A theoretical study of the structural, elastic, and mechanical properties of B19 TiAl intermetallic compound with orthorhombic structure has been carried out by using ab initio density functional theory calculations based on the projector augmented wave and the generalized gradient approximation. The optimized structure parameters are found to be in agreement with the available experimental dat...

With the recent advancements in digital technology, three-dimensional (3-D) shape measurement has played an increasingly important role in fields including manufacturing, homeland security, medical sciences, and entertainment. Over the past decades, numerous 3D shape measurement techniques have been developed. Among these existing techniques, fringe analysis based on phase-shifting sinusoidal s...

In line with the fast advance seen in technology, the use of technological resources in education has come to play an important role in terms of drawing students’ attention to the subjects studied in the classroom so that success increases and the knowledge is better internalized. This study was carried out to determine the attitudes of the pre-service teachers from the department of elementary...

Sampling MiT defined in Park,' Hock,2 and de Luca,3 as an x and y sampling, can be generalized for image data not along x and y directions. For a given sampling lattice (such as in a laser printer, a scene projector, or a focal plane array), we construct a two-dimensional sampling MiT based on the distance between nearest samples in each direction. Because the intersample distance depends on di...

The concept of a hypergeneralized projector as a matrix H satisfying H = H†, where H† denotes the Moore–Penrose inverse of H, was introduced by Groß and Trenkler in [Generalized and hypergeneralized projectors, Linear Algebra Appl. 264 (1997) 463-474]. Generalizing substantially some preliminary observations given therein, Baksalary et al. in [On some linear combinations of hypergeneralized pro...

We have studied an alumina/zirconia interface using the all-electron projector augmented wave formalism within density functional theory. We present the electronic, structural, and energetic properties of the ZrO2(001)/a-Al2O3(11̄02) interface as well as of the free a-Al2O3(11̄02) and ZrO2(001) surfaces. We find that the generalized gradient correction significantly lowers the oxide surface energ...

An algorithm is proposed for the structural optimization of periodic systems in internal (chemical) coordinates. Internal coordinates may include in addition to the usual bond lengths, bond angles, out-of-plane and dihedral angles, various "lattice internal coordinates" such as cell edge lengths, cell angles, cell volume, etc. The coordinate transformations between Cartesian (or fractional) and...