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## Re: [Axiom-math] lot of questions about functions.

 From: Francois Maltey Subject: Re: [Axiom-math] lot of questions about functions. Date: Tue, 28 Jun 2005 16:00:06 +0200 User-agent: Gnus/5.1006 (Gnus v5.10.6) XEmacs/21.5 (chestnut, linux)

```Hello Ralf,

> You might learn something from
> http://www.aldor.org/docs/HTML/chap23.html#4

It seems it's the pretty method where we build a domain.

I want to play with generic functions of type expression -> expression.

when I want u100, with u0=1 and u(n+1)=cos u(n)

>> Hello, Is there a the difference between f := t -> 2*t + 1 and
>> f(x)==2*x+1 ?
>> How can I do f o f o f o ...o f = x -> f(f(f(f...f(x)))) ?
>>    (I iterate 10 or 100 times)
>> f := x +-> 3*x g := x +-> 2*x+3  It seems impossible to add 2
>> anonymous functions. I can compute f(x)+g(x) but I can't use (f+g)(x)
>> Can I do (f o g) or can I only compute f(g(x)) = f g x. With mupad
>> (sqrt@@2)(16) and (address@hidden@sin)(PI) compute \$2\$ and \$0\$.

Have a good day !

Francois

```