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set residue

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  • Residue number system — A residue number system (RNS) represents a large integer using a set of smaller integers, so that computation may be performed more efficiently. It relies on the Chinese remainder theorem of modular arithmetic for its operation, a mathematical… …   Wikipedia

  • Residue field — In mathematics, the residue field is a basic construction in commutative algebra. If R is a commutative ring and m is a maximal ideal, then the residue field is the quotient ring k = R / m , which is a field. Frequently, R is a local ring and m… …   Wikipedia

  • Residue class-wise affine group — In mathematics, residue class wise affine groups are certain permutation groups acting on mathbb{Z} (the integers),whose elements are bijective residue class wise affine mappings.A mapping f: mathbb{Z} ightarrow mathbb{Z} is called residue class… …   Wikipedia

  • residue class — noun Date: 1948 the set of elements (as integers) that leave the same remainder when divided by a given modulus …   New Collegiate Dictionary

  • residue class — noun : the set of elements (as integers) that leave the same remainder when divided by a given modulus …   Useful english dictionary

  • Quadratic residue code — A quadratic residue code is a type of cyclic code.There is a quadratic residue code of length pover the finite field GF(l) whenever pand l are primes, p is odd andl is a quadratic residue modulo p.Its generator polynomial as a cyclic code is… …   Wikipedia

  • Maximum Residue Limit — Pesticide residues on crops are monitored with reference to Maximum Residue Limits (MRL) and are based on analysis of quantity of a given AI remaining on food product samples. The MRL is usually determined by measurement, following a number (in… …   Wikipedia

  • Pesticide residue — refers to the pesticides that may remain on or in food after they are applied to food crops. [GoldBookRef|title=pesticide residue|file=P04520] Regulation of pesticide residue in the US In the US, tolerances for the amount of pesticide residue… …   Wikipedia

  • Reduced residue system — A reduced residue system modulo n is a set of phi( n ) integers such that each integer is relatively prime to n and no two are congruent modulo n . Here phi denotes Euler s totient function.Facts*If { r 1, r 2, dots, r {varphi(n)} } is a reduced… …   Wikipedia

  • Causal set theory bibliography — Main article: Causal Sets This Causal Set Theory Bibliography is intended to aid causal set research. It gathers together academic papers, books, talks and PhD theses related to causal set theory and is intended to help readers find references… …   Wikipedia

  • Covering system — In mathematics, a covering system (also called a complete residue system) is a collection of finitely many residue classes whose union covers all the integers. Unsolved problems in mathematics For any arbitrarily large natural number N does there …   Wikipedia

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