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- ...] </ref><ref>Milovanovic, Gradimir V., et al. "Some properties of Boubaker polynomials and applications." AIP Conference Proceedings-American Institute of Physics ...lynomials (n=0-6), x=(-2,2).svg|thumb|right|600px|The first seven Boubaker polynomials.]] ...15 KB (2,189 words) - 15:29, 27 October 2023
- ...iew basic power polynomials while we transition to understanding Bernstein polynomials. ==Power and Bernstein Polynomials== ...6 KB (1,033 words) - 15:25, 27 October 2023
- The Legendre polynomials generate the [[../Power/|power]] series that solves Legendre's [[../Differe ...[../Mechanics/|mechanics]]. In a strange tangled web of fate, the Legendre polynomials are heavily used in electrostatics to solve [[../FluorescenceCrossCorrelati ...2 KB (270 words) - 15:25, 27 October 2023
- ...and called the ''Hermite polynomials'' <math>H_n(z)</math>.\, The Hermite polynomials may be defined explicitly by ...ying the [[../HermiteEquation/|Hermite equation]].\, The first six Hermite polynomials are ...3 KB (550 words) - 15:24, 27 October 2023
- A polynomial algebra <math>A[t]</math> is a vector space of polynomials, where the coefficients come from the given algebra <math>A</math>. The pol ...z \in A</math> is invertible, the first step is to consider the algebra of polynomials <math>A[t]</math>. The following figure shows how the algebra extension <ma ...7 KB (1,005 words) - 00:24, 16 June 2024
Page text matches
- The Legendre polynomials generate the [[../Power/|power]] series that solves Legendre's [[../Differe ...[../Mechanics/|mechanics]]. In a strange tangled web of fate, the Legendre polynomials are heavily used in electrostatics to solve [[../FluorescenceCrossCorrelati ...2 KB (270 words) - 15:25, 27 October 2023
- A polynomial algebra <math>A[t]</math> is a vector space of polynomials, where the coefficients come from the given algebra <math>A</math>. The pol ...z \in A</math> is invertible, the first step is to consider the algebra of polynomials <math>A[t]</math>. The following figure shows how the algebra extension <ma ...7 KB (1,005 words) - 00:24, 16 June 2024
- ...and called the ''Hermite polynomials'' <math>H_n(z)</math>.\, The Hermite polynomials may be defined explicitly by ...ying the [[../HermiteEquation/|Hermite equation]].\, The first six Hermite polynomials are ...3 KB (550 words) - 15:24, 27 October 2023
- ...iew basic power polynomials while we transition to understanding Bernstein polynomials. ==Power and Bernstein Polynomials== ...6 KB (1,033 words) - 15:25, 27 October 2023
- ==== Task (Working with Polynomials, 5 Points) ==== ...3 KB (447 words) - 12:25, 14 January 2025
- ...<math>l</math> and <math>l+1</math> produce polynomials called '''Legendre polynomials'''. ...2 KB (405 words) - 17:16, 31 March 2023
- :'''A''' – polynomials: <math>x^2,\ 3x^{50},</math> etc. === Polynomials and trigonometric functions === ...6 KB (1,191 words) - 17:44, 16 October 2024
- ...(x)=ax+by+c=0. The rational Bezier curve is really just a set of Bernstein polynomials and is in a parametric form. The process of determining the intersection po ...n elegant way to determine if polynomials have a common root. Let's take 2 polynomials: ...15 KB (2,722 words) - 17:10, 13 April 2016
- ...rst example, I just want an example to show that the solution is exact for polynomials of degree <math>2n-1</math>, using the <math>n</math>th degree Legendre pol ...ng the Gaussian Quadrature algorithm. Note that the zeros of the Legendre polynomials of degree <math>n</math> are <math>\frac{1}{\sqrt{3}}</math> and <math>-\fr ...12 KB (1,973 words) - 11:28, 17 December 2022
- ...] </ref><ref>Milovanovic, Gradimir V., et al. "Some properties of Boubaker polynomials and applications." AIP Conference Proceedings-American Institute of Physics ...lynomials (n=0-6), x=(-2,2).svg|thumb|right|600px|The first seven Boubaker polynomials.]] ...15 KB (2,189 words) - 15:29, 27 October 2023
- ====Example 3: Polynomials==== The space of <math>n</math>-th order polynomials forms a linear vector space. ...10 KB (1,661 words) - 19:04, 24 February 2025
- {Given a set of <math>n</math> points, exactly how many interpolating polynomials can be found to pass through the points?} ...2 KB (292 words) - 14:15, 25 February 2018
- Although there are many ways of representing a function <math>f(x)</math>, polynomials are the tool of choice for interpolation. ...ial with degree <math>\le n</math> is unique. However infinitely many such polynomials can be found with degree <math>>n\;</math>. ...13 KB (2,367 words) - 11:48, 20 August 2020
- ...erm is <math>(2z)^n</math> and called the [[../HermitePolynomials/|Hermite polynomials]]. ...2 KB (246 words) - 11:54, 27 October 2023
- == Convex combinations as polynomials of t == Convex combinations can be conceived as polynomials where the coefficients come from a vector space <math>(V,+,\cdot,\mathbb{R} ...24 KB (3,711 words) - 08:31, 7 December 2024
- *[[Topic:Schur polynomials]] ...2 KB (251 words) - 23:03, 26 July 2017
- ===stability polynomials of Runge-Kutta methods=== ...7 KB (1,229 words) - 11:08, 17 December 2022
- ==Integration of Polynomials== ...10 KB (2,021 words) - 18:44, 6 February 2025
- ...lines|Spline]] function approximates another function by defining a set of polynomials where each of these polynomials defines a specific piece of the resulting [[Splines|Spline]]. <math>S_0(x)< ...6 KB (984 words) - 01:38, 30 April 2020
- ...harmonic oscillator can be expressed as ''[[../HermitePolynomials/|Hermite polynomials]]'' in terms of the coordinates. In the coordinate representation the quant polynomials ...8 KB (1,066 words) - 08:36, 11 March 2023