Results 1 to 10 of about 5,316 (155)
Numerous but rare: an exploration of magic squares. [PDF]
PLoS ONE, 2015 How rare are magic squares? So far, the exact number of magic squares of order n is only known for n ≤ 5. For larger squares, we need statistical approaches for estimating the number.
Akimasa Kitajima, Macoto Kikuchi
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Rapid and Efficient Optimization of Poly(1,2-Ethanediol Citrate) Synthesis Based on Magic Squares’ Various Methods [PDF]
Gels, 2022 New biomaterials among aliphatic polyesters are in demand due to their potential applications in tissue engineering. There is a challenge not only to design scaffolds to regenerate defects in load-bearing tissues but also to ensure a proper blood supply ...
Joanna Howis +2 more
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International Journal of Mathematics and Mathematical Sciences, 2016 The definition of a regular magic square motivates us to introduce the new special magic squares, which are reflective magic squares, corner magic squares, and skew-regular magic squares.
Thitarie Rungratgasame +4 more
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Some results on magic squares based on generating magic vectors and R-C similar transformations
Special Matrices, 2017 In this paper we propose a new method, based on R-C similar transformation method, to study classification for the magic squares of order 5. The R-C similar transformation is defined by exchanging two rows and related two columns of a magic square.
Kai-Tai Fang, Xiaoyang Ma
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Prime Strictly Concentric Magic Squares of Odd Order
MathematicsMagic squares have been widely studied, with publications of mathematical interest dating back over 100 years. Most studies construct and analyse specific subsets of magic squares, with some exploring links to puzzles, number theory, and graph theory ...
Anna Skelt +2 more
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Harnessing faba bean MAGIC populations for enhanced protein content, yield, and agronomic performance in diverse environments [PDF]
Frontiers in Plant ScienceFaba bean (Vicia faba L.) is an increasingly important source of plant-based protein; however, improving both grain yield and protein content remains a major breeding challenge.
Lynn Abou Khater +9 more
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Development and validation of a risk prediction model for prostate cancer integrating quantitative MRI and clinical data [PDF]
Frontiers in OncologyObjectivesTo develop and validate a predictive model for prostate cancer (PCa)by integrating quantitative MRI and clinical data.MethodsA retrospective study was conducted on 290 patients clinically diagnosed with prostate lesions between March 2023 and ...
Yafei Zhang +5 more
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Sources and Studies in the History of Mathematics and Physical Sciences, 2019 Magic squares are an important part of recreational mathematics. And they can be used in mathematics education, through problem solving, explorations, investigations, even with algorithmic procedures. Magic squares, on the other hand have not been invented in western mathematics, they were known in China and certainly were passed on from Africa to ...
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Computation of Odd Magic Square Using a New Approach with Some Properties [PDF]
Engineering and Technology Journal, 2012 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.
Shatha A. Al-Najjar +2 more
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On Multiplicative Magic Squares [PDF]
The Electronic Journal of Combinatorics, 2010 In this note, we give a lower bound for the distance between the maximal and minimal element in a multiplicative magic square of dimension $r$ whose entries are distinct positive integers.
Javier Cilleruelo, Florian Luca
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