Topological materials are revolutionizing semiconductor manufacturing, offering enhanced conductivity and efficiency for next ...

Topology optimization is a process that aims to achieve reduce a part to its most minimal possible geometry. To do this, an initial concept of a part is optimized using computer-based calculations so ...

Department of Chemistry, University of Manchester, Oxford Road, Manchester M13 9PL, U.K.

So is it true that only geniuses can solve this math equation? I reached out to a mathematics professor to help me run the numbers on this tricky math problem. You’ve no doubt seen this math ...

According to point spread functions (PSF), the array topology results from the proposed design method ... The IBPA has weighting factors incorporated into its forward physical wave equations to ...

A special focus of the article is on the fact that the fabric of Maxwell's equations allows for quantization of charges. When Thomson discovered electrons, it was proved that electric flux is ...

"We could no longer use the equations of physics to predict the future from the past and present," he continued. "For these reasons, most practising scientists expect that singularities are not ...

Whether trying to design secure sensor networks, mine data or use origami to deploy satellites, the underlying language and ideas are likely to be that of topology.

While you don't need topology to determine that you are living on something like a giant beach ball, knowing all the possible 2D spaces can be useful. Over a century ago, mathematicians figured ...

A package for binary and continuous, single and multi-material, truss and continuum, 2D and 3D topology optimization on unstructured meshes using automatic differentiation in Julia. Topolograph.com is ...

topology of algebraic varieties, the algebraic geometry of splines, algebraic K-theory, and moduli spaces. We are a vibrant group working on an analysis of nonlinear partial differential equations ...