正規数
出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2023/04/25 00:47 UTC 版)
数学における
- ^ Cassels, J. W. S. "On a problem of Steinhaus about normal numbers." Colloq. Math., 7, 95-101, 1959.
- ^ Schmidt, W. "On normal numbers." Pacific J. Math., 10, 661-672, 1960.
- ^ Borel, E. "Les probabilités dénombrables et leurs applications arithmétiques." Rend. Circ. Mat. Palermo, 27, 247-271, 1909.
- ^ Sierpinski, W. "Démonstration élémentaire d'un théorème de M. Borel sur les nombres absolutment normaux et détermination effective d'un tel nombre." Bull. Soc. Math. France, 45, 125-144, 1917.
- ^ Champernowne, D. G. "The Construction of Decimals Normal in the Scale of Ten." J. London Math. Soc., 8, 254-260, 1933.
- ^ Copeland, A. H. and Erdős, P. "Note on normal numbers." Bull. Amer. Math. Soc., 52, 857-860, 1946.
- ^ Bailey, D. H. and Crandall, R. E. "On the random character of fundamental constant expansions." Experiment. Math., 10, 175-190, 2001.
- ^ Wall, D. D. "Normal Numbers." Ph.D. thesis, University of California, Berkeley, California, USA, 1949.
- ^ Ziv, J. and Lempel, A. "Compression of individual sequences via variable-rate coding." IEEE Trans. Inform. Theory, 24, 530-536, 1978.
- ^ Bourke, C., Hitchcock, J. M., and Vinodchandran, N. V. "Entropy rates and finite-state dimension." Theoret. Comput. Sci., 349, 392-406, 2005.
- ^ Kuipers, L. and Niederreiter, H. "Uniform distribution of sequences." Pure and Applied Mathematics, Wiley-Interscience, New York-London-Sydney, 1974.
- ^ Agafonov, V. N. "Normal sequences and finite automata." Soviet Math. Dokl., 9, 324-325, 1968.
- ^ Schnorr, C. P. and Stimm, H. "Endliche Automaten und Zufallsfolgen." Acta Informatica, 1, 345-359, 1972.
- ^ Bourke, C., Hitchcock, J. M. and Vinodchandran, N. V. "Entropy rates and finite-state dimension." Theoret. Comput. Sci. 349, 392-406, 2005.
[続きの解説]
「正規数」の続きの解説一覧
- 1 正規数とは
- 2 正規数の概要
- 3 有限オートマトンとの関係
- 4 関連項目
- 正規数のページへのリンク
