# AN ALTERNATIVE APPROACH OF GREEDY SUMMATION APPLIED TO NUMBERS AND ARRAYS: THEORITICAL IMPLEMENTATION

#### Authors:

AnsamGhazi Nsaif ALBU_Amer,

#### DOI NO:

https://doi.org/10.26782/jmcms.2018.12.00019

#### Keywords:

Numbers,Arrays,unordered sum,Numerical arrays,Greedy sum of numbers,Greedy sum of arrays,convergence of series,Dirichlet series of array,

#### Abstract

Mathematical treatment for numbers and arrays in the field of functional analysis need special interest. In the present paper, we will focus on a new alternative approach of greedy summation approach of unordered numbers and arrays. A theoretical background is firstly presentedregarding the numbers and arrays and their importance in the field of functional analysis, then the alternative approach for the greedy summation based on absolute values is presented. Some theoretical proofs regarding the relation between theoretical greedy summation and the Dirichlet series is presented in brief details. At the end of the present paper, some important conclusions are listed due to their importance and their effect for the upcoming research works.

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Author(s): Ansam Ghazi Nsaif ALBU_Amer