Magic rectangles are well-known for its very interesting and entertaining combinatorics. In a magic rectangle, the numbers 1 to mn are arranged in an array of m rows and n columns so that each row adds to the same total M and each column to the same total N . In the present paper we provide a new systematic method for constructing any even by even magic rectangle. The method proposed is extreme...

The first MAGIC telescope is close to completion and soon will start to collect data. Parallel to the ongoing MAGIC construction we pursuit studies for the future 2nd phase of the MAGIC observatory project. We have been considering 3 choices for the extension of the project: a) To build a ∼30 m diameter telescope in the vicinity of MAGIC. b) To give MAGIC another camera based on very high quant...

Using computational algebraic geometry techniques and Hilbert bases of polyhedral cones we derive explicit formulas and generating functions for the number of magic squares and magic cubes. Magic cubes and squares are very popular combinatorial objects (see [2, 15, 17] and their references). A magic square is a square matrix whose entries are nonnegative integers and whose row sums, column sums...

Servedio et al. [1], following Gavrilets [2], define a magic trait as ‘a trait subject to divergent selection and a trait contributing to non-random mating that are pleiotropic expressions of the same gene(s)’. This clarified definition is certainly helpful, but we outline here several pivotal questions for empirical research, particularly surrounding the crucial concept of effect size. The eff...

PURPOSE In this work, gold nanoparticles (GNPs) were embedded in the MAGIC-f polymer gel irradiated with the 192Ir brachytherapy sources. MATERIAL AND METHODS At the first plexiglas phantom was made as the human pelvis. The GNPs were synthesized with 15 nm in diameter and 0.1 mM (0.0197 mg/ml) in concentration by using a chemical reduction method. Then, the MAGIC-f gel was synthesized. The fa...

An arc colored eulerian multidigraph with l colors is rainbow eulerian if there is an eulerian circuit in which a sequence of l colors repeats. The digraph product that refers the title was introduced by Figueroa-Centeno et al. as follows: let D be a digraph and let Γ be a family of digraphs such that V (F ) = V for every F ∈ Γ. Consider any function h : E(D) −→ Γ. Then the product D⊗hΓ is the ...

Magic illusions provide the perceptual and cognitive scientist with a toolbox of experimental manipulations and testable hypotheses about the building blocks of conscious experience. Here we studied several sleight-of-hand manipulations in the performance of the classic "Cups and Balls" magic trick (where balls appear and disappear inside upside-down opaque cups). We examined a version inspired...

Basic Idea For DOOD, especially when using bottom-up evaluation, optimization is essential. However, for advanced languages like F-logic 2, 4] the general syntactical techniques well{known from Datalog are not suucient; e.g. due to the rich structure of the language (comprising multiple inheritance, variables on class or method position, and rule{deened class hierarchy) magic-set transformation...

Background: Accurate small radiation field dosimetry is essential in modern radiotherapy techniques such as stereotactic radiosurgery (SRS) and intensity modulated radiotherapy (IMRT). Precise measurement of dosimetric parameters such as beam profile, percentage depth doses and output factor of these beams are complicated due to the electron disequilibrium and the steep dose gradients. In the p...