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equivalence relation

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An equivalence relation 2009-04-22
From syed:
D is the relation defined on Z as follows:

Z is an integer

For all m,n E Z, m D n if and only if 3 l (m^2 - n^2).

Find out whether the above relation satisfies to reflexive , Symmetric & transitive? Is it an equivalence?

Answered by Robert Dawson.
An equivalence relation 2008-08-27
From Francesca:
In this problem we are told to find out if the given set is an equivalence relation or not. {(x,y) such that 4 divides x-y}. What I am confused about is whether or not for instance if I picked (1,5) as a part of the set whether I could put in (5,1) as well or whether that would be wrong. Thanks!
Answered by Victoria West.
Equivalence relation 2008-03-19
From Hmod:
State with reasons, whether the relation R on N X N given by mRn if m and n have difefrent remainders on division by 2 is an Equivalence relation
Answered by Victoria West.
Equivalence relations 2007-07-18
From jim:
Determine whether the given relation is an equivalence relation on the set. Describe the partition arising from each equivalence relations.
1. x is Related to y in Real number if lxl=lyl.
2. n is Related to m in Z+ if n and m have the same number of digits in the usual base ten notation.

Let n be a particular integer in Z+. Show that congruence modulo n is an equivalence relation on Z.

Answered by Harley Weston.
Equivalence relations on a set of cardinality n 2002-07-06
From Siddhartha:
what is the no. of equivalence and transitive relations on a set of cardinality n?
Answered by Penny Nom.
Equivalence Relations 1999-05-06
From Megan:
I am tutoring a boy who got this assignment from his teacher and I have no clue how to do it because I don't even know what the questions is asking! I need some help. Hereit is: "Give five examples of relations which are not equivalent relations and five examples of equivalent relations and explain why they are equivalent relations." This is seventh grade and I read about it in his book but it is not coming together for me.
Answered by Chris Fisher.



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