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
participants (3)
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Eric Hughes -
Kent Hastings -
Perry E. Metzger