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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“The Transcendentalist adopts the whole connection of spiritual doctrine. He believes in miracle, in the perpetual openness of the human mind to new influx of light and power; he believes in inspiration, and in ecstacy.”
—Ralph Waldo Emerson (1803–1882)
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