piecewise continuous function

  • 61Non-uniform rational B-spline — Three dimensional NURBS surfaces can have complex, organic shapes. Control points influence the directions the surface takes. The outermost square below delineates the X/Y extents of the surface …

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  • 62Maximum entropy probability distribution — In statistics and information theory, a maximum entropy probability distribution is a probability distribution whose entropy is at least as great as that of all other members of a specified class of distributions. According to the principle of… …

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  • 63Mountain climbing problem — Example of the problem resolution. In mathematics, the mountain climbing problem is a problem of finding conditions two function forming profiles of a two dimensional mountain must satisfy, so that two climbers can start on the bottom on the… …

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  • 64Illustration of the central limit theorem — This article gives two concrete illustrations of the central limit theorem. Both involve the sum of independent and identically distributed random variables and show how the probability distribution of the sum approaches the normal distribution… …

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  • 65MUSCL scheme — MUSCL stands for Monotone Upstream centered Schemes for Conservation Laws , and the term was introduced in a seminal paper by Bram van Leer (van Leer, 1979). In this paper he constructed the first high order , total variation diminishing (TVD)… …

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  • 66Nyquist–Shannon sampling theorem — Fig.1: Hypothetical spectrum of a bandlimited signal as a function of frequency The Nyquist–Shannon sampling theorem, after Harry Nyquist and Claude Shannon, is a fundamental result in the field of information theory, in particular… …

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  • 67Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite …

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  • 68Nonuniform rational B-spline — Non uniform rational B spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. History Development of NURBS (Non Uniform Rational Basis Spline) began in the 1950s by engineers …

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  • 69Partially observable Markov decision process — A Partially Observable Markov Decision Process (POMDP) is a generalization of a Markov Decision Process. A POMDP models an agent decision process in which it is assumed that the system dynamics are determined by an MDP, but the agent cannot… …

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  • 70Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… …

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