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complex-valued series

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  • 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

  • Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

  • Complex wavelet transform — The complex wavelet transform (CWT) is a complex valued extension to the standard discrete wavelet transform (DWT). It is a two dimensional wavelet transform which provides multiresolution, sparse representation, and useful characterization of… …   Wikipedia

  • Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics …   Wikipedia

  • Complex analysis — Plot of the function f(x)=(x2 1)(x 2 i)2/(x2 + 2 + 2i). The hue represents the function argument, while the brightness represents the magnitude. Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch …   Wikipedia

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

  • Wavelet series — In mathematics, a wavelet series is a representation of a square integrable (real or complex valued) function by a certain orthonormal series generated by a wavelet. This article provides a formal, mathematical definition of an orthonormal… …   Wikipedia

  • Periodic points of complex quadratic mappings — This article describes periodic points of some complex quadratic map. This theory is applied in relation with the theories of Fatou and Julia sets.DefinitionsLet :f c(z)=z^2+c, where z and c are complex valued. (This f is the complex quadratic… …   Wikipedia

  • Taylor series — Series expansion redirects here. For other notions of the term, see series (mathematics). As the degree of the Taylor polynomia …   Wikipedia

  • List of Ghost in the Shell: Stand Alone Complex episodes — The collection box released in North America by Manga Entertainment. Ghost in the Shell: Stand Alone Complex (攻殻機動隊 STAND ALONE COMPLEX, Kōkaku Kidōtai Sutando Arōn Konpurekkusu …   Wikipedia

  • Mount Edziza volcanic complex — Mount Edziza, one of the main volcanoes of the Mount Edziza volcanic complex Elevation …   Wikipedia

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