I really don’t get the sense that Lemmy is being overwhelmed by users. Things be pretty quite in these here parts. If this kind of volume is bringing down what I thought was one of the main instances, Fediverse seems kind of doomed. I’ve long been worried about scalability. I’ve tried other instances and had issues. Each time I think should I give up or hop instances, make a new account etc. People will flock to the biggest most stable instances, but if they can’t afford fancy hosting, everything starts to crumble
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.
This. I think european and asian should be swapped in this meme. I think its rarer to see asian speak 3 languages than seeing european speak 3 languages
As an asian, this has been my experience as well. Of course there are exceptions, but most asians I know (not just in my country) usually just speak 2 languages.
But which part of Asia are you from? Here in India, schools are required (at least on paper) to teach three languages, so most people are at least trilingual.
Sanskrit is still spoken in some parts of Karnataka state. Also, only some schools run by the federal government teach Sanskrit. Usually it is (1) the official language of the state, (2) English and (3) Hindi. (If Hindi is the official language of the state, then any other Indian language, or a foreigh language, would be offered. For historical reasons most schools in Tamil Nadu state do not offer Hindi, but will have another third language such as French.)
Meh I only speak English and Norwegian. I can (with extreme difficulty) make myself understood in German, but I wouldn’t say I “speak German” . Although anyone who speaks Norwegian can also understand Swedish and Danish (not easily in the case of Danish unless it’s written).
I think it also really depends where you are, which is why generalising entire continents maybe isn’t very useful. Someone from Luxemburg or somewhere in the Netherlands with more recent immigrants is going to be a lot more likely to speak multiple languages than say someone from Russia or more rural France, just as someone from China is more often going to be monolingual compared to someone from India or Singapore
Surely that depends on where in Asia you’re looking at as well? On average, the number of languages people speak is quite different between, say, India and Japan. Or Switzerland vs Romania in Europe.
I think the joke is twofold. First of all, Microsoft pretty much has a monopoly on financial software with their excel, which shows that the entire global finances are in the hands of that crab.
The second joke, must be that they never bother updating the suite to the latest, and solely depend on 2013🤷
For certain values of “works”. I also think the learning curve is part of the issue. You end up doing stuff Excel has no business handling but is there due to the absurd scope-creep.
Not just financial documentation, but everything. Planning staff levels, work assignments, quarterly reports, bonus calculations, pto administration, and more. There’s likely people retiring that wrote an excel macro 20 years ago that still part of a critical business process.
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