In mathematics, piecewise properties may be exemplified in:
Calculus
A 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 function or piecewise smooth function
- Piecewise differentiable function
Other
The concept of piecewise-defined functions is often generalized:
- Piecewise linear curve
- Piecewise polynomial curve, also known as a spline (mathematics)
- Piecewise linear manifold
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