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Re: Re: Re: Advanced Sorting - GRT - Guttman Rosler Transform

by demerphq (Chancellor)
on Feb 19, 2002 at 09:46 UTC ( #146358=note: print w/replies, xml ) Need Help??

in reply to Re: Re: Advanced Sorting - GRT - Guttman Rosler Transform
in thread Advanced Sorting - GRT - Guttman Rosler Transform

And I agree with you, but I'm not willing to fight for that belief being universal (that the GRT is really just a specialization of the ST).

Actually, if I've presented the GRT as anything other than a refinement of the Schwartzian Transform then I've communicated myself poorly.

The whole reason I started by discussing the Schwartzian Transform in my original post was to explain GRT in the context of the Schwartzian Transform.

Personally I would call anything along these lines a Schwartzian Transform, but when it was warranted would instead use the more specific term GRT, but this is not in the slightest meant to imply that a GRT isn't a Schwartzian Transform. I suppose its like the square/rectangle idea. All GRTs are Schwartzian Transforms but not all Schwartzian Transforms are GRTs.

I would say that in the texts I've read (and your own snippet here in the monastery) Schwartzian Transforms are characterized by using an inorder function that accesses part of a wrapper containing the precomputed keys, whereas GRTs are characterized by not having an explicit inorder function at all.

I don't believe that the GRT can be sufficiently generalized in any practical sense to cover all problems, hence knowing both manifest map-sort-map strategies (and inventing others) is probably the best meta-strategy.

I couldnt agree more. (And stated something like this at the end of my post, although not in so many words)

Oh and thank you for introducing such an interesting technique to me and the community as a whole. I use it all the time.

PS - It would be really cool if you retitled your snippet Schwartzian Transform to "Schwartzian Transform (ST)" so that we could link to it via [ST] ;-) Or even write a new node explaining it a bit, you know straight from the horses mouth so to speak. But perhaps you dont have enough time?

Yves / DeMerphq
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[Discipulus]: the winner is..
[Discipulus]: Mr haukex from Germany! thanks a lot to the other parteciapant our dear Mr afoken.. ;=)
[Discipulus]: no, seriously thanks both, i missed 'scientist' and 'floating point' and the resarche was imposible..
Discipulus go to his cell to bookmark this
[haukex]: Well to be honest I just did a super search for "every should know floating" ;-)
[Discipulus]: floating was the keyword and.. to use supersearch is plus sign not a (plus) sin

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