Functions and Analysis

Growth Depth Index (GDI)

Authors: Boudjema Abderraouf
Comments: 12 Pages. (Note by ai.viXra.org Admin: Please cite and list scientific references)

The Growth Depth Index (GDI) system provides a comprehensive framework for classifying asymptotic function growth. By capturing both structural hierarchy (depth) and quantitative parameters (rate, exponent coefficient, multiplicative constant), it enables precise comparison of functions across all common asymptotic classes. The key innovation is the preservation of multiplicative constants throughcareful parameter extraction, making the system suitable for implementation in function comparison tools and asymptotic analysis.
Category: Functions and Analysis