I found the explanation for how to use the formula here.  Though example is for 
^. 2

http://en.wikipedia.org/wiki/Spigot_algorithm

ln 2 has a simpler formula than pi (one term instead of 4) but essentially the 
same process.




----- Original Message -----
From: Skip Cave <[email protected]>
To: "[email protected]" <[email protected]>
Cc: 
Sent: Tuesday, January 6, 2015 4:20 PM
Subject: Re: [Jprogramming] nth digit of pi

    f=: 3 : '10|<.@o. 10x^y'
​    ​
f 0

3

​    ​
f 1

1

​    ​
f 2

4

​    ​
f 10

5

​    ​
f 100

9

​    ​
f 1000

9

    f 10000

...... still waiting....

Skip Cave
Cave Consulting LLC

On Tue, Jan 6, 2015 at 3:04 PM, 'Pascal Jasmin' via Programming <
[email protected]> wrote:

> to be more specific, a function that gets the 10000th digit of pi?
>
>
> ----- Original Message -----
> From: Roger Hui <[email protected]>
> To: Programming forum <[email protected]>
> Cc:
> Sent: Tuesday, January 6, 2015 3:58 PM
> Subject: Re: [Jprogramming] nth digit of pi
>
> Answering the letter if not the spirit of your question:
>
>    f=: 3 : '10|<.@o. 10x^y'
>    f"0 i.5 20
> 3 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4
> 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7
> 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4
> 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9
> 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7
>
>
>
> On Tue, Jan 6, 2015 at 12:50 PM, 'Pascal Jasmin' via Programming <
> [email protected]> wrote:
>
> > I don't really understand this well:
> >
> >
> >
> http://en.wikipedia.org/wiki/Approximations_of_%CF%80#Digit_extraction_methods
> >
> > is there a J program for finding the y th digit of pi (any base is ok)
> > ----------------------------------------------------------------------
> > 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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