The Semiring of Multisets
| dc.contributor.advisor | Robert Hartwig, Chair | en_US |
| dc.contributor.advisor | Ernest Stitzinger, Member | en_US |
| dc.contributor.advisor | Jiang Luh, Member | en_US |
| dc.contributor.advisor | Mohan Putcha, Member | en_US |
| dc.contributor.author | Poplin, Phillip | en_US |
| dc.date.accessioned | 2010-04-02T18:40:22Z | |
| dc.date.available | 2010-04-02T18:40:22Z | |
| dc.date.issued | 2000-11-13 | en_US |
| dc.degree.discipline | Mathematics | en_US |
| dc.degree.level | PhD Dissertation | en_US |
| dc.degree.name | PhD | en_US |
| dc.description.abstract | The aim of this paper is to develop the basic theory of the Multiset Algebra. Multisets provide a connection between the eigenvalue/eigenvector equations for the Max-Plus and nonnegative real number systems. Multisets provide a moregeneral setting than either of these two algebras. Results about these two algebras will be developed from the theory of Multisets. | en_US |
| dc.identifier.other | etd-20001112-003455 | en_US |
| dc.identifier.uri | http://www.lib.ncsu.edu/resolver/1840.16/3925 | |
| dc.rights | I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. | en_US |
| dc.title | The Semiring of Multisets | en_US |
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