This paper discusses a commutative group, ring, and field under addition multiplication of the binomial coefficients in combinatorial geometric series. The series is derived from multiple summations coefficient for each term refers to coefficient. idea can enable scientific researchers solve real life problems.

the least squares harmonic estimation is applied to the hourly time-series of total electron contents (tec) derived from ionospheric models using seven years of gps observations processed by bernese software. the frequencies of dominant spectral components in the spectrum are estimated. we observe significant periodic patterns with periods of 24 h and its fractions 24h/n, n=2,…,11, which are th...

In this paper, we study the Fourier series related to higher-order Bernoulli functions and give new identities for higher-order Bernoulli functions which are derived from the Fourier series of them.

A BMO-estimation of two-dimensional Walsh-Fourier series is proved from which an almost everywhere exponential summability of quadratic partial sums of double Walsh-Fourier series is derived.

In this paper, we consider formal series associated with events, profiles derived from events, and statistical models that make predictions about events. We prove theorems about realizations for these formal series using the language and tools of Hopf algebras.

sexual health and rights indicators provide essential tools for monitoring the status of individuals’ sexual health and its rights, in various countries. this paper discusses sexual health and rights indicators in iran. the indicators under study are derived from similar indicators developed by asian-pacific resource and research center for women, for the 15th anniversary of the international c...

in this paper, a two-echelon supply chain, which includes two products based on the following considerations, has been studied and the bullwhip effect is quantified. providing a measure for bullwhip effect that enables us to analyze and reduce this phenomenon in supply chains with two products is the basic purpose of this paper. demand of products is presented by the first order vector autoregr...

keybarkuh area is located 70 km southwest of khaf, khorasan razavi province. the study area is situated in northeastern lut block. the rock units in the area are paleozoic metamorphic rocks and cretaceous to tertiary subvolcanic intrusions intruded as dike, stock and batholith; their composition varies from granite to diorite. based on magnetic susceptibility, the intrusive rocks are divided in...