piecewise continuous function

  • 21First-order hold — The first order hold (FOH) is a mathematical model of the practical reconstruction of sampled signals that could be done by a conventional digital to analog converter (DAC) and an analog circuit called an integrator. For the FOH, the signal is… …

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  • 22Cellular neural network — Cellular neural networks (CNN) are a parallel computing paradigm similar to neural networks, with the difference that communication is allowed between neighbouring units only. Typical applications include image processing, analyzing 3D surfaces,… …

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  • 23DEVS — 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… …

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  • 24Zero-order hold — The zero order hold (ZOH) is a mathematical model of the practical signal reconstruction done by a conventional digital to analog converter (DAC). That is, it describes the effect of converting a discrete time signal to a continuous time signal… …

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  • 25Morera's theorem — If the integral along every C is zero, then ƒ is holomorphic on D. In complex analysis, a branch of mathematics, Morera s theorem, named after Giacinto Morera, gives an important criterion for proving that a function is holomorphic. Morera s… …

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  • 26Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …

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  • 27Lipschitz continuity — In mathematics, more specifically in real analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a smoothness condition for functions which is stronger than regular continuity. Intuitively, a Lipschitz continuous function is limited in… …

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  • 28Lorenz curve — The Lorenz curve is a graphical representation of the cumulative distribution function of a probability distribution; it is a graph showing the proportion of the distribution assumed by the bottom y % of the values. It is often used to represent… …

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  • 29Semi-continuity — For the notion of upper or lower semicontinuous multivalued function see: Hemicontinuity In mathematical analysis, semi continuity (or semicontinuity) is a property of extended real valued functions that is weaker than continuity. A extended real …

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  • 30Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …

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