PI Compression

PI Compression
It may have been discussed here months ago, but my favorite bogus
compression scheme is "pi compression". Any number like pi or 
SQRT(2) can be represented as an infinite sequence of non-repeating
bits (there are repetitive patterns, but eventually the sequence
breaks out). A finite bit string can be represented simply as the
starting location and length in pi.

Since all possible finite bit strings are, by definition, contained
in the unending cavalcade of bits in pi, all literary works, radio
programs, TV, 3D holos, feelies, etc for all sentient species from 
the remotest past to the distant future, in every possible alternate
universe is in little old pi.

PI has been in the public domain from antiquity, therefore all parts
of pi are public domain, just like every chapter, paragraph, sentence,
word and bit are parts of a book. 

Who would dare argue against these reasonable assertions?

Kent - kent_hastings@qmail2.aero.org.

>Since all possible finite bit strings are, by definition, contained
>in the unending cavalcade of bits in pi, 

Definition?  I have seen not this asserted even by theorem.  Not
surprising, since the statement is patently false.  There are
2^{\aleph_0} finite bit strings, and only \aleph_0 of those are
subsequences of pi.

For those of you without a math background, this means "They all just
don't fit."

Eric

"Kent Hastings" says:
>                       PI Compression
> It may have been discussed here months ago, but my favorite bogus
> compression scheme is "pi compression". Any number like pi or 
> SQRT(2) can be represented as an infinite sequence of non-repeating
> bits (there are repetitive patterns, but eventually the sequence
> breaks out). A finite bit string can be represented simply as the
> starting location and length in pi.
> 
> Since all possible finite bit strings are, by definition, contained
> in the unending cavalcade of bits in pi, all literary works, radio
> programs, TV, 3D holos, feelies, etc for all sentient species from 
> the remotest past to the distant future, in every possible alternate
> universe is in little old pi.

Bull. You cannot prove that all strings are contained as substrings of
PI. The mere fact that a bit string is infinite and non-repeating does
not mean that it is wholely random. For instance, I can very readily
construct infinite sequences that do not contain arbitrary bit
strings.

See, as an example, this non-repeating bit string

101001000100001000001....

> Who would dare argue against these reasonable assertions?

Me.

Perry