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Piecewise Linear




In Mathematics , a Piecewise linear function

:f: \Omega o V,

where ''V'' is a Vector Space and \Omega is a
subset of a vector space, is any function with the property that \Omega can be decomposed into finitely many Convex Polytope s, such that ''f'' is equal to a Linear Function on each of these polytopes.

A special case is when ''f'' is a real-valued function on an interval {Link without Title} . Then ''f'' is piecewise linear
if and only if {Link without Title} can be partitioned into finitely many sub-intervals, such that on each such
sub-interval ''I'', ''f'' is equal to a linear function

f