piecewise continuous function

  • 31Fundamental theorem of calculus — The fundamental theorem of calculus specifies the relationship between the two central operations of calculus, differentiation and integration.The first part of the theorem, sometimes called the first fundamental theorem of calculus, shows that… …

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  • 32Johann Peter Gustav Lejeune Dirichlet — Gustav Lejeune Dirichlet Johann Peter Gustav Lejeune Dirichlet Born 13 Fe …

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  • 33List of types of functions — Functions can be classified according to the properties they have. These properties describe the functions behaviour under certain conditions.Relative to set theoryThese properties concern the domain, the codomain and the range of functions. *… …

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  • 34Céa's lemma — is a lemma in mathematics. It is an important tool for proving error estimates for the finite element method applied to elliptic partial differential equations. Contents 1 Lemma statement 2 Error estimate in the energy norm 3 …

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  • 35Conditioning (probability) — Beliefs depend on the available information. This idea is formalized in probability theory by conditioning. Conditional probabilities, conditional expectations and conditional distributions are treated on three levels: discrete probabilities,… …

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  • 36Hankel transform — Besides the meaning discussed in this article, the Hankel transform may also refer to the determinant of the Hankel matrix of a sequence .In mathematics, the Hankel transform of order nu; of a function f ( r ) is given by::F u(k) = int 0^infty… …

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  • 37Mechanism design — The Stanley Reiter diagram above illustrates a game of mechanism design. The upper left space Θ depicts the type space and the upper right space X the space of outcomes. The social choice function f(θ) maps a type profile to an outcome. In games… …

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  • 38PDIFF — 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… …

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  • 39Chebyshev polynomials — Not to be confused with discrete Chebyshev polynomials. In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev,[1] are a sequence of orthogonal polynomials which are related to de Moivre s formula and which can be defined… …

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  • 40Euler-Bernoulli beam equation — Euler Bernoulli beam theory, or just beam theory, is a simplification of the linear theory of elasticity which provides a means of calculating the load carrying and deflection characteristics of beams. It was first enunciated circa 1750, but was… …

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