GEOMETERS are wont to speak (it seems to me) somewhat laxly of “the line at infinity” as if there were only one such line in a plane; in a certain but not in the most obvious sense this is true—viz.

The imaginary number takes mathematics to another dimension. If the square root of +1 is both +1 and -1, then what is the square root of -1? The imaginary number takes mathematics to another dimension ...

There is a bizarre number in maths referred to simply as ‘i’. It appears to break the rules of arithmetic - but turns out to be utterly essential for applications across engineering and physics. We ...

It should be impossible to measure an imaginary number in the lab, but a group of researchers have found a way to do so. They produced the equivalent of a magnetic field of imaginary strength, meaning ...

Melvyn Bragg and his guests discuss imaginary numbers - important mathematical phenomena which provide us with useful tools for understanding the world. Show more Melvyn Bragg and his guests discuss ...

Soient K=ℚ−d un corps quadratique imaginaire de nombre de classes égal à 1 et O𝕂 son anneau des entiers. On étudie une famille de fonctions L de Hecke associées à des caractères angulaires sur les ...