| Line 3: | Line 3: | ||
<math>x(t) = sin(t)</math> | <math>x(t) = sin(t)</math> | ||
| − | Clearly, <math>x(t)</math> is periodic because there is a <math>T > 0</math> such that <math>x(t + T) = x(t)</math> for all | + | Clearly, <math>x(t)</math> is periodic because there is a <math>T > 0</math> such that <math>x(t + T) = x(t)</math> for all <math>t</math>. An obvious example for <math>t</math> would be <math>t = 2\pi</math>. |
Revision as of 20:13, 4 September 2008
A Periodic Function
$ x(t) = sin(t) $
Clearly, $ x(t) $ is periodic because there is a $ T > 0 $ such that $ x(t + T) = x(t) $ for all $ t $. An obvious example for $ t $ would be $ t = 2\pi $.
