A bit of a windy road:
starting, as usual, with the personal frame of reference
PyGeo's current implementation supports the exploration of the geometry
of complex numbers, and therefore speaks Mobius transformations.
http://pygeo.sourceforge.net
now has a pretty picture of a simple recurs
Arthur wrote:
> I have thought of "fixed point" (in programming) as connected
> to/opposed to "floating point", not as something directly connected to
> the concept of "f(x)=x"
>
> The statement above seems to be telling me otherwise.
> Guess I am fishing for some exposition on the statement t
Scott David Daniels wrote:
>Well, in fact both meanings of "fixed point" are used, seldom by the
>same person. I expect Knuth is in that small group that uses both
>meanings regularly (since his basic training was all mathematics).
>Look to the "functional programming" people for examination of t
Arthur wrote:
> re: "The study of fixed points has been at the foundation of algorithms"
>
> I guess what I am asking further is whether the statement is simply
> referencing the development of algorithms for solving the mathematical
> question of the fixed points of a function, in the context
Arthur wrote:
>Guess I am fishing for some exposition on the statement that the
>
>"The study of fixed points has been at the foundation of algorithms"
>
>
Very deep in the foundations of algorithms are the foundations of
computer science semantics:
http://en.wikipedia.org/wiki/Denotational_sem
Grégoire Dooms wrote:
> Very deep in the foundations of algorithms are the foundations of
> computer science semantics:
> http://en.wikipedia.org/wiki/Denotational_semantics
>
> An other area where I've been exposed ot fixed points is concurrent
> constraint programming where constraint propagat
Scott David Daniels wrote:
>I suspect the other way into this is Category Theory, an area I am
>afraid I under-appreciate (though some say it is just because I don't
>"get it").
>
Read through this explanation of Category Theory.
http://plato.stanford.edu/entries/category-theory/
While not being
