Hacker Newsnew | past | comments | ask | show | jobs | submit | kachnuv_ocasek's commentslogin

Same background here. I finally got into stochastic calculus last year thanks to a local college course (after several unsuccessful attempts on my own).

You need at least

1. a basic grasp of classical calculus, measure theory and topology

2. solid understanding of probability theory

3. basics of stochastic processes

I believe you should be able to dive in from there. It's good to have an idea where you're heading as well (mathematical finance and modelling and pricing derivatives? Bayesian inference and MCMC? statistical physics?).


Interestingly, I feel like I can "feel" small numbers (up to 4 or 5) easier than than thinking about them as objects in a language.


By feel, I can without language or counting, play mostly

  X . . X . . X . . . X . X . . .
and every so often switch out for variations, eg:

  X . . X . . X . X . . . X . . .
or

  X . . . X . . . . . X . X . . .
but I'm no good for playing polyrhythms, which many other people can do, and I believe they must also do so more by feel than by counting.


Practice a few polyrhythms, get used to things like:

  X . X X X . X . X X X .
  A . . A . . A . . A . .
  B . B . B . B . B . B .
and:

  X . . X . X X X . X X . X . X X . . X . X X . . X X . X X . X . . X . X X . . X X . X . . X . . X X X X . . X X X X . . X . . X . X X . . X X . X . . X . X X . X X . . X X . X . . X X . X . X X . X X X . X . .
  A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . . A . . . .
  B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . . B . . . . . .
  C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . . C . .
Learn to do them with one limb (or finger) per line, and also with all the lines on the same limb (or finger). And then suddenly, they'll start to feel intuitive, and you'll be able to do them by feel. (It's a bit like scales.)


It's a well known phenomenon! I will drop this link here in case you are not familiar with it:

https://www.sciencealert.com/theres-a-big-difference-in-how-...


Why would an OS need to be Turing complete?


Yes, that wouldn't necessarily be a problem.

Of course, getting a computer that's useful in practice out of this would require some thought.

A simple model: you could only allow programs written in Coq (or similar), ie progams that come with a proof of termination (or a slight generalisation, that allows for infinite event loops, as long as each run threw the loop behaves well, in some sense).

There's a trivial escape hatch, where you just take your normal unproven program but forcefully terminate it after 2^64 steps. That's strictly speaking not Turing complete, but you wouldn't be able to tell the difference during the lifetime of the computer.


But why would FBI take the servers down then?


Perhaps I belong to the minority, but I really don't think about containers as Docker. Actually, I don't remember the last time I used Docker for anything. For the past several years, I've been using either Podman or systemd-nspawn, as yourself.


Mostly yes.


That's a whole another can of worms.


> Also, it is 2022 and the future is wireless.

Gotta admit, got me to check the calendar. Though can confirm 2024 is more wireless than 2022.


I think it starts at .1 at the bottom, but the scan quality makes it difficult to discern the decimal.


I think parent might have been referring to the inconsistency that Gödel noticed in the US Constitution when applying for citizenship.


Consider applying for YC's Fall 2025 batch! Applications are open till Aug 4

Guidelines | FAQ | Lists | API | Security | Legal | Apply to YC | Contact

Search: