For four decades, a quiet boundary in pure mathematics kept a powerful theorem locked inside the safe world of finite quantities. Now a new result known as Sebestyen’s theorem has pushed that boundary ...

A classic math rule now handles infinity. New work strengthens the math behind physics and unbounded systems. % ...

Yosra Barkaoui's doctoral dissertation in mathematics at the University of Vaasa, Finland, has successfully generalised a fundamental theorem that has ...

Yosra Barkaoui’s doctoral dissertation in mathematics at the University of Vaasa, Finland, has successfully generalised a fundamental theorem that has been limited to the bounded case. The research ...

India has a rich ancient history of great achievements in mathematics which has been disseminated in the world and has led ...

Mathematics is often seen as perfect—consistent, complete, and immune to contradiction. But in the early 20th century, a breakthrough proved that no mathematical system can ever explain everything ...

A narrow definition such as income inequality does not capture the vast disparities in power that define our society.

Abstract: In this paper, we propose a new mathematical model for power flow problem based on the linear and nonlinear matrix inequality theory. We start with rectangular model of power flow (PF) ...

To be eligible for JEE Advanced 2026, candidates must rank among the top 2.5 lakh students in JEE Main 2026, satisfy the age ...

To be eligible for JEE Advanced 2026, candidates must rank among the top 2.5 lakh students in JEE Main 2026, satisfy the age criteria. Additionally, candidates must have appeared for their Class 12 ...

Large language models (LLMs) can prove mathematical theorems formally by generating proof steps (\textit{a.k.a.} tactics) within a proof system. However, the space of possible tactics is vast and ...

They used powerful mathematical theorems—including Gödel's incompleteness theorem—to prove that a complete and consistent description of everything requires what they call "non-algorithmic ...