Results 1 to 3 of 3

Math Help - Equivalence relation problem

  1. #1
    cub
    cub is offline
    Newbie
    Joined
    Nov 2009
    Posts
    2

    Equivalence relation problem

    .
    Last edited by cub; November 2nd 2009 at 06:25 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,657
    Thanks
    1607
    Awards
    1
    Quote Originally Posted by cub View Post
    Hi, i'm having a bit of trouble with a couple of problems:

    1. Define the relation ~ on R^2 by (x1,y1)~(x2,y2)<=>2(y1-y2)=(x1-x2). Show that ~ is an equivalence relation and describe geometrically the equivalence classes.

    2. let ~ be an equivalence relation on Z such n~n+5 and n~n+8. prove that n~m for all n,m in Z.
    Can you show what work you have done thus far on these?
    We cannot help if we don't know where you have trouble.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    cub
    cub is offline
    Newbie
    Joined
    Nov 2009
    Posts
    2
    For part 1 i know that i need to show that it is reflexive, symmetric and transitive to show that it is an equivalence relation. But i'm not sure how to go about doing that.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Equivalence relation and total ordering problem
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: June 27th 2010, 05:48 PM
  2. Quick equivalence relation problem
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 12th 2009, 06:43 PM
  3. Equivalence relation problem
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 8th 2009, 08:30 AM
  4. Equivalence relation and order of each equivalence class
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 30th 2009, 09:03 AM
  5. Important Equivalence Relation Problem
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: August 5th 2009, 11:33 PM

Search Tags


/mathhelpforum @mathhelpforum