| Autor: |
ZAMRII, I. V., SHKAPA, V. V., VLASYK, H. M. |
| Předmět: |
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| Zdroj: |
Matematychni Studii; 2021, Vol. 56 Issue 1, p3-19, 17p |
| Abstrakt: |
In the paper we study encoding of the fractional part of a real number with an infinite alphabet (set of digits) coinciding with the set of non-negative integers. The geometry of this encoding is generated by Q3-representation of real numbers, which is a generalization of the classical ternary representation. The new representation has infinite alphabet, zero redundant and can be efficiently used to specify mathematical objects with fractal properties. We have been studied the functions preserving the "tails"of ̅Q3-representation of numbers and the set of such functions, some metric problems and some problems of the probability which are connected with Q3-representation. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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