(testing signal)

Month: March 2018

Winding numbers and domain coloring



An algorithm for numerically solving certain 2d equations.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/winding-thanks
Writing and animations by Sridhar Ramesh, with editing and narration by Grant Sanderson.

Even though we described how winding numbers can be used to solve 2d equations at a high level, it’s worth pointing out that there are a few details missing for if you wanted to actually implement this. For example, in order to determine how often to sample points, you’d want to have some bounds on the rate at which the direction of the output changes.… Read more...

Our next Seminar: Artificial General Intelligences & Corporations @Internet Archive

Seminar on Artificial General Intelligences & Corporations

hosted by Foresight Institute@ Internet Archive

Click here to access the ticket sale.

Even if we don’t know yet how to align Artificial General Intelligences with our goals, we do have experience in aligning organizations with our goals. Some argue corporations are in fact Artificial Intelligences – legally at least we treat them as persons already.

Let’s spend an afternoon examining AI alignment, especially whether our interactions with different types of organizations, e.g. our treatment of corporations as persons, allow insights into how to align AI goals with human goals.

While this meeting focuses on AI safety, it merges AI safety, philosophy, computer security, and law and should be highly relevant for anyone working in or interested in those areas.

Read more...

Why is pi here? And why is it squared? A geometric answer to the Basel problem



A most beautiful proof of the Basel problem, using light.
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/basel-thanks
This video was sponsored by Brilliant: https://brilliant.org/3b1b

Brilliant’s principles list that I referenced:
https://brilliant.org/principles/

Get early access and more through Patreon:
https://www.patreon.com/3blue1brown

The content here was based on a paper by Johan Wästlund
http://www.math.chalmers.se/~wastlund/Cosmic.pdf

Check out Mathologer’s video on the many cousins of the Pythagorean theorem:

On the topic of Mathologer, he also has a nice video about the Basel problem:

A simple Geogebra to play around with the Inverse Pythagorean Theorem argument shown here.… Read more...