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Showing content with the highest reputation on 07/04/24 in all areas

  1. Close enough. that no integers a, b, c > 0 could possibly satisfy the equation an+bn=cn for n also integer and greater than 2. Otherwise there trivially are such a's b's and c's aplenty.* I know of no practical applications of it. But I wouldn't rule them out. * Counterexample: n=3, a=2, b=1, c=91/3
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  2. No, fundamental particles like neutrinos electrons, and quarks have no internal structure and are accurately defined as points with 'diffuse edges', for all intents and purposes. No structure means they cannot be subdivided into smaller parts. Released particles are not necessarily constituent particles of the incident composite particles that take part in a reaction. Quite often they are a result of the energy of the reaction and the need to balance it, and momentum, before and after said reaction. However these sort of questions are now off topic in this thread. Start another if you wish more details, or have further questions. All this stuff is covered in any introductory Physics textbook; or even Wiki.
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  3. Just about every country has the know-how to make features down to about 30-40 nm. The prohibitive part is the cost of building such foundries, and the amount of defective chips you are willing to put up with. Over the last 50 years, growing pure Silicon crystals, from which the die discs are cut, has become an art. And the cost of setting up a foundry and clean lithography facilities has become astronomical. IIRC, AMD built their own foundry in the early 2000s in Germany, to compete with Intel. They quickly found it uneconomical, spun it off as Global Foundries, and went back to using TSMC, along with nVidia and Apple. And while IBM maintains its own research facilities, I don't think they fabricate any more either. Once you get down below 30-40 nm, things become a little more complicated. Proprietary techniques are utilized, which sometimes blur the line between feature sizes, or make for an 'apple to orange' comparison. For example 3D features, and mixed feature size, made Intel 14 and 10 nm chips comparable to TSMC 10 and 7 nm chips. But since the 'general impression' is that power consumption and number of transistors are related to feature size, being able to claim smaller features is a big marketing advantage. TSMC is already advertising what they call 5 nm chips and probably sampling 2 nm chips. Keep in mind that the electron's wavelength is in the pm range, so once features get below the nm range, you may have electrons tunneling between 'features', making such chips worthless.
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  4. Better late than never. The fact is, quite a few in the media were raising questions about Biden's mental state over a year ago, but were shouted down with the same objections we're seeing here. Those to blame are the corrupt DNC and those around Biden who sought to shield his decline from the public eye for their own personal gain. I disagree that it's too late. Trump remains deeply unpopular outside of his MAGA base. If you think Biden is really the best candidate the Dems have to offer, we've got much bigger problems. Unfortunately, "Blue MAGA" seems to have arisen in the Democratic party. A contrived attempt at "unity" won't capture independents unfortunately, which is what we need to win. People have to actually believe Biden is the best man for the job, which he clearly demonstrated that he isn't. It's questionable that he'll be able to do the job in 1-2 years, given his age.
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  5. That's when the sun burns up most of its hydrogen. Long before it does that, it will be so bright with energy that Earth will dry out. Earth and Mars might even survive as planets as the sun goes red giant, but they'll be dry rocks, and they won't be habitable.
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  6. Your technical analysis is quite convincing. The way you broke down the costs to show this…breathtaking.
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  7. Based on your logic, countries with regular famines should have expanded beyond our solar system by now.
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  8. The phrasing of the OP certainly suggests it - it’s not “should we replace Biden?” It skips past that to the position that we should (and skips examining all the reasons it would be disastrous) which is GOP propaganda. Now we have a vague mention of a poll with another bit of spin, but no link to it. It’s meant to have the left admit defeat before the battle has happened. Waste time and effort thinking about some pie-in-the-sky scenarios that aren’t going to happen, feeding the idea that some perfect candidate is out there. There never will be. Any one person’s perfect candidate is mediocre in someone else’s eyes. As the saying goes, it’s like a bus. You take the one that gets you closest to where you want to go. Don’t waste time whining about the fact that it’s not a flying taxi cab. Perfect is the enemy of good enough. If you want to defeat Trump and preserve democracy, let’s get to work. If not, get your Nazi ass away from me.
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