Ciro Santilli @cirosantilli 35

Discord is useless if you want to participate in more than one large group because of this. It is impossible to get email notification for selected threads you care about.

No way to get email notifications for missed activity? support.discord.com/hc/en-us/community/posts/360041806392-Can-we-get-an-email-notification-option-for-messages-

Way, way before instant messaging, there was... teletype!

There are 3: real numbers, complex numbers and quaternions.

Notably, the octonions are not associative.

Archive example: web.archive.org/web/20130726224338/http://librarianhelper.com/

Some good mentions on Inside Job (2010).

Depicted at: Len Sassaman tribute.

Won 2022 Nobel Prize.

He beats the The European Union is a failure drum pretty well.

ELF is the dominating file format for Linux. It competes with Mach-O for OS X and PE for Windows.

ELF supersedes .coff, which supersedes a.out.

The basic intuition for this is to start from the origin and make small changes to the function based on its known derivative at the origin.

More precisely, we know that for any base b, exponentiation satisfies:And we also know that for $b=e$ in particular that we satisfy the exponential function differential equation and so:One interesting fact is that the only thing we use from the exponential function differential equation is the value around $x=0$, which is quite little information! This idea is basically what is behind the importance of the ralationship between Lie group-Lie algebra correspondence via the exponential map. In the more general settings of groups and manifolds, restricting ourselves to be near the origin is a huge advantage.

Now suppose that we want to calculate $e^1$. The idea is to start from $e^0$ and then then to use the first order of the Taylor series to extend the known value of $e^0$ to $e^1$.

E.g., if we split into 2 parts, we know that:or in three parts:so we can just use arbitrarily many parts $e^{1/n}$ that are arbitrarily close to $x=0$:and more generally for any $x$ we have:

Let's see what happens with the Taylor series. We have near $y=0$ in little-o notation:Therefore, for $y=x/n$, which is near $y=0$ for any fixed $x$:and therefore:which is basically the formula tha we wanted. We just have to convince ourselves that at ${\lim }_{n\to \infty }$, the $o(1/n)$ disappears, i.e.:

To do that, let's multiply $e^y$ by itself once:and multiplying a third time:TODO conclude.

Some interesting analysis by Parth Shukla twitter.com/pparth | www.linkedin.com/in/parth-shukla-59583b20/:Apparently most of the routers were Chinese. No surprise there.

The mandatory xkcd: xkcd 927: Standards.

TODO is there a publicly visible list?

Experiments to measure it:

The 2019 redefinition of the SI base units defines it precisely and uses it as a measure of charge: en.wikipedia.org/wiki/2019_redefinition_of_the_SI_base_units#Ampere