Acronyms

RRS

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RRSRoyal Regiment of Scotland (UK)
RRSRacing Rules of Sailing (international rules for racing sailboats)
RRSRange Rover Sport (car)
RRSRegional Remote Sensing (Tucson, AZ)
RRSRoad Racing Series
RRSRational Response Squad
RRSRoundup Ready Soybean (agriculture)
RRSRound Robin Scheduler (software)
RRSResource Recovery Services
RRSRemote Registry Service
RRSRenal Risk Stratification
RRSRadon Reduction System (various companies)
RRSRegistered Relocation Specialist
RRSRack Room Shoes
RRSRoyal Research Ship
RRSReduced Residue System (mathematics)
RRSRéseaux de Réussite Scolaire (French: Academic Success Network)
RRSRapid Response System
RRSRequest Routing System (computing)
RRSRadiation Research Society
RRSRevell Research Systems (UK)
RRSResource Recovery Services (IBM)
RRSRapid Response Service
RRSResource and Referral Service
RRSRecruiting and Retention School
RRSRome Research Site
RRSRational Robust and Secure (negotiations in multi-agent systems)
RRSRisk Reduction Strategy
RRSResonant Raman Scattering
RRSRemote Replication System
RRSRoad Restraint System
RRSRegistration Repository System
RRSRallye Racing Sport (French sports equipment retailer)
RRSRaise Responsibility System (motivational discipline and learning system)
RRSRemote Receiving Station
RRSRegional Research Site
RRSRecovery of RNA Synthesis
RRSRadio Relay Squadron
RRSRemote Radio Site
RRSRegister Reuse Scheduling
RRSroute reflector server
RRSReplicate Replication Server
RRSRural Radio Service
RRSResource Reporting System (US FDA)
RRSRegulatory Reform Staff (US EPA)
RRSRetrograde Rocket System
RRSRestraint Release System
RRSRadio Repeater Set
RRSRetired Reserve Section
RRSRotor Resistance Starting
RRSRetarder Response Solenoid
RRSRetarder Response System
RRSReadiness Reportable Status
RRSRandomly Rough Surface
RRSRemainder of Route Same
RRSReceive Repair System
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References in periodicals archive
If we replace the complete system of incongruent residues modulo m in this theorem by a reduced residue system modulo m, the result is not true.
Suppose that [a.sub.1], [a.sub.2], ..., [a.sub.[phi](m)] is a reduced residue system modulo m, then k[a.sub.1] + b, k[a.sub.2] + b, ..., k[a.sub.[phi](m)] + b is also a reduced residue system modulo m if and only if one of the following two conditions hold:
Let n; d be positive integers, n > 1 and d|n: Then every reduced residue system modulo n can be divided into [phi](n)/[phi](d) reduced residue systems modulo d.
If [a.sub.1], [a.sub.2], ..., [a.sub.[phi](m)] is a reduced residue system modulo m, then [a.sub.1] + b, [a.sub.2] + b, ..., [a.sub.[phi](m)] + b is also a reduced residue system modulo m if and only if [p.sub.1] ...
The number of distinct integers in a reduced residue system (mod n) is important here.
Note that a reduced residue system (mod n) is a complete system of nonzero residues (mod n) if and only if n is prime.
Thus there exist p - 1 distinct numbers (mod p) all coprime with p - that is, a reduced residue system with p - 1 distinct numbers (mod p) - hence p is prime.
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