A very convenient set of notations in asymptotic analysis are the so-called “big oh” (O) and “small-oh” (o) notations , and their variants. These notations are in widespread use and are often used without further explana-tion. Explore the growth of functions and learn about the asymptotic notation trio: Big-O, Big-Omega, and Big-Theta with step-by-step examples. In computing, asymptotic analysis of an algorithm refers to defining the mathematical boundation of its run-time performance based on the input size. For example, the running time of one operation is computed as f(n), and maybe for another operation, it is computed as g(n2). Asymptotic notations are the mathematical notations used to describe the running time of an algorithm when the input tends towards a particular value or a limiting value.
