Researchers found mathematical structure that was thought not to exist. The best possible q-analogs of codes may be useful in more efficient data transmission. Researchers found mathematical structure ...

How clans form and evolve within human societies has been modeled using a simple computer model developed by a RIKEN researcher and a collaborator. This demonstration opens the way to modeling complex ...

Chinese Money Plant leaves hide a mathematical pattern shaping leaf veins in Voronoi geometry. This discovery shows nature ...

Most of us first hear about the irrational number π (pi)—rounded off as 3.14, with an infinite number of decimal digits—in school, where we learn about its use in the context of a circle. More ...

Kevin Lieber of Vsauce2 explores the fascinating mathematical structures found within Pascal's triangle and probability.

When particle physicists try to model experiments, they confront an impossible calculation — an infinitely long equation that lies beyond the reach of modern mathematics. Fortunately, they can ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

In addition to ascertaining that the internal vitality of the mathematical sciences is excellent, as illustrated in Chapter 2, the current study found a striking expansion in the impact of the ...