Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Aim of this article is to find the maximum and minimum solution of the fuzzy neutrosophic soft relational equations xA=b and Ax=b, where x and b are fuzzy neutrosophic soft vector and A is a fuzzy neutrosophic soft matrix. Wheneve...

Parathyroid hormone (PTH) is a potent pharmacologic inducer of new bone formation, but no physiologic anabolic effect of PTH on adult bone has been described. We investigated the role of PTH in fetal skeletal development by comparing newborn mice lacking either PTH, PTH-related peptide (PTHrP), or both peptides. PTH-deficient mice were dysmorphic but viable, whereas mice lacking PTHrP died at b...

In this note, we derive non trivial sharp bounds related to the weighted harmonicgeometric-arithmetic means inequalities, when two out of the three terms are known. As application, we give an explicit bound for the trace of the inverse of a symmetric positive definite matrix and an inequality related to the coefficients of polynomials with positive roots. Mathematics subject classification (201...

in this paper, an iterative method is proposed for solving the matrix inverse problem $ax=b$ for hermitian-generalized hamiltonian matrices with a submatrix constraint. by this iterative method, for any initial matrix $a_0$, a solution $a^*$ can be obtained in finite iteration steps in the absence of roundoff errors, and the solution with least norm can be obtained by choosing a special kind of...

in this paper we study the impact of minkowski metric matrix on a projection in theminkowski space m along with their basic algebraic and geometric properties.the relationbetween the m-projections and the minkowski inverse of a matrix a in the minkowski spacemis derived. in the remaining portion commutativity of minkowski inverse in minkowski spacem is analyzed in terms of m-projections as an a...

Let (X, (B, m) denote the measure space consisting of the unit interval with Lebesgue measure. We let 3 denote the class of measurable nonsingular invertible transformations mapping X onto X. Given tG3, <r commutes with r if <r(?-(x)) =r(a(x)) for a.e. xGA and a is a pth root of r if ap(x) =r(x) for a.e. xEX. If a is a root of r then a commutes with r, hence it is of interest to find what prope...

a mathematical modelling for more-winding single-phase transformer is presented. the incidence matrix-which gives the informations about the connection of the ends of the windings between the nodes-is multiplied leftside and rightside with the inverse of the inductance matrix of the more winding transformer. the result is a matrix which gives the relationship between nodes potentials and nodes ...

Inverse square roots are used in several digital signal processing, multimedia, and scientific computing applications. This paper presents a high-speed method for computing inverse square roots. This method uses a table lookup, operand modification, and multiplication to obtain an initial approximation to the inverse square root. This is followed by a modified Newton-Raphson iteration, consisti...

In this paper we give bounds for the error arising in the approximation of the logarithm of a block triangular matrix T by Padé approximants of the function f (x)= log[(1 + x)/(1 − x)] and partial sums of Gregory’s series. These bounds show that if the norm of all diagonal blocks of the Cayley-transform B = (T − I )(T + I )−1 is sufficiently close to zero, then both approximation methods are ac...