OpenEuphoria

Re: Still is maybe offtopic maybe definitely

• Posted by andy_cranston at LWSYS.FSNET.CO.UK Feb 24, 2001
• 356 views

Got to chip in here :-]

It's a late follow up but I've just finished watching a videoed episode of
"The Wonder Years" (Kevin Arnold etc.).  Ok it's not necessary to know the
series or whatever but it had this way laid back math teacher that got me
thinking.

Back to the thread... (I do ramble 

Ok *decimal* fractional numbers are difficult to represent in binary two's
complement (integer and mantissia?) with anywhere near 100% accuracy.  0.25
is fine but a third is no go.

Now PI *can't* be represented in a finite series of decimal (base 10)
numbers.  I suspect that it *can't* be represented in a finite series of
binary (base 2) numbers either.  My theorem:

    Can PI be presented in a finite series of fixed
    limit based integers?

As an example can PI be represented in base 36 where 0 is 0, 9 is 9, A is
10, b is 11, Y is 35 and Z is 36?

Don't limit your self to small base numbering systems.  Base a million and
one is perfectly fine in math (or as high as you need to go!).

As with all my ideas I'm sure there must be stuff out there that already
covers or has covered it.  Links to it would be most welcome.

Regards,

Andy Cranston.

At 02:07 23/02/01 -0800, you wrote:
>aku at inbox.as wrote:
>> 
>> In Windows calculator (calc.exe), (scientific mode)
>> if we click on "pi" the display is: 3.1415926535897932384626433832795
>> Then click "-", and select Edit/Copy. then select Edit/Paste.
>> 
>> So 3.1415926535897932384626433832795 subtract
>> 3.141592653589793238462643383279 (no "5" in the display).
>> 
>> then click "=".
>> 
>> I get the result is 5.0288419716939931148196659300057e-31
>> 
>> and so on ...
>
>The correct answer up to 10e-62 is:
>5.0288419716939937510582097494459e-31
>in comparison to your result:
>5.0288419716939931148196659300057e-31
>
>See the difference?! So far to accuracy.
>
>Have a nice day, Rolf 
>
>PS: 
>
>If you want to find it out yourself, here is PI up to about 1000 decimal
>digits. You can never represent the true value of PI by decimal
>numbers!  
>
>Here are the first 1000 digits of PI in decimal representation (but what
>for?): 
>         
5903595386938
>
>
>
>