Techniques to get numerical approximations to numeric mathematical problems.

The entire field comes down to estimating the true values with a known error bound, and creating algorithms that make those error bounds asymptotically smaller.

Not the most beautiful field of pure mathematics, but fundamentally useful since we can't solve almost any useful equation without computers!

The solution visualizations can also provide valuable intuition however.

Important numerical analysis problems include solving:

www.youtube.com/watch?v=tq7sb3toTww&list=PLxBAVPVHJPcrNrcEBKbqC_ykiVqfxZgNl&index=19 mentions that it is a bit like a dot product but for a tangent vector to a manifold: it measures how much that vector derives along a given direction.

TODO vs COCO dataset.

As of v7:

The images and annotations are both under CC BY, with Google as the copyright holder.

The order of a algebraic structure is just its cardinality.

Sometimes, especially in the case of structures with an infinite number of elements, it is often more convenient to talk in terms of some parameter that characterizes the structure, and that parameter is usually called the degree.

Ciro is looking for:

The initial incentive for the creators is to make them famous and allow them to get more fulfilling jobs more easily, although Ciro also wants to add money transfer mechanisms to it later on.

We can't rely on teachers writing materials, because they simply don't have enough incentive: publication count is all that matters to their careers. The students however, are desperate to prove themselves to the world, and becoming famous for amazing educational content is something that some of them might want to spend their times on, besides grinding for useless grade.

www.scientificindustries.com/vortex-genie-2.html (archive)

It is important to note that due to horizontal gene transfer, the early days of life, and still bacteria to this day due to bacterial conjugation, are actually a graph and not a tree, see also: Figure "Graph of life".

Definitely have a look at: coral of life representations.

Examples at: Raspberry Pi Pico W MicroPython example.

They appear to piece together data from various sources. This is the most complete historical domain -> IP database we have so far. They don't have hugely more data than viewdns.info, but many times do offer something new. It feels like the key difference is that their data goes further back in the critical time period a bit.

TODO do they have historical reverse IP? The fact that they don't seem to have it suggests that they are just making historical reverse IP requests to a third party via some API?

E.g. searching thefilmcentre.com under historical data at securitytrails.com/domain/thefilmcentre.com/history/al gives the correct IP 62.22.60.55.

But searching the IP 62.22.60.55 is empty and there's no historical data option?

Account creation blacklists common email providers such as gmail to force users to use a "corporate" email address. But using random domains like ciro@cirosantilli.com works fine.

Their data seems to date back to 2008 for our searches.