hakmem
Joined 9 years ago
Karma
175
Submissions
19
Member since
Sep 30
Recent submissions
Comment · 1 year 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.
Comment · 1 year 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 not really optimized yet. I mention in the paper that I do not even use TCO.
Anyway, thank you - and all the people here - for the kind words! I am so happy that my article was so well received today.
Comment · 3 years 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"
Great work by Prof emeritus Hidetoshi Mino. He's inviting interested people to check for errors.
Comment · 3 years ago
Thank you for both vouching and the hinting on my flagging.
Comment · 3 years 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/download/pdf/82481132.pdf
HAKMEM p. 40 - ITEM 101B (Gosper): Continued Fraction Arithmetics https://w3.pppl.gov/~hammett/work/2009/AIM-239-ocr.pdf
Comment · 6 years 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...
Comment · 6 years 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 explanation for this conundrum, but also note, that this temperature plays a role in the formation theory of the universe.
Comment · 9 years ago
Yeah, this is Hacker News.