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.

In this paper, we focus on the study of shearlet transform which isdened by using the hyperbolic functions. As a result we check an admissibilitycondition such that implies the reconstruction formula. To this end, we will usethe concept of the classical shearlet, which indicates the position and directionof a singularity.

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...

High-dimensional classification has challenges mainly due to the singularity issue of sample covariance matrix. In this work, we propose a different approach get more reliable matrix by adjusting estimated eigenvalues. This procedure also brings us nonsingular as by-product. We improve optimization obtain linear classifier incorporating adjusted and shrinkage mean vector into original problem. ...

Abstracts of the 5th InaPrevent in Conjunction with 1st InTension Summit, 25-27 June 2021

We classified and studied the charged black hole wormhole solutions in Einstein–Maxwell system presence of a massless, real scalar field. The possible existence holes general scalar–tensor theories was Bronnikov et al., 1999; wormholes exist for negative kinetic term Using conformal transformation, static, spherically symmetric structures minimal coupled are described. Besides naked singulariti...