GPT-5.2 Pro delivers a Lean-verified proof of Erdős Problem 397, marking a shift from pattern-matching AI to autonomous mathematical reasoning.

Abstract: Deploying machine learning (ML) inference pipelines in databases become increasingly prevalent in many applications. In order to avoid data transfer between the database and ML runtimes, ...

If you wave your hand in front of your face, you won’t notice anything particularly interesting. Perhaps a gentle waft of air against your cheek – that’s about it. No epiphany. No major sign that ...

Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...

Abstract: Probabilistic invariant measures provide a central tool to describe asymptotic behavior of dynamical systems and their ergodic and stochastic properties. Starting with natural examples, I ...

ABSTRACT: The object of the present paper is to investigate some mapping properties of subordinations by certain multivalent functions in the open unit disk associated with fractional integral ...

Calculator app has been around in macOS forever. Here's how to use its four modes in macOS Sequoia. Apple's Calculator app lives in the /Applications folder at the root of your Startup Disk. One of ...

DIMON, a new AI framework, accelerates modeling by solving partial differential equations efficiently, reducing computation times from days to seconds. Tested in heart simulations, it promises ...