Neurons have complex dendritic trees, receiving numerous inputs at various distances from the cell body. Yet the rules of molecular signal propagation from dendrites to nuclei are unknown. DARPP-32 is ...

Complex analysis and the geometry of domains represent a vibrant interdisciplinary area that amalgamates tools from pure mathematics with practical applications. This field investigates the properties ...

New approaches to creating shapes promise to simplify the design work behind the aesthetic surfaces found on consumer products. Pity the poor designers trying to generate eye-popping shapes for ...

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 ...

Scientists have just defined a new shape called the scutoid (SCOO-toid) while studying epithelial cells, the building blocks of embryos that eventually end up forming our skin and lining our organs ...

Researchers have developed an efficient new way to quickly analyze complex geometric models by borrowing a computational approach that has made photorealistic animated films possible. Researchers at ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

Researchers at Tsinghua University developed PriorFusion, a unified framework that integrates semantic, geometric, and ...

No one knows how to find the smallest shape that can cover all other shapes of a certain width. But high school geometry is getting us closer to an answer. “Hey — I’ve got holes in some of my jeans.