Some types of mappings and e-abacus diagram

One of the essential and established aims in every scientific research is to uncover sites of convergence and link between more than two directions at the same time since it takes us out of the usual and gives us a better image of the study we are performing. From this standpoint; and in addition to what Mahmood and Hashim presented in 2022, In this paper, we will present a new method for integrating the foundations of mathematics, specifically in mappings and partition theory, based on the e-abacus diagram, by addressing certain types of mappings, and looking at the possible results from the occurrence of this combination between them.