On Thu, 08 Feb 2007 00:23:16 -0700, didier deshommes <[EMAIL PROTECTED]> wrote:
>
> On 2/8/07, William Stein <[EMAIL PROTECTED]> wrote:
>> Didier,
>>
>> Would RealLib, which still hasn't fully made its way into SAGE, be very
>> relevant
>> to this question? Can it somehow decide equality of som
On 2/8/07, William Stein <[EMAIL PROTECTED]> wrote:
> Didier,
>
> Would RealLib, which still hasn't fully made its way into SAGE, be very
> relevant
> to this question? Can it somehow decide equality of some class of real
> numbers
> defined via an algorithm (e.g., sqrt(2) + 1 - 1 is defined by
On 2/8/07, William Stein <[EMAIL PROTECTED]> wrote:
> I found it is as follows: (...)
Thanks for the pointers.
> The approximate real number library mpfr that SAGE builds on defines
> equality for approximate real numbers in SAGE. If you look at
> the underlying binary representations of the
On Wed, 07 Feb 2007 23:22:46 -0700, didier deshommes <[EMAIL PROTECTED]> wrote:
>
> On 2/8/07, Luis Finotti <[EMAIL PROTECTED]> wrote:
>> Thanks! I could not find that in the Reference Manual...
>>
>> On the other hand, it seems that Sage (or Python) does not handle
>> equality of reals very wel
On Wed, 07 Feb 2007 23:15:41 -0700, Luis Finotti <[EMAIL PROTECTED]> wrote:
>> sage: E=EllipticCurve(RR,[0,-1])
>> sage: x0=RR(4)^(1/3)
>> sage: y0=sqrt(RR(3))
>> sage: p=E.point([x0,y0,1], check=False)
>> sage: p
>> (1.58740105196819 : 1.73205080756887 : 1)
>> sage: 2*p, 3*p
>> ((1.5874010519681
On 2/8/07, Luis Finotti <[EMAIL PROTECTED]> wrote:
> Thanks! I could not find that in the Reference Manual...
>
> On the other hand, it seems that Sage (or Python) does not handle
> equality of reals very well:
Hi,
this is most likey due to rounding errors. The equality holds for fractions:
{{{
Hello,
> It's good that you asked.Do this instead:
>
> sage: E=EllipticCurve(RR,[0,-1])
> sage: x0=RR(4)^(1/3)
> sage: y0=sqrt(RR(3))
> sage: p=E.point([x0,y0,1], check=False)
> sage: p
> (1.58740105196819 : 1.73205080756887 : 1)
> sage: 2*p, 3*p
> ((1.58740105196819 : -1.73205080756887 : 1),
- Original Message -
From: Luis Finotti <[EMAIL PROTECTED]>
Date: Wednesday, February 7, 2007 9:50 pm
Subject: [sage-support] Real points on elliptic curves
To: sage-support@googlegroups.com
> sage: E=EllipticCurve(RR,[0,-1])
> sage: x0=RR(4)^(1/3)
> sage: y0=sqrt(RR(3))
> sage: E([x0,y0
On Wed, 07 Feb 2007 22:50:01 -0700, Luis Finotti <[EMAIL PROTECTED]> wrote:
> I wanted to make a little script that given an elliptic curve and two
> points, it would plot the addition with the corresponding lines,
> labels, etc. to use in a talk for undergraduates.
>
> I wanted to only specify th
Hi,
I wanted to make a little script that given an elliptic curve and two
points, it would plot the addition with the corresponding lines,
labels, etc. to use in a talk for undergraduates.
I wanted to only specify the x-coordinates and choices for the
corresponding y's (the larger value, or the
On Wed, 07 Feb 2007 16:38:46 -0700, Werner Boeglin:
> Hello William,
>
> thank you for the note.
>
> I have another almost embarrassing question: for example I define a 2x2
> matrix using maxima:
>
> C=maxima("matrix([x^2*y,y^2*x],[cos(x)+y,x*cos(y)])")
>
> and calculate the partial derivative:
>
Instead of a proxy would port forwarding work?
On 2/7/07, alex clemesha <[EMAIL PROTECTED]> wrote:
>
> > If you can establish an alias for your server such as
> >
> > notebook.sage.math.washington.edu
> >
> I vote for this, if it's easy to set up,
> it looks really nice/professional and it woul
> > - - multivariate polynomials:
> > given an ideal I = (f_1,...,f_r) and some g in I, find s_1,...,s_r such
> > that g = s_1 f_1 + ... + s_r f_r (this doesn't seem to be available
> > even for Groebner basis)
>
> You're right that this doesn't seem to be available, which is a strange
> over
> If you can establish an alias for your server such as
>
> notebook.sage.math.washington.edu
>
I vote for this, if it's easy to set up,
it looks really nice/professional and it would be
good for there to exist a standard url that always points
to an online SAGE notebook.
Alex
> which simply
On Wed, 07 Feb 2007 08:57:09 -0700, Kiran S. Kedlaya <[EMAIL PROTECTED]> wrote:
> There's a question below about availability of some features in SAGE,
> which we may need for my AWS project.
Thanks. There's definitely going to be some basic things that are not in
any free software that you'll h
Thanks.
On 2/7/07, Martin Albrecht <[EMAIL PROTECTED]> wrote:
>
> On Wednesday 07 February 2007 07:32, Timothy Clemans wrote:
> > Hi I would like to write functions that return equations. I would like
> > to know what the preferred method in SAGE for doing so is.
>
> There are two ways: Implement
On Wednesday 07 February 2007 07:32, Timothy Clemans wrote:
> Hi I would like to write functions that return equations. I would like
> to know what the preferred method in SAGE for doing so is.
There are two ways: Implement an equation class which does what ever you want
and construct it from yo
Thanks. I did not know. I thought the standard was mixed numbers.
On 2/7/07, Martin Albrecht <[EMAIL PROTECTED]> wrote:
>
> On Wednesday 07 February 2007 07:44, Timothy Clemans wrote:
> > Does SAGE support representing 11/3 as 3 2/3, 22/13 as 1 9/13, and
> > 55/4 as 11 1/4? My understanding is th
On Wednesday 07 February 2007 07:44, Timothy Clemans wrote:
> Does SAGE support representing 11/3 as 3 2/3, 22/13 as 1 9/13, and
> 55/4 as 11 1/4? My understanding is that this is the standard in math.
Hi,
what do you mean by "representing"? SAGE can surely read "those
representations":
sage:
On February 6, 2007 10:38 AM Timothy Clemans wrote:
>
> Is there a way to get your DNS to make a subdomain like
> notebook1.sage.math.washington.edu/sage?
>
> On 2/6/07, William Stein wrote:
> > ...
> > Unfortunately, I simply don't know how to run the notebook
> > through port 80 with apache y
Does SAGE support representing 11/3 as 3 2/3, 22/13 as 1 9/13, and
55/4 as 11 1/4? My understanding is that this is the standard in math.
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Hi I would like to write functions that return equations. I would like
to know what the preferred method in SAGE for doing so is.
This is what I have now:
def line_two_points(point1,point2):
r"""
Returns an equation of a line passing through point1 and point2.
EXAMPLES:
sage:
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