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 in a
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
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 the
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 of
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 propagators
