Graphene is determined by a wonderful carrier transport property and high sensitivityat the surface of a single molecule, making them great as resources used in Nano electronic use.TGN is modeled in form of three honeycomb lattices with pairs of in-equivalent sites as {A1, B1},{A2, B2}, and {A3, B3} which are located in the top, center and bottom layers, respectively. Trilayer...

A cube design of order v, or a CUBE(v), is a decomposition of all cyclicly oriented quadruples of a v-set into oriented cubes. A CUBE(v) design is unoriented if its cubes can be paired so that the cubes in each pair are related by reflection through the center. A cube design is degenerate if it has repeated points on one of its cubes, otherwise it is nondegenerate. We show that a nondegenerate ...

We study a diffusion regime, earlier considered by Gurvich, Mandelbaum, Shaikhet and Whitt in the case of the M/M/N queue, that is, in a sense that we make precise, a midpoint between two well-known heavy traffic diffusion regimes, the conventional and the quality and efficiency driven regimes. Unlike the other two, this regime, that we call the non-degenerate slowdown regime, enjoys the proper...

We show that it is NP-Complete to decide whether a bimatrix game is degenerate and it is Co-NP-Complete to decide whether a bimatrix game is nondegenerate.

We connected the two ends of a finite spin-1/2 antiferromagnetic Ising chain with magnetic impurity at one end to form closed ring, and studied its susceptibility exactly by using transfer matrix method. calculated in whole temperature range gave phase diagram ground state system about anisotropy strength connection exchange interaction for spin-1 -3/2 impurities. also entropy derived asymptoti...

Two-photon absorption (2PA) spectra with pairs of extremely nondegenerate photons are measured in several direct-gap semiconductors (GaAs, CdTe, ZnO, ZnS and ZnSe) using picosecond or femtosecond pulses. In ZnSe, using photons with a ratio of energies of ~12, we obtain a 270-fold enhancement of 2PA when comparing to the corresponding degenerate 2PA coefficient at the average photon energy (ηω1 ...

We consider planar and spatial autonomous Newtonian systems with Coriolis forces study the existence of branches periodic orbits emanating from equilibria. investigate both degenerate nondegenerate situations. While Lyapunov's center theorem applies locally in nondegenerate, nonresonant context, our result provides a global answer which is significant also some cases. apply abstract results to ...

Methods for identifying isolates of various pathogenic bacteria by DNA fingerprinting with random primers (RAPD) have been described recently. In these methods many primers are screened and the primers that generate the most informative DNA pattern are selected. A new strategy that simplifies the primer selection process for RAPD fingerprinting has been developed in our laboratory. In this appr...

We introduce a formal decomposition method for efficiently computing the parametric normal form of nonlinear dynamical systems with multiple parameters. Recently introduced notions of formal basis style and costyle are applied through formal decomposition method to obtain the simplest parametric normal form for degenerate nonlinear parametric center. The necessary formulas are derived and imple...