25, 2012 2:56:45 AM UTC-4, Nathann Cohen wrote:
>
> Hello !!!
>
> > Do you mean to say that you have complex num
On Thursday, 26 April 2012 23:32:01 UTC+8, Nathann Cohen wrote:
>
> Hell !!!
>
> > it should not be hard to deal with the case when you don't have
> inequalities
> > like |p_j-p_k|>=D, but only |p_j-p_k|<=C.
> > This would make your problem convex, etc.
>
> Indeed, but in this ca
Hell !!!
> it should not be hard to deal with the case when you don't have inequalities
> like |p_j-p_k|>=D, but only |p_j-p_k|<=C.
> This would make your problem convex, etc.
Indeed, but in this case all my problems would have a trivial solution
==> all variables equal to zero :-)
N
On Wednesday, 25 April 2012 14:56:45 UTC+8, Nathann Cohen wrote:
>
> Hello !!!
>
> > Do you mean to say that you have complex numbers p_j and your
> inequalities
> > are of the form
> > |p_j-p_k|<=C and |p_j-p_k|>=D, and that you also have
> > some equations on Re(p_j) and Im(p_j) ?
On Apr 26, 2012 1:07 AM, "Luiz Roberto Meier"
wrote:
> Dear Stein,
>
> I have missed (!) the date of the next release of the SAGE package. I use
> it in LiveCD and installed in my Fedora 16 (Sage 4.8). Do you know when
> they will release the next version? I'm sure that I saw that in the website
On 25/04/2012 16:45, Graham Gerrard wrote:
Finding occasional inconsistencies when using matrices with cyclotomic
entries, though works well most of the time...
sage: s=CyclotomicField(24,'s').gen()
sage: (8*s^6-1)^10
-1098715216*s^6 - 372960063
sage: xb=matrix(1,1,[8*s^6-1])
sage: xb^10
[103692
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