a pair of degenerate primers, gmpf1 and gmpr1, was designed on the basis of alignment of previously reported grapevine fanleaf virus (gflv) movement protein (mp) nucleotide sequences from iran and other parts of the world. cdna was synthesized by the use of oligo d(t)18 from total rna extraction from each diseased grapevine leaf sample and subjected to polymerase chain reaction (pcr) with the d...

In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz- Minkowski space $mathbb{L}^{3}$. As a result, we classify translation surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form $III$ on the surface.

Quantum cascaded up-conversion (CUpC) of parametric down conversion (PDC) in a finite nonlinear $\chi^{(2)}$-crystal is studied theoretically within approximation. The exact solution for creation and annihilation operators presented the form Bogoliubov transformation valid high-gain regime explicitly includes non-zero wavevector-mismatch both PDC CUpC. With use characteristic equation amplifica...

Mixed functions are analytic functions in variables z1, . . . , zn and their conjugates z̄1, . . . , z̄n. We introduce the notion of Newton nondegeneracy for mixed functions and develop a basic tool for the study of mixed hypersurface singularities. We show the existence of a canonical resolution of the singularity, and the existence of the Milnor fibration under the strong non-degeneracy condition.

General non-degenerate p-adic operators of ultrametric diffusion are introduced. Bases of eigenvectors for the introduced operators are constructed and the corresponding eigenvalues are computed. Properties of the corresponding dynamics (i.e. of the ultrametric diffusion) are investigated.

We give a combinatorial criterion for a critical diameter to be compatible with a nondegenerate quadratic lamination.

Intervertebral disc (IVD) cells derived from degenerate tissue respond aberrantly to mechanical stimuli, potentially due to altered mechanotransduction pathways. Elucidation of the altered, or alternative, mechanotransduction pathways operating with degeneration could yield novel targets for the treatment of IVD disease. Our aim here was to investigate the involvement of RGD-recognising integri...