The last dimension of Keller's conjecture has been proven using a computer algorithm. The conjecture involves the way hypercubes in different dimensions share sides when tiled. The proof is ...

Mathematicians and computer scientists answered major questions in topology, set theory and even physics, even as computers continued to grow more capable. Mathematicians and computer scientists had ...

Growth and change in technology have brought a boom in the availability of data and the need for people to shape technologies. Growing areas like machine learning require expertise in programming, ...

Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...