Researchers at New York University have devised a mathematical approach to predict the structures of crystals—a critical step in developing many medicines and electronic devices—in a matter of hours ...

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 ...

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 ...

A newly-developed mathematical method can detect geometric structure in neural activity in the brain. The method is a first step toward developing a new mathematical toolkit to uncover the structure ...

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 ...

Algebraic structures provide the language and framework for formulating fundamental laws in modern physics, especially in areas where symmetry, quantisation and unification are paramount. Lie algebras ...

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 ...