On Sat, Jun 11, 2011 at 12:19 PM, Simon King <simon.k...@uni-jena.de> wrote:
> Hi!,
>
> At http://www.sagenb.org/home/pub/2813, I have published a worksheet
> that aims at explaining how one can implement a new parent and take
> advantage of both the category framework and the coercion model
> (including construction functors).
>
> My approach was to implement fraction fields step by step, so that it
> becomes clear what methods need to be provided for what purpose. I
> also tried to explain the theoretical background.
>
> The worksheet covers:
> * Choice of a base class for parents and elements
> * How to implement basic arithmetics (_add_ versus __add__, etc)
> * Category framework - why and how?
> * Unique parents
> * Basic coercion (trying to explain what structural properties
> distinguish a coercion from any odd conversion, and how to implement
> it)
> * Advanced coercion (construction functors and pushout)
> * Test suites.
>
> In order to be fully fuctional, the work sheet requires #8800, #9944
> and #9138 to be merged. While #8800 is merged in sage-4.7 and #9944 is
> merged in sage-4.7.1, #9138 still needs review (hint-hint).
>
> However, I tried to work around the missing patches, so that the
> worksheet is usable on www.sagenb.org (with sage-4.6).

I have updated sagenb.org to sage-4.7.  I intend to keep sagenb more
up to date these days...

I may have broken something though, since
http://www.sagenb.org/home/pub/2813 is empty.

However, http://www.sagenb.org/home/pub/2814/ works.

>
> Of course, I'd appreciate feedback. I'd also appreciate if the
> worksheet could be included into the documentation as a thematic
> tutorial.
>
> In another thread, I suggested to proceed with documentation similar
> than with spkgs: I believe that it is better to make preliminary
> versions of tutorials available to the public (explicitly marking them
> as preliminary or draft) than to wait a couple of months until someone
> has provided a full review. In the best case, there is feed-back from
> the public, so that one has a cumulative review.
>
> In particular, I think that the tutorials from the combinat branch
> should be published soon as well. Namely, it seems to me that the
> pedagogical approaches behind these texts and my text are orthogonal.
> Having both available would give the user the opportunity to benefit
> from what fits better to his or her respective learning type.
>
> What do you think?
>
> Best regards,
> Simon
>
> --
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-- 
William Stein
Professor of Mathematics
University of Washington
http://wstein.org

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