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・ Polynomial matrix
・ Polynomial regression
・ Polynomial remainder theorem
・ Polynomial representations of cyclic redundancy checks
・ Polynomial ring
・ Polynomial sequence
・ Polynomial signal processing
・ Polynomial SOS
・ Polynomial texture mapping
・ Polynomial transformations
・ Polynomial Wigner–Ville distribution
・ Polynomial-time algorithm for approximating the volume of convex bodies
・ Polynomial-time approximation scheme
・ Polynomial-time reduction
・ Polynomially reflexive space
Polynomiography
・ Polynoncus
・ Polynormal subgroup
・ Polynormande
・ Polynove Pole
・ Polynoxylin
・ Polynuclear
・ Polynucleobacter
・ Polynucleobacter acidiphobus
・ Polynucleobacter cosmopolitanus
・ Polynucleobacter difficilis
・ Polynucleobacter necessarius
・ Polynucleobacter rarus
・ Polynucleobacter-1 RNA motif
・ Polynucleotide


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Polynomiography : ウィキペディア英語版
Polynomiography
Polynomiography is the algorithmic visualization of polynomial equations for aesthetic, mathematical, and educational purposes. It is a nascent technique for polynomial root-finding with potential application in art, mathematics, and education.
== Introduction ==
The concept of Polynomiography arose out of a problem concerning polynomial root-finding in the 1990s by Bahman Kalantari. Kalantari became interested in polynomial root-finding when he was designing masters’ questions for an exam, related to approximations of the square root of two. As he delved deeper into the matter, his interest was piqued at the possibility of generating computer visualizations of the root-finding process. Images thus generated would be related to fractals, but distinct in that the former affords more control over the design than the latter.〔(【引用サイトリンク】author=Bahman Kalantari )〕 Additionally, a polynomiography image, called a ''polynomiograph'', does not necessarily exhibit fractal patterns.

Image:Nonfractal polynomiograph.png|Non-fractal polynomiograph of the polynomial p(z)=z^3-1
Image:Newtroot 1 0 0 m1.png|Newton fractal for three degree-3 roots p(z)=z^3-1 coloured by root reached

The name ''polynomiography'' was subsequently coined in 2000 as a portmanteau of the words polynomial and the Greek suffix ''-graphy''.〔(), ACM SIGGRAPH, Volume 38 Number 3, August 2004.〕 In 2005 Kalantari obtained a U.S. patent for the technology of Polynomiography.
〔(【引用サイトリンク】author=Krzysztof Gdawiec )

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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