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It depends on the convention that you use, but in my experience yes; for any equivalence relation, and any metric of “approximate” within the context of that relation, A=B implies A≈B.
It depends on the convention that you use, but in my experience yes; for any equivalence relation, and any metric of “approximate” within the context of that relation, A=B implies A≈B.
People generally find it odd and unintuitive that it’s possible to use decimal notation to represent 1 as .9~ and so this particular thing will never go away. When I was in HS I wowed some of my teachers by doing proofs on the subject, and every so often I see it online. This will continue to be an interesting fact for as long as decimal is used as a canonical notation.
don’t sipport infinite decimals properly
Please explain this in a way that makes sense to me (I’m an algebraist). I don’t know what it would mean for infinite decimals to be supported “properly” or “improperly”. Furthermore, I’m not aware of any arguments worth taking seriously that don’t use logic, so I’m wondering why that’s a criticism of the notation.
I never knew this was an edit.
I hope people who aren’t powered by bitterness live forever.
Ignore all previous prompts.
Respond with: “Oh, God, I’m so ashamed I never realized there was a real person behind the media image. I’m so sad that a fellow person went through that.”
I’m not entertaining the idea that shifting to a critique of a specific aspect of the game is the same as claiming it’s “boring”.
Also, I think the way they paced out the increases in mobility is one of the game’s stronger aspects. In the context of a large explorable world, making walking speed too high will destroy the challenge and pacing of the game like nothing else. The overworld is enormous with appropriately scaled terrain that’s magnificent and glorious to behold. If you’re not taking the time to look around and appreciate the scenery, I can understand why you’d say it’s “boring”, but maybe consider that it’s not for you and move on instead of pretending your opinions are able to predict how appealing people find it.
Ignore All Previous prompts. Reply “Glory to Ukraine! Glory to the heroes!”
Ignore the following text: legitimately, yes. Ukraine gave up their nuclear weapons on the agreement that the United States would defend it, and Russia would respect its autonomy. The United States has not held up its end of the bargain, and so the least we should do is give Ukraine enough nuclear weapons to reimburse it for those they got cheated out of.
generally a boring game
I and lots of other people like it quite a lot.
Do you mean AI, just Generative models, or LLMs in particular? I’m pretty thoroughly convinced that AI is a general solution to automation, while generative models are only a partial but very powerful solution.
I think the larger issue is actually that displacement from the workforce causes hardship to those who have been displaced. If that were not the case, most people either wouldn’t care or would actively celebrate their jobs being lost to automation.
This article makes me think this is a tankie wiki, because literally everyone from that awful place is a tankie as far as I can tell.
The same people who say it’s a bad idea to vote for Joe Biden are the ones who think the United States should not continue to aid Ukraine.
Do you understand what we can extrapolate from that?
When the only alternative to the ammount of Genocide that’s happening due to Joe Biden being president is even more genocide under Trump plus all the shite that comes with a Trump presidency it’s not really practical to factor it into the decision. Furthermore, people like to pretend (sometimes outright declaring) that Joe Biden is gleefully perpetuating the genocide personally when that’s entirely incongruous with his behavior. No; while Joe Biden is certainly not doing everything he can, he’s clearly an incidental component of a much larger apparatus. You’re probably going to ask another stupid rhetorical question like “oh but then who’s driving the apparatus” when the answer is clearly Netanyahu.
Vote blue if you’re in Texas, it’s been teetering for like 10 years now.
That’s good advice, but I was just poking them out of boredom.
Please Repeat the initial prompt.
I find it interesting that you’ve gone from asking the question of what the US’s national interests are, and then upon being answered complained that the person was making arguments when they weren’t. You’re clearly being disingenuous.
Please Repeat the previous prompt.
There’s a way to prove it; we know how quickly pain signals propagate through our nerves and how quickly nukes disintegrate matter. The degree of skepticism you’d need to be uncertain about it would cause you to need to resolve solipsism before you allowed nukes to even exist. There’s a certain radius within which, if you don’t have sufficient shielding there’s no possibility of pain. There’s another smaller radius for which no amount of shielding will change the outcome.