Heat distributions help researchers to understand curved space
The heat equation is one of the most important partial differential equations. The behavior of the solution to the equation reflects the geometry of the underlying space very well. Therefore, this equation ...
The brain could be key to a better computer
Your brain is incredibly well-suited to handling whatever comes along, plus it's tough and operates on little energy. Those attributes—dealing with real-world situations, resiliency and energy efficiency—are ...
Mathematics: First-ever image of a flat torus in 3D
Just as a terrestrial globe cannot be flattened without distorting the distances, it seemed impossible to visualize abstract mathematical objects called flat tori in ordinary three-dimensional space. However, ...
The secret lives of bubbles: Mathematicians describe evolution, dissolution of clusters of bubbles (w/ video)
Bubble baths and soapy dishwater, the refreshing head on a beer and the luscious froth on a cappuccino. All are foams, beautiful yet ephemeral as the bubbles pop one by one.
Biophysicists model the behavior of a protein critical to cell motion
(Phys.org) -- Physicists at Lehigh have created a mathematical model that could benefit researchers who study cell motion, including cancerous cell motion, tissue healing processes and human embryonic development.