Abstract: This paper shows the mathematical analysis involved in the derivation of a unified formula for position change of entities in power inductive distributions of Kola analysis. This paper proved that in power inductive distributions of distributive regeneration of ordered system, where the total number of ordered entities [n(E)] could be expressed in exponential form of Ca, and where C is the number of columns with each column having the same number of entities, the mathematical formula connecting the horizontal position ranking value [Phdx] of an entity at distribution (x) and the vertical position ranking value [Pvd(x+1)] of the same entity at distribution (x + 1) obeys a rectilinear equation.