Montgomery happened to find strikingly similar behavior in the prime numbers— specifically, the correlations between the ...

Now, on to the subject of complex numbers. We have stayed away from this subject until now simply because we did not want to confuse things. Initially, it is easy to think of signals as “real valued.” ...

Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, ...

With a complex number methods endorsement from Bethel, you’ll deepen and demonstrate your understanding of how these mathematical tools are used to solve real-world problems. An endorsement in complex ...

In this paper, I present the case of the discovery of complex numbers by Girolamo Cardano. Cardano acquires the concepts of (specific) complex numbers, complex addition, and complex multiplication.

An international team of researchers shows through a concrete theoretical experiment that the prediction by standard complex quantum theory cannot be expressed by its real counterpart and ratifies its ...

Imagine winding the hour hand of a clock back from 3 o’clock to noon. Mathematicians have long known how to describe this rotation as a simple multiplication: A number representing the initial ...

Imaginary numbers might seem like unicorns and goblins — interesting but irrelevant to reality. But for describing matter at its roots, imaginary numbers turn out to be essential. They seem to be ...

Axiom Math, which has recruited top talent from Meta, has raised $64 million in seed funding to build an AI math whiz.

Physicists construct theories to describe nature. Let us explain it through an analogy with something that we can do in our everyday life, like going on a hike in the mountains. To avoid getting lost, ...