







An equivalence relation 
20090422 

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 
20080827 

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 xy}. 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 
20080319 

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 
20070718 

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 
20020706 

From Siddhartha: what is the no. of equivalence and transitive relations on a set of cardinality n? Answered by Penny Nom. 





Equivalence Relations 
19990506 

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. 

