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File:JSr07885.gif

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JSr07885.gif (500 × 400 pixels, file size: 8.25 MB, MIME type: image/gif, looped, 360 frames, 14 s)

Captions

Captions

Julia set

Summary

[edit]
Description
Русский: Анимация множества Жюлиа для квадратичного полинома fc(z)=z^2+C. Значения C для каждого кадра вычисляются по формуле: C=r*cos(a)+i*r*sin(a), где: a=(0..2*Pi), r=0,7885. Таким образом, параметр С описывает круг с радиусом r=0,7885 и центром в начале координат комплексной плоскости.
Смоделировано в Matlab R2011b используя алгоритм escape-time: A=10e6, max_iter=81. Цветовая схема - зеркалированный jet(40).
Українська: Анімація множини Жюліа для квадратичного полінома fc(z)=z^2+C. Значення C для кожного кадру обчислюються за формулою: C=r*cos(a)+i*r*sin(a), де: a=(0..2*Pi), r=0,7885. Таким чином, параметр С описує коло з радіусом r=0,7885 та центром в початку координат комплексної площини.
Змодельовано в Matlab R2011b за алгоритмом escape-time: A=10e6, max_iter=81. Кольорова схема - зеркальований jet(40).
English: The animation of the Julia set for the complex quadratic polinomial fc(z)=z^2+C. Values of C for each frame evaluates by equation: C=r*cos(a)+i*r*sin(a), where: a=(0..2*Pi), r=0.7885. Thus, parameter С outlines circle with a radius r=0.7885 and a center at origin of the complex plane.
Created in Matlab R2011b using escape-time algorithm:A=10e6, max_iter=81. Colormap - mirorred jet(40).
Polski: Animacja zbioru Julii dla wielomianu kwadratowego zmiennej zespolonej . Wartości dla każdej ramki są obliczane ze wzoru , gdzie , . A zatem, parametr opisuje okrąg o promieniu i środku w początku płaszczyzny zespolonej.
Stworzono w Matlabie R2011b przy użyciu algorytmu escape-time: A=10e6, max_iter=81. Mapa kolorów – odwrócony jet(40).
Čeština: Animace Juliovy množiny pro komplexní kvadratický polynom fc(z)=z^2+C.
Deutsch: Animation der Julia-Menge des komplexen quadratischen Polynoms fc(z)=z^2+C.
Date
Source Own work
Author Maxter315
GIF development
InfoField
 
This animation was created with MATLAB.

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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Assessment

[edit]
Media of the day This file was selected as the media of the day for 22 April 2019. It was captioned as follows:
English: The animation of the Julia set for the complex quadratic polinomial fc(z)=z^2+C.
Other languages
Čeština: Animace Juliovy množiny pro komplexní kvadratický polynom fc(z)=z^2+C.
Deutsch: Animation der Julia-Menge des komplexen quadratischen Polynoms fc(z)=z^2+C.
English: The animation of the Julia set for the complex quadratic polinomial fc(z)=z^2+C.
Polski: Animacja zbioru Julii dla wielomianu kwadratowego zmiennej zespolonej .
Русский: Анимация множества Жюлиа для квадратичного полинома fc(z)=z^2+C.
Українська: Анімація множини Жюліа для квадратичного полінома fc(z)=z^2+C

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Date/TimeThumbnailDimensionsUserComment
current17:50, 22 October 2015Thumbnail for version as of 17:50, 22 October 2015500 × 400 (8.25 MB)Maxter315 (talk | contribs)User created page with UploadWizard

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