File:Julia N z3 -2z 2.jpg
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DescriptionJulia N z3 -2z 2.jpg |
English: Julia set (in white) for en:Newton's method for , i.e.
Deutsch: Julia-Menge der Newton-Iteration (das Newton-Fraktal) des Polynoms : Die türkis-, beige- und pinkfarbene Areale sind die Einzugsgebiete der drei Nullstellen des Polynoms. Startwerte aus den roten Arealen werden von einem Zyklus der Länge 2 angezogen, konvergieren damit nicht gegen eine der Nullstellen. Startwerte aus der weißen Arealen, welche die Grenze zwischen den einzelnen Einzugsgebieten bildet, hüpfen wild umher und konvergieren ebenfalls nicht gegen eine der Nullstellen. |
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Source | eigene Arbeit, siehe de:Benutzer:Georg-Johann/Mathematik#Visualising Julia sets | |||
Author | Georg-Johann Lay | |||
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double h, s, v; v = afunc(ss, EX*2.5, 2./sigma); v = 1-pow(1-v,2); { cplx w,z = f(o); double d = ccabstand (0, z); d = 0.6*exp (-d*8); if (ccabstand (0, oz) < 1e-5 || ccabstand (1, oz) < 1e-5) { d = ccabstand (.5, o); d = 0.6*exp (-sqrt(d)*20); h = 0; } else { z = cpolar (oz); h = sin (z.y/2)/2; } v = 1-(1-v)*(1-d); color = hsv2rgb (h, 1.-v, v); }
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current | 14:29, 28 March 2008 | 2,000 × 1,500 (164 KB) | Georg-Johann (talk | contribs) | {{Information |Description= Julia set for N_f, f=z^3-2z+2 |Source=eigene Arbeit |Date=2008-08-28 |Author= Georg-Johann Lay |Permission={{PD-self}} |other_versions=- }} |
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