piecewise continuous

  • 1Piecewise — 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… …

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  • 2piecewise — /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.… …

    Universalium

  • 3piecewise — 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… …

    Useful english dictionary

  • 4Continuous 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.… …

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  • 5piecewise — adverb Date: 1674 with respect to a number of discrete intervals, sets, or pieces < piecewise continuous functions > …

    New Collegiate Dictionary

  • 6Piecewise 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 …

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  • 7Piecewise 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&#8230; …

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  • 8Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus&#160; Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …

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  • 9Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) …

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  • 10DEVS — abbreviating Discrete Event System Specification is a modular and hierarchical formalism for modeling and analyzing general systems that can be discrete event systems which might be described by state transition tables, and continuous state&#8230; …

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