The geometry package only handles 2D points. You may need to create a
new point class specifically to represent a point from an algebraic
affine space.

Aaron Meurer

On Fri, Oct 7, 2016 at 12:44 PM, Ferran Pujol Camins
<ferranpujolcam...@gmail.com> wrote:
> Hello, we are indeed working on a prototype for the projection and extension
> phase. We are going to reach you for feedback ASAP.
>
> During the extension phase, we generate a set of (n+1)-dimensional cell
> sample points by appending a new coordinate to a n-dimensional sample point
> from the previous iteration. The coordinate we append is the root of a
> certain polynomial. What's the best way to model this points?
>
> Point class from geometry package? (Does it handle numbers as 1d points?)
> Can we create Points with coordinates being:
>
> AlgebraicNumber
> RootOf
>
> Which one is more adequate?
>
>
> Best regards, Ferran
>
>
> El dimarts, 20 setembre de 2016 19:55:54 UTC+2, Aaron Meurer va escriure:
>>
>> I would reiterate that it's good to start to submit code (start a pull
>> request) early, even before you have a working prototype, so that you can
>> get feedback as early as possible. This is good for any project, but doubly
>> so for a difficult project. Not getting feedback as early as possible would
>> be setting yourself up for failure.
>>
>> Aaron Meurer
>>
>> On Tue, Sep 20, 2016 at 3:25 AM, 'Reinhard Oldenburg' via sympy
>> <sy...@googlegroups.com> wrote:
>>>
>>> Hi all,
>>> having quantifier elimination in sympy would be great. However, some
>>> thoughts:
>>> - This is a non-trivial piece of software, I hope your advisor knows
>>> that.
>>> - Performance is a key issue. QEPCAD is written in C and still much to
>>> slow for many easy problems. Why don't you look at RegularChains as
>>> implemented in Maple? There is a quantifier elimination on top of this (C.
>>> Chen and M. Moreno Maza. Quantifier Elimination by Cylindrical Algebraic
>>> Decomposition Based on Regular Chains. In Proc. ISSAC 2014, pages 91–98,
>>> 2014.)
>>> So, good luck - I'd be happy if something useful comes out of this
>>> because QE is from my point of view (math education) one of the most
>>> interesting features a computer algebra system can have but up to now,
>>> Mathematica is the only system that can be used - and it is far too
>>> expensive for wide use in education.
>>> Reinhard
>>>
>>>
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>>
>>
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