Article
Normal Numbers and Cantor Expansions
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Abstract
A real number is called normal if every block of digits in its ex- pansion occurs with the same frequency. A famous result of Borel is that almost every number is normal. We extend the definition of normal numbers to the case of Cantor series. The main result of this paper is that under some condition almost every number is normal in the new sense.
Keywords
Normal numbers, Cantor Expansion.
Citation
Filip, F. & Sustek, J. (2014). Normal numbers and cantor expansions. Uniform Distribution Theory, 9(2), 93–101.
F. Filip and J. Sustek, “Normal numbers and cantor expansions,” Uniform Distribution Theory, vol. 9, no. 2, pp. 93–101, 2014.
Filip F, Sustek J. Normal numbers and cantor expansions. Uniform Distribution Theory. 2014;9(2):93–101.
Filip, F. and Sustek, J. (2014), ‘Normal numbers and cantor expansions’, Uniform Distribution Theory, 9(2), pp. 93–101.
Filip, Ferdinand, and Jan Sustek. “Normal Numbers and Cantor Expansions.” Uniform Distribution Theory, vol. 9, no. 2, 2014, pp. 93–101.
Filip, Ferdinand, and Jan Sustek. “Normal Numbers and Cantor Expansions.” Uniform Distribution Theory 9, no. 2 (2014): 93–101.
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Published by: Engineering Journals
