I enforce ISO 8601 for the shared storage in my office. Before I got there, files were kinda stored in all kinds of formats, but mostly month first.
I tell the person under me she can store her files in her user any way she wants, but if it goes into shared storage, it’s ISO 8601. I even have a folder in there called !Date format: YYYY-MM-DD Description to help anyone else remember.
I’m a systems guy. ISO8601 or die. Whomever decided to put the most significant digits at the end of MMDDYYYY can get fired. From a cannon. Into the sun.
Understandable, but the keystrokes are helpful for human readable. I always have the “Suspicions Fry eyes” when I want to read 20230809 in a lot of files.
The meme works better if it’s 1 instead of 2. 1 is mostly not considered a prime number because a bunch of theorems like the fundamental theorem of arithmetic would have to be reworked to say “prime numbers greater than 1.” However, just because 1 is not a prime number doesn’t mean it’s a composite number, so 1 is a number that is neither prime nor composite.
2 is a prime number, but shit ton of theorems only apply to odd prime numbers, and a lot of other theorems treat 2 as a special separate case, because it behaves weirdly.
I refuse to believe anyone does this. I think the inconsistency comes down to how people speak. "The meeting will be held on the 10th of January 2023" = 10/01/2023 but "January 10, 2023" = 01/10/2023.
I don't know how you would have to torture your brain for it to feel at home with YYYY-DD-MM.
Sadly no. (You can prolly create drop down menu in a hacky way by creating some script that would launch a drop down looking menu and have your wm’s window rules display it under the module when clicked)
Btw waybar supports tooltips(hover text thingy) but its wayland only
2 may be the only even prime - that is it’s the only prime divisible by 2 - but 3 is the only prime divisible by 3 and 5 is the only prime divisible by 5, so I fail to see how this is unique.
Exactly, “even” litterally means divisible by 2. We could easily come up with a term for divisible by 3 or 5. Maybe there even is one. So yeah 2 is nothing special.
Commonly primes are defined as natural numbers greater than 1 that have only trivial divisors. Your definition kinda works, but 1 can be infinitely many prime factors since every number has 1^n with n ∈ ℕ as a prime factor. And your definition is kinda misleading when generalising primes.
Isn’t 1^n just 1? As in not a new number. I’d argue that 11==11*1. They’re not some subtly different ones. I agree that the concept of primes only becomes useful for natural numbers >1.
How is my definition misleading?
It is no new number, though you can add infinitely many ones to the prime factorisation if you want to. In general we don’t append 1 to the prime factorisation because it is trivial.
In commutative Algebra, a unitary commutative ring can have multiple units (in the multiplicative group of the reals only 1 is a unit, x*1=x, in this ring you have several “ones”). There are elemrnts in these rings which we call prime, because their prime factorisation only contains trivial prime factors, but of course all units of said ring are prime factors. Hence it is a bit quirky to define ordinary primes they way you did, it is not about the amount of prime factors, it is about their properties.
Edit: also important to know: (ℝ,×), the multiplicative goup of the reals, is a commutative, unitary ring, which happens to have only one unit, so our ordinary primes are a special case of the general prime elements.
1 is not a prime number because it is a unit and hence by definition excluded from being a prime.
You probably don’t mean units but identity elements:
A unit is an element that has a multiplicative inverse
An identity element is an element 1 such that 1x =x1 = x for all x in your ring
There are more units in R than just 1, take for example -1(unless your ring has characteristic 2 in which case thi argument not always works; however for the case of real numbers this is not relevant). But there is always just one identity element, so there is at most one “1” in any ring. Indeed suppose you have two identities e,f. Then e = ef = f because e,f both are identities.
The property “their prime factorisaton only contains trivial prime factors” is a circular definition as this requires knowledge about “being prime”. A prime (in Z) is normally defined as an irreducible element, i.e. p is a prime number if p=ab implies that either a or b is a unit (which is exactly the property of only having the factors 1 and p itself (up to a unit)).
(R,×) is not a ring (at least not in a way I am aware of) and not even a group (unless you exclude 0).
What are those “general prime elements”? Do you mean prime elements in a ring (or irreducible elements?)? Or something completely different?
You’re mostly right, i misremembered some stuff. My phone keyboard or my client were not capable of adding a small + to the R. With general prime elements I meant prime elements in a ring. But regarding 3.: Not all reducible elements are prime nor vice versa.
I’m honestly not 100% sure, but I don’t think so. Waybar does though, with the tooltip option.
Waybar is similar to Polybar, but only works on Wayland rather than X11. Configuration is a bit different, but similar in many respects. If you’re using i3 with Polybar now, you can install Sway as the window manager and drop your i3 config into ~/.config/sway/, it should work exactly the same as i3 after a few minor tweaks. Once Sway is set up, you can install and configure Waybar. The config file is not a drop-in replacement like Sway was for i3, but if you can figure out Polybar, you can figure out Waybar.
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