functions of order statistics. In 1818, Laplace obtained (essentially) the distribution of therth-order statistic in random samples and also derived a condition on the parent density under which the median is asymptotically more efficient than the mean. Other topics considered are of more recent ...
-number or by Ezadi et al. (2018) using sigmoid functions. Other proposals are based on the use of Generalized Fuzzy Numbers (GFNs) instead of couples of fuzzy numbers (Chutia2021; Jiang et al.2017). Thus, Chutia (2021) ranking method is based on the use of the value and ambiguity...
The quadrature discretization method in the solution of the Fokker–Planck equation with nonclassical basis functions Fokker–Planck equations are used extensively to study a variety of problems in nonequilibrium statistical mechanics. A discretization method referred to a... BD Shizgal,H Chen - 《Jo...
we study the shape and the period of the perturbed periodic orbits.First a second order studies are given for concrete planar vector fields.Same technique apply simultaneously to Abel equations and planar vector fields.The computations share the same integrals of rational trigonometric functions.Isochron...
Higher-order topological Kuramoto model of topological signals of a given dimension Let us consider a simplicial complex \({\mathcal{K}}\) formed by N[n] simplices of dimension n, i.e., N[0] nodes, N[1] links, N[2] triangles, and so on. In order to define the higher-order syn...
Taking advantages of its differentiation capability, when this chip is incorporated into conventional imaging systems as a substrate, it enhances the edges of features in optical amplitude and phase images, thus expanding the functions of standard microscopes. This planar chip offers the advantages of ...
Differential cross sections for prompt \chi _{c1} (upper panels) and \chi _{c2} (lower panels) production in pp collisions at \sqrt{s} = 7 TeV as functions of the \chi _{c} transverse momentum. The kinematic cuts are described in the text. The ATLAS data are taken from [97] Full...
Sufficient conditions are obtained to ensure starlikeness of positive order for analytic functions defined in the open unit disk satisfying certain third-order differential inequalities. As a consequence, conditions for starlikeness of functions defined by integral operators are obtained. Connections are al...
Allowing the use of discontinuous approximating functions on arbitrary shape of polygons/polyhedra makes the method highly flexible in practical computation. Optimal order error estimates in both discrete $H^1$ and $L^2$ norms are established for the corresponding weak Galerkin mixed finite element ...
The mathematical foundation of quantum mechanics is built on linear algebra, while the application of nonlinear operators can lead to outstanding discoveries under some circumstances, such as the prediction of positron, a direct outcome of the Dirac equation which stems from the square-root of the ...