Comments on: The Collatz Conjecture as a Fractal http://www.nathanieljohnston.com/index.php/2009/06/the-collatz-conjecture-as-a-fractal/ A blog of recreational math and coding Sat, 31 Jul 2010 00:05:34 -0400 http://wordpress.org/?v=2.8.4 hourly 1 By: Elithrion http://www.nathanieljohnston.com/index.php/2009/06/the-collatz-conjecture-as-a-fractal/comment-page-1/#comment-476 Elithrion Sun, 28 Jun 2009 20:02:23 +0000 http://www.nathanieljohnston.com/?p=363#comment-476 Nah, it's okay, no one really knows what year I'm in! Let's say I'm about 18 credits off from graduation, and I have been in university for 2 full years. I'll probably go over the minimum credit requirement and finish in the spring anyway (I'm told it's okay because I have no electives >.>) And, well, I don't know complex analysis because I have a somewhat reduced math requirement because of my econ major (double-majoring, if you recall). It's not technically mandatory, although I might take it this fall or winter anyway. Also, I've focused more on the umm... applied, I suppose, aspects of math (since I'm sort of thinking of going into finance, perhaps). So, I've taken courses in stochastic processes, non-linear dynamics, and graph theory, but still no complex analysis. Also, while wiki doesn't cite sources, Google scholar provides a few results, although I haven't exactly read through them. Very little is new under the sun, I suppose (especially in well-researched areas ;)). http://scholar.google.ca/scholar?&q=Collatz+fractal Nah, it’s okay, no one really knows what year I’m in! Let’s say I’m about 18 credits off from graduation, and I have been in university for 2 full years. I’ll probably go over the minimum credit requirement and finish in the spring anyway (I’m told it’s okay because I have no electives >.>) And, well, I don’t know complex analysis because I have a somewhat reduced math requirement because of my econ major (double-majoring, if you recall). It’s not technically mandatory, although I might take it this fall or winter anyway. Also, I’ve focused more on the umm… applied, I suppose, aspects of math (since I’m sort of thinking of going into finance, perhaps). So, I’ve taken courses in stochastic processes, non-linear dynamics, and graph theory, but still no complex analysis.

Also, while wiki doesn’t cite sources, Google scholar provides a few results, although I haven’t exactly read through them. Very little is new under the sun, I suppose (especially in well-researched areas ;) ). http://scholar.google.ca/scholar?&q=Collatz+fractal

]]> By: Nathaniel http://www.nathanieljohnston.com/index.php/2009/06/the-collatz-conjecture-as-a-fractal/comment-page-1/#comment-472 Nathaniel Sun, 28 Jun 2009 16:19:25 +0000 http://www.nathanieljohnston.com/?p=363#comment-472 Ha, go figure I make a post about something that's described a fair amount in a wiki page that I even linked to. Unfortunately it doesn't seem to have a reference to anything like this so I'm not sure what exactly is known. Oh well, at least it gave me an excuse to make some pretty pictures. PS. How do you not know any complex analysis yet -- aren't you at McGill (ie. the school the scares the bejesus out of me because they introduce you to abstract algebra in first year)? What year are you in now by the way (I should really know this, I apologize)? Ha, go figure I make a post about something that’s described a fair amount in a wiki page that I even linked to. Unfortunately it doesn’t seem to have a reference to anything like this so I’m not sure what exactly is known. Oh well, at least it gave me an excuse to make some pretty pictures.

PS. How do you not know any complex analysis yet — aren’t you at McGill (ie. the school the scares the bejesus out of me because they introduce you to abstract algebra in first year)? What year are you in now by the way (I should really know this, I apologize)?

]]> By: Elithrion http://www.nathanieljohnston.com/index.php/2009/06/the-collatz-conjecture-as-a-fractal/comment-page-1/#comment-467 Elithrion Sun, 28 Jun 2009 03:04:52 +0000 http://www.nathanieljohnston.com/?p=363#comment-467 Wiki actually mentions this approach - http://en.wikipedia.org/wiki/Collatz_conjecture#Iterating_on_real_or_complex_numbers - one would assume that there's some actual research into it already? Or at least some speculation. Although I *still* don't know complex analysis, but your rephrasing to g(z) seems interesting. Wiki actually mentions this approach – http://en.wikipedia.org/wiki/Collatz_conjecture#Iterating_on_real_or_complex_numbers – one would assume that there’s some actual research into it already? Or at least some speculation. Although I *still* don’t know complex analysis, but your rephrasing to g(z) seems interesting.

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