7, but like 3-4 of those are with footnotes. Like ...

No tomatoes, but tomato sauce is fine, except when it's the main thing.
No liver, except in a pâte.

it was made with a powder printer, no need for support.
You can make inner pieces
flic.kr/p/xHz4YK

It's a big part of why we love you.

(or, over thinking this and refocusing to speak only for myself: it's why I love you)

(damn I miss our floor con with the pizza and all the ADHD people)

I saw the Hu early during their first viral wave, in a tiny music club in Stockholm - 80% Mongolian audience, and once of the most amazing concert energies I've ever experienced!

It certainly was an interesting read (and somewhat timely since I find myself department chair with NO current elected seats on my standing committees... so we're holding emergency elections to fill 20-and-change committee seats, and are knee-deep in discussing voting system properties)

If you want to dig deeper into properties of this system, here's an excellent list of properties people care about:
electowiki.org/wiki/Categor...

A few I would start looking at first would be:
electowiki.org/wiki/Pareto_...
electowiki.org/wiki/Indepen...

Another issue would be that you could definitely have votes that are entirely disjoint from the seat winners: voters who neither rank nor approve of anyone who makes the seating cut. They would then end up in a situation similar to the first-past-the-post problems, where non-winning votes are wasted

It is not at all inconceivable with a situation where a candidate gets seated, but with _no_ top votes backing them. Would they be given "voice but not vote" in the assembly? (....which I see now you mention under "Broad approval?")

Soooooooooooo, not having done any detailed analysis and not being deeply mired in the intricacies of voting systems, one thing jumped out at me reading this (that might be at least partially handled by ideas in the refinements):

Today I was woken up by chainsaws. I counted at least half a dozen busted trees, one giant old one, on the castle grounds, and at least 3 in the village outside.

I hope that clarifies why my fascinated musings deviated from the classic Catalan grammar approach?

And thank you for writing a delightful paper! It is truly lovely when you read something (some distance outside of your own field) that makes ideas connect to each other.

7/7

And if you consider that punching a hole in a list means there is some list of things before the hole, and some list of things after it - the L(x)^2 description makes sense.

For a list with n entries, there are n-1 entries remaining in addition to the hole. And the hole can be in n place. 6/n

…describe with
L(x) = 1 + x*L(x), or L(x) = 1/(1-x) = 1 + x + x^2 + x^3 + …

So a list is either empty, or it has one entry, or two, or three, or, ....

Now the derivative here is:
∂(1/(1-x)) = 1/(1-x)^2 = L(x)^2
or taking it term by term:
∂L(x) = 0 + 1 + 2x + 3x^2 + 4x^3 + 5x^4 + … 5/n