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multiplicative complexity

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  • Arithmetic complexity of the discrete Fourier transform — See Fast Fourier transform#Bounds on complexity and operation counts for a general summary of this issue.Bounds on the multiplicative complexity of FFTIn his PhD thesis in 1987 [1] , Michael Heidman focus on the arithmetic theory of complexity… …   Wikipedia

  • Modular multiplicative inverse — The modular multiplicative inverse of an integer a modulo m is an integer x such that That is, it is the multiplicative inverse in the ring of integers modulo m. This is equivalent to The multiplicative inverse of a modulo m exists if and only if …   Wikipedia

  • Time complexity — In computer science, the time complexity of an algorithm quantifies the amount of time taken by an algorithm to run as a function of the size of the input to the problem. The time complexity of an algorithm is commonly expressed using big O… …   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

  • Dima Grigoriev — Dima (Dmitry) Grigoriev Born 10 May 1954 (1954 05 10) (age 57) St.Petersburg …   Wikipedia

  • Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …   Wikipedia

  • Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …   Wikipedia

  • DTIME — In computational complexity theory, DTIME (or TIME) is the computational resource of computation time for a deterministic Turing machine. It represents the amount of time (or number of computation steps) that a normal physical computer would take …   Wikipedia

  • Quadratic residue — In number theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer x such that: Otherwise, q is called a quadratic nonresidue modulo n. Originally an abstract… …   Wikipedia

  • Chromatic polynomial — All nonisomorphic graphs on 3 vertices and their chromatic polynomials, clockwise from the top. The independent 3 set: k3. An edge and a single vertex: k2(k − 1). The 3 path: k(k − 1)2. The 3 clique …   Wikipedia

  • Naor-Reingold Pseudorandom Function — In 1997, Moni Naor and Omer Reingold described efficient constructions for various cryptographic primitives in private key as well as public key cryptography. Their result is the construction of an efficient pseudorandom function. Let p and l be… …   Wikipedia

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