Let CL be an irrational number between 0 and 1 with continued fraction [0, al + 1,~. .]. The characteristic sequence of x is by definition an infinite word f over the alphabet (0. 1 }, whose nth letter is [(n + 1)cx -ncr], n > 1. A.A. Markov has proved that f has a representation ~'=uIu~..., where
Representation Theorems for the Sequences of the Classes CRcand ERc
β Scribed by D. Djurcic; A. Torgasev
- Book ID
- 111611669
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2004
- Tongue
- English
- Weight
- 176 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0037-4466
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