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Is Pi's Digits Orderly?
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Is Pi's Digits Orderly?
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talanum1
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Is Pi's Digits Orderly?
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19/11/2021 10:09:13 »
We have that π!! = 7380,555557603. Doesn't this mean π's digits are to some extent orderly?
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Re: Is Pi's Digits Orderly?
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19/11/2021 10:25:08 »
Not really.
For a start, as far as I can tell, you are wrong.
"factorial" doesn't mean anything for anything except integers. so pi! is ill defined.
But if it was 7380,555557603. that just means that if you alter a random string of digits in enough ways, you will see coincidences.
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Re: Is Pi's Digits Orderly?
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19/11/2021 13:20:11 »
n! is defined for a real number by the Gamma Function, an integral of a function.
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Re: Is Pi's Digits Orderly?
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19/11/2021 13:41:40 »
So Gamma (pi) is defined, but pi! isn't.
(did you realise that they had different names because they are different things?).
The string of 5s is still a meaningless coincidence.
You can have fun looking for sequences of digits in pi here
https://www.angio.net/pi/
It tells me that the sequence "55555" happens 1908 times in the first 200M digits of Pi.
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