There's plenty of middle ground between an unchanging SQL schema and the implicit schemas of "schemaless" databases. You can have completely fluid schemas with the full power of relational algebra (e.g. untyped datalog). You shouldn't be using NoSQL just because you want to easily change schemas.
Echoing the efficiency. I just returned from a 1mo trip living out of the 45L, including a supply of dead-tree books.
That said, I've only had it a year and it's clearly not new anymore. Paint wear on the rivets, for example. I expect it'll be in rough shape when it's accumulated as many miles as the travel bag it's partially replacing.
The argument is that a universal basis would be capable of solving arbitrary polynomial roots. The rest is an argument that the group constructed by eml is solveable, and hence not all the standard elementary functions.
It wouldn't be a math discussion without people using at least two wildly different definitions.
AllTrails couldn't find "Shanghai", but my subscription lapsed years ago. Gaia is what I use on the ground but it's about where you are, not about where the trail is.....but I'm finding one of the ancient roads. A bit of a mess but it looks viable.
GPS works properly in China, it's just the maps are a lie. If someone made a .gpx of a trail someone else could use it. The line is pointy and a bit disjoint so I suspect someone uploaded points to Open Street Map.
My interpretation was that they were saying Flock were criminals who should be sent away for good. I don't know if that's right but it would be consistent that way.
Not never releasing convicted criminals, but 1) not letting any crime go without at least 1 day in jail 2) doubling the penalty on each successive offense would incapacitate a huge number of serial offenders
They're not series, that's just a convenient way to think about defining and calculating them. I've never found it particularly useful to deal with the series definitions either, and none of the (good) approximation methods I'm aware of actually take that approach.
Moreover, EML is complete in a way that your suggested function isn't: If you take a finite combination of basis functions, can it build periodic functions? Hardy proved over a century ago that real (+,-,/,*,exp,ln) can't do this (and answering the paper's unresolved question about similar real-valued functions in the negative). EML being able to build periodic functions is a lot less surprising for obvious reasons, but still pretty neat.
A similar function operating on the real domain for powers and logs of 2 would be extremely hardware friendly. You can build it directly out of the floating point format. First K significand bits index a LUT. Do that for each argument and subtract them.
It gets a bit more difficult for the complex domain because you need rotation.
You already have an FPU that approximates exp() and ln() really fast, because float<->integer conversions approximate the power 2 functions respectively. Doing it accurately runs face-first into the tablemaker's dilemma, but you could do this with just 2 conversions, 2 FMAs (for power adjustments), and a subtraction per. A lot of cases would be even faster. Whether that's worth it will be situational.
Anything discussing fast inverse sqrt will go over the logarithmic side [0], as it's the key insight behind that code. Exp is just the other direction. It's not widely documented in text otherwise, to my knowledge.
Even if that wasn't the case, having popular media isn't bad. It's a gateway to the rarefied, less accessible parts of the medium that everyone goes through. No one starts out watching arthouse, reading Kierkegaard, or programming in untyped lambda calculus.
It was written in 1883, as part of fundraising for the pedestal. It might not reflect precisely the "original intent" of the statue, but it's very much in line with all of the other context.
The statute of liberty was from a french admirer of the constitution and abolitionist. It was conceived at a time when Napoleon III had declared himself emperor. The connection to immigration was a completely unrelated glomming-on.
Death of the author. People sailed under the statue to get to Ellis island, it's not a difficult connection to make. The location was known when the poem was presented in 1883, 2 years before the statue arrived in the US and the author volunteered for one of the numerous aid organizations helping jewish immigrants.
The fact that people used it after the fact for marketing an unrelated issue doesn’t have anything to do with the original intent of the statue. There was a lot of ret-conning American history in the late 19th to early 20th century as a result of mass immigration.
Things can come to mean something different from what their funders intend.
It happens all the time, especially with art, language and especially public monuments.
The Statue of Liberty’s connection to Ellis island is undeniable. The national museum of immigration is part of the same monument and run by the same staff.
It’s not ret-conning to say that the Statue of Liberty is indelibly linked - physically and symbolically - to mass migration of working and lower class people. It was the busiest port of entry for more than 60 years, and more than 20 million people entered there. There are uncountable contemporaneous accounts of immigrants viewing their passing the statue as a marker of the end of the voyage, and the beginning of their life in America.
One French guy funded it for one reason. 20 million others saw it as a symbol for something different in their lives.
The full title of the statue is “La Liberté éclairant le monde”—it’s impossible not to see it as a symbol of the ideals of the Enlightenment spreading across the world. That’s the common philosophical ground of both American and French Revolutions, and from there the source of the friendship that the statue represents.
At least some minimal notion of hospitality with respect to migration is part of that Enlightenment. (Kant’s Perpetual Peace is emphatic about this; Derrida annotates the relevant section with fresh eyes in Hospitality vol. 1, the first lecture and ff.)
That said, I also agree with you that symbols are not fully formed at birth and it is not the case that what they represent never changes at all in the course of their history.
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