Almost All Real Numbers are Normal
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Theorem
Almost all real numbers are normal.
Proof
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Historical Note
That Almost All Real Numbers are Normal was proved in $1909$ by Émile Borel.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Champernowne's number
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): normal number