Ciro Santilli @cirosantilli 35

The elliptic curve group of all elliptic curve over the rational numbers is always a finitely generated group.

The number of points may be either finite or infinite. But when infinite, it is still a finitely generated group.

For this reason, the rank of an elliptic curve over the rational numbers is always defined.

TODO example.

We define this category as AI games in which agents are able to produce or consume natural language.

It dawned on Ciro Santilli that it would be very difficult to classify an agent as an AGI if tthat agent can't speak to take orders, read existing human generated documentation, explain what it is doing, or ask for clarification.

This is going to be the most important application of generative AI. Especially if we ever achieve good text-to-video.

Image generators plus human ranking:

www.pornhub.com/view_video.php?viewkey=ph63c71351edece: Heavenly Bodies Part 1: Sister's Mary First Act. Pornhub title: "AI generated Hentai Story: Sexy Nun alternative World(Isekai) Stable Diffusion" Interesting concept, slide-narrated over visual novel. The question is how they managed to keep face consistency across images.

Just ignore the electron electron interactions.

Bibliography:

While listening to endless hours of vaporwave while coding, Ciro Santilli spotted some amazing Buddhist-like voice samples, and eventually found that they were by Allan Watts.

Self-help? Maybe. Cult leader? Maybe. But at least it is one that Ciro buys into.

Is there a correlation between software engineers and Buddhism and liking the dude? Because this exists: wattsalan.github.io

Other good talks:

Borrow from the Internet Archive for free: archive.org/details/manbehindmicroc000berl/page/n445/mode/2up

It doesn't need to be a bipedal robot. We can let Boston Dynamics worry about that walking balance crap.

It could very well instead be on wheels like arm on tracks.

Or something more like a factory with arms on rails as per:

An arm with a hand and a camera are however indispensable of course!

The set of all algebraic numbers forms a field.

This field contains all of the rational numbers, but it is a quadratically closed field.

Like the rationals, this field also has the same cardinality as the natural numbers, because we can specify and enumerate each of its members by a fixed number of integers from the polynomial equation that defines them. So it is a bit like the rationals, but we use potentially arbitrary numbers of integers to specify each number (polynomial coefficients + index of which root we are talking about) instead of just always two as for the rationals.

Each algebraic number also has a degree associated to it, i.e. the degree of the polynomial used to define it.

TODO understand.

There's a bit of both sides in the 2016 race:

The city clearly exists because it is in the confluence of the river Thames and the River Cherwell. In such confluences, terrain tends to be flat, and fords are also common, with crossings wide and shallow, and so it was an important crossing place.

Notably, the River Cherwell is a natural link between London and the North towards Coventry, and then Birmingham, as it, and then the Thames in which it goes into, puncture through both the Chilterns, then North Essex Downs and the Cotswolds hills. The M40.