• Thumbnail for Bernstein polynomial
    of numerical analysis, a Bernstein polynomial is a polynomial expressed as a linear combination of Bernstein basis polynomials. The idea is named after...
    26 KB (4,491 words) - 06:11, 25 February 2025
  • mathematics, the Bernstein–Sato polynomial is a polynomial related to differential operators, introduced independently by Joseph Bernstein (1971) and Mikio...
    11 KB (1,578 words) - 08:10, 20 May 2025
  • 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...
    4 KB (551 words) - 08:39, 28 May 2025
  • Thumbnail for Runge's phenomenon
    oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation...
    14 KB (2,067 words) - 23:22, 16 April 2025
  • analysis) Bernstein inequalities in probability theory Bernstein polynomial Bernstein's problem Bernstein's theorem (approximation theory) Bernstein's theorem...
    11 KB (950 words) - 07:22, 24 January 2025
  • (mathematics) Bernstein polynomial Characteristic polynomial Minimal polynomial Invariant polynomial Abel polynomials Actuarial polynomials Additive polynomials All...
    5 KB (441 words) - 01:35, 1 December 2023
  • Thumbnail for Lagrange polynomial
    In numerical analysis, the Lagrange interpolating polynomial is the unique polynomial of lowest degree that interpolates a given set of data. Given a...
    21 KB (3,939 words) - 23:17, 16 April 2025
  • Thumbnail for 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...
    50 KB (6,981 words) - 14:05, 10 February 2025
  • 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...
    27 KB (3,234 words) - 13:07, 24 May 2025
  • Thumbnail for Spline (mathematics)
    function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields...
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  • Thumbnail for Zernike polynomials
    \lfloor n/2\rfloor } . The radial polynomial may therefore be expressed by a finite number of Bernstein Polynomials with rational coefficients: R n m...
    42 KB (6,470 words) - 10:18, 27 May 2025
  • Thumbnail for NP (complexity)
    computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems. NP is...
    21 KB (2,784 words) - 18:11, 6 May 2025
  • Thumbnail for Joseph Bernstein
    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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  • at those boundaries. The "Bernstein" column shows the decomposition of the Hermite basis functions into Bernstein polynomials of order 3: B k ( t ) = (...
    18 KB (3,102 words) - 10:56, 19 March 2025
  • In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through...
    47 KB (9,027 words) - 21:42, 3 April 2025
  • the mathematicians who have worked on orthogonal polynomials include Gábor Szegő, Sergei Bernstein, Naum Akhiezer, Arthur Erdélyi, Yakov Geronimus, Wolfgang...
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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...
    500 bytes (83 words) - 13:35, 4 May 2025
  • Newton polynomial, named after its inventor Isaac Newton, is an interpolation polynomial for a given set of data points. The Newton polynomial is sometimes...
    27 KB (5,932 words) - 13:39, 26 March 2025
  • Thumbnail for Chebyshev polynomials
    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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  • {\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...
    6 KB (816 words) - 18:51, 15 May 2025
  • Thumbnail for Multiplexer
    more sophisticated applications of multiplexers include serving as Bernstein polynomial function generator, capable of producing arbitrary mathematical functions...
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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...
    24 KB (3,330 words) - 07:27, 8 April 2025
  • Thumbnail for Extreme value theory
    S2CID 53338058. Hanson, T.; de Carvalho, M.; Chen, Yuhui (2017). "Bernstein polynomial angular densities of multivariate extreme value distributions" (PDF)...
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  • Thumbnail for List of Russian mathematicians
    geometry and mathematical physics Sergey Bernstein, developed the Bernstein polynomial, Bernstein's theorem and Bernstein inequalities in probability theory...
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  • uniformly by polynomials, or certain other function spaces Approximation by polynomials: Linear approximation Bernstein polynomial — basis of polynomials useful...
    70 KB (8,335 words) - 20:20, 17 April 2025
  • Thumbnail for Daubechies wavelet
    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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  • 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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  • Thumbnail for Order statistic
    independent but not necessarily identically distributed random variables Bernstein polynomial L-estimator – linear combinations of order statistics Rank-size distribution...
    28 KB (4,933 words) - 10:34, 6 February 2025
  • The Bernstein–Kushnirenko theorem (or Bernstein–Khovanskii–Kushnirenko (BKK) theorem), proven by David Bernstein and Anatoliy Kushnirenko [ru] in 1975...
    4 KB (686 words) - 10:27, 4 May 2025