【摘 要】
：
Our motivation in this talk is the 13th-century Anxi iron-plate doubly-classic 6x 6 bordered magic square discussed by Kai-Tai Fang at the 22nd International
【机 构】
：
McGill University,Montréal (Québec),Canada
【出 处】
：
The 24th International Workshop on Matrices and Statistics(第
论文部分内容阅读
Our motivation in this talk is the 13th-century Anxi iron-plate doubly-classic 6x 6 bordered magic square discussed by Kai-Tai Fang at the 22nd International Workshop on Matrices and Statistics in Toronto (IWMS-2013), and which we define by the matrix A. We also study the magic square in the "16th-century magical square in a manuscript" given on the "Bedouin Silver: magical squares" website, and which we define by the matrix B. In his "Bordered magic squares" website, Harry White observed that for such magic squares, in all there are 140 "border groups". Of these 140 we found 93 displayed in the literature. We identify all 140 and find that they occur in 70 pairs, with the matrices A and B forming one such pair. Moreover, we find that the rank depends only on the rank of the inner 4x4 heart submatrix H, which is Plato-like in that H = P + hE, where P is the well-known Plato magic matrix and E has every entry equal to 1; here h = 10. We end our talk by displaying some seals and talismans with Plato-like magic squares.
其他文献
Insects visit a dead body left outdoors. Their characteristics (measurements of size and development and combinations of species) can provide a biological c
In probability theory, there are several different types of ergodicity,the ordinary ergodicity, the algebraic ergodicity, the exponential ergodicity, and th
There are 2,202,441,792 magic squares of order 5 indicated by Schroeppels Method in 1975. His assistant Michael Beder published the program without computat
This paper studies an adaptive lasso-based approach for model selection of a finite order autoregressive [AR(p)] models. We fit an AR($p_{n}$) model to the
Perturbation analysis of Markov chains provides bounds on the e_ect a change in the Markov transition matrix has on the corresponding stationary distributio
Assume that a general linear mixed-effects model y = Xβ + Zγ + ε is given. In this talk, Ill introduce how to derive analytical expressions of the best l
Integer-valued generalized autoregressive conditional heteroscedasticity (GARCH) models have played an important role in time series analysis of count data.
We present a philatelic introduction to magic squares, beginning with the well-known 4×4 Dürer magic square in Melencolia I (1514) depicted in sheetlets f
In this talk we consider the problem of testing (a) sphericity and (b) intraclass covariance structure under a Growth Curve model. The maximum likelihood es
With a history of more than 3000 years, magic squares still are mysterious in various aspects. We in this paper give a comprehensive review and study on cla