hakmem

23 ms·

1.
by hakmem 2y ago
You can see both triples are contained in one binary tree using the big diagram in section 3. The triple [3 4 5] has the "path" RR. The triple [4 3 5] the path R.
2.
by hakmem 2y ago
Yes, this is normal. I am sorry, I am working on a more efficient implementation. The JavaScript of this page does a lot of number crunching. It is actually doing arithmetic on the Stern-Brocot tree. It is all written in ClojureScript and n
3.
A binary tree of all Pythagorean triples(richardt.io)
181 points by hakmem 2y ago|19 comments
4.
Emacs won.(suno.com)
2 points by hakmem 2y ago|0 comments
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The number of magic squares of order 6(magicsquare6.net)
3 points by hakmem 3y ago|1 comments
6.
by hakmem 3y ago
Until July 17 we only knew the first five numbers of the sequence https://oeis.org/A006052 . Now we know 6. "Using hundreds of GPUs at cloud resource rental services, it took about six months to complete the counting&qu
7.
by hakmem 3y ago
Thank you for both vouching and the hinting on my flagging.
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Gosper–Niqui Calculator(snafu.cc)
9 points by hakmem 3y ago|4 comments
9.
by hakmem 3y ago
+ - * ÷ two numbers in 3.14 decimal notation, 1RLLRRLLRRLLRR stern–brocot notation, or [1;1,2,1] something close to continued fraction notation Milad Niqui: Exact arithmetic on the Stern-Brocot tree. https://core.ac.uk/downl
10.
by hakmem 6y ago
A couple of days ago, there also has been a disussion on reddit on this topic. https://www.reddit.com/r/Physics/comments/gf1kbd/if_you_over...
11.
by hakmem 6y ago
The authors have a look at the spectral line database of the NIST and make the surprising finding, that all atomic spectral lines together approximate very well a black body spectrum at a temperature of 9000K. The authors not yet have an ex
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If you overlay all atomic spectra, you get a Planck distribution(onlinelibrary.wiley.com)
129 points by hakmem 6y ago|55 comments
13.
by hakmem 9y ago
Yeah, this is Hacker News.
14.
by hakmem 9y ago
Great, I will definitely have a look at it. Did you implement exp(x) for any continued fraction x?
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by hakmem 9y ago
Guessed it but you wrote "continuous" instead of "continued" :) I was excited about something new ;) And yes, this text is gold. Bill Gosper is the Hunter S. Thompson of science.
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by hakmem 9y ago
Could you point me to a reference?
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by hakmem 9y ago
There are a lot of pearls in this - I would call it lab book. A while ago, I made a slow Clojure implementation of a generalized version of Bill Gospers continued fraction arithmetics from the HAKMEM http://github.com/timric