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A Theorem on the Representation of certain Sequence Spaces

โœ Scribed by Kuttner, B.; Parameswaran, M. R.


Book ID
120092574
Publisher
Oxford University Press
Year
1988
Tongue
English
Weight
64 KB
Volume
20
Category
Article
ISSN
0024-6093

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A representation theorem of the suffixes
โœ Chuan Wai-Fong ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 574 KB

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