Readit NewsI've no idea myself, I just thought it was interesting for comparison.
If it were only worth pennies an ounce, numerous industries wouldn't be paying what they do for it. The fact that many industries value it at several thousand dollars an ounce is self-evident from their continued use of it.
Some bitcoin advocates will talk about how useful it is as a currency, and I wonder how much bitcoin is actually used for purposes other then to hope you can sell it to someone else for more than you paid.
> In fact, in any group with binary operation +, identity element 0, and a non-identity element a, we have a + a + a = a if and only if a + a = 0 (i.e. a has order 2).
The "if" is correct. The "only if" is not. (I assume that '+' and '0' are used as shorthand for "any binary operation" and "the identity of that binary operation", as I don't recall cases where "+" and "*" are used for specific types of binary operations).
The article also describes a theory that human speech evolved to occupy an unoccupied space in frequency vs. envelope duration space. It makes no explicit connection between that fact and the type of transform the ear does—but one would suspect that the specific characteristics of the human cochlea might be tuned to human speech while still being able to process environmental and animal sounds sufficiently well.
A more complicated hypothesis off the top of my head: the location of human speech in frequency/envelope is a tradeoff between (1) occupying an unfilled niche in sound space; (2) optimal information density taking brain processing speed into account; and (3) evolutionary constraints on physiology of sound production and hearing.
Ideally we could just increase the tax credits so it's large enough to cover the childcare expenses (and other necessities), and let the families decide what is best. And yes, some people are going to do a bad job taking care of their kids and spend the money on something else. But my understanding is that it generally works well to just give people money, rather than pay for specific things.
https://news.ycombinator.com/item?id=47222705
Edit: cool article, I have myself speculated that we will get a new language made for/by llms that will be torture writing by hand/ide but easy to read/follow/navigate/check for a human and super easy for Llms to develop and maintain.