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math.HO2010★ 7 cited
Bachet's Problem: as few weights to weigh them all
Edwin O'Shea
A problem that enjoys an enduring popularity asks: "what is the least number of pound weights that can be used on a scale pan to weigh any integral number of pounds from 1 to 40 in…
math.CO2010
Relaxed complete partitions: an error-correcting Bachet's problem
Jorge Bruno, Edwin O'Shea
Motivated by an error-correcting generalization of Bachet's weights problem, we define and classify relaxed complete partitions. We show that these partitions enjoy a succinct desc…