The article shows how two choices are possible whenever computing the geometric mean, and repetition of this process can in general yield 2-to-the power N different values when compounded first steps evaluation arithmetic-geometric mean. This happens not only simple AGM involved computation complete elliptic integral kind, but also analogous methods for incomplete integrals second kind.

We present quadratic convergent algorithms for the computation of standard interval functions like √ , ln, arctan in a multiple-precision interval arithmetic. These algorithms depend on elliptic integrals of the first and second kind and the method of arithmetic and geometric means. Представлены квадратично сходящиеся алгоритмы для вычисления стан-дартных интервальных функций, таких как √ , ln,...

This paper proposes arithmetic and geometric Paasche quality-adjusted price indexes that combine micro data from the base period with macro data on the averages of asset prices and characteristics at the index period. The suggested index has two types of advantages relative to traditional Paasche indexes: (i) simplification and cost reduction of data acquisition and manipulation; and (ii) poten...

In this paper, we investigate the means of the values of prime counting function $pi(x)$. First, we compute the arithmetic, the geometric, and the harmonic means of the values of this function, and then we study the limit value of the ratio of them.

Fullerene is a cage-like carbon allotrope admitting vast range of applications. Some the important fullerenes are C54,C58,C60,C70,C74,C76,C78,C80C82,C84,C86,C90. The physical properties can be exhibited using degree-based topological indices. sum based geometric arithmetic index significant in this manner. atomic bond connectivity, Randic, first and second Zagreb indices well known We have dete...

In the research of QSAR and QSPR correlations, topological indices such as Randi’c index, Zagreb ABC geometric-arithmetic index have been proposed to analyze bio-compatibility chemical compounds. Chemical graph theory is combination Chemistry Graph theory, this deals with topology mathematical study isomerism development which has applications in QSPR. article, we consider Octahedron networks f...