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fourier Definition
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fourier
biographical name(Fou-ri-er)(François-Marie-) Charles 1772—1837 French sociologist and reformer
fourier
noun(Fou-ri-er)the process of using the terms of a Fourier series to find a function that approximates periodic data
fourier
noun(Fou-ri-er)an infinite series in which the terms are constants multiplied by sine or cosine functions of integer multiples of the variable and which is used in the analysis of periodic functions
fourier
noun(Fou-ri-er)a theorem in mathematics: under suitable conditions any periodic function can be represented by a Fourier series
fourier
noun(Fou-ri-er)any of various functions (such as F(u)) that under suitable conditions can be obtained from given functions (such as f(x)) by multiplying by eiux and integrating over all values of x and that in scientific instrumentation describe the dependence of the average of a series of measurements (as of a spectrum) on a quantity of interest (such as brightness) especially of a very small magnitude —called also Fourier transformation