Quadratic Distribution Patterns in Kola Analysis

Abstract

Different sets of ordered system in Kola Analysis of distributive regeneration of ordered system, comprising entities that are grouped into two or more columns and rows in simple dimension, when made to undergo Logico-Sequential Distribution, the Regenerative Distribution Numbers (t) of some of these different sets of ordered system obey quadratic distribution patterns. This paper shows the steps involved in the derivation of the quadratic equations governing the sets of ordered system that exhibit quadratic distribution patterns in Kola Analysis of distributive regeneration of ordered system. For an example, an ordered system where the total number of entities [n (E)] could be expressed in terms of the product of the odd number of columns [C_o] and number of rows [C_o – 2] with each column comprising the same number of entities, the mathematical formula connecting its arrangement and its even Regenerative Distribution Number (t_e) is given as: n (E) = C_o [C_o – 2] = [t_e] ² – 1

Keywords: Distributive regeneration of ordered system, Kola Analysis, Logico-sequential distribution, Quadratic distribution patterns, Regenerative distribution number.