The techniques he developed in the field of complex numbers have found use in tackling a wide range of fundamental equations in physics. By Kenneth Chang Joseph J. Kohn, who played a key role in ...

A century ago, the strange behavior of atoms and elementary particles led physicists to formulate a new theory of nature. That theory, quantum mechanics, found immediate success, proving its worth ...

Bicomplex analysis, an extension of traditional complex analysis, investigates functions defined on bicomplex numbers – entities formed by a pair of complex units. This framework enriches classical ...

Several years ago one of us, Toni, asked another of us, Marco, to come to his office at the Institute of Photonic Sciences, a large research center in Castelldefels near Barcelona. “There is a problem ...

In 1886 the mathematician Leopold Kronecker famously said, “God Himself made the whole numbers — everything else is the work of men.” Indeed, mathematicians have introduced new sets of numbers besides ...

(via Sabine Hossenfelder) Complex numbers are created when you add a real number and an imaginary number (like “i”). These numbers are used throughout math and physics, notably in the Schrödinger ...