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reduced residue

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  • 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

  • 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 (complex analysis) — In mathematics, more specifically complex analysis, the residue is a complex number proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities. (More generally, residues can be calculated for… …   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

  • Low residue diet — A low residue diet is a diet designed to reduce the frequency and volume of stools while prolonging intestinal transit time. It is similar to a low fiber diet, but typically includes restrictions on foods that increase bowel activity, such as… …   Wikipedia

  • 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

  • List of mathematics articles (R) — NOTOC R R. A. Fisher Lectureship Rabdology Rabin automaton Rabin signature algorithm Rabinovich Fabrikant equations Rabinowitsch trick Racah polynomials Racah W coefficient Racetrack (game) Racks and quandles Radar chart Rademacher complexity… …   Wikipedia

  • Reduction — Reduction, reduced, or reduce may refer to:cienceChemistry*Reduction – chemical reaction in which atoms have their oxidation number (oxidation state) changed. **Reduced gas – a gas with a low oxidation number **Ore reduction: see… …   Wikipedia

  • Great Chinese Famine — History of the People s Republic of China     1949–1976, The Mao Era         …   Wikipedia

  • Tillage — Cultivating after early rain. Tillage is the agricultural preparation of the soil by mechanical agitation of various types, such as digging, stirring, and overturning. Examples of human powered tilling methods using hand tools include …   Wikipedia

  • environmental works — ▪ civil engineering Introduction       infrastructure that provides cities and towns with water supply, waste disposal, and pollution control services. They include extensive networks of reservoirs, pipelines, treatment systems, pumping stations …   Universalium

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