An artificial intelligence model developed by Alphabet Inc.’s Google DeepMind unit has won a gold medal in the International ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

One of the biggest stories in science is quietly playing out in the world of abstract mathematics. Over the course of last ...

The Langlands programme has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up ...

The Google DeepMind team participated in last year's IMO competition using an AI composed of the AlphaProof and AlphaGeometry ...

Google DeepMind's Gemini AI won a gold medal at the International Mathematical Olympiad by solving complex math problems using natural language, marking a breakthrough in AI reasoning and human-level ...

This book begins with exposition on the combinatorial and algebraic techniques that Professor Gould uses for proving binomial identities. These techniques are then applied to develop formulas which ...

This course will focus on the theoretical foundations and processes of linear algebra. Proofs and methods of proof will be stressed throughout. Topics include abstract vector spaces and their linear ...

Here N is the number of positive roots in the root system, or equivalently, the length of the longest element w0 in the Weyl group. Among other things, this useful parametrization makes it possible to ...

Food additives are ingredients that are added to foods to carry out particular functions. Manufacturers must provide information about any additives used in the foods they produce. You can find this ...