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 ...

Constructive mathematics reconsiders traditional foundational approaches by emphasising explicit constructions and algorithmic content rather than relying solely on non-constructive existence proofs.

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 ...

Termite mounds are remarkable structures that regulate temperature, balance airflow, and maintain structural stability in ...

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 ...

BROOKLYN, N.Y. — Scientists have long used mathematics to describe the physical properties of the universe. But what if the universe itself is math? That's what cosmologist Max Tegmark believes. In ...

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 ...