complex number theoretic transform algorithm

complex number theoretic transform algorithm
abbr. CNTT algorithm
алгоритм теоретического преобразования комплексных чисел (комплексный аналог ДПФ)

Англо-русский словарь промышленной и научной лексики. 2014.

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  • Number-theoretic transform — The number theoretic transform (NTT) is similar to the discrete Fourier transform, but operates with modular arithmetic on integers instead of complex numbers.DefinitionThe discrete Fourier transform is given by:f j=sum {k=0}^{n 1}x kleft(e^{… …   Wikipedia

  • Discrete Fourier transform (general) — See also: Fourier transform on finite groups This article is about the discrete Fourier transform (DFT) over any field (including finite fields), commonly called a number theoretic transform (NTT) in the case of finite fields. For specific… …   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

  • Schönhage-Strassen algorithm — The Schönhage Strassen algorithm is an asymptotically fast multiplication algorithm for large integers. It was developed by Arnold Schönhage and Volker Strassen in 1971. [A. Schönhage and V. Strassen, Schnelle Multiplikation großer Zahlen ,… …   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

  • Fürer's algorithm — is an integer multiplication algorithm for very large numbers possessing a very low asymptotic complexity. It was created in 2007 by Martin Fürer of Pennsylvania State UniversityFuhrer, M. (2007). Faster Integer Multiplication in Proceedings of… …   Wikipedia

  • Multiplication algorithm — A multiplication algorithm is an algorithm (or method) to multiply two numbers. Depending on the size of the numbers, different algorithms are in use. Efficient multiplication algorithms have existed since the advent of the decimal system.… …   Wikipedia

  • Determining the number of clusters in a data set — Determining the number of clusters in a data set, a quantity often labeled k as in the k means algorithm, is a frequent problem in data clustering, and is a distinct issue from the process of actually solving the clustering problem. For a certain …   Wikipedia

  • Fourier analysis — In mathematics, Fourier analysis is a subject area which grew out of the study of Fourier series. The subject began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The… …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia


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