Fr.: par morceaux
piecewise continuous function
karyâ-ye peyvaste-ye tekke-yi
Fr.: fonction continue par morceaux
A function f(x) in an interval if :1) the interval can be divided into a finite number of pieces in each of which f(x) is continuous, and 2) the limits of f(x) as x approaches the boundary point of each piece are finite. In other words, a piecewise continuous function is one that is made up of a finite number of continuous pieces.