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kmill
searching PlanetScale…
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35 ms
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271.
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by
kmill
6y ago
It even works with two digons sharing their boundaries. Or two unigons. Or, perversely, it works with a single vertex and a single face. The face has no sides. (Think of a sphere with a single vertex on it.)
272.
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kmill
6y ago
So is the helium shortage the origin of the sad clowns in The Sims?
273.
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kmill
6y ago
Or he might understand it as an organ stop. The 5 1⁄3′ (quint) and 4' (octave) stops just create constant parallels. The prohibition of parallel perfect intervals is for independence of distinct voices, which strengthens counterpoint.
274.
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kmill
6y ago
For the first, I frequently (for my own projects) change the Array prototype to have Array.prototype.toString = function () { return '[' + this.join(', ') + ']'; }; It would be convenient if Ob
275.
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kmill
6y ago
Javascript is a lot saner than that. The result is "12". (I'm ok with automatic casting so long as it's an embedding. Every number has a reasonable string representation, but not vice versa. Wanting explicit casts like
276.
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kmill
6y ago
Yeah, and putting a natural measure on the space of rectangles, squares are a measure-zero subset. In other words there are so many rectangles, almost no rectangles are squares.
277.
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kmill
6y ago
One reason people care about knots in low-dimensional topology is that every compact ("finite-volume") 3-dimensional manifold without boundary can be constructed by taking a 3-sphere (the set of points in R^4 unit distance from th
278.
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kmill
6y ago
Yeah, it's pretty cool! On one hand you have knot traces, which are spaces that completely determine whether a knot is slice, and on the other you have the Rassmussen s-invariant, which can sometimes tell whether a knot isn't sli
279.
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kmill
6y ago
This is definitely her field. Pretty much every individual topic in the paper was present at the conference mentioned in the acknowledgments, either during a talk or at the coffee breaks (not all put together, of course). I don't thi
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kmill
6y ago
I'm confused, since it's a somewhat old word: https://www.etymonline.com/word/varsity#etymonline_v_4652
281.
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kmill
6y ago
Is it apt comparing being right about things to a broken clock? Unlike a clock, there's no guarantee that anyone might eventually be right about anything. Sure, a monkey at a typewriter will eventually produce Shakespeare's comp
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kmill
6y ago
I agree, but I'm saying something stronger here. The reaction notation is equivalent to a FRACTRAN program. Given a prime<->species correspondence, it survives a round trip to and from fractional notation, so to speak ("
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kmill
6y ago
I'd call the reaction notation pseudocode inasmuch as I'd call assembly language pseudocode or prime factorizations pseudocode -- they're equivalent in completely mechanical way. (Caveat: there needs to be a prime<->sp
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kmill
6y ago
In honor of Conway, there have been a few FRACTRAN-related questions and answers on https://codegolf.stackexchange.com/ https://codegolf.stackexchange.com/a/203685 An eight-fraction program that counts
285.
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kmill
6y ago
I've played with some programs I made to explore 4D objects, and, yes, you do gain some intuition. Interestingly, I was told one of George Boole's daughters got lessons from a guy on 4D objects by using colored wooden blocks. She
286.
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kmill
6y ago
Adding to that, even just six frequencies to choose from would let you have twenty distinct targets. (Six choose three.)
287.
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kmill
6y ago
I can see the similarity, though Git seems like an interesting differentiating example. Technically, it is extremely simple. A commit is a file tree with content stored in blobs along with a reference to the previous commit. A branch is the
288.
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kmill
6y ago
I'm vaguely remembering a talk I saw at Microsoft Research in 2013 by someone who studies psychoacoustics at a university I can't recall. They created an acoustic model that predicted certain qualities of a sound (wetness, harshne
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kmill
6y ago
It makes certain kinds of representation theory easier to deal with. Rather than just group homomorphisms to automorphisms of a vector space (or ring homomorphisms to endomorphisms of a vector space) you can more generally study functors fr
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kmill
6y ago
I don't think so, because the simulation uses vortex particles with continuous positions. Sure, time is discretized, but space is not, like how grid-based methods are.
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kmill
6y ago
A while back I was learning about doing high quality approximate fluid simulations. If you take the curl of the Navier-Stokes equation and quantize (perhaps not the right word), you can simulate a collection of vortex particles that generat
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kmill
6y ago
I found it disproportionately mindblowing realizing omega and omicron are literally "big o" and "little o."
293.
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kmill
6y ago
For my first encounter with lowercase xi, I was sure the professor was taking advantage of his tenure and trying to pass off a scribble as a variable, and that was with my having made a point to familiarize myself with the Greek alphabet
294.
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kmill
7y ago
No, they can't, since they are just representations of the knot diagram. As for uniqueness, even "rational knots," the ones from the simplest of the fundamental polyhedra, have multiple fractions representing them.
295.
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kmill
7y ago
That's known in Haskell as the List monad. There's a function to transform Maybe (like Rust's Option) to lists. In Haskell, lists can be infinitely long. Regarding the IO monad, Simon Peyton Jones has an article explaining w
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kmill
7y ago
Thanks for the confirmation! I've long wondered whether boids was from a NY accent -- 'bird-oid object' has the smell of a post-hoc construction.
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kmill
7y ago
Has anyone compared JabRef to Zotero? I chose JabRef a while back (its database is nothing more than your bib file, it helps organize your pdfs well enough, it can import bib entries from MathSciNet and the ArXiv, it runs fast enough), but
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kmill
7y ago
The set membership symbol is called a lunate epsilon. As I half remember, someone used the Greek version of the first letter of the Latin word "est," meaning "is."
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kmill
7y ago
It isn't? https://en.wiktionary.org/wiki/academical https://www.collinsdictionary.com/us/dictionary/english/acad... https://www.merriam-webster.com/dictionary/a
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kmill
7y ago
Here are a few things I can think of: 1. My Dropbox folder of paper pdfs is a total mess, only made manageable because I use JabRef to open them. From within LiquidText, I have a hard time finding the papers I want. Being able to find pap
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