Ciro Santilli @cirosantilli 37

Let's show that this definition is equivalent to the orthogonal group is the group of all matrices that preserve the dot product.

Note that:and for that to be true for all possible $x$ and $y$ then we must have:i.e. the matrix inverse is equal to the transpose.

Conversely, if:is true, then

These matricese are called the orthogonal matrices.

TODO is there any more intuitive way to think about this?

Most important things to know:

Some good mentions at: Video "Where is Anatomy Encoded in Living Systems? by Michael Levin (2022)".

One of the most flashy chinese musical instrument!

It is very similar to the Indian shehnai.

PDF table of contents feature requests: twitter.com/cirosantilli/status/1459844683925008385

Users:

Once you hear about the uncomputability of such problems, it makes you see that all Diophantine equation questions risk being undecidable, though in some simpler cases we manage to come up with answers. The feeling is similar to watching people trying to solve the Halting problem, e.g. in the effort to determine BB(5).

XML predecessor.

To remove and install Shimano and ISIS Drive splined 20-tooth bottom bracket cups.

Bought: 2020-11-07. Also getting a park Tool PAW-12 adjustable wrench to use with it.

They seem to do some cool stuff.

They have also declined every one of Ciro Santilli's applications for software engineer jobs before any interview. Ciro always wondered what does it take to get an interview with them. Lilely a PhD? Oh well.

In the early days at least lots of gamedev experience was enough though: www.linkedin.com/in/charles-beattie-0695373/.