On dual sequences of measurable amounts of the two jugs problem

Research output: Chapter in Book/Report/Conference proceedingChapters

Abstract

Let M(m, n) be the integer sequence of all positive measurable amounts less than m + n that are obtainable by two unmarked jugs with capacities m and n units. We introduce the concept of dual sequences which describe the correspondence relation between M (m₁, n₁) and M (m₂, n₂), where 0 < m₁ < n₁, 0 < m₂ < n₂, m₁ + n₁ = m₂ + n₂ and gcd (m₁, n₁) = gcd (m₂, n₂) = 1. Some illustrative examples are provided. Copyright © 2018 Research India Publications.
Original languageEnglish
Title of host publicationAdvanced mathematics theory and applications
EditorsTaekyun KIM
Place of PublicationDelhi
PublisherResearch India Publications
Pages13-22
VolumeII
ISBN (Print)9789387374331
Publication statusPublished - 2018

Citation

Man, Y.-K. (2018). On dual sequences of measurable amounts of the two jugs problem. In T. Kim (Ed.), Advanced mathematics theory and applications (Vol. II, pp. 13-22). Delhi: Research India Publications.

Keywords

  • Jug problem
  • Dual sequence
  • Measurable amounts
  • Diophantine equation

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