Knots and links, with their unique and robust topological structures, play a vital role across various disciplines, including physics, life sciences ...

In article , we developed vector area and volume elements in curved coordinate for flux vector fields into open and closed ...

They discover that the topological properties of quasicrystals come from periodic patterns in 4D, revolutionizing optics and ...

Regression models with intractable normalizing constants are valuable tools for analyzing complex data structures, yet ...