complex Fourier coefficient

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• Fourier series — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …   Wikipedia

• Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

• Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …   Wikipedia

• Fast Fourier transform — A fast Fourier transform (FFT) is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse. There are many distinct FFT algorithms involving a wide range of mathematics, from simple complex number arithmetic to group …   Wikipedia

• Discrete Fourier series — A Fourier series is a representation of a function in terms of a summation of an infinite number of harmonically related sinusoids with different amplitudes and phases. The amplitude and phase of a sinusoid can be combined into a single complex… …   Wikipedia

• Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… …   Wikipedia

• List of Fourier-related transforms — This is a list of linear transformations of functions related to Fourier analysis. Such transformations map a function to a set of coefficients of basis functions, where the basis functions are sinusoidal and are therefore strongly localized in… …   Wikipedia

• Generalized Fourier series — In mathematical analysis, many generalizations of Fourier series have proved to be useful.They are all special cases of decompositions over an orthonormal basis of an inner product space.Here we consider that of square integrable functions… …   Wikipedia

• nature, philosophy of — Introduction       the discipline that investigates substantive issues regarding the actual features of nature as a reality. The discussion here is divided into two parts: the philosophy of physics and the philosophy of biology.       In this… …   Universalium

• Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

• Occurrences of Grandi's series — Main article: Grandi s series Contents 1 Parables 2 Numerical series 3 Power series 4 Fourier series …   Wikipedia