modular symbol

modular symbol
мат.
модулярный символ

English-Russian scientific dictionary. 2008.

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  • Modular arithmetic — In mathematics, modular arithmetic (sometimes called clock arithmetic) is a system of arithmetic for integers, where numbers wrap around after they reach a certain value the modulus. The Swiss mathematician Leonhard Euler pioneered the modern… …   Wikipedia

  • modular arithmetic — arithmetic in which numbers that are congruent modulo a given number are treated as the same. Cf. congruence (def. 2), modulo, modulus (def. 2b). [1955 60] * * * sometimes referred to as  modulus arithmetic  or  clock arithmetic        in its… …   Universalium

  • Jacobi symbol — The Jacobi symbol is a generalization of the Legendre symbol introduced by Jacobi in 1837 [C.G.J.Jacobi Uber die Kreisteilung und ihre Anwendung auf die Zahlentheorie , Bericht Ak. Wiss. Berlin (1837) pp 127 136] . It is of theoretical interest… …   Wikipedia

  • Q-Pochhammer symbol — In mathematics, in the area of combinatorics, a q Pochhammer symbol, also called a q shifted factorial, is a q analog of the common Pochhammer symbol. It is defined as :(a;q) n = prod {k=0}^{n 1} (1 aq^k)=(1 a)(1 aq)(1 aq^2)cdots(1 aq^{n 1}).The… …   Wikipedia

  • Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n. [1] An example of an arithmetic… …   Wikipedia

  • Weierstrass's elliptic functions — In mathematics, Weierstrass s elliptic functions are elliptic functions that take a particularly simple form; they are named for Karl Weierstrass. This class of functions are also referred to as p functions and generally written using the symbol… …   Wikipedia

  • Error detection and correction — In mathematics, computer science, telecommunication, and information theory, error detection and correction has great practical importance in maintaining data (information) integrity across noisy channels and less than reliable storage… …   Wikipedia

  • Sun Microsystems — Sun Microsystems, Inc. Logo used from the 1990s until acquisition by Oracle Former type Subsidiary Industry Computer systems Computer software Fate …   Wikipedia

  • Proofs of Fermat's little theorem — This article collects together a variety of proofs of Fermat s little theorem, which states that:a^p equiv a pmod p ,!for every prime number p and every integer a (see modular arithmetic). Simplifications Some of the proofs of Fermat s little… …   Wikipedia

  • Kloosterman sum — In mathematics, a Kloosterman sum is a particular kind of exponential sum. Let a , b , m be natural numbers. Then :K(a,b;m)=sum {0leq xleq m 1, gcd(x,m)=1 } e^{2pi i (ax+bx^*)/m},Here x* is the inverse of x modulo m . They are named for the Dutch …   Wikipedia

  • ГОСТ Р ИСО/МЭК 19762-2-2011: Информационные технологии. Технологии автоматической идентификации и сбора данных (АИСД). Гармонизированный словарь. Часть 2. Оптические носители данных (ОНД) — Терминология ГОСТ Р ИСО/МЭК 19762 2 2011: Информационные технологии. Технологии автоматической идентификации и сбора данных (АИСД). Гармонизированный словарь. Часть 2. Оптические носители данных (ОНД) оригинал документа: 04.02.13 ( n, k)… …   Словарь-справочник терминов нормативно-технической документации


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