On Apr 10, 8:27 pm, Robert Bradshaw
wrote:
> This particular point however seems to have order 3 on both E(GF(67))
> and E(GF(89)).
E=EllipticCurve([1,R(1)])
seems to be working,
7*E([0,1])
Traceback (click to the left of this block for traceback)
...
ZeroDivisionError: Inverse of 5092 does
On Apr 10, 10:37 am, Eckhard Kosin
wrote:
>
> sage: sin.diff()
> ---
> AttributeError ...
There is an interesting way to fix that,
sin(x)=sin(x)
sin.diff()
x |--> cos(x)
Alec
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On Apr 10, 2010, at 5:08 PM, Kenneth A. Ribet wrote:
Hi,
I'd like to present Lenstra's elliptic curve factoring method to a
class. This means that I'd like to define an elliptic curve over
Integers(N), where N is composite, and then add points on that curve
in sage. I may be doing somet
> The key trick is:
>
> sage: R = Integers(2010)
> sage: # Make Sage think that R is a field
I'm stunned. Thanks!
Ken
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On Sat, Apr 10, 2010 at 5:08 PM, Kenneth A. Ribet wrote:
> Hi,
>
> I'd like to present Lenstra's elliptic curve factoring method to a class.
> This means that I'd like to define an elliptic curve over Integers(N), where
> N is composite, and then add points on that curve in sage. I may be doin
Hi,
I'd like to present Lenstra's elliptic curve factoring method to a class. This
means that I'd like to define an elliptic curve over Integers(N), where N is
composite, and then add points on that curve in sage. I may be doing something
stupid, but I'm getting a NotImplementedError with the
On Apr 9, 11:32 pm, Adam Getchell wrote:
> We've got some rather neat causal dynamical triangulation (2d quantum
> gravity) code running in Lisp. The lisp environment lacking certain
> facilities, I thought it would be interesting to find a way to run it within
> Sage and take advantage of all th
Another way,
sage: set=['adam', 'eva', 'otto', 'emil']
sage: a=Arrangements(set,4).list()
sage: for i in zip(a[0:-1:2],a[1:-1:2]): i
:
(['adam', 'eva', 'otto', 'emil'], ['adam', 'eva', 'emil', 'otto'])
(['adam', 'otto', 'eva', 'emil'], ['adam', 'otto', 'emil', 'eva'])
(['adam', 'emil', 'eva',
On Apr 10, 9:06 am, Stochastix wrote:
> I downloaded and installed sage 4.3.5 on my MacBook Pro. Everything
> went like a charm. I'm interested in using the simplicial homology GAP
> packages available at
>
> http://www.cis.udel.edu/~dumas/Homology/
>
> It doesn't seem to be in the optional GAP pa
For example,
sage: set=['adam', 'eva', 'otto', 'emil']
sage: a=Arrangements(set,4)
sage: for x in range(0,a.cardinality(),2): print a[x],a[x+1]
:
['adam', 'eva', 'otto', 'emil'] ['adam', 'eva', 'emil', 'otto']
['adam', 'otto', 'eva', 'emil'] ['adam', 'otto', 'emil', 'eva']
['adam', 'emil', 'ev
Mike thank you for your quick answer.
The answer of my system is:
Mathieu:~ mathieuroux$ sage -maxima --userdir="/Users/
mathieuroux/.sage/maxima" -p "/Applications/sage-4.3.5/local/bin/sage-
maxima.lisp"
/Applications/sage-4.3.5/local/bin/sage-sage: line 325: maxima:
command not found
see you
Mat
On Sat, Apr 10, 2010 at 11:09 AM, Mathieu Roux wrote:
> RuntimeError: Unable to start maxima because the command 'maxima-
> noreadline --userdir="/Users/mathieuroux/.sage/maxima" -p "/
> Applications/sage-4.3.5/local/bin/sage-maxima.lisp"' failed.
What do you get if you try running the following
Hello everybody,
I have just installed Sage Version 4.3.5, Release Date: 2010-03-28 on
my laptop MacBook with MacOS X 10.5.8, by compiling the source code.
There was no problem during the compilation.
But now i can't use maxima. For exemple, if i enter
f = maxima.eval('ij_entry[i,j] := i/j')
th
On Sat, Apr 10, 2010 at 3:37 AM, bb wrote:
> sage: n(sqrt(2.), digits=40)
> 1.414213562373095145474621858738828450441
> sage: n(sqrt(2), digits=40)
> 1.414213562373095048801688724209698078570
> sage:
If you wanted this to be more like Maxima, the appropriate thing to do
would some something like:
On 04/09/2010 10:05:08 PM, Alec Mihailovs wrote:
For M, you could do something like
M=matrix([[1,1+i],[1-i,-1]])/sqrt(3)
html.table(maxima(M).eigenvectors().sage())
or
html.table([[r,(M-matrix(2,2,r)).right_kernel().basis_matrix()] for r
in M.eigenvalues()])
And numerically the eigenvectors c
On Apr 10, 10:37 am, Eckhard Kosin
wrote:
> I tried to understand my mistake and I realised that I have difficulties
> to distinguish between symbolic expressions and functions and when to
> use either.
The general rule is that it is better to use expressions if possible
instead of functions. Th
Hi Alec,
Am Freitag, den 09.04.2010, 16:52 -0700 schrieb Alec Mihailovs:
> For example,
>
> var('t R_u c')
> map(function,('R_b', 'psi', 'm_z'))
> r = R_b(t)*sin(psi(t))
> z = R_b(t)*cos(psi(t))+m_z(t)
> Dr, Dz = r.diff(t), z.diff(t)
> v=vector([Dr,Dz]) * vector([cos(psi(t)),sin(psi(t))])
> w=v.s
Hi!
On 10 Apr., 15:06, Stochastix wrote:
> It doesn't seem to be in the optional GAP packages available for SAGE.
> Can I install it directly in SAGE or should I have a stand-alone
> installation of GAP ?
Sage *has* a stand-alone installation of GAP. If you run "sage -gap"
then this installation
On Sat, Apr 10, 2010 at 9:06 AM, Stochastix
wrote:
> I downloaded and installed sage 4.3.5 on my MacBook Pro. Everything
> went like a charm. I'm interested in using the simplicial homology GAP
> packages available at
>
> http://www.cis.udel.edu/~dumas/Homology/
>
> It doesn't seem to be in the op
I downloaded and installed sage 4.3.5 on my MacBook Pro. Everything
went like a charm. I'm interested in using the simplicial homology GAP
packages available at
http://www.cis.udel.edu/~dumas/Homology/
It doesn't seem to be in the optional GAP packages available for SAGE.
Can I install it directl
In deviation from the example given in the Sage Reference v4.3.5 »
Combinatorics »
http://www.sagemath.org/doc/reference/sage/combinat/permutation.html
I get the elements in one line instead of one below the other.
sage: set=['adam', 'eva', 'otto', 'emil']
sage: Arrangements(set,4).list()
[['ada
Mike Hansen schrieb:
On Sat, Apr 10, 2010 at 1:02 AM, bb wrote:
Is there any explanation?
Could you be more specific in your question? Everything there looks
normal to me. n(pi, 20) means to compute using 20 bits of precision.
--Mike
Ok, I see - the argument defines the number
On Fri, 9 Apr 2010 22:51:30 -0700 (PDT)
Alec Mihailovs wrote:
>
> On Apr 10, 1:32 am, Adam Getchell wrote:
> > Hi all,
> >
> > I realize this maybe a bit of an insane question, but I'm looking
> > for a way to use ecl within sage besides:
> >
> > ./sage -ecl
>
> For example,
>
> lisp("(def x
On Sat, 10 Apr 2010 01:08:12 -0700, Mike Hansen wrote:
> On Sat, Apr 10, 2010 at 1:02 AM, bb wrote:
> > Is there any explanation?
>
> Could you be more specific in your question? Everything there looks
> normal to me. n(pi, 20) means to compute using 20 bits of precision.
... which you can fi
On Sat, Apr 10, 2010 at 1:02 AM, bb wrote:
> Is there any explanation?
Could you be more specific in your question? Everything there looks
normal to me. n(pi, 20) means to compute using 20 bits of precision.
--Mike
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Just experimenting with Sage syntax I found something strange:
sage: n(pi)
3.14159265358979
sage: n(pi,20)
3.1416
sage: n(pi,29)
3.1415927
sage: n(pi,59)
3.1415926535897932
sage: n(pi,0x59)
3.1415926535897932384626434
sage: pi.n(digits=17)
3.1415926535897932
sage:
Is there any explanation?
Rega
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