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Chinjut
searching PlanetScale…
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84 ms
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901.
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by
Chinjut
12y ago
I'm not sure, but perhaps the reference is to comments on Hacker News in general, rather than on this page in particular?
902.
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by
Chinjut
12y ago
The (grandparent post's) claim was only for powers of 2; i.e., 1, 10, 100, 1000, etc., in binary.
903.
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by
Chinjut
12y ago
The condition a + b > 0 is neither necessary nor sufficient; rather, the precise condition you need is that b != k * a, where k = (1 - sqrt(5))/2. But, yes, Carmack's Fibonacci sequence gone awry would still (if continued witho
904.
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by
Chinjut
12y ago
It's not clear that Carmack's purpose in using the Fibonacci series was to take successive ratios to approximate "the golden ratio" (if it was the golden ratio he cared about, he could just as well have directly calculat
905.
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by
Chinjut
12y ago
What's the relevance of these ratios to Carmack's purpose in extrapolating the series? At any rate, the limiting ratio of successive terms in the altered Fibonacci series 21,54,75,129,204,..., is the same as for the ordinary Fibon
906.
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by
Chinjut
12y ago
But a function could just as well have multiple attracting fixed points (consider the cube root function, with attracting fixed points at both +1 and -1). Instead, we can look at it like this: If f is a continuous, order-preserving function
907.
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by
Chinjut
12y ago
The UK is a relatively minor economic power? I mean, yes, it's far from top dog, but it's the sixth largest economy in the world (by GDP). It's not as though the only countries worth paying attention to are the U.S., China, J
908.
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by
Chinjut
12y ago
You oughtn't feel guilty about finding your situation stifling and soul-crushing. (If that's horribly millenial, well, perhaps millenials have managed to see the matter clearly. Every insight starts in some generation.)
909.
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by
Chinjut
12y ago
It seems to me that the one-trick pony nature of the gaming business is more reason to take a big payout upfront. $2bn is fuck you money for the rest of your life. Who knows if the Minecraft IP will even be worth anything a few years from n
910.
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by
Chinjut
12y ago
What does it have to do with?
911.
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by
Chinjut
12y ago
It's perfectly possible for it to be a Remarkable Theorem which does not actually explain what is going on with the way people hold slices of pizza. And this can be true even if people are fond of saying it does provide such an explana
912.
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by
Chinjut
12y ago
In this context, the comma is as good as &.
913.
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by
Chinjut
12y ago
It sounds like the TI-89 vastly improved your ability to do calculus, to the point where it would be a shock to give up that improvement in ability. I would also say sine tables vastly improved people's ability to do trigonometry, back
914.
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by
Chinjut
12y ago
Apart from having real buttons, I don't see how that doesn't apply to people's phones just as well. Nonetheless, I agree that the TI-89 is a great product. It's also a 16 years old piece of electronics; there's no g
915.
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by
Chinjut
12y ago
I, for one, endorse calculators wholeheartedly. I loved my TI-89, and I truly believe the opportunity to play around with it played a large role in my becoming a mathematician, of the sort which the "Calculators ruin math education!&qu
916.
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by
Chinjut
12y ago
As I recall, even among TI graphing calculators, the TI-89 et al were vastly better, with their functionality for symbolic computation. Of course, nowadays, we all carry around vastly more powerful computers than any of these in our pockets
917.
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by
Chinjut
12y ago
Ah, and just to be explicit, I apologize for having taken that snarky tone earlier. It was completely uncalled for.
918.
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by
Chinjut
12y ago
Alright, I phrased this snarkily, but let me expand on it: Who do you tax? As you said, the tax contributions funding this cannot come from those making the minimum; accordingly, they must come from those making more than the minimum. Just
919.
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by
Chinjut
12y ago
There you go, you've almost got it. You're doing great, just complete that thought...
920.
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by
Chinjut
12y ago
I'm going to demand a cite for the claim that only about 15% of the U.S. is literate. I'll also note that there's a distinction to be kept in mind between literacy (mastery of the artificial skill of using the written word) a
921.
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by
Chinjut
12y ago
Presumably, the reference is to Goedel's second incompleteness theorem, rather than the first incompleteness theorem. (One might still quibble with phrasing it in this way, of course)
922.
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by
Chinjut
12y ago
It seems to me a sum should be at least as large as each of its summands (or rather, it once did). The world paid no heed, and life trudged on. I don't see a need to pick one particular archetypal trait or another and say the word &quo
923.
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Chinjut
12y ago
By "count of two sets", I don't mean to invoke set theory in any imposing, modern sense. Just the observation that, historically, we were adding counting numbers (in particular, non-negative ones with such properties as "
924.
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Chinjut
12y ago
"Google's self-driving cars are programmed to exceed speed limits by up to 10mph (16km/h), according to the project's lead software engineer. Dmitri Dolgov told Reuters that when surrounding vehicles were breaking the sp
925.
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by
Chinjut
12y ago
Perhaps. Would you also say "Maybe it's better to keep the term 'sum' for combining the count of two sets, and to let the generalizations that aren't that (e.g., adding integers, adding vectors, adding polynomials,
926.
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by
Chinjut
12y ago
If you like, think of this as first turning a number into the unique monic polynomial with negated prime roots whose value at 0 is that number, then taking the derivative of that polynomial at 0. ...Not that there's any particular reas
927.
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Chinjut
12y ago
Those graphs aren't in any conflict; of course if the proportion of workers in one industry goes down, the proportion of workers employed in some other industry must go up, mathematically (the BLS graph being percentage of the total wo
928.
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by
Chinjut
12y ago
Alright, I'd like to. Do you know where I can find statistics on wages and working hours over history (in particular, I'm curious not just about 100 years ago, but also 200, 300, and 400 years ago, to get a fuller sense of the imp
929.
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Chinjut
12y ago
Hm... I tried submitting this once and was taken to a thread where it was already being discussed. I lost the thread, and resubmitted hoping to be taken to it again, but... it went through. Perhaps I misunderstand how the dupe-filtering on
930.
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“Humans Need Not Apply”
(youtube.com)
2 points
by
Chinjut
12y ago
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