Computation of Odd Magic Square Using a New Approach with Some Properties
Several aspects of magic square studies fall within the computations all universes. Experimented computation has reverted patterns, some of which have lead to analytic insight. With the aid of arithmetic modular and the properties of it, we get magic squares, also we use the algebraic operations of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Unviversity of Technology- Iraq
2012-04-01
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| Series: | Engineering and Technology Journal |
| Subjects: | |
| Online Access: | https://etj.uotechnology.edu.iq/article_42179_35029b1658b5fb8cb25a6e28c60761d3.pdf |
| _version_ | 1797325492008779776 |
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| author | Shatha A. Al-Najjar Nuha A.R Fuad A.A.l-Heety |
| author_facet | Shatha A. Al-Najjar Nuha A.R Fuad A.A.l-Heety |
| author_sort | Shatha A. Al-Najjar |
| collection | DOAJ |
| description | Several aspects of magic square studies fall within the computations all universes. Experimented computation has reverted patterns, some of which have lead to analytic insight. With the aid of arithmetic modular and the properties of it, we get magic squares, also we use the algebraic operations of matrices which are addition, subtraction, multiplication, transpose, rotation, and reflection, then discuss the results that we are obtained, the eigenvalues of these magic squares are also computed and we get some magic squares with the same eigenvalues, the inverse of the magic squares which are found by using arithmetic modular are also magic squares. An example with order 3 of magic square is given to explain our results. |
| first_indexed | 2024-03-08T06:10:13Z |
| format | Article |
| id | doaj.art-289cf2e713d54a98bdf13dcb6e9718d3 |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T06:10:13Z |
| publishDate | 2012-04-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-289cf2e713d54a98bdf13dcb6e9718d32024-02-04T17:39:11ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582012-04-013071203121010.30684/etj.30.7.842179Computation of Odd Magic Square Using a New Approach with Some PropertiesShatha A. Al-NajjarNuha A.RFuad A.A.l-HeetySeveral aspects of magic square studies fall within the computations all universes. Experimented computation has reverted patterns, some of which have lead to analytic insight. With the aid of arithmetic modular and the properties of it, we get magic squares, also we use the algebraic operations of matrices which are addition, subtraction, multiplication, transpose, rotation, and reflection, then discuss the results that we are obtained, the eigenvalues of these magic squares are also computed and we get some magic squares with the same eigenvalues, the inverse of the magic squares which are found by using arithmetic modular are also magic squares. An example with order 3 of magic square is given to explain our results.https://etj.uotechnology.edu.iq/article_42179_35029b1658b5fb8cb25a6e28c60761d3.pdfmagic squareodd magic |
| spellingShingle | Shatha A. Al-Najjar Nuha A.R Fuad A.A.l-Heety Computation of Odd Magic Square Using a New Approach with Some Properties Engineering and Technology Journal magic square odd magic |
| title | Computation of Odd Magic Square Using a New Approach with Some Properties |
| title_full | Computation of Odd Magic Square Using a New Approach with Some Properties |
| title_fullStr | Computation of Odd Magic Square Using a New Approach with Some Properties |
| title_full_unstemmed | Computation of Odd Magic Square Using a New Approach with Some Properties |
| title_short | Computation of Odd Magic Square Using a New Approach with Some Properties |
| title_sort | computation of odd magic square using a new approach with some properties |
| topic | magic square odd magic |
| url | https://etj.uotechnology.edu.iq/article_42179_35029b1658b5fb8cb25a6e28c60761d3.pdf |
| work_keys_str_mv | AT shathaaalnajjar computationofoddmagicsquareusinganewapproachwithsomeproperties AT nuhaar computationofoddmagicsquareusinganewapproachwithsomeproperties AT fuadaalheety computationofoddmagicsquareusinganewapproachwithsomeproperties |