mandelbrotov skup
TRANSCRIPT
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Mandelbrotov skup
Babović Vesna
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Mandelbrotov skupje skup kompleksnih brojeva zn+1 = zn
2 + c, n=0,1,2,... gde je: c = a + ib, z0 = 0
(a,b ∈R).
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y
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Naziv je dobio po francuskom matematičaru Benoit Mandelbrot (1924– 2010).
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Mandelbrotov skup - Kako se dobija?!Kompleksne brojeve zn+1 predstavimo u ravni (njihovo rastojanje do koordinatnog početka je manje od 2).
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y
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Mandelbrotov skup - Kako se dobija?!Kompleksne brojeve zn+1 predstavimo u ravni:
-1
y
1
1
-1
-2 -1
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Mandelbrotov skup - Kako se dobija?!Kompleksne brojeve zn+1 predstavimo u ravni:
-1
y
1
1
-1
-2 -1
![Page 6: Mandelbrotov skup](https://reader036.vdocuments.pub/reader036/viewer/2022062523/587d25b41a28ab1c2f8b675b/html5/thumbnails/6.jpg)
Mandelbrotov skup - Kako se dobija?!Kompleksne brojeve zn+1 predstavimo u ravni:
-1
y
1
1
-1
-2 -1
![Page 7: Mandelbrotov skup](https://reader036.vdocuments.pub/reader036/viewer/2022062523/587d25b41a28ab1c2f8b675b/html5/thumbnails/7.jpg)
Mandelbrotov skup - Kako se dobija?!Kompleksne brojeve zn+1 predstavimo u ravni:
-1
y
1
1
-1
-2 -1
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je najpoznatiji geometriski fraktal: Mandelbrotov skup
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Mandelbrotov skup
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Mandelbrotov skup
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Mandelbrot i Julia skupovi
Mandelbrotov skup je usko povezan sa Julia-novim skupovima. Ime su dobili po francuskom matematičaru Gaston Maurice Julia (1893– 1978).
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