Connection To Equidistributed Sequences
A number x is normal in base b if and only if the sequence is equidistributed modulo 1, or equivalently, using Weyl's criterion, if and only if
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“One must always maintain ones connection to the past and yet ceaselessly pull away from it. To remain in touch with the past requires a love of memory. To remain in touch with the past requires a constant imaginative effort.”
—Gaston Bachelard (18841962)
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