After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

Forbes contributors publish independent expert analyses and insights. Anisha Sircar is a journalist covering tech, finance and society. This voice experience is generated by AI. Learn more. This voice ...

Combined functions involve the operations of addition, subtraction, multiplication and division applied to two or more functions. A hybrid function is also an example of combined functions. Combined ...

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The perfectly matched layer (PML) is one of the most popular absorbing boundary conditions for simulating seismic waves. In theory, the PML can absorb incident waves at any incident angle and any ...

Intuitionistic logic, i.e. logic without the principle of excluded middle (P ∨ ¬ P P \vee \neg P), is important for many reasons. One is that it arises naturally as the internal logic of toposes and ...

John is writing about “concepts of sameness” for Elaine Landry’s book Category Theory for the Working Philosopher, and has been posting some of his thoughts and drafts. I’m writing for the same book ...