dankearney

5 ms·

1.
The Statistics of Championship Droughts(github.com)
2 points by dankearney 3y ago|1 comments
2.
by dankearney 3y ago
I got nerd-sniped by this problem and thought I'd share with this wonderful community.
3.
by dankearney 4y ago
Wow, thanks for the deep dive! This is so fascinating that someone would be willing to dive into my ideas. HN rules. I clearly need a much more clear explanation of things — for example the floor(log2(( part is being misinterpreted here. Th
4.
by dankearney 4y ago
Poor choice of words perhaps, but the further parts explain
5.
by dankearney 4y ago
I’m going to polish it up and will share with you, I explained to it eru in more detail
6.
by dankearney 4y ago
Yes and thanks for giving me the time of day! 1: Derive that, for a cycle with o odds and e evens, that the product of the increases due to odds (3 + 1/x) must exactly equal the product of the decreases by halving, which comes out to 2
7.
by dankearney 4y ago
Got an example? From my exploration, the distance between a power of 3 and the nearest power of 3 tends to grow.
8.
by dankearney 4y ago
The powers of 2 and 3 getting further away bit is not correct as you mention but it isn't actually all that important. My Github page is a WIP so bear with me.. If a cycle does exist for some large-ish cycle length, let’s say 100 odd n
9.
by dankearney 4y ago
I’m proving that there are no cycles above the trivial cycle with this, and yeah this post is just a quick summary
10.
by dankearney 4y ago
It’s not probabilistic — for any cycle length, you can compute the minimum possible x value that could possibly be the lowest odd number in the cycle. That value trends smaller as the cycle length grows.
11.
by dankearney 4y ago
I have a proof, would love HN’s perspective. A cycle means the product of all of the increases (each of which is a scaling factor of 3x+1 / x) equal the product of the decreases (a power of 2). 3x+1 / x = 3 + 1/x, so except f
12.
A Short Explanation for the Collatz Conjecture(github.com)
2 points by dankearney 4y ago|0 comments
13.
An intuitive explanation for a lack of cycles in the Collatz conjecture
2 points by dankearney 4y ago|1 comments