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Periodic functions are functions that repeat over and over for a specific period. More specifically, a function is periodic if there exists some number T>0 such that f(x)=f(x+T) for all possible values of x. | Periodic functions are functions that repeat over and over for a specific period. More specifically, a function is periodic if there exists some number T>0 such that f(x)=f(x+T) for all possible values of x. | ||
One common example of this is the tangent function, which has a period of \pi. | One common example of this is the tangent function, which has a period of \pi. | ||
| − | [[Image:301-1_ECE301Fall2008mboutin]] | + | |
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| + | [[Image:301-1_ECE301Fall2008mboutin.gif]] | ||
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| + | ==Non Periodic Functions== | ||
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| + | Non periodic functions are functions for which there exists no T>0 such that f(x)=f(x+T) for all possible values of x. | ||
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| + | A simple example of this is y=x | ||
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| + | [[Image:301-2_ECE301Fall2008mboutin.gif]] | ||
Revision as of 16:59, 4 September 2008
Periodic Functions
Periodic functions are functions that repeat over and over for a specific period. More specifically, a function is periodic if there exists some number T>0 such that f(x)=f(x+T) for all possible values of x.
One common example of this is the tangent function, which has a period of \pi.
Non Periodic Functions
Non periodic functions are functions for which there exists no T>0 such that f(x)=f(x+T) for all possible values of x.
A simple example of this is y=x
