Friction stir welding (FSW) is a promising technique to join aluminum alloys without having problems encountered during fusion welding processes. In the present work, the evolution of microstructure and texture in friction stir welded thin AA2024 aluminum alloy are examined by electron backscattered diffraction (EBSD) technique. The sheets with 0.8 mm thickness were successfully welded by frict...

The Rubik’s Cube is a familiar toy that has embedded itself into popular culture since its invention in 1974 by Ernő Rubik. It is especially popular among mathematicians, for good reason. In this paper, we will investigate some of the interesting mathematical structure underlying the Rubik’s Cube, which was documented by David Joyner in his book, Adventures in Group Theory [Joy]. Let us conside...

Vertices and symmetries of regular and irregular chiral polyhedra are represented by quaternions with the use of Coxeter graphs. A new technique is introduced to construct the chiral Archimedean solids, the snub cube and snub dodecahedron together with their dual Catalan solids, pentagonal icositetrahedron and pentagonal hexecontahedron. Starting with the proper subgroups of the Coxeter groups ...

Data Cube is an effective technique for data mining. Because of the complex relationships among aggregation values of a data cube, designing an efficient method or tool to visualize the complex relationships becomes a challenging work in the data cube technique. Information visualization with computer graphics can help improving this process. Recently, we developed a Web-based interactive data ...

A bstract. We give miscellaneous constructions for I-rotational (4q+l,5,?\)-BIBD's, being q an odd prime power, investigating their possible resolvability whenever q (mod 10). Concerning Steiner 2-designs, the strongest result that we obtain, is the explicit construction of a I-rotational (4q+l,5,1)-BIBD (with a multiplier of order 5) for each prime q == 1 (mod 30) such that (11 + 5-[5) /2 is n...

The Fourier Transform (FTIR) microspectrometer discussed in this paper is an example of a complex Micro-OptoElectro-Mechanical System (MOEMS) configured as an optical bench on a chip. It is an important benchmark application for microtechnology due to increased demands for the use of miniature wavelength detection instruments in bio, nano and material science. This device can be manufactured us...

In an effort to understand the low temperature behavior of recently synthesized molecular magnets we present numerical evidence for the existence of a rotational band in systems of quantum spins interacting with nearest-neighbor antiferromagnetic Heisenberg exchange. While this result has previously been noted for ring arrays with an even number of spin sites, we find that it also applies for r...

The Fourier Transform (FTIR) microspectrometer discussed in this paper is an example of a complex Micro-OptoElectro-Mechanical System (MOEMS) configured as an optical bench on a chip. It is an important benchmark application for microtechnology due to increased demands for the use of miniature wavelength detection instruments in bio, nano and material science. This device can be manufactured us...

Data cubes, first developed in the context of on-line analytic processing (OLAP) applications for databases, have become increasingly widespread as a means of structuring data aggregations in other contexts. For example, increasing levels of aggregation in a data cube can be used to impose a hierarchical structure—often referred to as roll-ups—on sets of crosscategorized values, producing a sum...