Results 1 to 2 of 2

Math Help - regluated and continous function example

  1. #1
    Junior Member
    Joined
    Oct 2012
    From
    uk
    Posts
    41

    regluated and continous function example

    could someone give me the example that the function is:



    A) regulated and discontinuous

    B)not regulated and discontinous
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,925
    Thanks
    1764
    Awards
    1

    Re: regluated and continous function example

    Quote Originally Posted by cummings123321 View Post
    A) regulated and discontinuous

    B)not regulated and discontinous
    I had to look up that term. I have always called such functions quasi-continuous.

    For A, use any step function. For example the floor function on [0,10].


    For B, use any discontinous function which is not of bounded variation.

    Here is a function which is continuous but not q-continuous.
    \left\{ {\begin{array}{rr}   {x^2 \sin \left( {\frac{1}{{x^2 }}} \right),} & {x \ne 0}  \\   {0,} & {x = 0}  \\ \end{array} } \right.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. continous function
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: June 13th 2012, 10:06 AM
  2. Continous function (prove)
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: November 4th 2010, 06:32 PM
  3. Continous function
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: March 16th 2009, 12:31 PM
  4. continous function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 3rd 2008, 08:01 PM
  5. Continous Function Help! :C
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 23rd 2008, 02:51 PM

Search Tags


/mathhelpforum @mathhelpforum