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 > mathematical programming where that particular mathematical problem > might happen to present itself- or is there some implication that the > problem of f(x) = x is one that has more general implications in > algorithmics as a distinct area of study. I think the answer is yes (there are such implications), and that those implications show up in the functional programming world (where they like to think of everything as constants and pure functions). The places it shows up (if I understand correctly) have a lot to do with compilation and binding functions into environments where the functions themselves are a part of that environment. But this is simply a suspicion, I can't say that I've delved too deeply into this area. 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").
> .. or am I asking a question that is itself too round-about to have an > answer of the kind of am looking for? ;) The above is as much as I can give you. You may get more from abstract algebra people. --Scott David Daniels [EMAIL PROTECTED] _______________________________________________ Edu-sig mailing list Edu-sig@python.org http://mail.python.org/mailman/listinfo/edu-sig