How many coins can touch one coin, or how many basketballs can “kiss” one basketball at the same time? This seemingly playful question lies at the heart of the famous kissing number problem, a mathematical […]
As artificial intelligence (AI) takes on increasingly critical roles—from managing power grids to piloting autonomous vehicles—making sure these systems are safe has never been more important. But how can we be certain that the AI […]
Algorithms that identify influential people in social networks can help maximize the reach of messages, but a modeling study published in PNAS Nexus shows that those same algorithms can disseminate information inequitably, potentially exacerbating existing […]
Penn Engineers have developed a mathematical “Rosetta Stone” that translates atomic and molecular movements into predictions of larger-scale effects, like proteins unfolding, crystals forming and ice melting, without the need for costly, time-consuming simulations or […]
Many of the world’s most important systems, such as the atmosphere, turbulent fluids, and even the motion of planets, behave unpredictably due to chaos and noise. Scientists often study these systems through their “invariant” measures, […]
In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface covered by one or […]
In an approach reminiscent of the classic board game “Battleship,” Stanford researchers have discovered a way to characterize the microscopic structure of everyday materials such as sand and concrete with high precision.This article was originally […]
Every human society faces a common challenge: to develop the best possible mix of tools that can help them solve problems. But tools, ranging from simple hunting and cooking implements to technology to ways to […]
Mathematics is a unique subject in that mathematics-related motivation and learning are often accompanied by strong emotions, such as mathematics anxiety, which is estimated to affect as many as one in six students.This article was […]
Pilgrimages are ubiquitous across all major world religions. From the Camino de Santiago, a Christian pilgrimage that encompasses routes in southern Europe and ends in Spain, to the Kumbh Mela, a Hindu festival on the […]
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