This course emphasizes mathematical definitions, logical inference, and proof techniques. Topics include propositional logic, first-order logic, inference rules and satisfiability, proof methods, sets ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

Why the challenge of truly representative democracy is so complex. Moon Duchin, who leads the University of Chicago’s Data and Democracy Research Initiative, explores how math can help solve ...

You’re at the checkout screen after an online shopping spree, ready to enter your credit card number. You type it in and instantly see a red error message ...

The paper says that we should use "greedy decoding" to report pass@1, could you please explain it? is there any different and should i change the" actor_rollout_ref ...

When it comes to teaching math, a debate has persisted for decades: How, and to what degree, should algorithms be a focus of learning math? The step-by-step procedures are among the most debated ...

Google’s DeepMind research division claims its newest AI agent marks a significant step toward using the technology to tackle big problems in math and science. The system, known as AlphaEvolve, is ...

Abstract: The Steiner Forest Problem is a fundamental combinatorial optimization problem in operations research and computer science. Given an undirected graph with non-negative weights for edges and ...

The mathematics behind artificial intelligence (AI) and machine learning (ML) rely on linear algebra, calculus, probability, and statistics. These provide the foundation for developing the needed ...