eigenket

12 ms·

91.
by eigenket 2y ago
Quanta articles are usually very good. I'm a scientist and I have been contacted by Quanta to fact-check their work before. They're very keen to make things as correct as possible. They also don't just write articles about th
92.
by eigenket 2y ago
The headline is not lying. Bekenstein, Hawking, Bardeen and Carter asserted four laws of black-hole thermodynamics and proved three of them. The fourth is what the guys this article is about proved is wrong. The sentence with the word plaus
93.
by eigenket 2y ago
You can draw a big "C" shape that goes around 3 edges of the board and then fill in the middle with wiggles. This works for any rectangular board where one of the edge lengths is even. You already need one of the side lengths to b
94.
by eigenket 2y ago
Write down a Hamiltonian cycle for the (undirected) graph where the nodes are given by the squares of the chessboard and are connected by edges if they are (orthogonally) adjacent. Notice that because the squares are different colors, delet
95.
by eigenket 2y ago
This is the relevant preprint https://arxiv.org/abs/1903.02651
96.
by eigenket 2y ago
The connection is a field of study today called Galois theory, and especially the "fundamental theorem of Galois theory" https://en.wikipedia.org/wiki/Fundamental_theorem_of_Galois_... Roughly speaking what y
97.
by eigenket 2y ago
Quanta Magazine generally write very well written, well researched and pretty comprehensive articles. They cite their sources and they're very careful to get science as correct as they possibly can (I'm a scientist, and they once
98.
by eigenket 2y ago
Its true of numbers whose with a decimal representation which ends in an infinite string of 9s, so 0.939999... = 0.94. This is because we write numbers in base 10. If you write numbers in base 2 its equal to numbers whose binary representat
99.
by eigenket 2y ago
Its not just redshift. If you look at very distant galaxies you see their apparent angular size is larger than you expect. https://en.wikipedia.org/wiki/Angular_diameter_distance You know how distant objects appear sma
100.
by eigenket 2y ago
I guess? Mostly the cool applications in physics and differential geometry are about tensor fields, which are more complicated than bare tensors. You could argue that they're talking about finite dimensional tensors but tensor fields a
101.
by eigenket 2y ago
Nah, at least in the context of General Relativity tensors and tensor fields are everything. Geometric algebra doesn't add much.
102.
by eigenket 2y ago
This only works in finite dimensions, which for mathematicians excludes pretty much all of the interesting cases.
103.
by eigenket 2y ago
Sure, if you change either of the units you can always change the other one to fix the equation again.
104.
by eigenket 2y ago
pi is always just pi, but g may be defined in terms of the meter.
105.
by eigenket 2y ago
Nope, it completely vanishes in other units. If you do all your distance measurements in feet, for example, the value of pi is still about 3.14 but the acceleration due to gravity at the earth's surface is about 32 feet s^(-2). If you
106.
by eigenket 2y ago
Rule 110 is not a simple boolean function. It's a cellular automata. The boolean function is part of its description but not the whole thing. For example if you take the standard rule 110, but run it with a different background pattern
107.
by eigenket 2y ago
Specifically I was responding to this >There is absolutely no advantage in showing that some system can compute "Rule 110". It is simpler and clearer to show that it can compute AND and XOR, or AND and NOT. Which is explicitly
108.
by eigenket 2y ago
As far as I can tell from your comment you have the terms "functional complete" and "Turing complete" confused. These are emphatically not the same thing. A circuit of (e.g.) NAND gates defines a mathematical function ov
109.
by eigenket 2y ago
Technically yeah but there is a natural isomorphism between struct { int A; float B; } and struct { float B; int A; } so if you're willing to do everything up to isomorphism (which is usually completely fine and standard) then you get
110.
by eigenket 2y ago
A ring forms an Abelian group with just its additive operation, so you basically have subtraction there. As far I can tell the structure we have formed by these datatypes is a semiring.
111.
by eigenket 2y ago
This is obvious because a straight line is a (degenerate) example of a quadratic or cubic Bezier curve.
112.
by eigenket 2y ago
The known (non-sterile) neutrinos are very light, but there's no particular reason a hypothetical sterile neutrino would be.You can cook up sterile neutrinos with very large masses if you want to https://arxiv.org/abs
113.
by eigenket 2y ago
Its not quite that, the thing you're describing is called helicity . Helicity and chirality are closely related, they're the same if your particle is massless for example, but for massive particles they aren't the same. Ima
114.
by eigenket 2y ago
> If I understand, the conversion of gallium into germanium is exactly a beta interaction In a "standard" beta decay the neutron turns into a proton and emits an electron and an anti-electron neutrino. In this reaction its abso
115.
by eigenket 2y ago
I mean I just skimmed through the thread you replied in and I don't see anyone making any of the arguments you're arguing against. No one is claiming that beef and tofu are identical in flavour or whatever. No one (as far as I can
116.
by eigenket 2y ago
>There will be four ways in which ISA systems will work to slow the vehicle down, and it will be up to the manufacturers to pick which one they want to use. The EU regulations permit a system that can use a cascaded acoustic warning, a c
117.
by eigenket 2y ago
This is exactly the sort of "argument" which makes talking with Americans (I'm assuming here, but you sound like an American to me) such an unenjoyable pastime. This is the level of strawman we show to small children as examp
118.
by eigenket 2y ago
The fact that vegetarians and vegans exist isn't a "sampling bias".
119.
by eigenket 2y ago
Ah yeah, this seems like a perfectly sensible and not wildly exaggerated reply. I'm sorry that people taking personal responsibility for the results of their actions provokes such a response in you.
120.
by eigenket 2y ago
We are humans. We are the smartest and most capable things on the planet. As far as we know we're the smartest and most capable things in the universe . That capability affords us a lot of privileges, including a much more comfortable

More ›