Karatsuba’s “divide-and-conquer” multiplication algorithm has its roots in a method that Carl Friedrich Gauss (1777-1855) introduced involving the multiplication of complex numbers.

Nathan Liu, an eighth grader from Richardson, beat 223 competitors to win the 2025 RTX MATHCOUNTS National Competition ...

For example, more and more ... He explains: “State-of-the-art numerical algorithms already exist, such as optimal subsampling algorithms and divide and conquer algorithms. In contrast to the ...

At the same time, the common denominator approach is in fact a viable alternative to flipping and multiplying. Take, for example ... fractions in order to divide and conquer them.