spherical Bessel function complex ware number in the region a < r < b mass local unit normal vector hydrostatic pressure in the region a < r < b pressure in the region a < r < b real constant radial coordinate in spherical coordinates position vector time physical component of the radial velocity in the region a < r < b physical component of the tangential velocity in the region a < r < b veloc...

Sparse linear arrays, such as co-prime arrays and nested arrays, have the attractive capability of providing enhanced degrees of freedom. By exploiting the coarray structure, an augmented sample covariance matrix can be constructed and MUSIC (MUtiple SIgnal Classification) can be applied to identify more sources than the number of sensors. While such a MUSIC algorithm works quite well, its perf...

Thermal residual stresses exist within a body in the absence of external loading or thermal gradients. Processing of the composites often involves cooling from higher temperature resulting in thermal residual stresses in the matrix due to restraint imposed by reinforcements. Thermal residual stresses determinately affect the properties of materials thereby shortening their lifetime. These resid...

background and aims: newcastle disease virus (ndv) is an avian paramyxovirus (a-pmv 1) and one of the major pathogens in poultries. vaccination is intended to control the disease, nevertheless this virus is a growing threat to the poultry industry. so, early detection of the virus can prevent the spread of illness and avoid huge economic losses. towards this goal, in this research, we developed...

In this paper, the notion of rank−k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated. Moreover, for > 0, the notion of Birkhoff-James approximate orthogonality sets for −higher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed definitions yield a natural general...

Tikhonov regularization is one of the most popular approaches to solving linear discrete ill-posed problems. The choice of regularization matrix may significantly affect the quality of the computed solution. When the regularization matrix is the identity, iterated Tikhonov regularization can yield computed approximate solutions of higher quality than (standard) Tikhonov regularization. This pap...

We consider a certain decomposition of the matrix algebra Mn(F ), where F is a field. The commutation relations of that decomposition yield an n × n matrix Mn , which determines the multilinear polynomial identities of Mn(F ). Thus if char(F ) = 0, the matrix Mn ) determines the polynomial identities of Mn(F ). We show that M Mn(F ) is very close to the tensor product of two n × n Vandermonde m...

We introduce improved model for sparseness constrained nonnegative matrix factorization (sNMF) of amplitude mixtures nuclear magnetic resonance (NMR) spectra into greater number of component spectra. In proposed method selected sNMF algorithm is applied to the square of the amplitude of the mixtures NMR spectra instead to the amplitude spectra itself. Afterwards, the square roots of separated s...