On 6/14/14, 6:22 PM, William Stein wrote:
On Sat, Jun 14, 2014 at 6:12 PM, wrote:
Dima writes:
"there is nothing wrong with using a bit of pure mathematics for
applied problems; e.g. cryptographers do this all the time... "
Agreed. My formal education was from a time when fields, groups, and
On 6/14/14, 7:04 PM, leif wrote:
jeanbigbo...@gmail.com wrote:
Excuse the top-posting, the google groups UI is not as convenient for
excerpting as emacs and a good Usenet server...
A couple of Sage groups (including this) are available on/through
gmane.org as well (gmane.comp.mathematics.sage.
jeanbigbo...@gmail.com wrote:
Excuse the top-posting, the google groups UI is not as convenient for
excerpting as emacs and a good Usenet server...
A couple of Sage groups (including this) are available on/through
gmane.org as well (gmane.comp.mathematics.sage.*).
-leif
--
() The ASCII Rib
On Sat, Jun 14, 2014 at 6:12 PM, wrote:
> Dima writes:
> "there is nothing wrong with using a bit of pure mathematics for
> applied problems; e.g. cryptographers do this all the time... "
>
> Agreed. My formal education was from a time when fields, groups, and such
> were not common undergraduat
On Saturday, June 14, 2014 4:55:37 PM UTC-7, William wrote:
>
> On Sat, Jun 14, 2014 at 3:53 PM, >
> wrote:
> >>
> >>
> >
> > This is very helpful, thanks.
> >
> > In Sympy, I did the following:
> > var('A B C D u v', real=True)
> > qi = 1/(u - I*v)
> > qf = (A + B/qi)/(C + D/qi)
> > e
UPDATE:
I switched to 6.1.1 and the problem went away.
On Friday, June 13, 2014 5:29:59 PM UTC-5, Keir Lockridge wrote:
>
> Hi,
>
> I have Sage v6.2 installed 'in the cloud' (Amazon). The OS is RHEL. I have
> used Sage for a couple of years without incident, but I am suddenly having
> a problem
On Sat, Jun 14, 2014 at 3:53 PM, wrote:
>>
>>
>
> This is very helpful, thanks.
>
> In Sympy, I did the following:
> var('A B C D u v', real=True)
> qi = 1/(u - I*v)
> qf = (A + B/qi)/(C + D/qi)
> expand(1/qf,
> complex=True)A2+2ABu+B2u2+B2v2+ADuA2+2ABu+B2u2+B2v2-iADvA2+2ABu+B2u2+B2v2+BCuA2+2ABu+
SAGE version:
'Sage Version 6.1.1, Release Date: 2014-02-04' in MacOS X.
El domingo, 15 de junio de 2014 01:17:06 UTC+2, Alberto Garcia escribió:
>
> Hello,
>
>
> I'm trying to calculate a pairing with the SAGE weil_pairing() function
> while using a distortion map, but the weil_pairing() func
Hello,
I'm trying to calculate a pairing with the SAGE weil_pairing() function
while using a distortion map, but the weil_pairing() function never returns
and it seems like is eating all the computer memory.
Here is the code I'm using:
sage: p = 293779600266612700060489507
sage: F = GF(p)
s
On Saturday, June 14, 2014 2:04:18 PM UTC-7, Michael Orlitzky wrote:
>
> On 06/14/2014 12:43 AM, jeanbi...@gmail.com wrote:
> > I am coming up to speed on Python, Sympy, and Sage by doing some simple
> > problems on all three. Sympy has an option for its expand function,
> > complex=True, th
On 06/14/2014 12:43 AM, jeanbigbo...@gmail.com wrote:
> I am coming up to speed on Python, Sympy, and Sage by doing some simple
> problems on all three. Sympy has an option for its expand function,
> complex=True, that has made some of my expressions easier to read/use.
> I'm working with quotient
If you don't need provably correct answers then just work over CDF or
ComplexField with a precision that you'd like.
If you want to prove something you can use CIF (floating-point complex
interval arithmetic) or QQbar (exact numbers).
The difference between pure mathematics and applications is
On 2014-06-14, jeanbigbo...@gmail.com wrote:
>
>
> On Saturday, June 14, 2014 6:28:02 AM UTC-7, Volker Braun wrote:
>>
>> On Saturday, June 14, 2014 5:43:39 AM UTC+1, jeanbi...@gmail.com wrote:
>>>
>>> I'm working with quotients of complex numbers.
>>>
>>
>> The fraction field of the complex numbe
Thank you.
Chris
On Sat, Jun 14, 2014 at 4:47 AM, P Purkayastha wrote:
> sage: bool(x.conjugate() == x)
> False
> sage: assume(x, 'real')
> sage: bool(x.conjugate() == x)
> True
>
>
>
>
> On Saturday, June 14, 2014 6:12:06 AM UTC+8, Chris Maness wrote:
>>
>> Is there a way that I can define my v
On Saturday, June 14, 2014 6:28:02 AM UTC-7, Volker Braun wrote:
>
> On Saturday, June 14, 2014 5:43:39 AM UTC+1, jeanbi...@gmail.com wrote:
>>
>> I'm working with quotients of complex numbers.
>>
>
> The fraction field of the complex numbers are the complex numbers.
>
> For any serious computati
I downloaded and complied the sources tarball for 6.0 and had been using
sage -upgrade since then.
I found these files in the sage directory tree (where the 'sage' executable
is), and both are non-empty:
./local/lib/python2.7/site-packages/sagenb-0.10.7.2-py2.7.egg/sagenb/data/sage/js/mathjax_s
Is your sagenb installation complete? This file is present and
distributed with the notebook:
https://github.com/sagemath/sagenb/blob/master/sagenb/data/sage/js/mathjax_sage.js
On Sat, Jun 14, 2014 at 10:14 PM, Keir Lockridge wrote:
> I was finally quick enough to highlight and copy the MathJax e
I was finally quick enough to highlight and copy the MathJax error:
File failed to load:
https://sage.x.org/javascript/mathjax/config/../../dynamic/mathjax_sage.js
But, I am having trouble actually finding this file. When I load the URL
in my browser, I get a blank page ('view source' lea
On Saturday, June 14, 2014 5:43:39 AM UTC+1, jeanbi...@gmail.com wrote:
>
> I'm working with quotients of complex numbers.
>
The fraction field of the complex numbers are the complex numbers.
For any serious computation you should probably figure out the smallest
field you are really working in;
sage: bool(x.conjugate() == x)
False
sage: assume(x, 'real')
sage: bool(x.conjugate() == x)
True
On Saturday, June 14, 2014 6:12:06 AM UTC+8, Chris Maness wrote:
>
> Is there a way that I can define my variables to be real, so that when I
> take square the modulus, I don't get variables with b
Latex in the notebook shouldn't be broken. It was completely broken for 6.1
but was fixed in 6.1.1. There has been no (released) upgrades of the
notebook since then. I just checked and inline equations work fine here in
6.1.1 and 6.3.beta3. Sorry, I don't have 6.2 to test.
On Saturday, June 14
Avoid using symbolic expressions together with real algebra. This works fine:
sage: Fq. = GF(3^10)
sage: (2*a^9 + 2*a^8 + a^4 +1)/(a^5+2*a+2)
a^9 + a^8 + a^7 + a^5 + 2*a^4 + a^3 + 2*a^2 + 2*a
The a here was defined in the first line to be the generator of your field:
sage: type(a)
sage: a.par
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