piecewise continuous function
1Piecewise 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… …
2Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …
3piecewise — /pees wuyz /, adv. Math. denoting that a function has a specified property, as smoothness or continuity, on each of a finite number of pieces into which its domain is divided: a piecewise continuous function; a piecewise differentiable curve.… …
4piecewise — ˈpēsˌwīz adverb Etymology: piece (I) + wise : with respect to a number of discrete intervals, sets, or pieces * * * /pees wuyz /, adv. Math. denoting that a function has a specified property, as smoothness or continuity, on each of a finite… …
5Piecewise — 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… …
6Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …
7Function space — In mathematics, a function space is a set of functions of a given kind from a set X to a set Y . It is called a space because in many applications, it is a topological space or a vector space or both. ExamplesFunction spaces appear in various… …
8Continuous 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.… …
9Doubly-periodic function — In mathematics, a doubly periodic function is a function f defined at all points z in a plane and having two periods , which are linearly independent vectors u and v such that:f(z) = f(z + u) = f(z + v).,The doubly periodic function is thus a two …
10Piecewise 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 …
