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What is" congruence modulo m"

How is it an equivalence relation?

Asked by agarrajeev06 11th January 2019, 1:47 PM
Answered by Expert
If two numbers b and c have the property that their difference (b-c) is integrally divisible by a number m
i.e., (b-c)/m is an integer, then b and c are said to be "congruent modulo m "

The number m is called the modulus, and the statement " b is congruent to c (modulo m) " is
written mathematically as

b ≡ c(mod m).
Answered by Expert 11th January 2019, 1:57 PM
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