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kkylin
searching PlanetScale…
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14 ms
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151.
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kkylin
4y ago
I recall an HN thread in which it was claimed that in fact most phones can, but to enable it means more FCC certifications etc. Can't find it offhand; someone more knowledgeble should jump in. (I'd love such a feature myself.)
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kkylin
4y ago
Our system too! Glad to see we're not the only ones needing a solution to that problem.
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kkylin
4y ago
Another nice example from mechanics is Kepler’s third law.
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kkylin
4y ago
This depends a lot on the school. A research university is going to have a lot of people that students never meet: accountants and lawyers to ensure compliance with federal regulation on grants, for example. The phrase "administrator
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kkylin
4y ago
https://en.wikipedia.org/wiki/Abc_conjecture#Some_consequenc...
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kkylin
4y ago
For anyone interested in this topic: there are commentaries on this paper as well as Gödel's own lecture on this in Volume III of his Collected Works.
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kkylin
4y ago
I use Octave when I teach linear algebra, but it is missing some things even for that, e.g., lasso was missing the last time I tried it. So back to Matlab it was. When I have time (not in the middle of an academic year) I might try to con
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kkylin
4y ago
I second this. My field (applied math) isn't super-dependent on having a grant, and writing a proposal once every couple years isn't a chore, and it's a good exercise to put your plans on paper in a coherent way and try to t
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kkylin
4y ago
Another thing that makes calculus hard to teach today (and not unrelated to the points being made) is that while a couple generations ago, every calculus student also took calc-based physics, that is no longer true today. With the way we c
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kkylin
4y ago
John Tukey also invented FFT and apparently was the first to use "software" in a publication: https://en.wikipedia.org/wiki/John_Tukey
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kkylin
4y ago
Thanks for the summary. I clicked on this thinking it was going to be about QFT, ether, and all that.
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kkylin
4y ago
Sadly it seems the Boneyard tours are no longer: https://pimaair.org/plan-your-visit/available-tours/ (They stopped at the onset of the pandemic and AFAIK never resumed.) The museum is still well worth visiting, a
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kkylin
4y ago
Are you talking about something like this? https://en.wikipedia.org/wiki/Kolmogorov%E2%80%93Arnold_repr...
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kkylin
4y ago
James Gleick's "Chaos" remains, in my view, a great popular book on the subject, and manages to convey many of the ideas at a conceptual level without getting technical. And if you enjoy that, you might also like Strogatz&#x
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kkylin
4y ago
Came here to say exactly this -- an APL-like notation + programming environment would seem to be a great way to program on a tablet + stylus. I'd love a notebook environment where I can mix equations, doodles, executable code, & t
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kkylin
4y ago
A related and more technical discussion at MathOverflow: https://mathoverflow.net/questions/433949/consequences-resul...
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kkylin
4y ago
I did for a very long time. Learned it from a biologist. In my experience bench scientists tend to have better notebook discipline than people in other professions.
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kkylin
4y ago
Things being what they are in the USA, the cost of a grad TA may also include the cost of healthcare. Plus most grad students would be charged out-of-state tuition, which can be quite a bit higher than the in-state rate.
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kkylin
4y ago
I've read the Dune and LOTR and Foundation trilogies multiple times, like many others on this list. I'll try to list some less obvious ones. Huygens and Barrow, Newton and Hooke by VI Arnold: neither a popular science book nor a
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kkylin
4y ago
Actually, the visual cortex of mammals is in the back of the head, about as far from the eyes as possible ( https://en.wikipedia.org/wiki/Visual_cortex ), whereas the visual area of octopus are (I think) right next to t
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kkylin
4y ago
It may be worth first understanding why g=2 (if you haven't before). This can be done on the basis of special relativity + quantum mechanics, i.e., the Dirac equation: https://en.wikipedia.org/wiki/Dirac_equation
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kkylin
4y ago
Like this? https://ocw.mit.edu/courses/6-001-structure-and-interpretati...
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kkylin
4y ago
To expand on these themes, you may be interested in reading up on these & related topics: Hamilton-Jacobi-Bellman equation: https://en.wikipedia.org/wiki/Hamilton%E2%80%93Jacobi%E2%80%... Pontryagin maximum princip
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kkylin
4y ago
I'd venture to guess everyone here knows what YouTube is even if they never use it. I wonder how many (even on this list) have seen a CRT? (I'm guessing the answer is "more than I think...")
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kkylin
5y ago
Not just spacing. The sequence also matters as they serve as binding sites for enzymes that can promote or repress the expression of downstream genes. As just one (relative simple) example of how complicated genetic circuitry can be, I re
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kkylin
5y ago
First thought: the curve in that first plot reflects the pseudospectrum? ( https://en.wikipedia.org/wiki/Pseudospectrum ) Spectra of nonnormal matrices can be very hard to calculate accurately.
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kkylin
5y ago
Preprint here: https://doi.org/10.1101/2021.08.22.457247
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kkylin
5y ago
Just switching to reader mode works for me, though it gets rid of images too. (Admittedly the pictures are what generally draw me to National Geographic.)
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kkylin
5y ago
I personally don't need more bandwidth when I'm on the go, but would love to see some real alternative to my local cable company.
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kkylin
5y ago
Absolutely agree with all this. I'd also want to add that another thing to think about is not just how unlikely any particular event is, but the probability of multiple unlikely events occurring across the globe in a relatively short
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