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Mike Eden (5)

final exam notes

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MATH 135
Mike Eden

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MATH135 FINAL EXAM NOTES KATHY LIU 111 CONGRUENCEDefinition of Congruent Let m be a fixed positive integer If a b Z we say that a is congruent to b modulo m and writeb mod m a if mj ab If m ab we write a 6NOTb mod mProposition Congruence Is An Equivalence Relation CER Let a b c Z Then 1 aa mod m reflexivity 2 If ab mod m then ba mod m symmetry 3 If ab mod m and bc mod m then ac mod m transitivityProposition Properties of Congruence PG If a
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