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).
This paper aims to identify the method of town planning in the Japanese castle town in the age of civil wars, about A. D. 1600. The conclusions are as follows, 1. The town plannings in the age of ...civil wars had been carried out owing to the precise drawings by the geometrical method. 2. The principal planning methods for the town plannings were the right angled triangle by Pyhthagoras's number (3:4:5), the magic square and the compass direction. 3. Shrines were used as the critical point in the town planning.
Two efficient edge-detecting operators are introduced. They are both based on templates derived from a 3 x 3 magic square, one operator can obtain edge gradient map with more continuous histogram, ...and the other can detect different edge directions efficiently. Experiments implemented based on the famous standard image Lena have shown the validity of the two approaches. This paper not only presents two efficient approaches for edge detection, but also enlightens new methodology for image processing research based on magic squares.
Image encryption algorithm based on chaotic system Jiu-Lun Fan; Xue-Feng Zhang
2006 7th International Conference on Computer-Aided Industrial Design and Conceptual Design,
2006-Nov.
Conference Proceeding
Traditional permutation encryption algorithm is not robustness for noise disturbing and shear transformation attacks. In order to ameliorate the security of image encryption algorithm, we present an ...image encryption algorithm based on location transformation. The algorithm permute image based on chaotic system and storage everyone pixel of the image in multi-place, this encrypted image is robustness for noise disturbing and shear transformation attack. An extended magic square matrix-generating algorithm is also presented and it improves on the efficiency of the magic square matrix-generating algorithm. The simulation results show that the effect of decrypting image is good when the encrypting image is modified by noise disturbing and shear transformation attack
Macroeconometric policy simulation models allow for an analysis, and, above all, for a quantification of the effects different economic policies have on the various variables that represent the ...economy. Despite the seminal ‘Lucas critique’ levelled against them, these models are still widely used, especially within policy-making institutions such as, e.g., central banks. In this paper, a model constructed by the author for the Swiss economy is used to explain, and to quantify the impact of fiscal, monetary, wage and social policies on the functional and personal distribution of income on the one hand, and on the four main objectives of contemporary economic policy on the other. These are: a high GDP growth, low inflation and unemployment, and a low or zero public deficit (the latter replacing the original fourth objective codified, e.g., in the German Stability Act of 1967, which was external balance). Our approach will enable us to answer questions like: Which income group suffers most from a hike in the short term interest rate?, Should a large public spending project better be financed by increasing the VAT rate or the income tax rate?, and How much could the aggregate social security contribution rate be lowered if the formula used for calculating the alignment of retirement pensions was changed?
By the introduction of computers, the conventional style of mathematics education, which put stress, most exclusively, on training in accurate calculation, will come to an end. In a new classroom ...environment, both the teachers and the students together will be able to experience the genuine delight of mathematics --that of hypothesizing, experimenting and verifying. As a sample material for such activities, this paper will take up magic squares, a time-honored subject from the tradition of Japanese mathematics.
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