Complex Hessian equations extend the classical framework of the complex Monge–Ampère equation by involving the m-th elementary symmetric function of the eigenvalues of the complex Hessian. This ...

Transfer of math, physics, and communication skills into the entry-level photonics workforce, NSF Award 1432578, Sept 2014 – Aug 2019 Exploring factors that shape education & workplace training on ...

(Nanowerk News) If you know the atoms that compose a particular molecule or solid material, the interactions between those atoms can be determined computationally, by solving quantum mechanical ...

What if a machine could think as deeply as a human mathematician, solving problems so intricate they stump even the brightest minds? Enter Gemini Deep Think, an advanced AI model that has not only ...

In this nearly all-digital age, analog systems are a vanishing breed. Certain cars still have analog dashboards. A lot of people prefer analog clock faces to something that looks like the timer on a ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...

What if the secrets to the universe’s most perplexing mathematical riddles were no longer locked away, but instead cracked open by an artificial mind? In a new development, OpenAI’s o3-mini model has ...