We propose a coupled-mode theory for resonant diffraction gratings with varying period. consider diffractive structures, in which the reciprocal lattice vector, quantity inversely proportional to period, varies linearly direction of periodicity. It is shown that optical properties such structure essentially depend on period change rate. On basis comparison results rigorous numerical simulations...

the cracked brazilian disc (cbd) specimen is widely used in order to determine mode-i/ii and mixed-mode fracture toughness of a rock medium. in this study, the stress intensity factor (sif) on the crack-tip in this specimen is calculated for various geometrical crack conditions using the extended-finite element method (x-fem). this method is based upon the finite element method (fem). in this m...

In this article, the sliding mode control of frequency load control of power systems is studied. The study areaconsists of a system of water and heat. First, a mathematical model of the proposed system disturbances ismade and then sliding control mode for frequency load control is provided. By the system simulation andsliding mode control, it can be shown that the damping of oscillations is wel...

We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic...

The adverb ”then” is among the most frequent English temporal adverbs, being also capable of filling a variety of semantic roles. The identification of anaphoric usages of ”then” is important for temporal expression resolution, while the temporal relationship usage is important for event ordering. Given that previous work has not tackled the identification and temporal resolution of anaphoric ”...