Results 1 to 2 of 2

Math Help - Gaussian function -> Intergral = 1??

  1. #1
    Newbie
    Joined
    Dec 2009
    Posts
    2

    Gaussian function -> Intergral = 1??

    Please Help!!

    I am struggling with this since hours!

    the gaussian function is  g(x) = a*exp(-(x-b)^2/(2*c^2))
    This integral is 1 if and only if a = 1/(c*sqrt(2*PI)).
    How is it possible then, that for example if c = 0.1, a = 1.0 / (0.1 * sqrt(2.0 * PI)) = 3.9894228.

    I mean how can the integral be one, if g(0) is larger than one??

    Any ideas what my mistake is here?

    Thanks a lot!!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jan 2010
    From
    Illinois
    Posts
    30

    Integral = Area

    Suppose a rectangle is 2 units high and 1/2 unit wide. The area is 1.
    If an integral is 1 (area under a curve), it could be a "narrow" curve, such as the one you have mentioned. Such a small value of c is an indication of this.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. linearise gaussian function
    Posted in the Statistics Forum
    Replies: 0
    Last Post: April 20th 2011, 03:32 AM
  2. Intergral- Max and min of function problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 14th 2010, 03:37 PM
  3. Find the intergral of sine function
    Posted in the Calculus Forum
    Replies: 4
    Last Post: August 26th 2009, 12:56 AM
  4. Finding the intergral of the function?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 25th 2009, 06:55 AM
  5. integration of a 2D gaussian function
    Posted in the Calculus Forum
    Replies: 8
    Last Post: June 6th 2008, 05:23 AM

Search Tags


/mathhelpforum @mathhelpforum