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- W3205892415 abstract "Let $alpha=0.a_1a_2a_3ldots$ be an irrational number in base $b>1$, where $0leq a_i<b$. The number $alpha in (0,1)$ is a textit{normal number} if every block $(a_{n+1}a_{n+2}ldots a_{n+k})$ of $k$ digits occurs with probability $1/b^k$. A proof of the normality of the real number $sqrt{2}$ in base $10$ is presented in this note. Three different proofs based on different methods are given: a conditional proof, and two unconditional proofs." @default.
- W3205892415 created "2021-10-25" @default.
- W3205892415 creator A5040810155 @default.
- W3205892415 date "2021-09-01" @default.
- W3205892415 modified "2023-09-23" @default.
- W3205892415 title "Equidistribution Mod $1$ And Normal Numbers" @default.
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- W3205892415 doi "https://doi.org/10.48550/arxiv.2109.00562" @default.
- W3205892415 hasPublicationYear "2021" @default.
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