Imagine some sort of a polynomial function f(x) = r * x * (1-x) that is also depending on some constant r in range 0 < r < 1.
You apply x = f(x) for many times, at your wish. Think of it as a for-loop, or f(f(f(...f(f(x))...))). The resulting value will reside (converge) to some value.
So, this looped function sets to some stable point with any r in range until x < 3. After that, it doesn't converge but it will constantly jump between one of 2 points, then 4, 8, ... and at some point it goes wacky-macky.
The graph from Wikipedia merely shows the probability of the value f(f(f(...f(f(x))...))) for all r in the given range.
Browser: Firefox because I can download its source code, use it, inspect, modify and share. All of these 4 freedoms make Firefox free, as in freedom. Brave is non-free (closed source and not contributing to software freedom).
I use Qwant (unfortunately, it only works in the EU) and site-local search (Wikipedia, ArchWiki, etc.)
All web search engines are crap, honestly. Maybe Kagi makes better, idk.
It depends on non-free Google Play Services for push notifications, which puts you into a requirement to use an unmodified Google Android, which is potentially dangerous for a privacy app like this.
Anyways, when it comes to E2EE IMs, Matrix ecosystem is much better.
As the others made a good point, Linux is the kernel (program that connects hardware altogether and manages processes). GNU is an organisation beginning in 1983 that made some vital userland programs (Bash, GCC, readline, GNOME, GTK, GIMP, etc.) as a replacement of the proprietary ones found in UNIX and Windows. Linux is created by a Finnish student Linus Torvalds and is not a part of the GNU project but it's been licensed under the GNU General Public License (GPL), the first free software license.
Linux is used by a lot of companies, and some of the products that have Linux inside refuse to accept the paradigm of software freedom. Examples of this are: Chrome OS, Windows Subsystem for Linux, Google Android and some (but not all) appliances (like routers) that are locked-in and contain proprietary blobs.
Therefore, in technical discussions, I use the word "Linux" to refer to the OS, as "this software is compatible with Linux". But, when I want to stress out software freedom, given a large influence of the GNU project, I say "GNU/Linux".
Any company that engages in vendor lock-in, abuses copyright of creators through generative AI for profit, tracks users for profit/advertising, or censors content and people on their platform that suggest alternative platforms.
The game is a complex AND continuous/incremental puzzle;
Doesn't have a boring/idle part;
Emulates real world. (optional);
Player can produce creative output. (optional).
Games that I like: SimCity4 (2003), Europa Universalis 4 (2010s), Touhou series (1997-now), Taisei (2012-now), Minetest and many Tycoon games that used to be popular in 2000s.
Programming and math satisfies all 4 traits :) When I started programming 10 years ago, I became less interested in games.
ELI5:
Imagine some sort of a polynomial function
f(x) = r * x * (1-x)
that is also depending on some constantr
in range0 < r < 1
.You apply
x = f(x)
for many times, at your wish. Think of it as a for-loop, or f(f(f(...f(f(x))...))). The resulting value will reside (converge) to some value.So, this looped function sets to some stable point with any
r
in range untilx < 3
. After that, it doesn't converge but it will constantly jump between one of 2 points, then 4, 8, ... and at some point it goes wacky-macky.The graph from Wikipedia merely shows the probability of the value
f(f(f(...f(f(x))...)))
for allr
in the given range.If you're curious, Veritasium's made a good explanation here: https://youtu.be/ovJcsL7vyrk