I still love studying consciousness, but I'm now more interested in abstract and mathematical ideas. It may be becoming a bit different from most research, and not many people like it. But sometimes I meet someone thinking similar things, and that makes me happy.
It's funny how Webies complain that I'm a JavaScript hater yet one of my most popular videos (and also the most praised one) uses nothing BUT JavaScript inside a browser. I'm gonna keep doing what I'm doing until everybody finally understands what Programming is actually about.
Have you ever wondered what lives between a function and its derivative?
Fourier space gives a sharp answer
Since dᵃ/dxᵃ turns into multiplication by (jω)ᵃ, the order a can slide continuously, so x² can morph through a whole family of in-between shapes on its way to 2x and then 2. The same dial exists in optics...a lens maps a rect aperture to a sinc pattern (a Fourier transform), and the fractional Fourier transform is the continuum of light fields between the lens plane (order 0) and the focal plane (order 1).
#FractionalCalculus #FractionalDerivatives #FourierTransform #FractionalFourierTransform #SignalProcessing #Optics #MathAnimation