GPT-4 did this in 1 shot.

Been going through Mosteller’s 50 challenging problems in probability.

I’ve been learning about the neural tangent kernel and some things confused me.

You replied to my dissection post and I decided then that I wished to be your friend. You didn’t leave your email, but asked how old I was in earth years. My email is alokbeniwal@gmail.com, please reach out if you see this.

List as many emotions as you can. Then list their etymologies

No particular theme. Quoted text is me, rest is GPT.

(Old notes from 2016 that I stumbled upon).

I just finished a 1 month research program called REMIX (Redwood Research Mechanistic Interpretability Experiment).

For a finite set, one can describe a uniform distribution. There isn’t a natural way to do so for a countable set. But for a hyperfinite set, one can describe a uniform distribution through a probability density. So in some ways the countable is “bigger”.

What is an action?

The usual setup of a habit is

just like how infinitesimals are useful because they’re indiscernible from 0, but have the advantage of being able to be divided by.

Take an interval. Cut it into H pieces, where H is hyperfinite. This serves as the index set of a stochastic process, among many other uses. Imagine that for each of the H steps, you flip a coin to get -1 or +1. Then move an infinitesimal distance left or right based on the sign. This is Brownian motion. Each infinitesimal piece of the timeline is profitably thought of as a Planck time.

Blog power laws

August 2016: Jiuzhaigou, Sichuan Province, China[^maybe it should be timespace instead of spacetime, better to put the time first, what if the place identifier no longer exists? Plus timestamps are orderable.]

Why