| Line 1: | Line 1: | ||
| + | =Definition of the Dirac Delta Distribution= | ||
<math> | <math> | ||
\delta(t) = \lim_{\epsilon\rightarrow0} | \delta(t) = \lim_{\epsilon\rightarrow0} | ||
Latest revision as of 10:11, 30 January 2011
Definition of the Dirac Delta Distribution
$ \delta(t) = \lim_{\epsilon\rightarrow0} \frac{1}{\epsilon}\left[u(t+\epsilon/2) - u(t-\epsilon/2)\right], $
where $ u(t) = 0 $ for $ t<0 $ and $ u(t)=1 $ for $ t\geq0 $
