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Survey on fusible numbers

2012/02/25 by Junyan Xu, Xu, Junyan
Computer Science · Mathematics · #Combinatorics (math.CO) #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #math.CO #math.LO

paper · pdf · doi:10.48550/arxiv.1202.5614

10 pages, 1 figure

arxiv created 2012/02/25 · openalex publication_date 2012/02/25 · arxiv updated 2012/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We point out that the recursive formula that appears in Erickson's presentation "Fusible Numbers" is incorrect, and pose an alternate conjecture about the structure of fusible numbers. Although we are unable to solve the conjecture, we succeed in establishing some basic properties of fusible numbers. We suggest some possible approaches to the conjecture, and list further problems in the final chapter.

Citations

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