Complex geometry investigates the properties and structures inherent in complex manifolds, while hyperbolicity imposes stringent restrictions on the behaviour of holomorphic maps. Together, these ...

Reducing redundant information to find simplifying patterns in data sets and complex networks is a scientific challenge in many knowledge fields. Moreover, detecting the dimensionality of the data is ...

Our cells have a complex relationship with the body's microenvironment. It has been studied in the lab, but, to date, most studies leave out dynamic changes to the microenvironment. In other words, ...

Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

PITTSBURGH--Researchers at Carnegie Mellon University have developed an efficient new way to quickly analyze complex geometric models by borrowing a computational approach that has made photorealistic ...

Researchers uncover the mathematical structure behind mesmerizing tiling patterns, linking their visual appeal to the ...

Get ’em while they’re hot: a new session of HackadayU just opened with classes from three fantastic instructors and seats are filling up fast. Introduction to Antenna Basics — Instructor Karen Rucker ...