Results 1 to 2 of 2

Math Help - one one mapping

  1. #1
    Member
    Joined
    Feb 2010
    Posts
    87

    one one mapping

    Mapping f: N --> N is defined by f(n)=n-(-1)n . How to show that f is one-one?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2012
    From
    Athens, OH, USA
    Posts
    635
    Thanks
    257

    Re: one one mapping

    Hi,
    As usual assume f(n) = f(m) and show n = m. To do this first show from f(n) = f(m) that it is impossible that one of n, m is even and the other is odd. Then finish it up.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Complex open mapping & conformal mapping problems.
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: February 22nd 2011, 07:26 AM
  2. Mapping
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: April 20th 2010, 07:19 AM
  3. Mapping onto
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 30th 2009, 05:28 PM
  4. Mapping: one-to-one and onto
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: November 6th 2008, 07:41 PM
  5. Help in Mapping..
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: July 2nd 2008, 07:13 PM

Search Tags


/mathhelpforum @mathhelpforum