The main purpose of this paper is the construction of explicit Gauss-Turán quadrature formulas: they are relative to some classes of weight functions, which have the peculiarity that the corresponding s-orthogonal polynomials, of the same degree, are independent of s. These weights too are introduced and discussed here. Moreover, highest-precision quadratures for evaluating Fourier-Chebyshev co...

Interactions are explored through the observation of the dynamics of particles. On the classical level the basic underlying assumption in that scheme is that Newton's second law holds. Relaxing the validity of this axiom by, e.g., allowing for higher order time derivatives in the equations of motion would allow for a more general structure of interactions. We derive the structure of interaction...

Background: Date (Phoenix dactylifera L.) is one of the most important agricultural crops in Iran. This study was carried out to determine the possibility of using date paste for manufacturing a new ready-to-eat food product. Methods: Various formulations were prepared by mixing Mazafati date paste, bread, oil (animal and olive), nuts and spices but only six formulas were chosen according to s...

We revisit the problem of extending quadrature formulas for general weight functions, and provide a generalization of Patterson’s method for the constant weight function. The method can be used to compute a nested sequence of quadrature formulas for integration with respect to any continuous probability measure on the real line with finite moments. The advantages of the method include that it w...

Introduction: The human skin is an active medium from the optical point of view. Therefore, the diagnostic and therapeutic techniques employing light are increasing. Current optical techniques are based on the measurement of the intensity of reflected absorbed or backscattered light from or within skin. Studies have shown that biological tissues, and in particular skin, demonstrate polarization...

conversations contain spontaneous use of routine formulas which lets speaker sinteract with each other to express opinions. gambits, as one of these formulas, act as an opening remark and help speakers to maintain the smooth flow of an everyday conversation. the lack of mastery of using gambits in maintaining the conversation leads to breakdowns in speaking. this paper aimedat comparingthe use ...

we find recursive formulae for the number of perfect matchings in a graph g by splitting g into subgraphs h and q. we use these formulas to count perfect matching of p hypercube qn. we also apply our formulas to prove that the number of perfect matching in an edge-transitive graph is , where denotes the number of perfect matchings in g, is the graph constructed from by deleting edges with an en...