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eru 1485 days ago link

the PI really contains all information on the **Nike Presto For Women**

**To answer my questions (according to your links): Yes, normal numbers only have to satisfy conditions on finite strings. The indices where one Nike Presto Lava**

** finds the desired digits become the indices of the claimed subsequence of digits of .
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**What do you mean by subsequence?Don't normal numbers only have to contain every finite string often enough, not every infinite Nike Air Presto Triple Black**

* world
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*probability 1) that the digits of e and the square root of 2 are subsequences of the digits of pi.
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*eru 1486 days ago link
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*But pi does contain the finite instruction sequences for programs that generate the digits of those numbers.
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*Indeed. And for the claim to be correct, even a much weaker condition than normality would suffice. Nike Air Presto Shoes For Sale a number like 0.123456789012345678901234567890[repeat] is definitely not normal, but contains all decimal subsequences.
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string?

wcoenen 1486 days ago link

Information theory is a tricky beast. But really, "anything + enough information to use 'anything' as raw material to produce the desired output" works equally well, too; pi isn't actually that special either. "how can anything with an infinite number of normalized digits consist of only a handful of bits?" asks our feeble, mathematics impaired human minds.(By the way, this is extended agreement with the post I'm replying to, not any implicit disagreement.) .

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