More than three decades after Andrew Wiles proved the 350-year-old Fermat's Last Theorem, mathematicians are teaching AI to ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

In thermodynamics, an "adiabatic process" is a system change that transfers no heat in or out of the system. Any and all energy change in that system are therefore accomplished by doing work on the ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

This development encodes category theory in Coq, with the primary aim being to allow representation and manipulation of categorical terms, as well realization of those terms in various target ...

Advanced mathematics, especially fields like complex function theory, might at first glance appear to be nothing more than a sea of abstract symbols. However, hidden beneath the surface are ...

There are problems that seem childlike on the surface but conceal a monstrous mental labyrinth in whose dead ends some of the most gifted minds in human history have gotten lost. In 1917, Japanese ...

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1. Relations and Functions Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions. 2. Inverse Trigonometric Functions Definition, range, domain, ...

In their work, mathematicians focus on thinking. Susanna Heikkilä’s preferred way of working is to hatch ideas with pen and paper. When working with others, a blackboard is a must. Credit: ...