TL;DR
This paper presents algorithms with proofs for the existence and uniqueness of the Absolute and Alternating Ostrowski Numeration Systems, advancing understanding of irrational base counting methods.
Contribution
It introduces algorithmic implementations and proofs for the Absolute and Alternating Ostrowski Numeration Systems, which are novel in the context of irrational base counting.
Findings
Algorithms with proven existence and uniqueness
Enhanced understanding of irrational base representations
Potential applications in number theory and computer science
Abstract
We will provide algorithmic implementation with proofs of existence and uniqueness for the Absolute and Alternating Ostrowski Numeration Systems.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Algebra and Logic · Computability, Logic, AI Algorithms