For the uninitiated, the monty Hall problem is a good one.

Start with 3 closed doors, and an announcer who knows what's behind each. The announcer says that behind 2 of the doors is a goat, and behind the third door is a car student debt relief, but doesn't tell you which door leads to which. They then let you pick a door, and you will get what's behind the door. Before you open it, they open a different door than your choice and reveal a goat. Then the announcer says you are allowed to change your choice.

So should you switch?

The answer turns out to be yes. 2/3rds of the time you are better off switching. But even famous mathematicians didn't believe it at first.

I think this is the proper way to treat games that you're done developing. My only requests might be:

• Adding a way to self-host an instance (with mod tools)
• Open sourcing (so the community can fix their own bugs)

Bravo for bringing the notes. On a first glance, some of these feel like they require subjectivity (like, do we really believe the political spectrum is 1d?), but I agree I could run the computation myself from this.

It's very weird to me that you're only listing loud things children do... Like, have you ever been around a sleeping child? Do they bother you? What about in a classroom, watching a movie, or running in the distance (out of earshot)?

Average volume of a child is higher than adults, but only by a factor of 2 or so. And their noises are interpretable, you can definitely figure out what they mean, unlike the adult noises.

I now recall there was a numberphile with exactly that visualisation! It's a clever visual

I'm a little sad nobody with the relevant mathematics background has jumped in. These puzzles are considered; a simple version is the lion-hunting-man where both have the same speed and infinite turning speed (eg, this paper, where the arena they play in varies).

Make a New Year's Theme instead - CGP grey had a video on this. Then, when the first things you try related to the theme fail (or feel bad, or don't make sense anymore), pick something else in the theme and try that instead.

Productivity themed year got me to:

• Learn AutoHotkey
• Setup a central collection of notes
• Use a calendar app properly
• Finish several (profession related) books
• Track my internet time

and more! And, for maybe the first time, I finally feel like I did something with this whole resolution thing.

Favorite so far was probably Talos Principle 2. It was excellent, best movie of the year. And the puzzles were fun too.

to anyone who understand this behavior - what's the man trying to do here? Is there any charitable read? Having a hard time imagining it.

Note you'll need the regions to be connected (or allow yourself to color things differently if they are the same 'country' but disconnected). I forget if this causes problems for any world map.

depending on how much want to do, I have seen kits for ~$30. Pretty sure I've seen some small kits taken for camping, so they can't be too pricy. And if you can't afford it, just start bringing it up around town! Maybe somebody will get excited and do it for you.

An arithmetic miracle:

Let's define a sequence. We will start with 1 and 1.

To get the next number, square the last, add 1, and divide by the second to last. a(n+1) = ( a(n)^2 +1 )/ a(n-1) So the fourth number is (2*2+1)/1 =5, while the next is (25+1)/2 = 13. The sequence is thus:

1, 1, 2, 5, 13, 34, ...

If you keep computing (the numbers get large) you'll see that every time we get an integer. But every step involves a division! Usually dividing things gives fractions.

This last is called the somos sequence, and it shows up in fairly deep algebra.

As is the open variant: Minetest (Mineclone mod if you want vanilla)!

Fortunately containers can get bigger =)

While we aren't all the same, there's a difference between things that require holding 8 complicated things in mind at once, and things that require a little language learning and the intelligence to solve a crossword. This is closer to the latter - like doing a crossword in Spanish. You need to know a bunch of little things, but learning them is basically all tedium and not brilliant insights. (Taking these puzzles, creating a dozen new variants, and solving all of those probably does require managing a lot of complexity. But to understand the work of others, is not so bad)

Does the ama help? If so, how?

I imagine it as distracting, which might be enough to cope? But I'm not sure.

They've suddenly landed in a really controlling environment (be it a partner, parents, or a government), and wish to hide your relationship/keep you out of the crosshairs.

I've been using Memorix for years, and have no complaints. Light weight, backup and export features, color coding, repeatable reminders, and you can attach photos if needed. OTOH, not open source afaik.

The checking things off will persist though; for daily things that I want to repeat I manage them in the notifications tray instead of in the app.

On play store: https://play.google.com/store/apps/details?id=panama.android.notes&pcampaignid=web_share

Both actually! Two different groups of 3. Offline bunch has ended up doing baba is you for the last year or so (not coop, but puzzles are pretty easy to backseat game).

For me, actually put things in it, setup notifications for the day before (and on a device I actually see), add family, and check it before scheduling (some) things.

I didn't realize Lovers in a Dangerous Spacetime did more than 2! That's great!

Factorio is a dangerous, but very fun, suggestion =)

Would you then be posting your conclusions? Like, if you're gonna do that work on some of these posts anyway... may as well share.

Didn't realize it could do more than 2! That's wonderful!

Ah, so it's the probability you win by playing randomly. Gotcha. That makes sense, it becomes a choice between 2 doors

Why do you have a P(x1) = 1/2 at the start? I'm not sure what x1 means if we don't specify a strategy.

Agree that this is a circuit you should never use. But theoretically it could be a circuit that does.. something? Maybe?

Would the tears and their paths make interesting circuits? Salt water is probably a reasonable conductor, but I'm not sure how to model the eyes.

Not FOSS, but ad free and its been able to find the hidden RSS feeds for things OK. FeedDemon at: http://bradsoft.com/

Probably not what you are after, but maybe someone with a similar question.

If it's any consolation, you are almost certainly within ~3 years of understanding the solution and a dozen variants. It's not a super deep area. Probably doesn't really require calculus (you need continuous as in 'the lion doesn't teleport; that's cheating', but I think not much more).

It's likely in some cultural groups - and has been true for a friend or two of mine. A particular example was someone going to a Psych ward, where their phone was kept in a vault. Obviously you know more context than me. But the probability is nonzero.

Somebody dropped a fair bit of cash and got Balders Gate 3 running for everyone. It's been big enough to fill a lot of time, but probably wont solve the problem when we're not all on vacation.

But I think blaming children for the fact that all people are unbearable is... idk, you've mistaken a symptom for a problem? Working on the general misanthropy is probably a better start?

Oh that's cool - I had heard one or two examples only. Is there some popular writeup of the story from Savant's view?

Eh - surely this is because one party (rightly) had a platform of cutting police funding. Selfish explains most of this, surely?