WhoresonWells

joined 1 year ago
[–] [email protected] 4 points 3 months ago

Since this is everyone's favorite example of telescoping sums, let's do it another way just for giggles.

Combinatorial proofThe denominator is P(n+1, 2) which is the number of ways for 2 specified horses to finish 1st and second in an n+1 horse race. So imagine you're racing against horses numbered {1, 2, 3, ....}. Either you win, which has probability 0 in the limit, or there is a lowest numbered horse, n, that finishes ahead of you. The probability that you beat horses {1,2, ... , n-1} but lose to n is (n-1)! / (n+1)! or P(n+1, 2) or 1/(n^2^+n), the nth term of the series. Summing these mutually exclusive cases exhausts all outcomes except the infinitesimal possibility that you win. Therefore the infinite sum is exactly 1.


[–] [email protected] 1 points 4 months ago

Unless Maine also repeals their use of instant runoff voting for the presidential election, their own votes won't count toward the national popular vote. The compact makes no provision for counting ranked ballots, and there isn't really any fair way to do so anyway.

[–] [email protected] 3 points 4 months ago

I have a bolo tie whose slide ornament is carved anthracite.

I've never shoveled coal.

[–] [email protected] 10 points 5 months ago (2 children)

Bob said he's coming, but Janice said they can't make it.

[–] [email protected] 3 points 5 months ago (1 children)

The Gargoyle by Andrew Davidson

It starts with the nameless narrator experiencing a near-fatal car crash due to his drug and alcohol induced hallucinations. During his lengthy recovery in the burn ward, he meets a psych patient who alleges their story begins 700 years ago in a German monastery. She tells him stories about their past in Germany, including how she obtained and translated a copy of Dante's Inferno predating all known German translations. She tells other stories too, about a Japanese glass craftswoman, an Icelandic Viking, an Italian blacksmith, maybe some others, most of whom die young and tragically. She's also a talented sculptor of stone gargoyles, a skill she allegedly learned from the narrator. The narrator suspects her stories are just the delusions of a schizophrenic, but can't go back to his pre-accident life, so he agrees to go home with her to continue his recovery, and maybe learn a little more about her and why she's taken an interest in him.

I'm about 3/4 through it and impressed with how it's written. Unfortunately, I never read the Divine Comedy, so I'm pretty sure I missed some things that a better educated reader would have recognized.

[–] [email protected] 2 points 6 months ago (1 children)

Fish would eat you if they got the chance.

[–] [email protected] 9 points 6 months ago

Once, I made an account for something that let me write my own security question and answer. I thought that was much better than the usual options and wrote something that cryptically referenced a difficult problem I once worked on. The answer could possibly be found online, but only to someone who properly understood the question. Later, when I needed to authenticate myself again, I got my security question. The answer isn't something you typically memorize, but I knew what the prompt meant and how to work it out so I did so.

But I was too slow. Apparently you had to answer within one minute. It took me about ten so it locked me out. Tech support helpfully reset my password after merely verifying my phone number and SSN which are probably known to thousands.

[–] [email protected] 57 points 6 months ago (5 children)

Can we just let gender-neutral toilets be the default so we can all stop worrying this? The fact that the stranger shitting next stall over may or may not have a penis is not a problem. Having to scrape turds off my shoe because someone followed this guy's advise and shat on the sidewalk makes it my problem.

[–] [email protected] 1 points 7 months ago

Not sure about MIchigan in particular, but other states have, in relatively recent history, given ballot access to presidential candidates who were unambiguously constitutionally ineligible for the office. It doesn't make much sense to me either, but apparently neither the 14th amendment, nor any other federal law restricts who can run for president, merely who can hold the office if elected.

[–] [email protected] 4 points 8 months ago (1 children)
[–] [email protected] 1 points 8 months ago

I see some correct solutions for the 50% case here already, so this reply is going for a perfect score within two tries.

There are 16 ways to answer the quiz, one of which is correct. Assuming you don't repeat your previous answers, two attempts give you a 2/16 or 1/8 chance that one of them is perfect.

Now if you get feedback between your attempts, you should be able to do better. Let's see by how much and break it into cases:

  1. Your first guess is already perfect. This happens 1/16 of the time. No further guessing is needed.

  2. Your first guess is 50% correct. This happens 3/8 of the time. Picking one of the unguessed answers improves your score to 100% 1/6 of the time.

  3. Your first guess is completely wrong. This happens 9/16 of the time. Picking different answers for both questions wins 1/9 of the time.

So the overall chance of a perfect score is the weighted sum of these cases or 1/16 + (3/8 * 1/6) + (9/16 * 1/9) = 3/16.

 

Wordle rules: Yellow letters present in another position; Grey letters are unused.

Took me longer than usual to find anything that fit.

 

I got a good deal on a 3.5 pound bag of Swedish Fish, but they're "best by" Nov 14.

So which will make me sicker? Eating them all within a week, or eating them after they go bad.

 

I thought of a few examples, but want some more. Don't count songs with nonsense lyrics or instrumentals without lyrics. Don't count bilingual songs (unless neither of them is English, or if the English portions are commonly omitted). Don't count songs primarily popular among immigrant populations or others fluent in that language.

Basically, songs an American monoglot could sing along with, but couldn't translate.

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