^ A calculator for piecewise regression.

'Max-min representation of piecewise linear functions'.

You will then describe your motion by writing a piecewise. Piecewise-defined functions can also have. In this activity, you will create a graph by moving back and forth in front of a Motion Detector. 'Segmented: an R package to fit regression models with broken-line relationships' (PDF). The function in this example is piecewise-linear, because each of the three parts of the graph is a line. 'Estimating regression models with unknown break‐points'. 'Fitting piecewise linear regression functions to biological responses'. In general, for every n-dimensional continuous piecewise linear function f : R n → R : CS1 maint: url-status ( link) Important sub-classes of piecewise linear functions include the continuous piecewise linear functions and the convex piecewise linear functions. This guarantees that the graph of the function will be composed of polygonal or polytopal pieces. Piecewise definition is actually a way of expressing the function, rather than a characteristic of the function itself. In dimensions higher than one, it is common to require the domain of each piece to be a polygon or polytope. (In these contexts, the term “linear” does not refer solely to linear transformations, but to more general affine linear functions.) In each case, the function may be real-valued, or it may take values from a vector space, an affine space, a piecewise linear manifold, or a simplicial complex. Piecewise linear functions may be defined on n-dimensional Euclidean space, or more generally any vector space or affine space, as well as on piecewise linear manifolds, simplicial complexes, and so forth.

The notion of a piecewise linear function makes sense in several different contexts. A piecewise linear function in two dimensions (top) and the convex polytopes on which it is linear (bottom)

Piecewise graph