My house is plastered, and it is substantially more soundproofed than drywalled houses in the neighborhood. It is not a function of the construction method, since my house is stick framed just like my neighbors.
Tan isn't exactly non-violet either, so more confused on the tangent:
>He once tweeted that seven of the city’s supervisors — all progressives — should “die slow, motherfuckers” in a late-night polemic. The tweet, which Tan said was a joke, prompted hateful mail and police reports.
I have had a similar experience; my preferred material to work with is wood. However, as I got more into tinkering with electronics and vintage computing, I'm finding more instances where wood does not achieve sufficient strength-to-weight ratio, especially for small parts where wood grain and anisotropy becomes a significant factor to consider.
I'm a bit awestruck. Was there any discussion about it among your peers? We might be a generation or two apart, I saw that video when I was not yet an adult and it might have been literally part of my introduction to the person that is Richard Stallman. It definitely wasn't a good first impression.
When sorting eigenpairs of a dense matrix, usually tou end up with a Schur decomposition. The basic operation that you can do is swap two adjacent eigenvalues on the diagonal, so bubblesort is a natural candidate.
We are constantly losing technology as the treadmill of technological progress continues. Casette tapes, CRT displays, and perhaps photographic film are some examples. One can argue that there are "strictly better" technologies available now, but there are always niche cases where the new and obsolete technology are not quite fungible. What if for some reason a modern industry gets wiped out? Then we'd have to revisit the lost art.
As an immediate example, my wife's business needs p-channel small signal JFETs. These apparently are no longer fabricated, and with the way the semiconductor industry moves, they are likely never coming back in any appreciable quantity. So once the world's supply of obsoleted semiconductors dries up, the technology will basically be lost.
I don't understand why you believe Banach-Tarski to be obviously false. All that BT tells me is that matter is not modeled by a continuum since matter is composed of discrete atoms. This says nothing of the falsity of BT or the continuum.
All that BT tells me is that when I break up a set (sphere) into multiple sets with no defined measure (how the construction works) I shouldn't expect reassemlbing those sets should have the same original measure as the starting set.
> Everyone ... outside of China is forgetting and losing capabilities.
To me this is the fundamental problem with the notion of intellectual property and its protection: so much of it is trade secret and undocumented (let's be real, we disclose as little in patents as we can get away with). Companies come and go, and in the process, institutional knowledge of how to do things is lost because there is no incentive to make it public for others to replicate. This also means that once lost, it must be rediscovered later.
This is why open source software is stronger than ever despite its shortcomings and efforts of large orgs to kill it. Rather than bending backwards and treating it like property (as originally demanded by Bill Gates in his open letter decades ago, we did the right thing and treated it like knowledge (e.g. like mathematics).
Intellectual property was a horrible flawed idea that the world will continue to pay for dearly for decades after it is finally discarded.
For general polynomials, it matters a great deal in what basis it is represented. The typical monomial basis is usually not the best from a numerical standpoint. I am aware of some modern methods such as this: https://arxiv.org/pdf/1611.02435
For polynomials expressed in e.g. a Bernstein basis, there are often much faster and stable tailored methods working solving for the eigenvalues of a companion matrix of a different form.
That doesn't sound right, nearest-point queries for cubic Béziers take at least a quintic solver, and this library uses a subdivision-based algorithm with Bernstein polynomials that is seemingly designed to work with any degree [0]. (Or at least, it doesn't have any code that complains when the degree is too large.)
My apologies, it looks like it was switched over [0] to an external root-finder crate poly-cool [1] soon after I wrote my comment. (I should know better than to link to branches directly, but there weren't any useful tags on the repo, so I got lazy. For reference, I was trying to link to [2].)
Curiously, the poly-cool crate appears to use the monomial basis instead of the Bernstein basis that the old version was using.
