Math Is Fun Forum
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#51 2012-11-25 01:00:12
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Newton Fractal
Hi;
The programs on that page use different algorithms than Newton's.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#52 2012-11-25 01:05:00
- phrontister
- Real Member
- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,877
Re: Newton Fractal
Yes, I saw that this morning when I found that page but forgot about it when writing to you now.
"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson
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#53 2012-11-25 01:08:34
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Newton Fractal
Root finding is a math problem and LB is just not built for it.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#54 2012-11-25 01:25:08
- phrontister
- Real Member
- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,877
Re: Newton Fractal
Yes, I understand; but when I saw your post earlier on about Newton's going haywire if the initial guess was out of its range, I recalled a similar issue with another problem years ago that I wrote on my Sharp PC-1500A with its version of BASIC, where I used Newton's Method to solve it, and I was just letting you know my experience. My guess had to be so close to the answer that I had to enter what I thought was an unrealistically close initial approximation.
Last edited by phrontister (2012-11-25 01:27:12)
"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson
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#55 2012-11-25 01:30:11
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Newton Fractal
Newton's works off of a tangent and sometimes can not get the root unless
you use as the initial guess. Sometimes it heads off into the complex plane and stays there.
Do you see those pictures a few posts up? They would not be possible
unless Newton's did not go crazy every once in a while.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#56 2012-11-25 01:45:10
- phrontister
- Real Member
- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,877
Re: Newton Fractal
Yes, those pictures are stunning!
Many of the best (and worst) song lyrics were composed by crazy lyricists high on drugs. Is there some sort of parallel here with crazy Newton results?
"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson
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#57 2012-11-25 01:54:59
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Newton Fractal
Hi;
That I do not know. The whole 60's movement was supposed to be mind altering
through the use of drugs.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#58 2012-11-25 02:25:08
- phrontister
- Real Member
- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,877
Re: Newton Fractal
Yes...so I'm told.
Bed time again. Catcha later, Bobby.
"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson
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#59 2012-11-25 02:27:20
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Newton Fractal
Okay, see you later and have a good night.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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