







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. 





Prove (p & ~q) v p = p 
20080212 

From Tom: Prove (p & ~q) v p = p
Do I need to use the absorption law p v (p & q)=p? If yes,how do I cope with the NOT(~) in q?Thank you. Answered by Harley Weston. 





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. 





Two problems 
20021014 

From Eva:
a) How many different equivalence relations can be defined on the set X={a,b,c,d}? b)Show that 6 divides the product of any 3 consecutive integers. I know it is true that 6 divides the product of any 3 consecutive integers. However, i have problem showing the proof. Answered by Leeanne Boehm and Penny Nom. 





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. 





Ounces and milliliters 
19990417 

From Tony Rizzi: I'm mixing a formula of: 48 oz distilled water. 15 grams of Hydroxy Ethyl Cellulose GR (powder) 30 grams of Hydroxy Ethyl Cellulose MR (powder) 200 grams of Barium Sulfate (powder) 1000 grams of Calcium Hydroxide (powder) After mixing, I need to estimate the amount of each ingredient that fits in a 3ml syringe. And how many syringes I can fill? Answered by Harley weston. 

