most recent 30 from http://mathoverflow.net 2013-05-23T17:52:25Z http://mathoverflow.net/feeds/question/107108 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/107108/transforming-a-continuous-function Fido 2012-09-13T17:10:59Z 2012-09-13T17:10:59Z

<p>Hello Everyone,</p> <p>My math is quite limited so please bear with me. I will get to the point: Is there a way to transform a continuous function into a discrete one?</p> <p>In essence I have a normalized Gaussian distribution defined by:</p> <p>$y = b + \frac{a}{c\sqrt{\frac{\pi}{2}}} \cdot e^{\frac{-2(x-d)^{2}}{c^{2}}}$</p> <p>I am only interested in values of $y$ for $0 \leq x \leq 500$. a,b,c and d are parameters.</p> <p>I would like to maintain the ability of the curve to be a normalised probability distribution but only for $0 \leq x \leq 500$.</p> <p>Is there a way of doing this or am I trying the impossible?</p> <p>Thanks to anyone that can render assistance.</p>