Magic Squares and Latin Squares

Yıl 2013, Cilt: 10 Sayı: 1, 17 - 28, 15.07.2013

Fikri Akdeniz

Öz

In this paper, magic squares which have been known for 4000 years are presented. Especially, Moore-Penrose inverse and eigenvalue properties of 2n x 2n (n≥2) singular magic squares are investigated. Furthermore, Latin square design models are illustrated visually by special stamps.

Anahtar Kelimeler

Latin Square, Moore-Penrose İnverse, Magic Constant, Magic Square, Semi-Magic Square

Sihirli Kareler ve Latin Kareler

Öz

Bu makalede 4000 yıldır bilinen sihirli kareler ele alınmıştır. Özellikle singular matrisler veren 2nx2n (n≥2) boyutlu sihirli matrislerin Moore-Penrose inversi ve özdeğerlerinin özellikleri incelenmiştir. Ayrıca, Latin kare tasarım modelleri pullar yardımıyla görsel olarak verilmiştir.

Anahtar Kelimeler

Latin Kare, Moore-Penrose İnvers, Sihirli Sabit, Sihirli Kare

Kaynakça

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