Warren Buffett advised that you should never invest in a business you can't understand. But that hasn't stopped many ...

In this video series, I will show you how to divide complex numbers. We do this by eliminating the imaginary number on the denominator by producing equivalent fractions. We do this by multiplying i if ...

Abstract: Complex numbers in today's computers are represented and manipulated by splitting them into their real and imaginary components and then each pair of real parts and imaginary parts undergoes ...

Abstract: If the training data set in image recognition task is not very large, the feature extraction with a convolutional neural network is usually applied. Here, we focus on the nonparametric ...

A century ago, the strange behavior of atoms and elementary particles led physicists to formulate a new theory of nature. That theory, quantum mechanics, found immediate success, proving its worth ...

I recently used the example in "ExampleCodes/FFT/EnergySpectrum" to compute turbulent kinetic energy. The result of the calculation from the spectrum was found to be ...

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, ...

Complex numbers seem to have an almost mystical aura surrounding them. Perhaps it’s because of the terminology used for them – for example, they have a ‘real part’ and an ‘imaginary part’, and they ...