# Difference between revisions of "Piecewise Continuous function"

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− | A piecewise continuous function ''f'' is a function whose domain can be divided into a | + | A piecewise continuous function ''f'' is a function whose domain can be divided into a finite number of pieces, and the restriction of ''f'' on each piece is a [[continuous function]]. Piecewise continuous functions are interesting because [[Fourier series]] works on such functions. (That is, the resynthesized function from the Fourier analysis is equal to the original function wherever that function was continuous.) |

[[category: mathematics]] | [[category: mathematics]] |

## Revision as of 23:28, 17 May 2007

A piecewise continuous function *f* is a function whose domain can be divided into a finite number of pieces, and the restriction of *f* on each piece is a continuous function. Piecewise continuous functions are interesting because Fourier series works on such functions. (That is, the resynthesized function from the Fourier analysis is equal to the original function wherever that function was continuous.)