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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. | ||
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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]] | ||
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+ | For any <math>T \not=0, x+T \not= x</math> for any <math>x</math> |
Latest revision as of 20:01, 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
For any $ T \not=0, x+T \not= x $ for any $ x $