Results 1 to 2 of 2

Thread: Euclidean vs Manhattan vs Chebyshev distance question

  1. #1
    Newbie
    Joined
    Apr 2010
    Posts
    1

    Euclidean vs Manhattan vs Chebyshev distance question

    Imagine three points A,B and C. Is it possible AB>AC in Euclidean distance but AC>AB in Manhattan or Chebyshev distance?
    Or if AB>AC in one distance norm then AB>AC in any other distance norm?
    I will be grateful if you state your source(s).

    Thanks from Greece!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    10
    Quote Originally Posted by Mastermind View Post
    Imagine three points A,B and C. Is it possible AB>AC in Euclidean distance but AC>AB in Manhattan or Chebyshev distance?
    Or if AB>AC in one distance norm then AB>AC in any other distance norm?
    I will be grateful if you state your source(s).
    If A = (0,0), B = (6,0) and C = (3,4) then AB>AC in Euclidean distance (because 6>5) but AC>AB in Manhattan distance (because 3+4=7>6).

    If A = (0,0), B = (6,8) and C = (9,0) then AB>AC in Euclidean distance (because 10>9) but AC>AB in Chebyshev distance (because max{6,8}=8<9).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Euclidean distance between points
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Jun 6th 2010, 12:21 PM
  2. Replies: 3
    Last Post: Aug 30th 2009, 01:11 PM
  3. euclidean distance in feature space
    Posted in the Algebra Forum
    Replies: 0
    Last Post: Jan 19th 2009, 12:38 AM
  4. Expected squared euclidean distance
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: Jan 18th 2009, 09:23 AM
  5. [SOLVED] MDS and Euclidean distance
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: Dec 9th 2006, 01:28 AM

Search tags for this page

Click on a term to search for related topics.

Search Tags


/mathhelpforum @mathhelpforum