Talk:Disjunctive sequence
Latest comment: 5 years ago by Zenten in topic "Every normal number in base b is disjunctive but not conversely." is incorrect
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Concatenation of 1! 2! 3! ... is disjunctive?
editThis webpage cites
>> "A Note on N!", John E. Maxfield. Kansas State University, Mathematics Magazine, March-April 1970, pp.64-67
for a theorem stating that
"If A is any positive integer having M digits, there exists a positive integer N such that the first M digits of N! constitute the integer A."
However, I haven't been able to verify this citation. Can anyone else confirm it?
- Online sources: Maxfield's article and a paper by L. Southard (“Investigations on Maxfield's Theorem.” Pi Mu Epsilon Journal, vol. 7, no. 8, 1983, pp. 493–495).
"Every normal number in base b is disjunctive but not conversely." is incorrect
editCounterexample, 1.23456789012345678901234567890... is normal in base 10, but is not disjunctive in base 10. Zenten (talk) 02:19, 17 March 2019 (UTC)
- Nevermind, I misunderstood the definition of normal. Reverted my change. Zenten (talk) 02:33, 17 March 2019 (UTC)