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|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be