You'll need an understanding of basic field theory to understand those
algorithms (maybe group theory too if they are using Galois theory).

Aaron Meurer

On Wed, Feb 5, 2014 at 4:09 AM, Harsh Gupta <[email protected]> wrote:
> Sorry for being passive for some days. I was busy with assignments and
> some other stuff.
>
>
>> See the work by R. Zippel and S. Landau.
>
> Are you talking these articles:
>
> http://www.sciencedirect.com/science/article/pii/074771719290004N ( A
> note on "Zippel Denesting" by Susan Landau )
> http://www.computer.org/csdl/proceedings/focs/1989/1982/00/063496.pdf
> (Simplification of Nested Radicals by Susan Landau)
> http://www.sciencedirect.com/science/article/pii/S0747717185800146 (
> Simplification of expressions involving radicals by Richard Zippel)
>
> I also found this article:
> http://pdf.aminer.org/001/059/825/simplification_of_nested_radicals.pdf
> (How to denest Ramanujan's Nested Radicals by Johannes Blomer)
>
> I think having general denesting techniques will be very useful when
> while working with higher order polynomials, we should try to
> implement them in sympy. I read the first article (A note on Zipple
> Denesting) and skimmed over the rest of them. It appears that all of
> them need at least some knowledge of group theory in general. I have
> no previous experience in working with group theory. So I want to know
> what is the status of group theory and field theory in Sympy? Also I
> wanted to know if it would be realistic if I read Group theory before
> the summer and add it to the GSOC idea.
>
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