[math-fun] zooming in on the reals
Has anyone created interactive software that lets one zoom in on the real line? (One possible design would be an inverse symbolic calculator connected to a Google Maps interface.) Jim Propp
If you look at the algorithm description for my inverse symbolic calculator RIES: http://mrob.com/pub/ries/index-2.html#algorithm you can see an example of numbers being inserted in order of increasing "complexity". A graphical version of this would be pretty cool. RIES generates expressions with distinct values at a rate of about 5 million per minute, and they're kept in order the whole time. This shows that it would be pretty easy to generate a database sufficient for a number line that could be zoomed in to say, 8 or 10 orders of magnitude. Also, since RIES has been online for a few months (go to mrob.com/ries, type a number and hit return) and since (as on all web servers) there is a log of form submissions, I have thought that once I get enough data I could publish some kind of number line that is scaled so as to give more space to areas that contain popular numbers. There are three numbers given as suggestions right below the form, and I see those a lot. There is also a bias towards 42 (-: The results need to be smoothed a lot, and all detailed information needs to be discarded (a privacy concern: users like to put in dates and telephone numbers). At 06:24 AM 8/29/2012, James Propp wrote:
Has anyone created interactive software that lets one zoom in on the real line?
(One possible design would be an inverse symbolic calculator connected to a Google Maps interface.)
-- Robert Munafo -- mrob.com Follow me at: gplus.to/mrob - fb.com/mrob27 - twitter.com/mrob_27 - mrob27.wordpress.com - youtube.com/user/mrob143 - rilybot.blogspot.com
What features do you want to display? (And how could you omit this from your question?!?) --Dan On 2012-08-29, at 6:24 AM, James Propp wrote: << Has anyone created interactive software that lets one zoom in on the real line?
You know, it actually occurred to me that some people would find my question overly vague, and I thought about adding more detail. But then I thought better of it. I'm interested in knowing about ANY existing software along the lines I vaguely indicated; I can imagine three or four quite different approaches to "zooming in on the reals", all of which I'd like to know about (if they exist). Jim Propp On 8/30/12, Dan Asimov <dasimov@earthlink.net> wrote:
What features do you want to display? (And how could you omit this from your question?!?)
--Dan
On 2012-08-29, at 6:24 AM, James Propp wrote:
<< Has anyone created interactive software that lets one zoom in on the real line? _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
Whichever bits of the "real" you wish to see/zoom into almost any fractal software with a parser will let you code and zoom as required - of course including complex as well as real if you so wish. This would be easy in Fractint (free) and even easier in ChaosPro (free) or Ultra Fractal (not free but arguably still he best in terms of overall potential and stability). Fractint is available for just about any OS I think, ChaosPro just Windows and UF for Windows or OSX. On 30 Aug 2012, at 17:31, James Propp wrote:
You know, it actually occurred to me that some people would find my question overly vague, and I thought about adding more detail. But then I thought better of it. I'm interested in knowing about ANY existing software along the lines I vaguely indicated; I can imagine three or four quite different approaches to "zooming in on the reals", all of which I'd like to know about (if they exist).
Jim Propp
On 8/30/12, Dan Asimov <dasimov@earthlink.net> wrote:
What features do you want to display? (And how could you omit this from your question?!?)
--Dan
On 2012-08-29, at 6:24 AM, James Propp wrote:
<< Has anyone created interactive software that lets one zoom in on the real line? _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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On Wed, Aug 29, 2012 at 6:24 AM, James Propp <jamespropp@gmail.com> wrote:
Has anyone created interactive software that lets one zoom in on the real line?
I'm imagining a line on the screen that doesn't change at all as you zoom in. -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com
That would certainly be easy to code. Jim On 8/30/12, Mike Stay <metaweta@gmail.com> wrote:
On Wed, Aug 29, 2012 at 6:24 AM, James Propp <jamespropp@gmail.com> wrote:
Has anyone created interactive software that lets one zoom in on the real line?
I'm imagining a line on the screen that doesn't change at all as you zoom in. -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com
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Yes. You could change the rate of zooming at any time -- in fact it could be the first interactive computer graphics display that works entirely by telepathy. --Dan On 2012-08-30, at 9:35 AM, Mike Stay wrote:
On Wed, Aug 29, 2012 at 6:24 AM, James Propp <jamespropp@gmail.com> wrote:
Has anyone created interactive software that lets one zoom in on the real line?
I'm imagining a line on the screen that doesn't change at all as you zoom in.
On Thu, Aug 30, 2012 at 11:33 AM, Dan Asimov <dasimov@earthlink.net> wrote:
Yes. You could change the rate of zooming at any time -- in fact it could be the first interactive computer graphics display that works entirely by telepathy.
--Dan
Someone beat me to that a while ago. $300 for a brain-controlled interface: http://emotiv.com/store/ TED talk demoing the headset: http://www.ted.com/talks/tan_le_a_headset_that_reads_your_brainwaves.html -- Mike Stay - metaweta@gmail.com http://www.cs.auckland.ac.nz/~mike http://reperiendi.wordpress.com
participants (5)
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Dan Asimov -
Dave Makin -
James Propp -
Mike Stay -
Robert Munafo