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MAGIC MOORE-PENROSE INVERSES AND PHILATELIC MAGIC SQUARES WITH SPECIAL EMPHASIS ON THE DANIELS–ZLOBEC MAGIC SQUARE

Ka Lok Chu ; Department of Mathematics, Dawson College, Westmount (Québec), Canada
S. W. Drury ; Department of Mathematics & Statistics, McGill University, Montréal (Québec), Canada
George P. H. Styan ; Department of Mathematics & Statistics, McGill University, Montréal (Québec), Canada
Götz Trenkler ; Fakultät Statistik, Technische Universität Dortmund, Dortmund, Germany

Puni tekst: engleski, pdf (488 KB) str. 4-13 preuzimanja: 904* citiraj
APA 6th Edition
Chu, K.L., Drury, S.W., Styan, G.P.H. i Trenkler, G. (2011). MAGIC MOORE-PENROSE INVERSES AND PHILATELIC MAGIC SQUARES WITH SPECIAL EMPHASIS ON THE DANIELS–ZLOBEC MAGIC SQUARE. Croatian Operational Research Review, 2 (1), 4-13. Preuzeto s https://hrcak.srce.hr/96603
MLA 8th Edition
Chu, Ka Lok, et al. "MAGIC MOORE-PENROSE INVERSES AND PHILATELIC MAGIC SQUARES WITH SPECIAL EMPHASIS ON THE DANIELS–ZLOBEC MAGIC SQUARE." Croatian Operational Research Review, vol. 2, br. 1, 2011, str. 4-13. https://hrcak.srce.hr/96603. Citirano 16.06.2019.
Chicago 17th Edition
Chu, Ka Lok, S. W. Drury, George P. H. Styan i Götz Trenkler. "MAGIC MOORE-PENROSE INVERSES AND PHILATELIC MAGIC SQUARES WITH SPECIAL EMPHASIS ON THE DANIELS–ZLOBEC MAGIC SQUARE." Croatian Operational Research Review 2, br. 1 (2011): 4-13. https://hrcak.srce.hr/96603
Harvard
Chu, K.L., et al. (2011). 'MAGIC MOORE-PENROSE INVERSES AND PHILATELIC MAGIC SQUARES WITH SPECIAL EMPHASIS ON THE DANIELS–ZLOBEC MAGIC SQUARE', Croatian Operational Research Review, 2(1), str. 4-13. Preuzeto s: https://hrcak.srce.hr/96603 (Datum pristupa: 16.06.2019.)
Vancouver
Chu KL, Drury SW, Styan GPH, Trenkler G. MAGIC MOORE-PENROSE INVERSES AND PHILATELIC MAGIC SQUARES WITH SPECIAL EMPHASIS ON THE DANIELS–ZLOBEC MAGIC SQUARE. Croatian Operational Research Review [Internet]. 2011 [pristupljeno 16.06.2019.];2(1):4-13. Dostupno na: https://hrcak.srce.hr/96603
IEEE
K.L. Chu, S.W. Drury, G.P.H. Styan i G. Trenkler, "MAGIC MOORE-PENROSE INVERSES AND PHILATELIC MAGIC SQUARES WITH SPECIAL EMPHASIS ON THE DANIELS–ZLOBEC MAGIC SQUARE", Croatian Operational Research Review, vol.2, br. 1, str. 4-13, 2011. [Online]. Dostupno na: https://hrcak.srce.hr/96603. [Citirano: 16.06.2019.]

Sažetak
We study singular magic matrices in which the numbers in the rows and columns and in the two main diagonals all add up to the same sum. Our interest focuses on such magic matrices for which the Moore–
Penrose inverse is also magic. Special attention is given to the “Daniels–Zlobec magic square’’ introduced by the British magician and television performer Paul Daniels (b. 1938) and considered by Zlobec (2001);
see also Murray (1989, pp. 30–32). We introduce the concept of a “philatelic magic square” as a square arrangement of images of postage stamps so that the associated nominal values form a magic square. Three philatelic magic squares with stamps especially chosen for Sanjo Zlobec are presented in celebration of his 70th birthday; most helpful in identifying these stamps was an Excel checklist by Männikkö (2009).

Ključne riječi
magic matrix; Moore–Penrose inverse; Paul Daniels; philatelic magic square

Hrčak ID: 96603

URI
https://hrcak.srce.hr/96603

Posjeta: 1.076 *