A complex number. No, not a complicated number (although it is kind of complicated). We’re talking about an entirely new set of numbers dubbed “complex” ...

Quantum theory needs complex numbers Date: December 16, 2021 Source: ICFO-The Institute of Photonic Sciences Summary: An international team of researchers shows through a concrete theoretical ...

Imaginary numbers may seem abstract or even whimsical at first, but they are far from being mere mathematical curiosities. In ...

Our February Insights puzzle sent readers on a treasure hunt based on complex numbers. First we provided a bit of a primer, demonstrating that complex numbers (expressions of the form a + bi, where ...

Imaginary numbers are what you get when you take the square root of a negative number, and they have long been used in the most important equations of quantum mechanics, the branch of physics that ...

The quaternions are structured like the complex numbers, but with additional square roots of –1, which Hamilton called j and k. Every quaternion has the form a + bi + cj + dk, where a, b, c and d are ...

Imaginary numbers aren’t imaginary. Magnitudes of complex numbers in polar forms can be treated like a resistance. Phase angle is the time delay between the voltage and the current waveform.

“These complex numbers, usually they’re just a convenient tool, but here it turns out that they really have some physical meaning,” said Tamás Vértesi, a physicist at the Institute for ...