Results 11 to 20 of about 450,334 (291)
SEXTONIONS AND THE MAGIC SQUARE [PDF]
Journal of the London Mathematical Society, 2006 Associated to any complex simple Lie algebra is a non-reductive complex Lie algebra which we call the intermediate Lie algebra. We propose that these algebras can be included in both the magic square and the magic triangle to give an additional row and column. The extra row and column in the magic square corresponds to the sextonions.
BRUCE W. WESTBURY, Westbury, Bruce
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Bordered Magic Squares With Order Square Magic Sums
, 2020 The idea of nested magic squares is well known in the literature, generally known by bordered magic squares. In this work, nested magic squares are studied in such a way that the magic sums are equal to the order of the magic square. The study include integer values. In some cases decimal entries with positive and negative entries are also used.
Inder J. Taneja
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Dicationic Ion-Pair Doping Enables Stable and High-Performing Conducting Polymers for Organic Thermoelectrics. [PDF]
Adv Sci (Weinh)TAB–2TFSI enables efficient ion‐pair doping across a wide range of conjugated polymers, where the strongly oxidizing TAB core drives charge transfer, and the TFSI counterions promote favorable ionic compensation. This dicationic dopant promotes uniform dopant distribution, improves structural order, and increases carrier delocalization, establishing a ...
Park J +14 more
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Construction of a repetitive magic square with Ramanujan's number as its product
Heliyon, 2023 In this article, we build a repetitive magic square by multiplying four elements. This square is a matrix with its corresponding elements. The elements of this matrix that take different values allow us to obtain Ramanujan's number 1729 as its ...
Prasantha Bharathi Dhandapani +2 more
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On the Existence of a Normal Trimagic Square of Order 16n
Journal of Mathematics, 2023 The study of magic squares has a long history, and magic squares have been applied to many mathematical fields. In this paper, we give a complete solution to the existence of normal trimagic squares of all orders 16n.
Can Hu +4 more
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Jacques Sesiano, An Ancient Greek Treatise on Magic Squares
Aestimatio, 2022 : The two earliest Arabic treatises explaining the construction of magic squares date from the 10th century ad. One is found in the Commentary on the Arithmetical [Introduction] (Kitāb tafsīr al-Arithmāṭīqī) by ʿAlī ibn Aḥmad al-Anṭākī (d. 376 H/ad 987).
Jeffrey A. Oaks
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A Novel RGB Image Obfuscation Technique Using Dynamically Generated All Order-4 Magic Squares
IEEE Access, 2023 Plethora of image encryption schemes exist in literature based on the construct of magic square for realizing the purpose of image obfuscation. This magic square carries out the scrambling project of the encryption.
Mahmood Ul Hassan +5 more
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Spectrum of MATLABs magic squares [PDF]
, 2022 This article looks at the eigenvalues of magic squares generated by the MATLAB's magic($n$) function. The magic($n$) function constructs doubly even ($n = 4k$) magic squares, singly even ($n = 4k+2$) magic squares and odd ($n = 2k+1$) magic squares using
Ambikasaran, Sivaram +1 more
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THE MAGIC SQUARE OF REFLECTIONS AND ROTATIONS
Rocky Mountain Journal of Mathematics, 2023 We show how Coxeter’s work implies a bijection between complex reflection groups of rank two and real reflection groups in 0(3). We also consider this magic square of reflections and rotations in the framework of Clifford algebras: we give an interpretation using (s)pin groups and explore these groups in small dimensions.
Buchweitz, R.-O., Faber, E., Ingalls, C.
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ANALYTICAL FORLVIULAE Ai'll) ALGORITHMS FOR CONSTRUCTING MAGIC SQUARES FROM AN ARBITRARY SET OF 16 NUMBERS [PDF]
, 2005 In this paper we seek for an answer on Smarandache type question: may one create the theory of Magic squares 4x4 in size without using properties of some concrete numerical sequences?
CHEBRAKOV, Y.V.
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