Ergodicity, What's It Mean
Ensemble averages and time averages
Every blog post that took off on Hacker News, ranked by the votes of its best submission. 2,038 posts.
Ensemble averages and time averages
[This is a guest post by Jeremy Avigad. This blog post was initially written in a different file format and converted using AI. — T.] “Mathematics underwent, in the nineteenth century, …
OR: the ideas your mother warned you about
No one does anything, the bar is lower than you think
This post is inspired by the recent press release about the Rolls Royce Accel, an experimental electric aircraft being built to attempt the electric speed record. Close friends know I’ve been…
Yesterday several people asked my opinion of a preprint claiming to solve the Graph Isomorphism problem in deterministic polynomial time. I responded: If I read all such papers, then I wouldn’t hav…
The answer is basically "not a chance". No Earthbound telescope can see the flag on the Moon. Why not? For openers, the Earth's atmosphere is never steady enough to allow resolution below about one arc second for most locations. Beyond that, the telescope required to "see" the flag would need to be absolutely huge!…
Chad Orzel has a very sensible piece at Forbes, headlined What Math Do You Need For Physics? It Depends, which addresses the question of what math a physicist like him (experimental AMO physics) re…
Xoilac TV trực tiếp bóng đá HD hàng đầu Việt Nam, đường truyền ổn định, đa dạng link trực tuyến, đa dạng giải đấu, BLV chuyên môn cao và hoàn toàn miễn phí.
I remember thinking at school when will I ever in my “real life” use maths. Well much to my utter surprise I’ve come to the stark realisation that there is a link between mathematics and crochet. …
In an important new paper, Rafael Ahlskog and Sven Oskarsson show that half of the effect size in observational studies, even in conservative estimates, is composed of confounding.
I received a letter from a reader the other day. It was handwritten in crabbed penmanship so that it was very difficult to read. Nevertheless, I tried to make it out just in case it might prove to be important.
A wintertime climate change solution
When we finished the Potato Diet Community Trial, we found ourselves in a pickle. The diet worked — people lost 10.6 lbs on average over only four weeks — and we had basically no idea why. No idea …
How AI hype leads to flawed research that fuels more hype
ex program, en farm
In his TED Talk, Stephen Wolfram covers the emergence of space by the application of computational rules to spacetime, gravity and quantum mechanics to AI and LLMs. Computational irreducibility and the ruliad.
A system dynamics model, properly considered, is just an analogy dressed up in a bit of formalism.
Generative Pre-trained Transformer models (GPTs) are now all the rage and have inspired op-eds being written by everyone from Henry Kissinger (WSJ) to Noam Chomsky (NYTimes) in just the last month. That sure is some hype level.
It’s one of the nearest red supergiants to us, and a supernova is only a matter of time. What are we in for when it happens?
Hamilton’s quaternion number system $latex {\mathbb{H}}&fg=000000$ is a non-commutative extension of the complex numbers, consisting of numbers of the form $latex {t + xi + yj + zk}&f…
Fig. 5.1 Wall in in Hatunrumiyoc street, Cuzco. Polygonal stones usually have pillowed (convex) faces and bevelled, sunken joints.
ideas, work and experiments
Folding antennas into different shapes to create near infinite radiation patterns.
the territory under dispute