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Jan
18
revised Properties of the Mandelbrot set, accessible without knowledge of topology?
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Jan
16
revised Properties of the Mandelbrot set, accessible without knowledge of topology?
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Jan
16
revised Properties of the Mandelbrot set, accessible without knowledge of topology?
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Jan
16
comment Properties of the Mandelbrot set, accessible without knowledge of topology?
@AndrewG: Being relatively new to this forum, I am not yet familiar with all its functions. If you tell me what exactly I must do to reward answers, and if I receive a good answer to this question, then I would certainly reward it.
Jan
15
revised Properties of the Mandelbrot set, accessible without knowledge of topology?
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Jan
15
comment Properties of the Mandelbrot set, accessible without knowledge of topology?
@Hagen von Eitzen: It seems that my answer to your question was more subtle than your question itself!
Jan
15
comment Properties of the Mandelbrot set, accessible without knowledge of topology?
@Ed Pegg: What do you do with those equations once you have found them?
Jan
15
comment Properties of the Mandelbrot set, accessible without knowledge of topology?
@Hagen von Eitzen: As long as the answer is useful, then I am sure there is a way (although I would suggest that you post that question in the 'Meta' section, to have someone more experienced at using this forum clarify that).
Jan
15
comment Properties of the Mandelbrot set, accessible without knowledge of topology?
@Hagen von Eitzen: Is there any way to prove that the main 'head' is a circle, and also to find the shape of the main cardioid, using algebra? If there is, then what is it?
Jan
15
comment Properties of the Mandelbrot set, accessible without knowledge of topology?
@Ed Pegg: Could you please explain that further, and give an example?
Jan
15
comment Properties of the Mandelbrot set, accessible without knowledge of topology?
@Hagen von Eitzen: What is the best way to show that the set is bounded? Also, surely there are other possible algebraic proofs relating to the shape of the set?
Jan
15
asked Properties of the Mandelbrot set, accessible without knowledge of topology?
Nov
12
comment Proving Functions are Surjective
Could you possibly demonstrate with an example?