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Author: Subject: A new webpage, exploration of roots of polynomials
woelen
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[*] posted on 8-2-2017 at 13:37
A new webpage, exploration of roots of polynomials


I have done quite some work on polynomials, writing software and experimenting with them. The result sometimes is stunning. I have written software for finding zeros of polynomials and I believe this software to be of high quality (it is tested with millions and millions of many different kinds of polynomials).

inv_primorial_zeros_cum.gif - 1.9MB

In the following webpage I present some interesting and beautiful results, which can be used as a starting point for further investigations:

http://woelen.homescience.net/science/math/exps/polynomials/...


The software is available from here, in source code format and with the instructions given in the web page you should be capable of building the software yourself:

http://woelen.homescience.net/science/math/exps/polynomials/...

If you wish, I can build binary files for the high precision MPInt library, I can build files for Linux/Ubuntu (64 bit), Windows (64 bit) or ARM (32 bit and 64 bit). First try yourself, it should not be too difficult.




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Want to wonder? Look at https://woelen.homescience.net
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Metacelsus
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[*] posted on 8-2-2017 at 16:02


Wow. This is amazing.

After visiting your site, I then spent 30 minutes reading about math, and so far it has been the most interesting part of my week.




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wg48
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[*] posted on 8-2-2017 at 18:14


That is interesting maths and some very cool plots. Thanks woelen.

Your precision and two million polys is impressive. Twenty five year ago in my modelling days we struggled to get sufficient precision out of the far tails of gaussions and run times limted the number of runs.
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JJay
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[*] posted on 9-2-2017 at 03:45


Roger Penrose has done some similar explorations, but I think yours look more impressive.



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AngelEyes
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[*] posted on 9-2-2017 at 07:22


Impressive.
I mean, I don't understand any of it...but at least I can see where AMD got their new RyZen logo from:

http://woelen.homescience.net/science/math/exps/polynomials/...




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