I think one reason it's discouraged is that it's not completely clear how long it lasts, and getting it early may result in less protection later in life. Also it's only been tested in that age group. (At least, this is…
Research mathematicians have been finding the tools useful [1][2]. I think those problems are interesting, novel, and hard. The AI might stumble sometimes, but it also produces meaningful, quality results sometimes. For…
In that usage the object (football) ends up in the state of spiralling. So the HN title would, strictly speaking, mean that the magnetic fields are causing the black hole to spiral, which isn't right. It's probably sort…
This comment made me curious so I looked up some data (sorry for the formatting, I don't know how to do it better): Guns per 100 people - Finland 2017: 32.49 (total of 1.79 million) [1] - US 2017: 120.5 (total of 393…
Right. What "reduction in biodiversity" means is that some species will adapt fast enough and some won't. Unfortunately, there is no lower limit to "reduction in biodiversity".
> some tropical trees will still be able to photosynthesize in tropical regions. Those will become the dominant species. Unless the environmental changes happen too fast for adaptation to keep up with--the tree of life…
And another fun and powerful technique is "proof by intimidation" (https://en.wikipedia.org/wiki/Proof_by_intimidation), in which you don't have to know what you're doing, but other people have to think you do.
Not as prolific as that Nicolas Bourbaki guy, though!
John Conway showed a generalization of this problem is undecidable. I can't find a PDF but there's a blurb and citation on wikipedia: https://en.wikipedia.org/wiki/Collatz_conjecture#cite_ref-33 I don't know enough to…
I don't think it's correct as stated in the article. Looking at the paper, it basically says: the orbit starting with N dips to f(N) for "most" N, where f is a function that goes to infinity. So, you can't pick f(N) =…
The authors of the paper are academics in university CS departments with heavy math backgrounds (one with a B.S. in mathematics, another was a visiting professor at MIT dept of mathematics). I don't understand what you…
Feedback is critical, though. I imagine many folks who have watched a lot of videos on, say, economics or history or physics or whatever else hugely overestimate what they understand since they get no expert feedback to…
The little cartoon shows they are ambient-isotopic--that they are just topologically equivalent is pretty clear already!
I think one reason it's discouraged is that it's not completely clear how long it lasts, and getting it early may result in less protection later in life. Also it's only been tested in that age group. (At least, this is…
Research mathematicians have been finding the tools useful [1][2]. I think those problems are interesting, novel, and hard. The AI might stumble sometimes, but it also produces meaningful, quality results sometimes. For…
In that usage the object (football) ends up in the state of spiralling. So the HN title would, strictly speaking, mean that the magnetic fields are causing the black hole to spiral, which isn't right. It's probably sort…
This comment made me curious so I looked up some data (sorry for the formatting, I don't know how to do it better): Guns per 100 people - Finland 2017: 32.49 (total of 1.79 million) [1] - US 2017: 120.5 (total of 393…
Right. What "reduction in biodiversity" means is that some species will adapt fast enough and some won't. Unfortunately, there is no lower limit to "reduction in biodiversity".
> some tropical trees will still be able to photosynthesize in tropical regions. Those will become the dominant species. Unless the environmental changes happen too fast for adaptation to keep up with--the tree of life…
And another fun and powerful technique is "proof by intimidation" (https://en.wikipedia.org/wiki/Proof_by_intimidation), in which you don't have to know what you're doing, but other people have to think you do.
Not as prolific as that Nicolas Bourbaki guy, though!
John Conway showed a generalization of this problem is undecidable. I can't find a PDF but there's a blurb and citation on wikipedia: https://en.wikipedia.org/wiki/Collatz_conjecture#cite_ref-33 I don't know enough to…
I don't think it's correct as stated in the article. Looking at the paper, it basically says: the orbit starting with N dips to f(N) for "most" N, where f is a function that goes to infinity. So, you can't pick f(N) =…
The authors of the paper are academics in university CS departments with heavy math backgrounds (one with a B.S. in mathematics, another was a visiting professor at MIT dept of mathematics). I don't understand what you…
Feedback is critical, though. I imagine many folks who have watched a lot of videos on, say, economics or history or physics or whatever else hugely overestimate what they understand since they get no expert feedback to…
The little cartoon shows they are ambient-isotopic--that they are just topologically equivalent is pretty clear already!