Dissertation/Thesis Abstract

Elementary Functions and Their Inverses on Zeons
by Zhou, Huiqing, M.S., Southern Illinois University at Edwardsville, 2018, 37; 10844050
Abstract (Summary)

Zeon Algebas can be thought of as commutative analogues of fermion algebras, and they can be constructed as subalgebras within Clifford algebras of appropriate signature. Their inherent conbinatorial properties make them useful for application in graph enumeration problems and evaluating functions defined on partitions. In this thesis, the inverse of sine, cosine, hyperbolic sine and hyperbolic cosine on zeons are derived. Furthermore,the inverse, the kth power, kth root and the number of kth root of invertible zeons are discussed from the perspective of the unique factorization on nontrivial zeons.

Indexing (document details)
Advisor: Zhou, Huiqing
Commitee: L.Parish, James, Song, Myung-Sin, Staples, G.Stacey
School: Southern Illinois University at Edwardsville
Department: Math
School Location: United States -- Illinois
Source: MAI 58/04M(E), Masters Abstracts International
Subjects: Mathematics
Keywords: Elementary functions, Inverse, Kth power, Kth root, Zeon algebras, Zeons
Publication Number: 10844050
ISBN: 978-0-438-83796-6
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