— Let x1, x2, . . . , xn be the zeroes of a polynomial P (x) of degree n and y1, y2, . . . , ym be the zeroes of another polynomial Q(y) of degree m. Our object of study is the permanent per(1/(xi − yj))1≤i≤n,1≤j≤m, here named “Scott-type” permanent, the case of P (x) = x − 1 and Q(y) = y + 1 having been considered by R. F. Scott. We present an efficient approach to determining explicit evaluat...

The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the asymptotic spectral distribution square matrices An arising from discretization differential problems. Indeed, as mesh fineness parameter n increases to ∞, sequence {An}n often turns out be GLT sequence. In this paper, motivated by recent applications, we further enhance developing full rectan...

Rectangular waveguide is one of the earliest types of transmission lines. Rectangular waveguide can be produced by hot extrusion process. In this paper, the hot extrusion process of CuZn5 rectangular waveguide was investigated by Finite Element Method (FEM). In addition, Genetic Algorithm (GA) was used to optimize the die geometry and process conditions to achieve the lowest magnitude of extrus...

In this research, mechanical buckling of rectangular plates of functionally graded materials (FGMs) is considered. Equilibrium and stability equations of a FGM rectangular plate under uniform in-plane compression are derived. For isotropic materials, convergent buckling loads have been presented for non-uniformly compressed rectangular plates based on a rigorous superposition fourier solution f...