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5th September 2011, 04:44 PM
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Difference between Residue classes and complete residue classes?


What is the difference between Residue classes and Complete residue classes




  #2  
30th June 2016, 11:14 PM
secret29
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Default Re: Difference between Residue classes and complete residue classes?

Residue Class : This set, consisting of the integers congruent to a modulo n, is called the congruence class or residue class or simply residue of the integer a, modulo n.

Complete residue classes : The term Complete Residue class was given by scientist "Thomas" & Thomas defines a complete residue class as a set S = { r , s , … } such that for every integer k there exists a member of S , call it m , such that k is congruent to m mod n or in the problem at hand mod 11. The complete residue system partitions the set of integers.
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