Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of ...

Mathematicians were disturbed, centuries ago, to find that calculating the properties of certain curves demanded the seemingly impossible: numbers that, when multiplied by themselves, turn negative.

DURHAM, N.C. – Computer engineers at Duke University have demonstrated that using complex numbers—numbers with both real and imaginary components—can play an integral part in securing artificial ...

To a nonmathematician, having the letter “i” represent a number that does not quite exist and is “imaginary” can be hard to ...

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.

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 ...

In this paper we compute the relative class number of all imaginary Abelian fields of prime conductor below 10000. Our approach is based on a novel multiple evaluation technique, and, assuming the ERH ...

Theorem. Let n > 2 denote an integer, D the square-free part of 2n - 1 and h the class number of the field Q[$\sqrt{-D}$]. Then except for the case n = 6, n - 2 divides h.

Robyn Arianrhod does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...