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 ...
Mathematics
Oct 21, 2025
0
43
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, ...
Mathematics
Oct 21, 2025
0
30
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 ...
Mathematics
Oct 20, 2025
0
277
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" ...
Mathematics
Oct 17, 2025
0
163
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 more geometric ...
Mathematics
Oct 10, 2025
0
737
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.
Mathematics
Oct 10, 2025
0
80
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 transport goods ...
Mathematics
Oct 7, 2025
0
50
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.
Mathematics
Oct 1, 2025
0
38
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 banks ...
Mathematics
Oct 1, 2025
0
41
The seemingly unpredictable, and thereby uncontrollable, dynamics of living organisms have perplexed and fascinated scientists for a long time. While these dynamics can be represented by reaction networks, which can model ...
Mathematics
Sep 30, 2025
0
101
