Enumeration Order complexity Equivalency

TL;DR

This paper explores the efficiency and complexity of functions related to enumeration and listing, refining previous definitions to analyze how different functions can be co-ordered yet have varying velocities.

Contribution

It introduces modified definitions of enumeration order and function efficiency, providing a nuanced analysis of complexity relationships between functions.

Findings

Refined definitions of enumeration order and function efficiency.

Analysis of co-order functions with different velocities.

Enhanced understanding of complexity equivalency in enumeration processes.

Abstract

Throughout this article we develop and change the definitions and the ideas in "arXiv:1006.4939", in order to consider the efficiency of functions and complexity time problems. The central idea here is effective enumeration and listing, and efficiency of function which is defined between two sets proposed in basic definitions. More in detail, it might be that h and g were co-order but the velocity of them be different.