Fourier analysis

the mathematical analysis of complex waveforms using the fact that they can be expressed as an infinite sum of sine and cosine functions (a Fourier series). It is accomplished via a Fourier transform, a mathematical operation that analyzes any waveform into a set of simple waveforms with different frequencies and amplitudes. The reconstruction of complex waveforms from simple components is called Fourier synthesis. Fourier analysis is particularly important in the study of sound (see sound spectrum), and Fourier analysis and synthesis are important for the theoretical understanding of visual analysis. [Jean Baptiste Joseph Fourier (1768–1830), French mathematician and physicist]

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Psychology term of the day

January 13th 2025

prima facie

at first sight: on the face of things (Latin, literally: “first face”). Prima facie evidence is evidence that, although not conclusive, is considered sufficiently strong to support an inference of fact in the absence of evidence to the contrary.