A univariate polynomial ring over a field is a PID, but not if its over a
general ring. E.g. <2,x> in ZZ[x] can't be generated by a single polynomial.
On Saturday, January 26, 2013 10:45:18 PM UTC, Charles Bouillaguet wrote:
>
> If I am not mistaken, any ideal I = of R[x] is spanned by a
> *
On Jan 26, 2013, at 11:31 PM, Florent Hivert wrote:
> Dear all,
>
> In some circumstance polynomial ring quotients returns wrong results: the
> following quotient by a single polynomial works correctly:
>
>sage: R. = PolynomialRing(ZZ)
>sage:
>sage: S. = R.quotient(x^2+x+1)
>
Dear all,
In some circumstance polynomial ring quotients returns wrong results: the
following quotient by a single polynomial works correctly:
sage: R. = PolynomialRing(ZZ)
sage:
sage: S. = R.quotient(x^2+x+1)
sage: xbar^2
-xbar - 1
sage: xbar^2 + x + 1 == 0
Tru
See
https://gist.github.com/4385412
and
http://bmander.com/dotmap/index.html
Not Sage, but Python... but still cool.
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Thanks Jason. I'll go through those discussions. I thought SAGE has no
support for QEPCAD. Thanks for the pointer!
On Sat, Jan 26, 2013 at 2:45 AM, Jason Grout wrote:
> On 1/25/13 2:16 PM, Hari Krishna wrote:
>
>> Greetings folks,
>>
>> I'm new to research in math, having taken up the path of re
Thanks for the pointers, Dima. I'll look into it. Also, I haven't contacted
Chris Brown regarding this.
On Sat, Jan 26, 2013 at 2:45 AM, Jason Grout wrote:
> On 1/25/13 2:16 PM, Hari Krishna wrote:
>
>> Greetings folks,
>>
>> I'm new to research in math, having taken up the path of research in
>
But we currently use ATLAS-3.8.4 for which I'm not aware of any precision
bug. ATLAS-3.10 also fixed the iml bug. I don't know of any numerical
errors larger than the expected floating point precision.
On Saturday, January 26, 2013 2:09:48 AM UTC, François wrote:
>
> Well my personal take on
On Fri, Jan 25, 2013 at 8:17 PM, leif wrote:
> Does this include building R with '-O3'? ;-)
>
> [For me, R keeps segfaulting while byte-compiling when built with FSF GCC
> 4.6.y (IIRC, not that sure right now) and (definitely) 4.7.x, on x86/x86_64
> at least. '-O2' in contrast works, as does ad
