Calculus of variations provides a unifying language for problems in which the state or trajectory of a system is determined by extremising an energy or action functional. Rooted in classical mechanics ...

Free boundary problems arise in the calculus of variations when the region on which a governing equation acts is itself part of the solution. In such problems, one seeks a function that minimises an ...

Abstract: The beamforming optimization for maximizing weighted sum-rate (WSR) in continuous aperture array (CAPA)-based multi-user communications is studied. In particular, the transmit beamformers of ...

Liam Price just cracked a 60-year-old problem that world-class mathematicians have tried and failed to solve. He’s 23 years old and has no advanced mathematics training. What he does have is a ChatGPT ...

Sample platform Splice has announced the launch of three generative AI tools that allow users to “reshape and reimagine” sounds from its millions-strong library while ensuring that the creators of ...

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Polypharmacy and potential drug–drug interactions with novel androgen receptor signaling inhibitors (ARSIs) in patients (pts) with high-risk non-metastatic castration-resistant prostate cancer (nmCRPC ...

Performances in N.Y.C. Advertisement Supported by Anthony Brandt, a musicologist whose work focuses on music cognition, talks about what this musical form and how human beings approach open-ended ...

Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...