From writing essays to coding, there’s seemingly nothing modern AI chatbots like ChatGPT and Microsoft Copilot cannot accomplish. But even though they seem limitless on the surface, they’re certainly ...

For most students, an upcoming math assignment or test is a source of anxiety. What if we told you that learning math can be as simple as clicking a photograph from your smartphone? Meet Microsoft ...

There is a general sense that programming is related to math and that people who are successful in math are often successful at programming. For math teachers, a natural question arises: “What is the ...

AlphaProof and AlphaGeometry 2 are steps toward building systems that can reason, which could unlock exciting new capabilities. AI models can easily generate essays and other types of text. However, ...

A year ago AlphaGeometry, an artificial-intelligence (AI) problem solver created by Google DeepMind, surprised the world by performing at the level of silver medallists in the International ...

This is a preview. Log in through your library . Abstract We present a new complexity result on solving the Markov decision problem (MDP) with n states and a number of actions for each state, a ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

Explore zero-one integer programming, a key method in logical problem-solving, using binary choices for optimal decisions in finance, production, and more.