Numerical Solutions of the Work Done on Finite Order-Preserving Injective Partial Transformation Semigroup

Abstract

In this research work, we have used an effective methodology to obtain formulas for calculating the total work done and consequently the average work done and the power of the transformation by elements of finite order-preserving injective partial transformation semigroup. The generalized formulas was applied to obtain the numerical solutions and results tabulated. We equally plot graphs to illustrate the nature of the total work done and the average work done by elements of the finite order-preserving partial transformation semigroup. Results obtained showed that moving the elements from domain to co-domain involve allot of work to be done on a numerical scale