Re: ANSWER THE FCKING QUESTION GHOST

From: John Savard (jsavard_at_excxn.aNOSPAMb.cdn.invalid)
Date: 01/10/05 

Date: Mon, 10 Jan 2005 19:14:06 GMT

On Tue, 11 Jan 2005 02:23:10 +1000, "|-|erc" <h@r.c> wrote, in part:

>How many digits of pi appear in order in
>> > <3>
>> > <31>
>> > <314>
>> > <3141>
>> > <31415>
>..
>
>Remember pi is here <314159265.......................................>
>
>not in the list above! How many digits OF PI appear IN ORDER?
>
>Funny thing that NONE OF YOU CAN ANSWER ANY SIMPLE QUESTIONS

Perhaps you missed my answer:

Both lists contain all the digits of pi.

This, however, is true *despite* the fact that, no matter how far you go
in list 2, you will never find the first element of list 1 on it.

Every element of list 2 is finite in length.

The one element of list 1 is infinite in length.

However, every digit *in* that element has a finite position within that
element - and a corresponding element of list 2 which is the first to
include it.

Hence:

        3 1 4 1 5 9...
        | | | | | |
3 ------ | | | | |
31-------- | | | |
314--------- | | |
3141---------- | |
31415----------- |
314159------------
.
.
.

No digit in the infinite decimal expansion of pi fails to have a finite
position within pi, and hence no such digit fails to correspond to a
truncated version of pi.

John Savard
http://home.ecn.ab.ca/~jsavard/index.html

John Savard
http://home.ecn.ab.ca/~jsavard/index.html

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