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dc.contributor.advisorBarth, Eric J., 1964-
dc.contributor.authorManski, Sarah E.
dc.description51 p.en_US
dc.description.abstractA More Sums Than Differences (MSTD) set is a set A for which |A+A|j > jA - A|. Martin and O'Bryant proved that the proportion of MSTD sets in {0, 1,…, n} is bounded below by a positive number as n goes to infinity. We extend this notion and study decompositions of intervals {0, 1,…, n} into MSTD sets and prove that a positive proportion of decompositions into two sets have the property that both sets are MSTD.en_US
dc.publisherKalamazoo Collegeen_US
dc.relation.ispartofKalamazoo College Mathematics Senior Individualized Projects Collection
dc.rightsU.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder.
dc.titleFringe Pairs in Generalized MSTD Setsen_US
KCollege.Access.ContactIf you are not a current Kalamazoo College student, faculty, or staff member, email to request access to this thesis.

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  • Mathematics Senior Individualized Projects [254]
    This collection includes Senior Individualized Projects (SIP's) completed in the Mathematics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff.

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