Understanding Undefined Quantities: Bridging Mathematical Concepts with Physical and Mathematical Realities

Rabindranath Chattopadhyay

Abstract: This article explores the concept of undefined quantities in mathematics, particularly focusing on the expression (0/0) and similar cases. The discussion delves into how undefined quantities, traditionally confined to theoretical mathematics, find relevance in physical and mathematical realities through examples like Snell?s Law and Simple Harmonic Oscillation SHO. By analyzing the interplay between equations, dependent and independent variables, and their practical applications, the article demonstrates how an undefined quantity, often perceived as an abstract concept, can acquire a definitive value or function in specific contexts. This study challenges the conventional perception of undefined numbers and highlights the significance of contextual interpretation in mathematics, emphasizing the transition from purely abstract constructs to application- driven understanding.

Keywords: Undefined Quantities, Mathematical Realities, Physical Applications, Snell's Law, Simple Harmonic Oscillation