Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

In this math tutorial I will show you how to multiply complex numbers. Complex numbers come in the form of a +bi. Multiplying complex numbers carry some of the same properties as multiplying ...

To a nonmathematician, having the letter "i" represent a number that does not quite exist and is "imaginary" can be hard to wrap your head around. If you open your mind to this way of thinking, ...

In this math tutorial I will show you how to multiply complex numbers. Complex numbers come in the form of a +bi. Multiplying complex numbers carry some of the same properties as multiplying ...

Have you ever sat in a math classroom and wondered, “When will I ever use this?” You might have asked yourself this question when you first encountered “imaginary” numbers, and with good reason: What ...

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 ...