Have you ever wondered about the best way to pack a finite number of identical spheres into a shape-shifting flexible container, like a convex hull?...
Statisticians from the National University of Singapore (NUS) have introduced a new technique that accurately describes high-dimensional data using lower-dimensional smooth structures. This innovation marks a significant step forward in addressing the challenges of complex nonlinear dimension...
In fields such as physics and engineering, partial differential equations (PDEs) are used to model complex physical processes to generate insight into how some of the most complicated physical and natural systems in the world function....
The simple activity of walking through a room jumpstarts the neurons in the human brain. An explosion of electrochemical events or "neuronal spikes" appears at various times during the action. These spikes in activity, otherwise known as action potentials, are electrical impulses that occur when...
Economics and physics are distinct fields of study, yet some researchers have been bridging the two together to tackle complex economics problems in innovative ways. This resulted in the establishment of an interdisciplinary research field, known as econophysics, which specializes in solving...
Newly published research reexamines the evaluation of scientific findings, proposing a network-based methodology for contextualizing a publication's impact....
What influences the choices we make, and what role does the behavior of others have on these choices? These questions underlie many aspects of human behavior, including the products we buy, fashion trends, and even the breed of pet we choose as our companion....
Math experts have developed new ways to provide further evidence for human-caused global heating and predict how close Earth is to reaching dangerous climate tipping points....
We've all been there: staring at a math test with a problem that seems impossible to solve. What if finding the solution to a problem took almost a century? For mathematicians who dabble in Ramsey theory, this is very much the case. In fact, little progress had been made in solving Ramsey problems...
A pair of mathematicians, Kevin Course and Prasanth Nair at the University of Toronto's Institute for Aerospace Studies, has developed a new state-estimation method to create efficient forecasts without the need for the details of an underlying model....
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