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...

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...

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...

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

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

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...

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

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...

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}...

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

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...

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

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

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

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...

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

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

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

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...

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

points, see Householder. An elegant shortcut to the proof, bypassing Newton polynomials, was introduced by Hou. The bulk of the presentation here follows...

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

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

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...

A}}\right){\frac {1}{U\!B}}.\,\!} Divided differences Fermat theory Newton polynomial Rectangle method Quotient rule Symmetric difference quotient Peter...

"generalized binomial coefficients" appear in Newton's generalized binomial theorem. For each k, the polynomial ( t k ) {\displaystyle {\tbinom {t}{k}}} can...