OpenAI announced this week that one of its general-purpose reasoning models made a breakthrough that has grabbed the ...

OpenAI is claiming its internal general-purpose reasoning model may have disproved the Erdős unit distance conjecture, a longstanding question in discrete geometry. Outside review is central to that ...

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel ...

OpenAI has revealed a breakthrough proof that overturns a nearly 80-year-old geometry conjecture posed by Paul Erdős.

Since the launch of the Crossword in 1942, The Times has captivated solvers by providing engaging word and logic games. In 2014, we introduced the Mini Crossword — followed by Spelling Bee, Letter ...

Abstract: This article proposes the novel concepts of the high-order discrete-time control barrier function (CBF) and adaptive discrete-time CBF. The high-order discrete-time CBF is used to guarantee ...

Abstract: In this technical note, an adaptive model-predictive control (MPC) is proposed for a class of discrete-time linear systems with constant parametric uncertainties and control constraint. The ...

Learn how defensive line techniques work, from alignment numbers and gap assignments to pass rush moves and how they combine within defensive fronts. Read now!

Discover a bold new vision for high school mathematics that empowers students through engaging, real-world learning. This essential publication reimagines the curriculum to focus on student-centered ...

These Holocaust lesson plans introduce key concepts and information to middle school and high school students. Grounded in historical context, the lessons utilize primary source materials from the ...