1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Ordered triples

  1. Feb 17, 2010 #1
    Moderators note: thread moved to homework area.

    Please note, homework assignments or textbook style exercises for which you are seeking assistance are to be posted in the appropriate forum in our https://www.physicsforums.com/forumdisplay.php?f=152" area. This should be done whether the problem is part of one's assigned coursework or just independent study.


    Expand the following down to their representations as sets and simplify.
    i.) ⟨1, 2, 3⟩1 =
    ii.) ⟨1, 2, 2⟩1 =


    These are the definitions i have
    Recall the defintion of ordered pairs:
    ⟨a, b⟩ def = {{a}, {a, b}}
    Recall the following expansion and simplification from class
    ⟨a, a,⟩ = {{a}, {a, a}} = {{a}, {a}} = {{a}}
    Using ordered pairs we could define ordered triples in two different ways:
    ⟨a, b, c⟩1 def = ⟨a, ⟨b, c⟩⟩
    ⟨a, b, c⟩2 def = ⟨⟨a, b⟩, c⟩
     
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
  3. Feb 18, 2010 #2

    CompuChip

    User Avatar
    Science Advisor
    Homework Helper

    So... you have the definitions - what's stopping you?
    Just plug in the numbers!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook