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Joined 2 years ago
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Cake day: July 2nd, 2023

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  • I guess n would be infinite in the limit I’m looking for. I’m looking at this in like a “musing about theoretical complexity” angle rather than actually needing to use or know how to use pi on modern systems.

    For the record, I realize how incredibly pedantic I’m being about the difference between the irrational pi and rational approximations of pi that end up being actually useful. That being said, computational complexity has enough math formalism stink on it that pedantry seems encouraged






  • That’s because your engineering ass needs things to be physical and sane. Physics is a field for the mentally unwell to sink further into insanity while incoherently scribbling greek letters on every available flat surface.

    On a more serious note, yeah you absolutely have to be careful about where you apply really ambitious simplifications like that. There are plenty of mathematical regimes where you can use natural units (this is the term to look up if your interest extends further) and simplify your reference frame by a hell of a lot though. Setting the speed of light to 1 is also a hell of a drug, and brother I’ve got an addiction




  • Somebody else already said it, but that’s what the title is.

    Longform: a lot of calculations that happen in astro deal with distances so large so large that only order of magnitude changes actually meaningfully affect the end result. To connect to a more common topic, here’s a joke.

    “Whats the difference between a million dollars and a billion dollars?”

    “About a billion dollars”

    This joke works for the same reason; 1 billion is so many orders of magnitude larger than 1 million that (1,000,000,000 - 1,000,000 = 1,000,000,000) is only incorrect by ~0.1%, even though substituting 0 for 1 million in that equation seems ridiculous on the face of it. Substituting 1 for pi has similarly minimal errors (tbh it usually matters waaaaaaaaay less than .1% error) in a lot of astro math






  • My brothers wife. Started a conversation with me one day like “you know, my 2yo stepbrother has autism, and you don’t act anything like him. I don’t think you really have autism.” I’m sure our difference in behaviour is because I don’t have autism, not the fact that I’m literal decades older than him




  • The only way I can handle it is by treating myself as two people. The adult in me that grew up and the obstinate 17yrold in a frayed dead kennedys shirt with general disdain for any and all forms of authority. I bribe him with some kind of reward and if he says no or tries to get around it I get to take control and win in our battle of wills. I have to keep the shithead happy enough that he doesn’t riot and burn the place down, but ultimately the adult runs the show. Treating my bad habits as a separate person who is my rival works well for me. It is kinda funny that I’m essentially "bread and circus"ing myself