Big-Oh, Big Omega (Ω) and Theta (Θ) notation is commonly seen in analysis of algorithm running times. But many programmers don’t really have a good grasp of what the notation actually means. In this article you’ll find the formal definitions of each and some graphical examples that should aid understanding. Big-Oh The function that needs […]

## Karatsuba Multiplication in Python

The Karatsuba multiplication algorithm is named after the Russian mathematician Anatoly Karatsuba. It uses a divide and conquer approach that gives it a running time improvement over the standard “grade-school” method. Read on for Python implementations of both algorithms and a comparison of their running time. The problem You are given two integers x and […]