Changes

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.)

A piecewise continuous function ''f'' is a function whose domain can be divided into a [[countable]] 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]]