In this section we classify some functions by the type of inputs and outputs they take and produce.

Hans-Beat Bürgi is a Swiss mathematician known for his contributions to various areas of mathematics, particularly in the field of number theory, combinatorics, and mathematical education. He has been recognized for his work in explaining complex mathematical concepts in an accessible manner and has published numerous papers and educational materials.

This section is about functions that operates on arbitrary sets.

A function that maps two sets to a third set.

A Cartesian product that carries over some extra structure of the input groups.

E.g. the direct product of groups carries over group structure on both sides.

This channel contains several 2D continuous simulations and explains AI techniques used.

The engine appears to be open source: github.com/Primer-Learning/PrimerTools (previously at: github.com/Helpsypoo/primer). Models are closed source however.

They have several interesting multiagent game ideas.

Claims Unity-based, so has the downside of relying on a non-FOSS engine.

Ciro became mildly jealous of this channel when he found out about it, because at 800k subscribers at the time, the creator is likely able to make a living off of it, something which Ciro thought impossible.

As of 2022 he was at 1.6M followers with only 17 videos! Of course, much of those videos is about the software and they require infinite development hours to video time ratios.

Much of this success hinges a large part on the amazing 3D game presentation.

Well done!

Created by Justin Helps. Awesome name.

To make things better, the generically named channel is also the title of one of the best films of al time: Primer (2004).

This section is about functions that operate on numbers such as the integers or real numbers.

We define this as the functional equation:It is a bit like cauchy's functional equation but with multiplication instead of addition.

So that he can work full time on OurBigBook.com and revolutionize advanced university-level science, technology, engineering, and mathematics eduction for all ages.

Donating to Ciro is the most effective donation per dollar that you can make to:

Ciro's goal in life is to help kids as young as possible to reach, and the push, the frontiers of natural sciences human knowledge, linking it to applications that might be the the next big thing as early as possible. Because nothing is more motivating to students than that feeling of:rather than repeating the same crap that everyone is already learning.

To do this, Ciro wants to work in parallel both on:

Ciro believes that this rare combination of both:produces a virtuous circle, because Ciro:

As explained at OurBigBook.com and high flying bird scientist, Ciro is most excited to make contributions at the "missing middle level of specialization" that lies around later undergrad and lower grad education:But on that middle sweet spot, Ciro believes that something can be done, in such as way that delivers:in a way that is:

Ciro believes that today's society just keep saying over and over: "STEM is good", "STEM is good", "STEM is good" as a religious mantra, but fails miserably at providing free learning material and interaction opportunities for people to actually learn it at a deep enough level to truly appreciate why "STEM is good". This is what he wants to fix.

The following quote is ripped from Gwern Branwen's Patreon page, and it perfectly synthesizes how Ciro feels as well:

In addition to all of this, financial support also helps Ciro continue his general community support activities:

Good list: en.wikipedia.org/wiki/Geologic_time_scale#Terminology

Jean-Baptiste L. Romé de l'Isle was a French mineralogist and geologist, best known for his work in crystallography during the 18th century. He made significant contributions to the understanding of crystal structures and the principles of crystallography. One of his notable works is the formulation of the "law of symmetry" in crystals, which contributed to the classification of crystals based on their geometric shapes and symmetry properties.