Asymptotic Theory

Asymptotic theory is a branch of mathematics and statistics that studies the behavior of functions and algorithms as they approach a limit, often as inputs grow very large. In simpler terms, it helps us understand how things behave when they become very large or very small. This is particularly useful in fields like computer science for analyzing the efficiency of algorithms, or in statistics for estimating how data behaves when sample sizes increase. Essentially, it provides insights into long-term trends and behaviors rather than focusing on specific cases.