In addition to the solutions already posted, I just want
to say that for efficient computation it'd be better to
work with vector arguments and functions having rank
greater than 0.  (You can use the rank-0 functions to
check that the vector functions are correct.)

The following are solutions to similar looking problems:
http://www.jsoftware.com/jwiki/Essays/Collatz%20Conjecture
http://www.jsoftware.com/jwiki/Essays/Mertens%20Function



----- Original Message -----
From: mikel paternain <[email protected]>
Date: Sunday, August 28, 2011 3:41
Subject: [Jprogramming] a new question
To: [email protected]

> 
> How do you write in J a "tent" function: 
>  
> g(x)=   
> x/2                if 0<=x<=1/2, 
>           (1-
> x)/2            if 1/2 < x < 1
>  
> and, more important, How do you write in J a Takagi function 
> with the "tent" function:
>  
> h(x)= Sum [r=0 to infinite,  g(2^r x)/2^r]

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