2015/01/24 by Md Towhidul Islam, Islam, Md Towhidul, Md Shahidul Islam +1
Mathematics · #11B50 #Combinatorics (math.CO) #FOS: Mathematics #History and Overview (math.HO) #math.CO #math.HO #msc:11B50
paper · pdf · doi:10.48550/arxiv.1502.07730
8 pages, 6 theorems
arxiv created 2015/02/27 · arxiv updated 2015/03/02
We find out the number of different partitions of an n-kilogram stone into the minimum number of parts so that all integral weights from 1 to n kilograms can be weighed in one weighing using the parts of any of the partitions on a two-pan balance. In comparison to the traditional partitions, these partitions have advantage where there is a constraint on total weight of a set and the number of parts in the partition. They may have uses in determining the optimal size and number of weights and denominations of notes and coins.