Do said atomic instructions produce pi though, or some functional approximation of pi? I absolutely buy that approximate pi is O(1), but it still seems like a problem involving a true irrational number should be undecidable on any real turing machine
Is it actually? I'll admit im pretty rusty on time complexity, but naively I'd think that pi being irrational would technically make even reading or writing it from memory an undecidable problem
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
I used to have an old man cat that was like that. He wanted to sniff everything that came in the house; not super urgently but he was always interested. It got hard for him to walk eventually and my girlfriend would always poke fun at me for carrying him around and holding him up to each new thing so he could investigate. He seemed happy about it though, he never stopped being interested in investigating
The most important thing I've ever been told about quantum is "shut up and calculate." Results don't seem physical? That's quantum. Results don't make sense? That's quantum. Shut up and calculate
Christian scientists on their way to tell you about how their evidence free belief in magic shouldn't affect how you view their ability to derive truth from evidence
I'm sure this is real and that guy is super talented, but I'd love to see a video of somebody who couldn't do this but still had confidence because they thought the video would be edited so the bread didn't all fall to the ground
I live this advice. I have enough 3qt mixing bowls to count as tableware, and I serve salad exclusively in them. Never again will anybody eating at my home suffer the indignity of gently folding over the top layer of their salad instead of tossing it to avoid flinging carrot bits across the room
Depends on how much of a purist you are about the definition of parrying. I'd say the gameplay loop of missile command is basically a parry/counter mechanic
You sound like an involved and caring father. Rock on, dude