Many people experience mathematics negatively. Many more students have difficulty in performing basic arithmetic operations that may ultimately exclude them from full participation in society (Moses, ...
Compression algorithms for speech, audio, still images, and video are quite complicated and, more importantly, nearly always lossy. Thus, samples often change dramatically once they’re decompressed.
A new algorithm performs Fourier transforms using a minimal number of samples. The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing.