Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation...

in recent years, seismic evaluation and vulnerability of the existing buildings, that have been designed based on an earlier seismic design code or designed without seismic design criteria, has been very important. in this paper, the seismic evaluation and vulnerability of concrete buildings, using an old 5- story building with shear walls as an example has been discussed. for this building, fi...

In this paper, we study a geometric G^2 Hermite interpolation by planar rational cubic Bézier curves. Two data points, two tangent vectors and two signed curvatures interpolated per each rational segment. We give the necessary and the sufficient intrinsic geometric conditions for two C^2 parametric curves to be connected with G2 continuity. Locally, the free parameters w...

This study investigates geometrical non-linear analysis of composite circular cylindrical shells under external pressure over part of their surfaces and also shells subjected to combined axial compression and triangular external pressure. Donnell non-linear shell theory along with first order shear deformation theory (FOSD) are adopted in the analysis. In the case of combined axial compression ...

single-valence electron atoms are an important class of atoms. their oscillator strengths are their important properties. knowing the oscillator strengths one can easity calculate the transition probabilities of the spectral lines and hence the lifetimes of energy levels of most atoms. the oscillator strengths of the spectral lines of most atoms are not knoen with sufficient accuracy due to the...

a knowledge of rainfall distribution over a finite area is needed for small bydraulic structures design. hydrologists have always been concerned about depth- area- duration (dad) for a specific storm in a watershed. an intense storm occurred on june 6, 1992 which claimed some lives in parts of mashhad, khorasan province, iran. data of rainfall depth at 29 raingauge stations around the city and ...