in this work we deal with the question: how can one improve the approximation level for some nonlinear integral equations? good candidates for this aim are semi orthogonal b-spline scaling functions and their duals. although there are different works in this area, only b-spline of degree at most 2 are used for this approximation. here we compute b-spline scaling functions of degree 4 and their ...

Abstract. A general model for pair formation in age, sex, and sociologically structured interacting human communities is presented. More precisely, the religion factor is taken into account. The model describes dynamics of interacting religions which tolerate both uniconfessional pairs and those with different religions. Two particular models are analyzed. One of them describes the uniconfessio...

John Hick has used revolutionary metaphors in recommending his pluralistic philosophy of religions. To turn from a focus on the particulars of one’s home religion to a focus on the universally available Real is, he famously says, a Copernican “revolution” in religious thought. Hick says that those religious adherents who abandon the traditional positions of exclusivism or inclusivism, positions...

first riccati equation with matrix variable coefficients, arising in optimal and robust control approach, is considered. an analytical approximation of the solution of nonlinear differential riccati equation is investigated using the adomian decomposition method. an application in optimal control is presented. the solution in different order of approximations and different methods of approximat...

We can foster collaboration between the academic study of religion and the sciences, particularly the biological and psychological sciences, if we (1) construct a common object of study that can be positioned within an evolutionary paradigm, (2) adopt a building block approach to the study of religion that distinguishes between religions and the more elementary phenomena that comprise them, and...