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On the symbolic manipulation for the cardinality of certain degree polynomials

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dc.Conferencecode124740
dc.Conferencedate10 August 2016 through 12 August 2016
dc.Conferencename2nd International Conference on Mathematics, Engineering and Industrial Applications 2016, ICOMEIA 2016
dc.contributor.affiliationsFaculty of Science and Technology
dc.contributor.affiliationsUniversiti Sains Islam Malaysia (USIM)
dc.contributor.affiliationsUniversity of Sriwijaya
dc.contributor.authorAbdullah I.en_US
dc.contributor.authorSeman K.en_US
dc.contributor.authorTaib B.M.en_US
dc.contributor.authorPuspita F.M.en_US
dc.date.accessioned2024-05-29T01:54:46Z
dc.date.available2024-05-29T01:54:46Z
dc.date.issued2016
dc.description.abstractThe research on cardinality of polynomials was started by Mohd Atan [1] when he considered a set, V(f-;p?)={umodp?:f-(u)?0modp?}, where ? > 0 and f-=(f1,f2,?fn). The term f-(u)?0-modp? means that we are considering all congruence equations of modulo p? and we are looking for u that makes the congruence equation equals zero. This is called the zeros of polynomials. The total numbers of such zeros is termed as N(f-;p?). The above p is a prime number and Zp is the ring of p-adic integers, and x-=(x1,x2, ?xn). He later let N(f-;p?)=card V(f-;p?). The notation N(f-;p?) means the number of zeros for that the polynomials f-. For a polynomial f (x) defined over the ring of integers Z, Sandor [2] showed that N(f;p?)? mp12ordpD, where D ? 0, ? > ordpD and D is the discriminant of f. In this paper we will try to introduce the concept of symbolic manipulation to ease the process of transformation from two-variables polynomials to one-variable polynomials. � 2016 Author(s).
dc.description.natureFinalen_US
dc.editorKhazali K.A.M.Daud W.S.W.Amin N.A.M.Zaimi W.M.K.A.W.Yusuf Y.N.A.Abdullah N.Aziz N.H.A.Rusli N.Masnan M.J.Yahya Z.en_US
dc.identifier.ArtNo30051
dc.identifier.doi10.1063/1.4965171
dc.identifier.isbn9780740000000
dc.identifier.issn0094243X
dc.identifier.scopus2-s2.0-84997287985
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84997287985&doi=10.1063%2f1.4965171&partnerID=40&md5=129d85365393dc08fb92a81e113e0412
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/9542
dc.identifier.volume1775
dc.languageEnglish
dc.language.isoen_US
dc.publisherAmerican Institute of Physics Inc.en_US
dc.relation.ispartofAIP Conference Proceedings
dc.sourceScopus
dc.titleOn the symbolic manipulation for the cardinality of certain degree polynomials
dc.typeConference Paperen_US
dspace.entity.typePublication

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