The Taylor expansion [19] is used in many applications for a value estimation of scalar functions one or two variables the neighbour point. Usually, only first elements are used, i.e. given point and derivatives estimation. can be also vector functions, too. usual formulae well known, but if second element expansion, with to mathematical formulations getting too complex efficient programming, a...

A new, generalized, multivariate dimension-reduction method is presented for calculating statistical moments of the response of mechanical systems subject to uncertainties in loads, material properties, and geometry. The method involves an additive decomposition of an N -dimensional response function into at most S-dimensional functions, where S>N ; an approximation of response moments by momen...

In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied a...

In this research, a numerical method by piecewise approximated method for solving fuzzy differential equations is introduced. In this method, the solution by piecewise fuzzy polynomial is present. The base of this method is using fuzzy Taylor expansion on initial value of fuzzy differential equations. The existence, uniqueness and convergence of the approximate solution are investigated. To sho...

Thermodynamics of two-flavor QCD at finite temperature and density is studied on a 163 ×4 lattice, using a renormalization group improved gauge action and the clover improved Wilson quark action. In the simulations along lines of constant mPS/mV, we calculate the Taylor expansion coefficients of the heavy-quark free energy with respect to the quark chemical potential (μq) up to the second order...