It has been a bizarre eight months since Liverpool were crowned Premier League champions. The Reds spent big in the summer, ...

Even given a set of possible quantum states for our cosmos, it's impossible for us to determine which one of them is correct ...

Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous ...

Modern neuroscience understands the brain as a set of specialized systems. Aspects of brain function such as attention, ...

For one, the tougher Arc enemies — your Bombardiers, Rocketeers, Leapers, and so on — all typically spawn in the same places ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Large reasoning models often show counterintuitive behavior, putting more computational effort into simple tasks than difficult ones while producing worse results overall. Researchers have established ...

Click to share on X (Opens in new window) X Click to share on Facebook (Opens in new window) Facebook It’s easy to see the attraction behind the idea of a single Slayer battling to protect the world; ...

Get set theory explained in a clear and complete way, covering everything you need to know from basic definitions to key operations and ideas. This video walks through sets, subsets, unions, ...

The ball rolls across the floor because it was kicked, just as Earth orbits the sun because it is tugged by gravity. The connection between cause and effect is fundamental to how we understand the ...