AFAIK the benefit of changing passwords regularly is highly debatable anyway. If so, I think "Don't change it, since you would have to memorize the new one" is more logical advice.
If the similarity of ciphertexts reveals information about the similarity of the cleartexts, then given you have the encrypted password and the encryption algorithm, couldn't you guess the cleartext password by performing search? The point about hashes is that nobody can decrypt, although everybody knows the "encryption" algorithm. So not sure that homomorphic encryption would help in this case. Or am I missing something?
Supposedly, you'd only be able to get feedback about the similarity of a password in a state where you're already authenticated. So I guess this would help an attacker get the password when they've already gained access in some other way. But that's a big assumption.
Thanks for that explanation. So if a county has, say, a lot of hospices (and people change their residency when they go there, not sure how that works in the US), that will affect the expectancy negatively, saying nothing about how living in that county affects longevity.
The "life expectancy of a county" is not a trivial thing to define if you ask me. Is it how long children born now in a county can expect to live, no matter where they live or die, does it only depend on people who die in the county, or is it somehow weighted by the time people live in the county? Maybe there's a standard definition, but my guess is that most people don't know.
> The transition from ratios to equal temperament was kind of jarring
I agree. I'd like the course to comment on the fact that the ratios used in the pentatone scale and the 0th, 2nd, 4th, 7th and 9th powers of the 12th root of 2 don't match exactly.