My high school never had math competitions so I’ll never know how I’d do. :(
My high school never had math competitions so I’ll never know how I’d do. :(
I don’t know man, I’m not a doctor. They just had a Discord already so I assume they wanted one.
Yeah, and a Matrix instance
Absence of evidence is not evidence of absence
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Did they? I think I remember some authors no longer taking payment for them. Maybe some others took theirs down of their own accord. I don’t remember hearing about Google themselves taking anything down
You’ll call a Phillips a Phillips but not a Robertson a Robertson or an Allen an Allen, smh
And trying to get by on a single income is a fucking nightmare for a lot of people.
True but sometimes the tortilla rips open and the foil provides solid backup
The conventional view on infinity would say they’re actually the same size of infinity assuming the 1 and the 100 belong to the same set.
You’re right that one function grows faster but infinity itself is no different regardless of what you multiply them by. The infinities both have same set size and would encompass the same concept of infinity regardless of what they’re multiplied by. The set size of infinity is denoted by the order of aleph (ℵ) it belongs to. If both 1 and 100 are natural numbers then they belong to the set of countable infinity, which is called aleph-zero (ℵ₀). If both 1 and 100 are reals, then the size of their infinities are uncountably infinite, which means they belong to aleph-one (ℵ₁).
That said, you can definitely have different definitions of infinity that are unconventional as long as they fit whatever axioms you come up with. But since most math is grounded in set theory, that’s where this particular convention stems from.
Anyways, given your example it would really depend on whether time was a factor. If the question was “would you rather have 1 • x or 100 • x dollars where x approaches infinity every second?” well the answer is obvious, because we’re describing something that has a growth rate. If the question was “You have infinity dollars. Do you prefer 1 • ∞ or 100 • ∞?” it really wouldn’t matter because you have infinity dollars. They’re the same infinity. In other words you could withdraw as much money as you wanted and always have infinity. They are equally as limitless.
Now I can foresee a counter-argument where maybe you meant 1 • ∞ vs 100 • ∞ to mean that you can only withdraw in ones or hundred dollar bills, but that’s a synthetic constraint you’ve put on it from a banking perspective. You’ve created a new notation and have defined it separately from the conventional meaning of infinity in mathematics. And in reality that is maybe more of a physics question about the amount of dollar bills that can physically exist that is practical, and a philosophical question about the convenience of 1 vs 100 dollar bills, but it has absolutely nothing to do with the size of infinity mathematically. Without an artificial constraint you could just as easily take out your infinite money in denominations of 20, 50, 1000, a million, and still have the same infinite amount of dollars left over.
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Wait I thought Christmas was a month away but we’re already getting presents?
🙏🏻
Chris Jericho has never been happier
It's a feature of a lot of parliamentary systems in general. It's honestly nice to have the shake up when things are at a standstill in parliament, even if the sometimes constant elections are annoying at times. It also helps to have more than just two viable political parties, also.
I worded things exactly as I meant them. They haven't been given a decision that doesn't involve a probably violent uprising, so they would have to make their own opportunity but authoritarians tend not to like that thus the deading oneself part of my comment. I think we agree ultimately.
As far as Palestinian's support for Hamas goes, I find that the whole story is honestly kind of nuanced the more I read. https://theconversation.com/hamas-was-unpopular-in-gaza-before-it-attacked-israel-surveys-showed-gazans-cared-more-about-fighting-poverty-than-armed-resistance-215640
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But, they choose monsters to represent them
Afaik, like over half the population of Palestine wasn't even alive or were children when that decision was made and nobody has been given a decision since, at least not the kind of decision that doesn't involve becoming a martyr and deading yourself in exchange for deading another person.
The more people get into it the less valuable it becomes is the thing. But others pointed out there’s a ton of other reasons it’s problematic, like the need for those other jobs to exist to actually, like, have a functioning society.
Edit: Also arguably a lot of the low hanging fruit coding positions aren’t as lucrative as they once were. People with experience are doing well. New people are having a tougher time getting their foot in the door compared to 5-10 years ago.