Ciro Santilli @cirosantilli 37

uk.vwr.com/store/product/8306728/microcentrifuges-ventilated-refrigerated-micro-star-17-17r (archive).

You have to know the language to appreciate them.

The 60's and 70's were the days, those great proxy wars and CIA dictatorships allowed hippies to make awesome freedom music without too imminent a fear of death.

Songs making fun of things or that are pure Brazil nostalgia are also accepted. No love songs, ever. Except some by Caetano, but that's it!

English:

French:

In order to make websites efficient and portable, a lot of transpilation is needed.

These are basically technically minded people that Ciro Santilli feels have similar interests/psychology to him, and who write too much for their own good:

Maybe one day these will also be legendary, who knows:

Another category Ciro admires are the "computational physics visualization" people, these people will go to Heaven:

Related:

Institution led:

Other mentions:

www.marshallscientific.com/MJ-Research-PTC-200-Thermal-Cycler-p/mj-200.htm (archive).

Big goals:

Just art:

Take the group of all Translation in ${\mathbb{R}}^1$.

Let's see how the generator of this group is the derivative operator:

The way to think about this is:

So let's take the exponential map:and we notice that this is exactly the Taylor series of $f(x)$ around the identity element of the translation group, which is 0! Therefore, if $f(x)$ behaves nicely enough, within some radius of convergence around the origin we have for finite $x_0$:

This example shows clearly how the exponential map applied to a (differential) operator can generate finite (non-infinitesimal) Translation!

It is cool how even for such a "simple looking" problem, we were still unable to prove optimality as of 2020!

The most important example is perhaps $SO(3)$ and $SU(2)$, both of which have the same Lie algebra, but are not isomorphic.