Lexicon (mathematics)
From Wikipedia, the free encyclopedia
In real analysis, it is easy to prove the existence of real numbers whose binary representation contains every possible finite binary sequence (for example, by construction in the obvious way).
A lexicon is a real number that has this property in a way that is independent of its representation. Counterintuitively, according to Claude and Zamfirescu (1998) "almost every" real number has this remarkable property.
[edit] References
- Cristian S. Claude and Tudor Zamfirescu. The typical number is a lexicon. New Zealand J. Math. Volume 27, Number 1 (1998) pp. 7-13.
 |
This mathematics-related article is a stub. You can help Wikipedia by expanding it. |
