Bending analysis of FGM plates under uniform and sinusoidal loaded result in forth order partial differential equation. In this paper the analytical solution is based on the extended Kantorovich iterative procedure. The differential equations for the iterative procedure is derived using the Galerkin method. The solution was develope based on the classical plate’s theory (CLPT). The reliability ...

in this paper we describe how the degrees of the irreducible characters of the affine subgroups of the classical groups under consideration can be found inductively. in [4] gow obtained certain character degrees for all of the affine subgroups of the classical groups. we apply the method of fischer to the above groups and, in addition to the character degrees given in [4], we obtain some new ch...

In many physical problems it is not possible to find an exact solution. However, when some parameter in the problem is small, one can obtain an approximate solution by expanding in this parameter. This is the basis of perturbative methods, which have been applied and developed practically in all areas of Physics. Unfortunately many interesting problems in Physics are of non-perturbative nature ...

: world population has been continuously raised and therefore due to this fact new source of foods, particularly proteins, are in demand. in recent years, single cell protein has been considered as an accepted substitute for animal and plant proteins. in this study, single cell protein production was studied in a batch submerged culture using aspergillus niger ptcc5012. experimental design was ...

A method named "bag culture" was developed for coculturing of Linum persicum (section Syllinum) and L. austriacum (section Linum) hairy roots. For this propose L. austriacum and L. persicum hairy root cultures were established using Agrobacterium rhizogenes in McCown medium. L. persicum hairy roots in bags (1 mm2 mesh) were successfully grown together with L. austriacum hairy roots. The amounts...

We develop a tensor network technique that can solve universal reversible classical computational problems, formulated as vertex models on a square lattice [Nat. Commun. 8, 15303 (2017)]. By encoding the truth table of each vertex constraint in a tensor, the total number of solutions compatible with partial inputs/outputs at the boundary can be represented as the full contraction of a tensor ne...

One of the oldest methods for computing an eigenvector of a matrix F is based on the solution of a set of homogeneous equations which can be traced back to the times of Cauchy The principal di culty of this approach was identi ed by Wilkinson We remove this obstacle and analyse the viability of this classical method The key to the analysis is provided by the reciprocals of the diagonal elements...