Fourier analysis and approximation theory form a cornerstone of modern mathematical analysis, concerned with the representation of functions by basic oscillatory components and the quantification of ...

As we listen to a piece of music, our ears perform a calculation. The high-pitched flutter of the flute, the middle tones of the violin, and the low hum of the double bass fill the air with pressure ...

Super-resolution (SR) fluorescence microscopy, through the use of fluorescent probes and specific excitation and emission procedures, surpasses the diffraction limit of resolution (200~300 nm) that ...

A new study finds that a 200-year-old technique called Fourier analysis can reveal crucial information about how the form of artificial intelligence called deep neural networks (DNN) learn to perform ...