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@freemo Here's the strategy I'd follow, compliant with the hard rules.

1st spin: Open two boxes diagonally opposite one another. Set both coins to heads.
2nd spin: Open two adjacent boxes. Set both coins to heads.
3rd spin: Open two diagonally opposite boxes. If one coin is tails, set it to heads and you win. If both coins are heads, set exactly one to tails and leave the other one heads.
4th spin: Open two adjacent boxes and flip both coins. If they were the same, you win.
5th spin: Open two diagonally opposite boxes. Flip both coins. You win.

Reasoning:
The first two moves guarantee that at least three of four coins are heads. If all four coins are heads, you've won, so we only have to worry about the case where exactly three are heads.
The third move either turns over the last remaining tails, in which case you win, or it leaves you with two adjacent heads and two adjacent tails.
The fourth move either turns over all the remaining heads, all the remaining tails, or one of each. In the first and second cases, you win; in the third case you are left with alternating heads and tails where you formerly had adjacent heads and adjacent tails.
The fifth move turns over all the remaining heads or all the remaining tails, depending on whether you happen to open the odds or the evens, so you win.

@lefarfadet it says "randomly" which i took to mean it can stay the same or turn 90 degrees clockwise, 90 degrees anticlockwise, or 180 degrees around, but you don't know because you were blindfolded while it was spinning.

@freemo

@valleyforge What happens when the management no longer thinks the company's viable, or the proprietor wants to retire, etc.? Selling to a competitor allows the business's customers to keep receiving whatever service it had been providing.

For example, in aviation: when US Airways bought out the bankrupt American Airlines, it inherited the obligations to transport AA passengers who already bought tickets. When Thomas Cook went bankrupt without a buyer, hundreds of thousands of passengers just lost their money (technically, they held unsecured debt for whatever refund they were due, but that was effectively worthless, given that the airports secured their debt by impounding TC's assets), and many were stranded abroad.

@mandlebro In the context of the specific problem (mixture of two Gaussian distributions) he's discussing, the likelihood is nonzero. He's set only μ̂₁=yₓ, σ̂₁=0, but μ̂₂ and σ̂₂ can be anything; so he's effectively mixing a finite Gaussian with a Dirac delta function as an edge case. If you say Δₓ=0 and all other Δ=1, you're using the Dirac delta to explain yₓ and the finite Gaussian to explain all other y. The Dirac delta doesn't have to explain the other points, so the fact that it'd be zero at those values of y doesn't force the likelihood to zero.

That said, I don't see how he concludes this gives *infinite* likelihood (or even necessarily the maximum). It seems to me it just collapses to the likelihood of the finite Gaussian - one point goes to certainty (i.e. 1) and the others go to their likelihood under the finite Gaussian, which is between zero and one. But this isn't the sort of math I do much of, and intuition isn't always reliable when terms are going to infinity.

Hopefully my reasoning makes sense as to why the likelihood isn't zero in general. If it becomes clear to you why it goes to infinity and/or represents a maximum, please share your insights - you've got me curious! Alternatively, if you disagree with my reasoning, and you still think it should be zero, I'm happy to reconsider my position on it.

@realcaseyrollins They don't usually call it converting unless it involves a baptism, so Christians of other denominations are simply "received" into the church, but yeah it happens. And the rules for baptism are pretty permissive, so most Christian denominations (with a few exceptions, notably the Mormons) are considered validly baptised.

Source: went to Catholic school as a non-Christian, they make sure you know how you could join up if you want

It would make sense, then, for replies to appear as comments, so let's test that hypothesis.

@freemo I blame mystery novels. The clever detective finds some clues, and announces he's got a theory but he needs more evidence to confirm it. This has led to the public using the word "theory" for what scientists would call a "hypothesis" and thereby devaluing the term.

@fikran

[Here](git.sr.ht/~vpzom/lotide/tree/m)'s what they have - I don't see any human-readable documentation, and all the paths are marked "unstable", but it seems to be what there is for now.

@freemo @realcaseyrollins

@freemo

Yes* - I just thought it would be a nice addition to the comparison for completeness's sake as a fourth example (which is why I numbered it as 4).

* actually, ß is from ſʒ, not ſs, but functionally that makes little difference

@freemo

4. Eszett ligature? I know it was originally used for "sz", but today it's "ss"

@calligraphy

@louisrcouture ses convictions au sujet de la vaccination, aussi bien que celles au sujet du hijab? ;)

@freemo

I think you are conflating it with quadnary - when you take a double negative and double it again ;)

@realcaseyrollins

@Pat wait, what? If you catch COVID and don't recover, doesn't that mean you stay sick until you die? Hard to see how you have any chance to catch it again after that.

@realcaseyrollins Per the [CBC](cbc.ca/1.6268331), one parent says her kid had heard threats:

> Robin Redding said her son, Treshan Bryant, is a 12th grader at the school but stayed home on Tuesday. She said he had heard threats of a shooting at the school.
...
> Bryant said he texted several younger cousins in the morning and they said they didn't want to go to school, and he got a bad feeling.

@Pat This also happens every so often with Sydney, Nova Scotia. Europeans search for flights to Sydney and find one that's cheaper than the rest, not realising that's because it's going to YQY instead of SYD.

@freemo

@SpudsRudeEye There's actually a holiday Wednesday evening into Thursday this week; if you're casually interested and just want to spectate before making any commitment, the observance for that wouldn't be a bad place to start.

@freemo Wouldn't that be a bandpass filter, the reverse of a notch filter? Setting your notch filter too narrow results in you ignoring too little, not too much.

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