Exceptional point and spectral singularity are two types of that unique to non-Hermitian systems. Here, we report the high-order as a pole scattering matrix for system, is unification exceptional singularity. At singularity, coefficients have divergence system stimulates lasing. The wave emission intensity polynomially enhanced, order growth in polynomial linearly scales with Furthermore, coher...

in this paper, we present legendre wavelet method to obtain numerical solution of a singular integro-differential equation. the singularity is assumed to be of the cauchy type. the numerical results obtained by the present method compare favorably with those obtained by various galerkin methods earlier in the literature.

Abstract Quantum fields do not satisfy the pointwise energy conditions that are assumed in original singularity theorems of Penrose and Hawking. Accordingly, semiclassical quantum gravity lies outside their scope. Although a number have been derived under weakened conditions, none is directly from field theory. Here, we employ inequality satisfied by quantized minimally coupled linear scalar to...

The concept of technological singularity is very popular in both science and culture. However, this paper I will argue that not sound; there a severe contradiction the mainstream Turingian approach because it neglects our evolutionary origin, which machines utterly lack, lets so rise creatures into science—which, fact, just new version most fundamental origin-story, rebellion Adam Eve against G...

The problem of obtaining network coding maps for the physical layer network coded two-way relay channel is considered, using the denoise-and-forward forward protocol. It is known that network coding maps used at the relay node which ensure unique decodability at the end nodes form Latin Squares. Also, it is known that minimum distance of the effective constellation at the relay node becomes zer...