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Fourier analysis
noun
- the expression of any periodic function as a sum of sine and cosine functions, as in an electromagnetic wave function. Compare Fourier series.
Fourier analysis
/ ˈfʊərɪˌeɪ /
noun
- the analysis of a periodic function into its simple sinusoidal or harmonic components, whose sum forms a Fourier series
Fourier analysis
- The branch of mathematics concerned with the approximation of periodic functions by the Fourier series and with generalizations of such approximations to a wider class of functions.
Word History and Origins
Origin of Fourier analysis1
Word History and Origins
Origin of Fourier analysis1
Example Sentences
Throughout the 19th century, Fourier analysis evolved to include wider classes of phenomena, including waves that change their shape over time rather than repeating identically forever.
More than two centuries ago, mathematicians developed a method called Fourier analysis for describing, for example, the vibrations of a guitar string as the combination of multiple sine waves.
Fourier analysis allows complex waveforms to be understood and analysed by breaking them down into simpler signals.
Wavelets are an extension of the mathematical toolkit of Fourier analysis, named after Joseph Fourier, who initiated the field in the 1800s.
I've got a problem sheet on complex Fourier analysis due in at midday.
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