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== Periodic Functions == | == Periodic Functions == | ||
A periodic function is a function which repeats over a period of time. A good example of periodic functions are: | A periodic function is a function which repeats over a period of time. A good example of periodic functions are: | ||
− | :*<math>\,y = sin( | + | :*<math>\,y = sin(t)</math> |
[[Image:Oddsinx_ECE301Fall2008mboutin.gif]] | [[Image:Oddsinx_ECE301Fall2008mboutin.gif]] | ||
− | :*<math>\,y = cos( | + | As you can see, this function repeats itself with a period of <math>2\pi</math> |
+ | :*<math>\,y = cos(t)</math> | ||
+ | As you can see, this function repeats itself with a period of <math>2\pi</math> | ||
[[Image:Evencosx_ECE301Fall2008mboutin.gif]] | [[Image:Evencosx_ECE301Fall2008mboutin.gif]] | ||
Revision as of 05:13, 4 September 2008
Periodic Functions
A periodic function is a function which repeats over a period of time. A good example of periodic functions are:
- $ \,y = sin(t) $
As you can see, this function repeats itself with a period of $ 2\pi $
- $ \,y = cos(t) $
As you can see, this function repeats itself with a period of $ 2\pi $
Non-Periodic Functions
Non periodic functions don't repeat. A good example of non-periodic functions are:
- $ \,y = x^2 $
- $ \,y = e^x $