But algorithms show up in more advanced topics, too, like the “FOIL” method learned in Algebra 1 for multiplying binomials, such as (x +2) * (3x - 6): You start by multiplying with the first ...

“We had to control how big a number shows up as we do this guessing and coordination,” said Peng. Peng and Vempala prove that their algorithm can solve any sparse linear system in n 2.332 steps. This ...

Mathematicians have long sought to develop algorithms that can compare any two graphs. In practice, many ...

For example, multiplying two 4×4 matrices together using a traditional schoolroom method would take 64 multiplications, while Strassen's algorithm can perform the same feat in 49 multiplications.

The Schönhage–Strassen algorithm, developed by two German mathematicians, was actually the fastest method of multiplication from 1971 through 2007.Although a faster method was developed in 2007 ...

Newton method, invented by physicist Isaac Newton about 300 years ago, is an algorithm that still plays an important role in a wide range of fields, including logistics, financial engineering ...

A new algorithm helps topology optimizers skip unnecessary iterations, making optimization and design faster, more stable and ...