Results 1 to 2 of 2

Math Help - Quick question on equivalence class theory

  1. #1
    Junior Member
    Joined
    Nov 2009
    Posts
    38

    Quick question on equivalence class theory

    Say I have a relationship on integers defined by given a, b in integers, a is related to b iff a^2 = b^2

    Then the equivalence class of [271] would be what?

    Is it [271] = {-271} or is [271] = {271, -271}?

    What I mean is, [271] is the set of all things related to 271, but would you list 271 in there as well? My guess is yes, but I just want to make sure.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by swtdelicaterose View Post
    Say I have a relationship on integers defined by given a, b in integers, a is related to b iff a^2 = b^2

    Then the equivalence class of [271] would be what?

    Is it [271] = {-271} or is [271] = {271, -271}?

    What I mean is, [271] is the set of all things related to 271, but would you list 271 in there as well? My guess is yes, but I just want to make sure.

    If the relation is reflexive, as this one is, you must count each element in its class, so [271]=\{-271,\,271\}

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Equivalence Class Question
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: February 17th 2010, 02:58 PM
  2. Equivalence relation and order of each equivalence class
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 30th 2009, 09:03 AM
  3. equivalence class help :(
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: September 25th 2009, 06:24 AM
  4. equivalence class ?
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: October 29th 2008, 08:42 AM
  5. equivalence class
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: September 20th 2008, 06:32 PM

Search Tags


/mathhelpforum @mathhelpforum