- Piecewise linear
Piecewise linear may refer to:
*
Piecewise linear function
*Piecewise linear manifold
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Piecewise linear
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piecewise linear — adjective a) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces b) Having a defining atlas such that there is a piecewise linear … Wiktionary
Piecewise linear function — In mathematics, a piecewise linear function :f: Omega o V, where V is a vector space and Omega is asubset of a vector space, is any function with the property that Omega can be decomposed into finitely many convex polytopes, such that f is equal… … Wikipedia
Piecewise linear continuation — implicial ContinuationSimplicial Continuation, or Piecewise Linear Continuation (Allgower and Georg [1] , [3] ) is a one parameter continuation method which is well suited to small to medium embedding spaces. The algorithm has been generalized to … Wikipedia
Piecewise linear manifold — In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise… … Wikipedia
Piecewise — In mathematics, a piecewise defined function (also called a piecewise function) is a function whose definition is dependent on the value of the independent variable. Mathematically, a real valued function f of a real variable x is a relationship… … Wikipedia
Continuous linear extension — In functional analysis, it is often convenient to define a linear transformation on a complete, normed vector space X by first defining a linear transformation on a dense subset of X and then extending to the whole space via the theorem below.… … Wikipedia
Network analysis (electrical circuits) — Linear Network Analysis Elements … Wikipedia
Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based … Wikipedia
List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra … Wikipedia
PDIFF — Splines are piecewise smooth, hence in PDIFF, but not globally smooth or piecewise linear, hence not in DIFF or PL. In geometric topology, PDIFF, for piecewise differentiable, is the category of piecewise smooth manifolds and piecewise smooth… … Wikipedia
