For several applications in the arithmetic of abelian varieties it is important to compute canonical heights. Following Faltings and Hriljac, we show how the canonical height of a point on the ...

Information theory is the mathematical quantification of information with applications ranging from data telecommunications to evolution, brain science or cosmology.

Anthropic brings Claude's learning mode to regular users and devs For Claude Code users, it means the chatbot will explain its coding decisions.

Theory and Society is a forum for the international community of scholars that publishes theoretically-informed analyses of social processes. It opens its pages to authors working at the frontiers of ...

Scientists can use modern rocks, moon samples and meteorites to figure out when and how the Earth and moon formed, and what they might once have looked like.

A market failure is a disruptive outcome in a free market system in which the forces of supply and demand fail to achieve balance.

A security researcher said flaws in a carmaker’s online dealership portal exposed the private information and vehicle data of its customers, and could have allowed hackers to remotely break into ...

Find out how the volume of a 3D shape can be calculated by counting cubes in this Bitesize KS2 Maths guide.