Yeah, it's a matter of convention rather than opinion really, but among US academia the convention is to exclude 0 from the naturals. I think in France they include it.

Start with the goal to create something, be it a console app, website, web api, or game. It's hard to just study a language abstractly and learn it. Use the Microsoft Learn documentation as reference, and look for open source .NET projects on GitHub to get different perspectives on how to build things with .NET. There is a free course on freecodecamp that will get you started by building an app, and I believe it was done in partnership with Microsoft

But something has to be written on the birth certificate and social security card, and that's what everything else will expect you to use. I think just due to technical limitations (e.g. of the printer/template for those things) it wouldn't be allowed, but I dunno about legally

40k breeding forums are usually pretty chill

There's a search field on the front page. The rest is blank because I used the (default) "exact match" option, so the rest of the page is (by random chance) filled with spaces. The search function presumably uses knowledge about the algorithm used to generate the pages to locate a given string in a reasonable amount of time, rather than naively looking through each page.

DACs have been very good and very cheap for years now. A $10 Apple USB dongle contains an extremely good DAC. At the consumer level, you're paying for pretty much everything except sound quality now.

You do need an amp for some headphones. They can even be used to deliver low power at a low noise floor for high sensitivity earbuds, but this isn't always necessary.

Sandboxing is a good thing. It makes it a lot easier and safer for billions of devices to run millions of apps.

Ubuntu LTS

More like RHEL 5

IntelliJ IDEA isn't really more generic than PyCharm. It's a Java IDE built on the generic IntelliJ platform. You can load different language plugins in both.

Try to stay on topic instead of resorting to analogies.

Failure to comprehend abstraction while arguing against math education. Yep, that checks out.

Assuming you mean a boss at the end of act 2 / beginning of act 3, Balthazar

I got pushed off the ledge a few times. What worked for me was, while the first character was stuck in dialogue, the rest of my party would sneak in and position advantageously before starting the fight mid-dialogue on my own terms. It was indeed bullshit, but not nearly as bullshit as me reloading for 20 mins convincing a boss to kill themselves, so I think the game and I can call it even.

I also completed a few tough early fights with 2 mage hands and a cliff, so really, I'm pro-shoving all the way.

Let's name the goats Alice and Bob. You pick at random between Alice, Bob, and the Car, each with 1/3 chance. Let's examine each case.

• Case 1: You picked Alice. Monty eliminates Bob. Switching wins. (1/3)

• Case 2: You picked Bob. Monty eliminates Alice. Switching wins. (1/3)

• Case 3: You picked the Car. Monty eliminates either Alice or Bob. You don't know which, but it doesn't matter-- switching loses. (1/3)

It comes down to the fact that Monty always eliminates a goat, which is why there is only one possibility in each of these (equally probable) cases.

From another point of view: Monty revealing a goat does not provide us any new information, because we know in advance that he must always do so. Hence our original odds of picking correctly (p=1/3) cannot change.

In the variant "Monty Fall" problem, where Monty opens a random door, we perform the same analysis:

• Case 1: You picked Alice. (1/3)
  • Case 1a: Monty eliminates Bob. Switching wins. (1/2 of case 1, 1/6 overall)
  • Case 1b: Monty eliminates the Car. Game over. (1/2 of case 1, 1/6 overall)
• Case 2: You picked Bob. (1/3)
  • Case 2a: Monty eliminates Alice. Switching wins. (1/2 of case 2, 1/6 overall)
  • Case 2b: Monty eliminates the Car. Game over. (1/2 of case 2, 1/6 overall)
• Case 3: You picked the Car. (1/3)
  • Case 3a: Monty eliminates Alice. Switching loses. (1/2 of case 3, 1/6 overall)
  • Case 3b: Monty eliminates Bob. Switching loses. (1/2 of case 3, 1/6 overall)

As you can see, there is now a chance that Monty reveals the car resulting in an instant game over-- a 1/3 chance, to be exact. If Monty just so happens to reveal a goat, we instantly know that cases 1b and 2b are impossible. (In this variant, Monty revealing a goat reveals new information!) Of the remaining (still equally probable!) cases, switching wins half the time.