171–180 of 219 posts
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Gave me shivers reading it. Beautiful example of the incredible mystery of the human mind. Poof! And the solution materialized. Of course, all the groundwork had been laid. All the neurons primed. Just incredible. And that formula. Damn.
That was my thought. Why is it so damn complex? You’d think the solution would be simpler.
Why would I think that?
I have not checked the actual paper, but according to the article itself: > Moreover, the solution involved aspherical elements , which are harder to manufacture in a precise way and are thus more costly. > Their findings were published in the article General Formula for Bi-Aspheric Singlet Lens Design Free of Spherical Aberration, in the journal Applied Optics. I’m no expert in optics, but that does not sound like t…
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I don't understand the downvoting of the parent here, which is factually correct and worth noting. It's incredibly unhealthy and this is just down to marketing that anybody eats it. You can make really nice chocolate spreads with your own hazelnuts
The needlessly bad-faith "probably accidentally" is factually inaccurate.
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Hazelnut spread is one of those things that is much more commonly referred to as the brand name. No one says "Reynolds wrap" they say "aluminum foil". No one says "hazelnut spread", they say Nutella. No one says "resealable sandwich bags", they say ziploc bags.
Nutella though is a sugar-and-palm/vegetable-oil spread, which - probably accidentally - contains traces of hazelnuts, powdered milk and cocoa.
[0]Just went into the kitchen to check
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That seems like a circular dependency... Can you do economics without math?
Modern macroeconomists will disagree.
Fulltext: https://www.researchgate.net/publication/328536020_General_f...
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The economy is, and always has been, the society. I get that your comments are playful, at least in part, but the thing that makes discoveries worthwhile is usually getting them in the hands of mere mortals.
Since they put the paper on the arXiv, any mere mortal with internet access can download and read it, and some of them will find that worthwhile. The economy is an important part of society, but only part of it.
Slightly related: One thing I've learnt in Physics is that there are still a huge number of practical and fundamental problems to be solved. You might expect everything easy will already be done by now but that's just not true. Hence we still manage to write so many papers! In fact many Physicists have too many papers they want to write and not enough time to write them. This was a huge surprise for me coming in to m…
Just yesterday I was watching a video about machining flat surfaces, and it was mentioned that the reason why two very flat surfaces stick together isn't thoroughly understood yet. We can build things that deal with unimaginable precision, create new elements, compute with quantum effects, but we don't know why flat things stick together?
> After months of working on solving the problem, Rafael González recalls, “I remember one morning I was making myself a slice of bread with Nutella, when suddenly, I said out loud: Mothers! It is there!” > He then ran to his computer and started programming the idea. When he executed the solution and saw that it worked, he says he jumped all over the place. It is unclear whether he finished eating the Nutella bread.…
In math terms, f:X->X where X is compact and convex, and f is continuous, has a fixed point (exists x_0 in X, f(x_0)=x_0)