If you want solution for this precise equation, look for "thue
equation".
The thue equations are some of the few for which there exists
efficient methods.
for example in PARI/GP (from sage with gp_console())
sage: gp_console()
GP/PARI CALCULATOR Version 2.3.3 (released)
[snip]
P
2009/12/7 hms :
> I had the same problem with VirtualBox 3.1.0 in Vista: VirtualBox was
> ignoring the squashfs partition, so Linux loaded but Sage didn't.
>
> The fix was to edit the "IDE Controller" list in VirtualBox ->
> Settings -> Storage. There should be three entries:
>
> sage_appliance.v
Hi Jorge,
On Tue, Dec 8, 2009 at 10:25 AM, wrote:
> Please unsubscribe me..
At your request, you are now unsubscribed from the sage-support mailing list.
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Please unsubscribe me..
Thanks
Jorge Hernando
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URL: ht
I had the same problem with VirtualBox 3.1.0 in Vista: VirtualBox was
ignoring the squashfs partition, so Linux loaded but Sage didn't.
The fix was to edit the "IDE Controller" list in VirtualBox ->
Settings -> Storage. There should be three entries:
sage_appliance.vmdk
sage_appliance_swap.vmdk
On Dec 7, 7:21 pm, John Cremona wrote:
> PS Your second example is a Weierstrass model but not integral:
>
> sage: E = EllipticCurve([0,0,0,0,-81/4])
> sage: E.integral_points()
> ---
> ...
> ValueError: integral_points() ca
2009/12/7 Robert Bradshaw :
> On Dec 6, 2009, at 6:40 AM, tmb wrote:
>
I'm sorry to say, but the way I see it, there is really a serious
problem with Sage notebooks right now.
>>>
>>> Please, please, fix it. I've never had any of the issues you're
>>> describing, but it sounds like you ha
On Dec 6, 2009, at 6:40 AM, tmb wrote:
>>> I'm sorry to say, but the way I see it, there is really a serious
>>> problem with Sage notebooks right now.
>>
>> Please, please, fix it. I've never had any of the issues you're
>> describing, but it sounds like you have a lot of reproducible bugs
>> o
I clicked on "Help" and then "Reference" from the notebook in Sage
4.2.1. The Reference link is missing for both the pdf and the html
reference document. The "Tutorial", "Construction" ect work fine. I
am running Sage in VirtualBox where I set up Ubuntu 9.1 myself and
compiled it from the Sage4
Thanks, William!
I guess so far it only works over Q?
--Matt
On Dec 7, 7:43 pm, William Stein wrote:
> 2009/12/7 Matt Bainbridge :
>
> > Hi there,
>
> > Does anyone know if Sage has a function for computing the composition
> > inverse of a power series (not the reciprocal)?
>
> Yep, we have t
On Dec 6, 2009, at 6:37 AM, tmb wrote:
>> SSH uses $HOME/.ssh
>> Thunderbird uses $HOME/.thunderbird
>> Mathematica uses $HOMe/.Mathematica
>>
>> Lots of programs do put configuration data in directories which
>> start with a dot.
>
> Yes, lots of programs put _configuration_ data in dot directo
2009/12/7 Matt Bainbridge :
> Hi there,
>
> Does anyone know if Sage has a function for computing the composition
> inverse of a power series (not the reciprocal)?
Yep, we have that:
sage: R. = QQ[[]]
sage: f = 1/(1-x) - 1; f
x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12
Hi there,
Does anyone know if Sage has a function for computing the composition
inverse of a power series (not the reciprocal)?
--Matt
P.S. Just started using sage and finding it very useful. Thanks for
developing it.
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You might also take a look at the full book www.ucm.es/BUCM/mat/doc8354.pdf
And of course, it's only a method to go from a general cubic equation
to a weierstrass form, net a general method th find integral points.
On Dec 7, 6:24 pm, Yann wrote:
> The general method is called Naggel's algorith
The general method is called Naggel's algorithm.
Take a look at http://www.math.mcgill.ca/connell/public/ECH1/c1.ps
(1.4)
On Dec 7, 1:53 pm, Jaakko Seppälä wrote:
> Hello again!
>
> Is that method general? I tried now to find the integer points of x^3
> - 3*x*y^2-y^3-1 without success.
>
> Jaakk
PS Your second example is a Weierstrass model but not integral:
sage: E = EllipticCurve([0,0,0,0,-81/4])
sage: E.integral_points()
---
...
ValueError: integral_points() can only be called on an integral model
But you can do
The integer points function applies to elliptic curves which in Sage
are implemented via the EllipticCurve constructor. Note that elliptic
curves in Sage are always given by Weierstrass equations.
sage: E = EllipticCurve([0,0,1,-7,6])
sage: E.rank()
3
sage: E.integral_points()
[(-3 : 0 : 1),
(-
Hello again!
Is that method general? I tried now to find the integer points of x^3
- 3*x*y^2-y^3-1 without success.
Jaakko
sage: R. = QQ[]
sage: P = x^3 - 81/4 + y^2
sage: E=EllipticCurve(P)
---
NotImplementedError
Dear all,
I encountered a similar problem as described by Christopher Brown.
Since yesterday I had been attempting to install Sage 4.2.1 using
VirtualBox 3.1.0 on two laptops, one with Windows Vista and another
with Windows XP. I always got an error when finalizing the importing
of Sage. Afterward
Hello,
This bug feels very similar to 7614 (not 7165) and so 5572.
http://trac.sagemath.org/sage_trac/ticket/7165
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On Dec 6, 1:50 pm, taco wrote:
> Thank you for all the replies.
>
> Re: William Stein
> I found substitute_function() useful for other purposes, but it wasn't
> useful in this case since I didn't want to replace all instances of
> arctan2, just the subset where the first parameter was 0.
>
> Re:
On Dec 6, 5:30 pm, William Stein wrote:
> On Sun, Dec 6, 2009 at 4:51 PM, Michel wrote:
> > Thanks for the reply. But no. The problem is not due to the fact that
> > the function has a singularity. Indeed.
>
> > plot(20*log(abs((1+I*x)^4),10),(x,0,3))
>
> > fails with the same error which is in
William Stein wrote:
> On Sun, Dec 6, 2009 at 4:51 PM, Michel wrote:
>> Thanks for the reply. But no. The problem is not due to the fact that
>> the function has a singularity. Indeed.
>>
>> plot(20*log(abs((1+I*x)^4),10),(x,0,3))
>>
>> fails with the same error which is incomprehensible to me.
>>
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