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
739
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
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
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
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
The Artificial Intelligence chatbot, ChatGPT, appeared to improvise ideas and make mistakes like a student in a study that rebooted a 2,400-year-old mathematical challenge.
Mathematics
Sep 17, 2025
4
336
Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in the brain, or the spread of infectious diseases. Petar Jovanovski's Ph.D. thesis focuses on these ...
Mathematics
Sep 16, 2025
0
24
