Complex geometry, a rich interlace of algebra, analysis and geometry, continues to unveil surprising interconnections between abstract theories and practical applications. At its core, the study of ...

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 ...

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 ...

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 ...

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

A system developed by Google’s DeepMind has set a new record for AI performance on geometry problems. DeepMind’s AlphaGeometry managed to solve 25 of the 30 geometry problems drawn from the ...