of numerical analysis, a Bernstein polynomial is a polynomial expressed as a linear combination of Bernstein basis polynomials. The idea is named after...
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mathematics, the Bernstein–Sato polynomial is a polynomial related to differential operators, introduced independently by Joseph Bernstein (1971) and Mikio...
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In mathematics, Bernstein's theorem is an inequality relating the maximum modulus of a complex polynomial function on the unit disk with the maximum modulus...
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(mathematics) Bernstein polynomial Characteristic polynomial Minimal polynomial Invariant polynomial Abel polynomials Actuarial polynomials Additive polynomials All...
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Runge's phenomenon (section Bernstein polynomial)
oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation...
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analysis) Bernstein inequalities in probability theory Bernstein polynomial Bernstein's problem Bernstein's theorem (approximation theory) Bernstein's theorem...
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Bézier curve (redirect from Bernstein-Bézier curve)
mathematical basis for Bézier curves—the Bernstein polynomials—was established in 1912, but the polynomials were not applied to graphics until some 50...
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In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data. Given a...
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analysis, De Casteljau's algorithm is a recursive method to evaluate polynomials in Bernstein form or Bézier curves, named after its inventor Paul de Casteljau...
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Bernstein polynomials is outlined on that page. For differentiable functions, Jackson's inequality bounds the error of approximations by polynomials of...
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Spline (mathematics) (redirect from Piecewise polynomial curve)
function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields...
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\lfloor n/2\rfloor } . The radial polynomial may therefore be expressed by a finite number of Bernstein Polynomials with rational coefficients: R n m...
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NP (complexity) (redirect from Nondeterministic polynomial time)
computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems. NP is...
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Mathématique de France, Paris, ISBN 978-2-85629-878-7, MR 0751966 Bernstein–Sato polynomial Bernstein–Gelfand–Gelfand resolution A Refugee at Harvard — Harvard's...
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Cubic Hermite spline (redirect from Cubic Hermite Polynomial)
at those boundaries. The "Bernstein" column shows the decomposition of the Hermite basis functions into Bernstein polynomials of order 3: B k ( t ) = (...
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In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through...
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mathematics, Bernstein's theorem may refer to: Bernstein's theorem about the Sato–Bernstein polynomial Bernstein's problem about minimal surfaces Bernstein's theorem...
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the mathematicians who have worked on orthogonal polynomials include Gábor Szegő, Sergei Bernstein, Naum Akhiezer, Arthur Erdélyi, Yakov Geronimus, Wolfgang...
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Newton polynomial, named after its inventor Isaac Newton, is an interpolation polynomial for a given set of data points. The Newton polynomial is sometimes...
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The Chebyshev polynomials are two sequences of orthogonal polynomials related to the cosine and sine functions, notated as T n ( x ) {\displaystyle T_{n}(x)}...
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more sophisticated applications of multiplexers include serving as Bernstein polynomial function generator, capable of producing arbitrary mathematical functions...
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{\displaystyle B_{i}^{n}(u)={n \choose i}u^{i}(1-u)^{n-i}} is a basis Bernstein polynomial, and ( n i ) = n ! i ! ( n − i ) ! {\displaystyle {n \choose i}={\frac...
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theory, a Kazhdan–Lusztig polynomial P y , w ( q ) {\displaystyle P_{y,w}(q)} is a member of a family of integral polynomials introduced by David Kazhdan...
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geometry and mathematical physics Sergey Bernstein, developed the Bernstein polynomial, Bernstein's theorem and Bernstein inequalities in probability theory...
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S2CID 53338058. Hanson, T.; de Carvalho, M.; Chen, Yuhui (2017). "Bernstein polynomial angular densities of multivariate extreme value distributions" (PDF)...
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The Bernstein–Vazirani algorithm, which solves the Bernstein–Vazirani problem, is a quantum algorithm invented by Ethan Bernstein and Umesh Vazirani in...
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Akansu, A Generalized Parametric PR-QMF Design Technique Based on Bernstein Polynomial Approximation, IEEE Trans. Signal Process., pp. 2314–2321, July 1993...
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uniformly by polynomials, or certain other function spaces Approximation by polynomials: Linear approximation Bernstein polynomial — basis of polynomials useful...
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independent but not necessarily identically distributed random variables Bernstein polynomial L-estimator – linear combinations of order statistics Rank-size distribution...
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analysis, and expanding on the work of Sato and Joseph Bernstein on the Bernstein–Sato polynomial. Early major results were the Kashiwara constructibility...
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