Please use this identifier to cite or link to this item:
http://studentrepo.iium.edu.my/handle/123456789/6069
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mohd Ali Khameini bin Ahmad | en_US |
dc.date.accessioned | 2020-08-20T12:27:00Z | - |
dc.date.available | 2020-08-20T12:27:00Z | - |
dc.date.issued | 2016 | - |
dc.identifier.uri | http://studentrepo.iium.edu.my/jspui/handle/123456789/6069 | - |
dc.description.abstract | In this thesis, we did a research on cubic equations over p-adic field Qp where p is a prime number. In the first part, we studied the general cubic equations over Qp where p >3. We described the location of roots of the general cubic equation without knowing their exact values. Furthermore, we gave the solvability criterion and the number of roots of the general cubic equation over Zp; Zp \ Zp; Qp nZp and Qp. In the second part, we discussed the depressed cubic equations over p-adic field. We provided the exact location of roots of the depressed cubic equation over p-adic field for p > 3. For p = 3, we provided the solvability criterion and the number of roots of the depressed cubic equation over Z3; Z3 \ Z3; Q3 \ Z3 and Q3. While, for p D 2, we provided the solvability criterion of the depressed cubic equation over Z2; Z2 \ Z2; Q2 \ Z2 and Q2. In the last part, we presented the application of the cubic equations in the p-adic Potts model. We described all translation invariant p-adic Gibbs measures for the Potts model on Cayley tree of order three by giving all possible forms of boundary functions. We showed that the boundary functions can be described in terms of roots of some general cubic equations over some domains of p-adic field. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Kuantan :International Islamic University Malaysia, 2016 | en_US |
dc.rights | Copyright International Islamic University Malaysia | |
dc.subject.lcsh | Equations, Cubic | en_US |
dc.subject.lcsh | p-adic numbers | en_US |
dc.subject.lcsh | p-adic field | en_US |
dc.title | Cubic equations over p-adic field and their applications | en_US |
dc.type | Master Thesis | en_US |
dc.identifier.url | https://lib.iium.edu.my/mom/services/mom/document/getFile/klXFhaT9IseUqz8VGA1fxal5MxYl4uUa20161017121303294 | - |
dc.description.identity | t11100345413MohdAliKhameini | en_US |
dc.description.identifier | Thesis : Cubic equations over p-adic field and their applications /by Mohd Ali Khameini bin Ahmad | en_US |
dc.description.kulliyah | Kulliyyah of Science | en_US |
dc.description.programme | Master of Science (Computational and Theoretical Sciences) | en_US |
dc.description.degreelevel | Master | |
dc.description.callnumber | t QA 215 M697C 2016 | en_US |
dc.description.notes | Thesis (MSCTS)--International Islamic University Malaysia, 2016. | en_US |
dc.description.physicaldescription | x, 162 leaves :ill. ;30cm. | en_US |
item.openairetype | Master Thesis | - |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | KOS Thesis |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
t11100345413MohdAliKhameini_SEC_24.pdf | 24 pages file | 457.15 kB | Adobe PDF | View/Open |
t11100345413MohdAliKhameini_SEC.pdf Restricted Access | Full text secured file | 3.73 MB | Adobe PDF | View/Open Request a copy |
Page view(s)
28
checked on May 18, 2021
Download(s)
26
checked on May 18, 2021
Google ScholarTM
Check
Items in this repository are protected by copyright, with all rights reserved, unless otherwise indicated. Please give due acknowledgement and credits to the original authors and IIUM where applicable. No items shall be used for commercialization purposes except with written consent from the author.