This essay Fibonacci Sequence by Roger gives examples of double recursion and 
single recursion

http://www.jsoftware.com/docs/help701/dictionary/dmcapdot.htm

Kip Murray

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On Feb 11, 2013, at 7:40 AM, Don Guinn <[email protected]> wrote:

> Also, the x and y in explicit definitions are local names so are unique
> from x and y of a calling explicit definition. That includes recursion.
> 
> On Mon, Feb 11, 2013 at 6:31 AM, km <[email protected]> wrote:
> 
>> Perhaps this Vocabulary entry for Memo M. will help
>> 
>> http://www.jsoftware.com/docs/help701/dictionary/dmcapdot.htm
>> 
>> There is also Self Reference $:
>> 
>> http://www.jsoftware.com/docs/help701/dictionary/dmcapdot.htm
>> 
>> Kip Murray
>> 
>> Sent from my iPad
>> 
>> 
>> On Feb 11, 2013, at 7:04 AM, Alex Giannakopoulos <[email protected]>
>> wrote:
>> 
>>> Are there any resources on recursive programming in J?  Couldn't find
>> much
>>> by searching.
>>> I would particularly like to know about scoping, and also so-called free
>>> variables.
>>> 
>>> It seems to me that the enforced naming of variables as 'x' and 'y' might
>>> cause problems in nested functions, necessitating awkward renaming and
>>> copying.
>>> 
>>> I will give a little example here (my apologies to those unfamiliar with
>>> Scheme.)
>>> I am trying to write a routine that will return ALL the factors of a
>>> number, not just the prime ones.
>>> I do this by using an auxiliary routine that takes the number to factor
>> and
>>> a list of numbers still to combine.
>>> 
>>> ;; function (unique numlist) corresponds to J's ~.
>>> ;; function (remel alist elem) corresponds to J's   [ }.~ [: >: i.
>>> ;; function (primefactors n) corresponds to J's   q:
>>> 
>>> (define (allfactors n) (af n (primefators n))
>>> 
>>> (define (af num divisors)
>>> (if (null? divisors) (list num)
>>>     (let ((uniquefactors (unique divisors)))
>>>          (flatten
>>>          (cons num
>>>                (map (lambda(x) (af (/ num x) (remel divisors x)))
>>>                     uniquefactors))))))
>>> 
>>> Now I tried to express this in J, but can't even get to first base,
>> because
>>> of the scoping problems I mentioned.
>>> I realise that recursion is not the primary mode for programming J, and a
>>> good solution may instead use something like running totals (\), but for
>>> the time being I am stuck.
>>> Any suggestions gratefully received.
>>> ----------------------------------------------------------------------
>>> For information about J forums see http://www.jsoftware.com/forums.htm
>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
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For information about J forums see http://www.jsoftware.com/forums.htm

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