A function or curve is piecewise continuous if it is continuous on all but a finite number of points at which certain matching conditions are sometimes required.
Piecewise Continuous
See also
Continuous, Continuous FunctionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Piecewise Continuous." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PiecewiseContinuous.html