In 1960, Andrey Kolmogorov posed a seemingly impossible challenge at a seminar at Moscow State University: could there be a ...

Known today as Karatsuba’s Algorithm, this breakthrough challenged the long-held belief that multiplying two n-digit numbers ...

In long multiplication, we have to multiply every digit of the first number by every digit of the second number. If the two numbers each have N digits, that's N2 (or N x N) multiplications altogether.

So when it comes to measuring the efficiency of a multiplication algorithm, it’s the small multiplications that concern us most. Let’s revisit our example, 25 × 63, with efficiency in mind. In order ...

To help you understand the algorithm, the video shows a simple two-digit by two-digit multiplication. You can see that the first and last digits are essentially the result of one multiplication.

Even more important, the multiplication algorithm is part of a class of nearly ubiquitous algorithms in computer science. Gidney expects that his new technique will allow quantum computers to ...

The algorithm is able to re-discover older matrix multiplication algorithms and improve upon its own to discover newer and faster algorithms. “AlphaTensor is the first AI system for discovering novel, ...