2014/07/14 by Richard J. Mathar, Mathar, Richard J.
Mathematics · #05A17 #49K35 (Secondary) #90C27 (Primary) 11P70 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Benford’s Law and Fraud Detection #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A17 #msc:11P70 #msc:49K35 #msc:90C27
paper · pdf · doi:10.48550/arxiv.1407.3613
7 pages. LaTeX with amsart
arxiv created 2014/07/14 · openalex publication_date 2014/07/14 · arxiv updated 2014/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
ApSimon considered the problem of deciding by a process of two weighings on which of a known number of mints emit either coins of a known genuine weight or emit coins of a different secondary but unknown weight. The combinatorial problem consists of finding two sets of coin numbers to be loaded on the tray for each of the weighings, and then to minimize the total count of coins to be drawn from all mints for these two weighings. This work yields numerical results for the generalized problem which allows three or more weighings to settle which of the mints produce either sort of coins.