May 2017
Intermediate to advanced
310 pages
8h 5m
English
The letter "O" in big O notation stands for order, in recognition that rates of growth are defined as the order of a function. We say that one function T(n) is a big O of another function, F(n), and we define this as follows:
The function, g(n), of the input size, n, is based on the observation that for all sufficiently large values of n, g(n) is bounded above by a constant multiple of f(n). The objective is to find the smallest rate of growth that is less than or equal to f(n). We only care what happens at higher values of n. The variable n0represents the threshold below which the rate of growth is not important, The function ...