Тимер Айратович Абзалилов

Theory of Barrier Numbers: Digit-Dependent Truncation, Non-Associative Arithmetic, and the Virtual Tail Concept

We study a decimal truncation rule called the barrier map: a zero digit stops an expansion when its immediately preceding fractional digit is less than five. We define its domain and canonical representation, prove finite termination for every base-ten normal number, and exhibit...