• In mathematics, a polynomial is a mathematical expression consisting of indeterminates (also called variables) and coefficients, that involves only the...
    60 KB (8,176 words) - 08:55, 16 November 2024
  • Thumbnail for Time complexity
    Quasi-polynomial time algorithms are algorithms whose running time exhibits quasi-polynomial growth, a type of behavior that may be slower than polynomial time...
    41 KB (4,998 words) - 13:56, 19 November 2024
  • In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues...
    19 KB (3,038 words) - 11:34, 3 October 2024
  • 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 (3,977 words) - 21:06, 13 September 2024
  • In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The...
    17 KB (2,789 words) - 13:54, 2 October 2024
  • systems get a short check value attached, based on the remainder of a polynomial division of their contents. On retrieval, the calculation is repeated...
    72 KB (5,953 words) - 06:47, 12 September 2024
  • Thumbnail for Chebyshev polynomials
    The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions, notated as T n ( x ) {\displaystyle T_{n}(x)} and...
    61 KB (11,470 words) - 21:33, 11 November 2024
  • In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalized version...
    13 KB (2,206 words) - 15:59, 22 October 2024
  • In numerical analysis, polynomial interpolation is the interpolation of a given bivariate data set by the polynomial of lowest possible degree that passes...
    47 KB (9,011 words) - 21:39, 19 November 2024
  • especially in the field of algebra, a polynomial ring or polynomial algebra is a ring formed from the set of polynomials in one or more indeterminates (traditionally...
    52 KB (8,218 words) - 10:33, 30 October 2024
  • In mathematics, a homogeneous polynomial, sometimes called quantic in older texts, is a polynomial whose nonzero terms all have the same degree. For example...
    6 KB (1,039 words) - 12:03, 7 February 2024
  • 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 (2,787 words) - 14:08, 19 September 2024
  • precisely, it is a polynomial function of the coefficients of the original polynomial. The discriminant is widely used in polynomial factoring, number...
    41 KB (6,705 words) - 09:49, 12 November 2024
  • Thumbnail for NP-completeness
    existence of a short (polynomial length) solution. The correctness of each solution can be verified quickly (namely, in polynomial time) and a brute-force...
    30 KB (3,617 words) - 17:49, 12 November 2024
  • Thumbnail for Bernstein polynomial
    numerical analysis, a Bernstein polynomial is a polynomial expressed as a linear combination of Bernstein basis polynomials. The idea is named after mathematician...
    25 KB (4,464 words) - 16:14, 14 September 2024
  • Thumbnail for Polynomial regression
    In statistics, polynomial regression is a form of regression analysis in which the relationship between the independent variable x and the dependent variable...
    16 KB (2,426 words) - 05:32, 14 November 2024
  • and runs in polynomial time (as opposed to, say, exponential time) exists, meaning the task completion time is bounded above by a polynomial function on...
    63 KB (7,782 words) - 18:22, 10 November 2024
  • Minimal polynomial can mean: Minimal polynomial (field theory) Minimal polynomial of 2cos(2pi/n) Minimal polynomial (linear algebra) This disambiguation...
    169 bytes (50 words) - 20:57, 11 October 2022
  • an irreducible polynomial is, roughly speaking, a polynomial that cannot be factored into the product of two non-constant polynomials. The property of...
    20 KB (2,849 words) - 15:55, 24 October 2024
  • Thumbnail for Spline (mathematics)
    function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields...
    26 KB (4,481 words) - 08:48, 28 September 2024
  • In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: signal processing as Hermitian wavelets...
    57 KB (10,041 words) - 18:16, 6 November 2024
  • Newton polynomial, named after its inventor Isaac Newton, is an interpolation polynomial for a given set of data points. The Newton polynomial is sometimes...
    26 KB (5,843 words) - 03:39, 13 December 2023
  • In mathematics, a generic polynomial refers usually to a polynomial whose coefficients are indeterminates. For example, if a, b, and c are indeterminates...
    4 KB (560 words) - 15:00, 14 February 2024
  • symmetric polynomial is a polynomial P(X1, X2, ..., Xn) in n variables, such that if any of the variables are interchanged, one obtains the same polynomial. Formally...
    21 KB (3,833 words) - 01:08, 26 January 2024
  • A polynomial P is annihilating or called an annihilating polynomial in linear algebra and operator theory if the polynomial considered as a function of...
    1 KB (107 words) - 16:53, 27 May 2024
  • In mathematics, the nth cyclotomic polynomial, for any positive integer n, is the unique irreducible polynomial with integer coefficients that is a divisor...
    30 KB (5,071 words) - 06:25, 5 November 2024
  • mathematics, the order of a polynomial may refer to: the degree of a polynomial, that is, the largest exponent (for a univariate polynomial) or the largest sum...
    804 bytes (144 words) - 16:07, 1 August 2024
  • Thumbnail for Legendre polynomials
    mathematics, Legendre polynomials, named after Adrien-Marie Legendre (1782), are a system of complete and orthogonal polynomials with a wide number of...
    31 KB (5,593 words) - 11:34, 19 November 2024
  • Thumbnail for Local regression
    regression or local polynomial regression, also known as moving regression, is a generalization of the moving average and polynomial regression. Its most...
    18 KB (2,525 words) - 11:34, 27 September 2024
  • Thumbnail for Zero of a function
    root of a polynomial is a zero of the corresponding polynomial function. The fundamental theorem of algebra shows that any non-zero polynomial has a number...
    8 KB (1,038 words) - 06:00, 4 April 2024