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Piecewise properties may be exemplified in:
Calculus
editA function property holds piecewise for a function, if the function can be piecewise-defined in a way that the property holds for every subdomain. Examples of functions with such piecewise properties are:
- Piecewise constant function, also known as a step function
- Piecewise linear function
- Piecewise continuous function
- Piecewise smooth function
- Piecewise differentiable function
Other
editThe concept of piecewise-defined functions is often generalized:
- Piecewise linear curve
- Piecewise polynomial curve, also known as a spline
- Piecewise linear manifold