No, thanks! I'd instead like a handful of punctuation and proper formatting, for instance:
500 non-gaming PC because your ps5 isn’t a useful alternative 500 ps5 650 ps5 pro 4 years in 720 for PlayStation online basic at 10 per month
With no commas, periods, or maybe a dollar sign before the numbers, if I didn't know you were making a price comparison, it would just seem you're just throwing a bunch of numbers around without making any sense.
I mean, just because you implemented something in a low level lang, it doesn't mean you're gonna have the fastest implementation. Even in high level langs, there's usually heavy optimization involved in things that are done all the time (e.g. web servers)
A vibe programmer that built a palm-sized fusion reactor in a cave over the course of 3 months with a single companion? Perfectly respectable to me. And he probably made his own AI too :)
I've always imagined peak programming as building up from low level languages, putting on some layers of abstraction and automatization written by yourself, and end up writing some trivial commands to produce very interesting outputs... Who knows? Maybe throwing around some holograms and voice-commands asking for nonsense. It doesn't get much more vibey than that.
Programming in vim and emacs does look like that lol.
Factorial is one of the solutions of the recurrence relationship f(x+1) = x * f(x). If one states that f(1) = 1, then it only follows from the recurrence that f(0) = 1 too, and in fact f(x) is undefined for negative integers, as it is with any function that has the property.
It would be more of an exception to say f(0) != 1, since it explicitly denies the rule, and instead would need some special case so that its defined in 0.
Who did ever say that? Not a single article that I've read about Terryology has praised it. I guess the Joe Rogan podcast helped it gather some followers?
Multiplication order in current mathematics standards should happen the other way around when it’s in a non-commutative algebra.
The good thing about multiplication being commutative and associative is that you can think about it either way (e.g. 3x2 can be thought of as "add two three times). The "benefit" of carrying this idea to higher-order operations is that they become left-associative (meaning they can be evaluated from left to right), which is slightly more intuitive. For instance in lambda calculus, a sequence of church numerals n1 n2 ... nK mean nK ^ nK-1 ^ ... ^ n1 in traditional notation.
For example, we can’t write 2ω for the next transfinite ordinal because 2ω is just ω again on account of transfinite and backwards multiplication weirdness, and we have to write ω·2 or ω×2 instead like we’re back at primary school.
I'd say the deeper issue with ordinal arithmetic is that Knuth's up-arrow notation with its recursive definition becomes useless to define ordinals bigger than ε0, because something like ω^(ω^^ω) = ω^ε0^ = ε0. I don't understand the exact notion deeply yet, but I suspect there's some guilt in the fact that hyperoperations are fundamentally right-associative.
c/fuckxavier
Page Up/Page Down gang
No, thanks! I'd instead like a handful of punctuation and proper formatting, for instance:
With no commas, periods, or maybe a dollar sign before the numbers, if I didn't know you were making a price comparison, it would just seem you're just throwing a bunch of numbers around without making any sense.
I just imagined the set of countable ordinals, and there's a universe where I'm right
Reading this gave me a headache
So old school of you to play 1.5 instead of 1.6
Freeman's mind is youtube gold. I can't play half-life without imagining gordon being a sociopath asshole.
I mean, just because you implemented something in a low level lang, it doesn't mean you're gonna have the fastest implementation. Even in high level langs, there's usually heavy optimization involved in things that are done all the time (e.g. web servers)
NTA. Your PS4, your rules.
A vibe programmer that built a palm-sized fusion reactor in a cave over the course of 3 months with a single companion? Perfectly respectable to me. And he probably made his own AI too :)
I've always imagined peak programming as building up from low level languages, putting on some layers of abstraction and automatization written by yourself, and end up writing some trivial commands to produce very interesting outputs... Who knows? Maybe throwing around some holograms and voice-commands asking for nonsense. It doesn't get much more vibey than that.
Programming in vim and emacs does look like that lol.
It gets deeper. It's also the same as the 0-k-vector, the 0-k-blade, the 0-multivector, the only number that is its own square besides 1, etc...
0! = 1 isn't an exception.
Factorial is one of the solutions of the recurrence relationship f(x+1) = x * f(x). If one states that f(1) = 1, then it only follows from the recurrence that f(0) = 1 too, and in fact f(x) is undefined for negative integers, as it is with any function that has the property.
It would be more of an exception to say f(0) != 1, since it explicitly denies the rule, and instead would need some special case so that its defined in 0.
Who did ever say that? Not a single article that I've read about Terryology has praised it. I guess the Joe Rogan podcast helped it gather some followers?
The good thing about multiplication being commutative and associative is that you can think about it either way (e.g. 3x2 can be thought of as "add two three times). The "benefit" of carrying this idea to higher-order operations is that they become left-associative (meaning they can be evaluated from left to right), which is slightly more intuitive. For instance in lambda calculus, a sequence of church numerals n
1n2... nKmean nK^ nK-1^ ... ^ n1in traditional notation.I'd say the deeper issue with ordinal arithmetic is that Knuth's up-arrow notation with its recursive definition becomes useless to define ordinals bigger than ε
0, because something like ω^(ω^^ω) = ω^ε0^ = ε0. I don't understand the exact notion deeply yet, but I suspect there's some guilt in the fact that hyperoperations are fundamentally right-associative.They are still real numbers. Specifically uncomputable, normal numbers. Which means their rational expansion contain every natural number.
Zero is the absence of a quantity, but it is still a number.
Can't you tell it's satire? They also said java is javascript
My mistake, in that case it's not the closure what I mean. But then how are those kinds of sets called?