Let C0[ a, b ] denote the space of continuous functions x on [ a, b ] such that x(a) = 0. Let F(x) = f1(x(t1)) ⋯ fn(x(tn)) where $a = t_0 < t_1 < \cdots < t_n = b ...

A team of scientists finds a way to evaluate highly complex Feynman integrals. How does the world look like at the smallest scales? This is a question scientists are trying to answer in particle ...

The Nature Index 2024 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

“We followed a new mathematical path, the cluster algebras”, says Johannes Henn, director at the Max Planck Institute for Physics. Cluster algebras were discovered in the early 2000s. They consist of ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

Thomas Gehrmann remembers the deluge of mathematical expressions that came cascading down his computer screen one day 20 years ago. He was trying to calculate the odds that three jets of elementary ...

How does the world look like at the smallest scales? This is a question scientists are trying to answer in particle collider experiments like the Large Hadron Collider at CERN in Switzerland. To ...