Results 1 to 2 of 2

Math Help - Heaviside Step Function?

  1. #1
    Newbie scott_237's Avatar
    Joined
    Feb 2008
    Posts
    13

    Heaviside Step Function?

    This seems like an easy enough question to do but could somebody explain how to do question 8)b) HERE using the heaviside step functions? Thanks a lot
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by scott_237 View Post
    This seems like an easy enough question to do but could somebody explain how to do question 8)b) HERE using the heaviside step functions? Thanks a lot
    First there is an ambiguity in how the Heaviside step is defined at the jump. if you are working with the \mathcal{H}(0)=1/2 definition you can't match the function at the jumps. I'm not geing to worry about the definition at the jumps and assume the definition of \mathcal{H} that you have is OK for this function.

    The jumps are at x=-1 and x=+1, so:

    f(x)=(-1-x)+\mathcal{H}(x+1)[(1+x)+2]+\mathcal{H}(x-1)[-2+(x-1)^2]

    That is the first term on the right is the function definition on x<-1 extended to the whole of \mathbb{R} , the second term is is zero for x<-1 and for x \ge 1 subtracts the first term to get rid of it where we dont need it and adds in the function on the diddle segment of the domain.

    The third term removes the middle function and adds in the right most part of the function for x \ge 1.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Laplace transform with heaviside step function
    Posted in the Differential Equations Forum
    Replies: 27
    Last Post: July 14th 2012, 01:46 AM
  2. Heaviside/Unit Step Function and other piecewise functions
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: November 19th 2010, 05:48 PM
  3. D.E involving the heaviside step function
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: October 28th 2009, 01:07 AM
  4. Heaviside step function graph
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 17th 2008, 10:15 AM
  5. Unit step function/Heaviside function.
    Posted in the Advanced Applied Math Forum
    Replies: 5
    Last Post: April 23rd 2008, 09:34 PM

Search Tags


/mathhelpforum @mathhelpforum