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...

The main result of this paper is as follows: Let G be a graph and m a positive integer such that (i) |V (G)| ≥ 4m+1, (ii) δ(G) ≥ |V (G)| 2 +1. For any subset {e1, . . . , em+1} of E(G), the graph G − {e1, . . . , em} possesses a 2-factor containing em+1. The above Theorem also yields a Dirac type sufficient condition for a graph to be magic. All graphs considered are assumed to be simple and fi...

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...

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...

MAGIC-web is the first web server, to the best of our knowledge, that performs both untargeted and targeted analyses of mass spectrometry-based glycoproteomics data for site-specific N-linked glycoprotein identification. The first two modules, MAGIC and MAGIC+, are designed for untargeted and targeted analysis, respectively. MAGIC is implemented with our previously proposed novel Y1-ion pattern...

Magic squares have turned up throughout history, some in a mathematical context, others in philosophical or religious contexts. According to legend, the first magic square was discovered in China by an unknown mathematician sometime before the first century A.D. It was a magic square of order three thought to have appeared on the back of a turtle emerging from a river. Other magic squares surfa...

<p>Among the most studied graph labelings we have varieties called alpha and edge-magic. Even when their definitions seem completely different, these are related. A graceful labeling of a bipartite is an α-labeling if smaller labels assigned to vertices same stable set. An edge-magic size <em>n</em> said be <em>b</em>-edge consecutive its edges labeled with integer...