A computer language created to spot errors in mathematical theorems has uncovered a fundamental error in a widely cited physics paper for the first time. The ...

Lean 4 formalization of fixed-point constructions in monoidal closed categories, with computability theory (Myhill isomorphism, Rogers isomorphism, Kleene recursion). 42 files, 8051 lines, 0 custom ...

As artificial intelligence reshapes software development, a small startup is betting that the industry's next big bottleneck won't be writing code — it will be trusting it. "We're already there," said ...

Abstract: The classical isomorphism theorems for reversible Markov chains have played an important role in studying the properties of local time processes of strongly symmetric Markov processes [21], ...

Rigidity theorems prove that a group’s geometry determines its algebra, typically up to virtual isomorphism. Motivated by rigidity problems, we study graphically discrete groups, which impose a ...

Abstract: This study presents a comprehensive examination of the structural and operatorial foundations within mimetic discretizations, with a focus on bridging the gap between discrete and continuous ...

Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...

UPSC Maths Optional Syllabus 2023: Maths is one of the most popular optional subjects among IAS aspirants. As a general rule of thumb, the mathematics optional subject should be the subject of your ...