Scientists today use artificial intelligence in many areas, especially in the natural sciences, for tasks such as analysing data or images. In theoretical mathematics, on the other hand, AI has barely ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

1 Economics Department, University of Lusaka, Lusaka, Zambia. 2 Department of Mathematics, Copperbelt University, Kitwe, Zambia. Chapter 1, underlines some important concepts in our paper. We ...

Certain infinite combinatorial structures in modern mathematics, called mad families, are known to exist only due to indirect, nonconstructive methods arising from a fundamental principle of ...

We often regard mathematics with a cold reverence. The discipline is driven by rules and principles that are eternal and stoic. There will never be a finite number of primes, for instance, and the ...

In a breakthrough that disproves decades of conventional wisdom, two mathematicians have shown that two different variants of infinity are actually the same size. The advance touches on one of the ...

Genome-wide assays and screens typically result in large lists of genes or proteins. Enrichments of functional or other biological properties within such lists can provide valuable insights and ...

This paper begins with a historical review of the mutual influence of physics and psychology, from Freud's invention of psychic energy inspired by von Boltzmann' thermodynamics to the enrichment ...