Integer sets with identical representation functions
Yong-Gao Chen, Vsevolod F. Lev
TL;DR
This paper introduces a flexible method for constructing pairs of integer sets that have infinite symmetric difference and intersection while sharing the same representation function.
Contribution
The paper presents a novel construction technique for generating integer set pairs with specific infinite set properties and identical representation functions.
Findings
Constructed pairs have infinite symmetric difference
Constructed pairs have infinite intersection
Pairs share the same representation function
Abstract
We present a versatile construction allowing one to obtain pairs of integer sets with infinite symmetric difference, infinite intersection, and identical representation functions.
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Taxonomy
Topicsgraph theory and CDMA systems · Advanced Numerical Analysis Techniques · Advanced Optimization Algorithms Research