For an even Dirichlet character , we obtain a formula for L(1;) in terms of a sum of Dirichlet L-series evaluated at s = 2 and s = 3 and a rapidly convergent numerical series involving the central binomial coeecients. We then derive a class number formula for real quadratic number elds by taking L(s;) to be the quadratic L-series associated with these elds.

We consider the fractionally integrated ARFIMA Processes with seasonality s, denoted by SARFIMA(0, D, 0)s. This work presents a closed formula for the Durbin-Levinson’s algorithm relating the partial autocorrelation and the autocorrelation functions of these processes. In order to obtain the closed formula we show a hypergeometric identity, namely

Using ergodic theory, in this paper we present a Gel’fand-type spectral radius formula which states that the joint spectral radius is equal to the generalized spectral radius for a matrix multiplicative semigroup S restricted to a subset that need not carry the algebraic structure of S. This generalizes the Berger-Wang formula. Using it as a tool, we study the absolute exponential stability of ...

The transport and magnetic properties of the tetragonal Fe[Formula: see text]S were investigated using magnetoresistivity and magnetization within [Formula: see text] K, [Formula: see text] 70 kOe and [Formula: see text] 3.0 GPa. In addition, room-temperature x-ray diffraction and photoelectron spectroscopy were also applied. In contrast to previously reported nonmetallic character, Fe[Formula:...

in this work, mn ferrite nanopowders were prepared by co-precipitation method and were characterized. phase identification of the nanopowders was performed by x-ray diffraction method and the mean particle size of the nanopowders was calculated by scherrer's formula, using necessary corrections. magnetic parameters of the prepared nanopowders were measured by a vibrating sample magnetomete...

The complexity of Iterated Matrix Multiplication is a central theme in Computational Complexity theory, as the problem is closely related to the problem of separating various complexity classes within P. In this paper, we study the algebraic formula complexity of multiplying d many 2×2 matrices, denoted IMMd, and show that the well-known divide-andconquer algorithm cannot be significantly impro...

the most precise and simple method of evaporation measurement is application of pans in which class a pan is used in iran. in contrast, there are many empirical methods which are used for estimating the evapotraspiration. in this study, thornthwaite method was used due to the simplicity of its parameters and then we tried to use it for evaluating evapotranspiration by changing it's paramet...

Several deenitions of universality of an n-point quadrature formula Q n are discussed. Universality means that Q n is able to compete with the respective optimal formula in many classes of functions. It is proved in a certain sense that the Gaus-sian quadrature formula satisses such a universality criterion. The underlying classes of functions are In each of these classes, we loose at most the ...

the present research studies how material and non-material factors could attract people to work in public and private sectors. the study focuses on the effect of financial incentives on better performance in the workplace, as well as the importance of wages, job security, authority, and job satisfaction in both the public and the private sectors. research subjects are all public and private sec...