woelen
Super Administrator
Posts: 7976
Registered: 20-8-2005
Location: Netherlands
Member Is Offline
Mood: interested
|
|
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).
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.
|
|
|
Metacelsus
International Hazard
Posts: 2531
Registered: 26-12-2012
Location: Boston, MA
Member Is Offline
Mood: Double, double, toil and trouble
|
|
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.
|
|
|
wg48
National Hazard
Posts: 821
Registered: 21-11-2015
Member Is Offline
Mood: No Mood
|
|
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.
|
|
|
JJay
International Hazard
Posts: 3440
Registered: 15-10-2015
Member Is Offline
|
|
Roger Penrose has done some similar explorations, but I think yours look more impressive.
|
|
|
AngelEyes
Hazard to Others
Posts: 187
Registered: 24-1-2003
Location: South of England
Member Is Offline
Mood: Better than it used to be.
|
|
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/...
\'Silk and satin, leather and lace...black panties with an Angel\'s face\'
|
|
|
![[*]](images/xpblue/default_icon.gif){kind=icon}
