A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...

Fourier’s theorem tells us, however, that we can break it down into a sum of sinusoids, whose frequencies are all multiples of the “fundamental” frequency of the first term. In other words, the wave ...

If there's a mathematical idea that applies itself to almost everything in everyday life but is almost unknown outside the scientific world, the Fourier transform has to be the most unsung contender.