benford’s law and irrational rotation

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How frequently do powers of 2 start with digit 7 ? Benford’s Law and irrational rotation

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Page 1: Benford’s Law and irrational rotation

How frequently do powers of 2 start with digit 7 ?

Benford’s Law and irrational rotation

Page 2: Benford’s Law and irrational rotation
Page 3: Benford’s Law and irrational rotation
Page 4: Benford’s Law and irrational rotation
Page 5: Benford’s Law and irrational rotation

Rational approximations

Page 6: Benford’s Law and irrational rotation
Page 7: Benford’s Law and irrational rotation
Page 8: Benford’s Law and irrational rotation
Page 9: Benford’s Law and irrational rotation