High-resolution fMRI reveals a shared cortical map in which fractions and integers are organized by magnitude in educated adults performing a comparison task. Subject of Research: Cortical representation of integer and fraction magnitudes in the human brain Article Title: A…
A recurrent neural network trained on simulation data predicts soliton dynamics in Kerr resonators about twenty times faster than traditional Lugiato–Lefever computations.
Researchers have developed a gas-kinetic scheme with space-time adaptive mesh refinement that lets different grid regions advance at different time steps, cutting computational cost in simulations of shocks, vortices and singular flows. News Source: Audrey Campbell. (October 28, 2026). New space-time adaptive…
Researchers have introduced an augmented multiscale finite element formulation that enforces incompressibility through an iterative penalty approach and shows improved accuracy and robustness across a series of benchmark flow problems. News Source: Audrey Campbell. (October 27, 2026). New Augmented Multiscale Method Sharpens…
A Sandia-led project within the Department of Energy’s Genesis Mission will combine physics-constrained AI, large-scale simulation and Bayesian methods to quantify uncertainty in turbulent-flow predictions. Researchers led by Sandia National Laboratories are developing a physics-constrained artificial intelligence foundation model for…
NASA researchers used Computation Tree Logic model-checking to formally verify that their machine learning runway configuration tool meets crosswind and tailwind safety limits in 94 percent of realistic scenarios. Subject of Research: Formal verification of a machine learning runway configuration tool…
A new mathematical result has shown that even a single edge in the construction of a simple three-dimensional structure can be made as intricately knotted as any knot imaginable. Researchers from Monash University and the University of Sydney have found…
OpenAI recently achieved a solution to the Navier-Stokes existence and smoothness problem, one of mathematics’ most enduring challenges, the company says. The internal AI model reportedly cost more to produce the result than the $1 million prize offered by the Clay…
edited by Andrew Zinin Announcements over recent months that artificial intelligence models have cracked previously unsolvable problems are shaking top-level mathematicians to the core, and they are now asking themselves: Where do we come in? "All the avenues of research…
When it comes to AI, two’s company, but three — or more — can be a much harder problem. Many current approaches to AI in science model interactions in pairs, according to UC Santa Barbara’s Nina Miolane, whether between two atoms in…
New mathematics research as universities, institutes and journals announce it: findings, papers, preprints and research highlights.
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