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.
|Commitee:||L.Parish, James, Song, Myung-Sin, Staples, G.Stacey|
|School:||Southern Illinois University at Edwardsville|
|School Location:||United States -- Illinois|
|Source:||MAI 58/04M(E), Masters Abstracts International|
|Keywords:||Elementary functions, Inverse, Kth power, Kth root, Zeon algebras, Zeons|
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