a Newton polynomial, named after its inventor Isaac Newton, is an interpolation polynomial for a given set of data points. The Newton polynomial is sometimes...

polynomial, commonly given by two explicit formulas, the Lagrange polynomials and Newton polynomials. The original use of interpolation polynomials was...

In mathematics, the Newton polygon is a tool for understanding the behaviour of polynomials over local fields, or more generally, over ultrametric fields...

polynomials Associated Legendre polynomials Spherical harmonic Lucas polynomials Macdonald polynomials Meixner polynomials Necklace polynomial Newton...

formula published in 1783 by Leonhard Euler. Uses of Lagrange polynomials include the Newton–Cotes method of numerical integration, Shamir's secret sharing...

In mathematics, Newton's identities, also known as the Girard–Newton formulae, give relations between two types of symmetric polynomials, namely between...

Sir Isaac Newton (4 January [O.S. 25 December] 1643 – 31 March [O.S. 20 March] 1727) was an English polymath active as a mathematician, physicist, astronomer...

inequalities Newton's laws of motion Newton's notation Newton polygon Newton polynomial Newton's religious views Newton series Newton's theorem of revolving...

Finding the roots of polynomials is a long-standing problem that has been extensively studied throughout the history and substantially influenced the...

of a Taylor series is a polynomial of degree n that is called the nth Taylor polynomial of the function. Taylor polynomials are approximations of a function...

only to polynomials, but he avoided Newton's tedious rewriting process by extracting each successive correction from the original polynomial. This allowed...

. {\displaystyle m,n,q.} Horner's method Polynomial sequence Newton polynomial Lagrange polynomial Legendre polynomial Bernstein form Chebyshev form...

Puiseux's theorem, sometimes also called the Newton–Puiseux theorem, asserts that, given a polynomial equation P ( x , y ) = 0 {\displaystyle P(x,y)=0}...

Isaac Newton's apple tree at Woolsthorpe Manor represents the inspiration behind Sir Isaac Newton's theory of gravity. While the precise details of Newton's...

use Newton's formula in actual practice, consider the first few terms of doubling the Fibonacci sequence f = 2, 2, 4, ... One can find a polynomial that...

the k-th elementary symmetric function σk of the roots α of a polynomial P(t). (Cf. Newton's identities.) Here Λk denotes the k-th exterior power. From classical...

In numerical analysis, the Newton–Cotes formulas, also called the Newton–Cotes quadrature rules or simply Newton–Cotes rules, are a group of formulas...

number Newton polygon Newton polynomial Newton polytope Newton series (finite differences) also known as Newton interpolation, see Newton polynomial Newton's...

The Newton fractal is a boundary set in the complex plane which is characterized by Newton's method applied to a fixed polynomial p(z) ∈ C {\displaystyle...

difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Selberg's polynomials, and...

Fluxions were introduced by Isaac Newton to describe his form of a time derivative (a derivative with respect to time). Newton introduced the concept in 1665...

elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed...

The Isaac Newton Group of Telescopes or ING consists of three optical telescopes: the William Herschel Telescope, the Isaac Newton Telescope, and the Jacobus...

coefficients can be determined by taking the Taylor polynomial (if continuous) or Newton polynomial (if discrete). Algorithmic examples include: The amount...

The Isaac Newton Telescope or INT is a 2.54 m (100 in) optical telescope run by the Isaac Newton Group of Telescopes at Roque de los Muchachos Observatory...

{\displaystyle p^{n-1}-1.\ } The key condition is in terms of the d-th Newton polynomial sd, evaluated on the (algebraic) total Chern class of the tangent...

numerical analysis, a Bernstein polynomial is a polynomial expressed as a linear combination of Bernstein basis polynomials. The idea is named after mathematician...

algorithm System of polynomial equations – Roots of multiple multivariate polynomials Kantorovich theorem – About the convergence of Newton's method Press,...

is a method of polynomial interpolation, which generalizes Lagrange interpolation. Lagrange interpolation allows computing a polynomial of degree less...

approximations of roots of functions, the best being Newton's method, see Root-finding algorithm. For polynomials, there are specialized algorithms that are more...