https://twiecki.io/blog/2015/11/10/mcmc-sampling/
Note that the point of the markov chain is it's possible to compute relative probabilities between two given points in the posterior even when you don't have a closed form expression for the posterior.
Also, the reason behind separating the proposal distribution and the acceptance probability is that it's a convenient method to make the Markov process stationary, which isn't true in general. (Wikipedia page on MCMC is also useful here).
(This is a massive pet peeve of mine - if you are going to call something "X for dummies", don't bury the lede! Tell me what "X" is as soon as possible, especially if it's an acronym!)
https://www.bleepingcomputer.com/news/security/microsoft-sup...
Back in the late aughts, there was an article from someone at Microsoft talking about how they weren't that interested in going after people pirating Windows in the developing world, because they saw it as an opportunity for turning them into paying customers. Really - that piracy is expanding the Microsoft ecosystem, which back then was important because they viewed Linux on the desktop as a huge threat. (Is it the year of Desktop Linux yet?)
The ease with which Windows is cracked still is probably no accident, but nobody's talking about it. If you're running a business at some point your security folks are going to point out that using cracked software is how you invite attackers inside your security perimeter. (Seriously, down that path lies losing all of your bank accounts)
I know this is a bit of a tongue-in-cheek comment but I would argue that the year of the Linux desktop was in 2022 when the Steam deck, albeit a non-desktop machine, was released. It's a pretty popular console and really forwarded the idea of playing video games on Linux being seamless. The state of gaming on Linux is/was one of the main reason why so many people are/were holding out on Windows, and with a few exceptions of massive games like Fortnite, it's basically here. Adoption, however, is a different story.