Like, we're impacting communications now.
Like, we're impacting communications now.
They were given those powers in court over Cloudflare via the Spanish government, with some help via a pressure campaign by US gov to protect US copyright globally.
Which isn’t something I’d want random companies to be doing, and a figurative drop in the bucket.
No multiply 0 by infinity and you don’t get one drop, ie 1/0 is undefined.
Further it wasn’t an empty bucket.
Limits in calculus: "When a real function can be expressed as a fraction whose denominator tends to zero, the output of the function becomes arbitrarily large, and is said to "tend to infinity" For example, the reciprocal function, f ( x ) = 1/x tends to infinity as x tends to 0.
https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculu...
I should note that the product of zero and infinity being an indeterminate form is actually a result about the product of an infinitesimal (of small but indefinite magnitude) and an infinite value. If when you say "zero", you actually mean "zero", there is no ambiguity: zero is more infinitesimal than any infinite value is infinite, and the product of zero with anything, including an infinitely large value, is zero.
Irrelevant, the discontinuity occurs at 0 not a negative number.
The limit of f(X) = (X-2)/(X-2) as X approaches 2 is 1, that doesn’t mean the function has a defined value at 2. Limits seem easy because most students really don’t understand limits and thus misuse them.
You might want to think about why two times infinity is not an indeterminate form.
If you extend your field to include infinity (e.g. the extended reals, or the extended positive reals), only then is it valid to multiply by infinity. One of the rules in such a system is that when infinity is one of the multiplicands, it's also the product. This gives us conflicting results for zero times infinity, therefore 0*∞ is an indeterminate form.
But it's easy to extend the real numbers to a field that includes infinite and infinitesimal values. Limiting is then a projection from the hyperreals, which are a field, to the extended reals, which aren't. Instead of "lim", let's call this projection "f".
0·∞ is an indeterminate form because f(f⁻¹(0) · f⁻¹(∞)) is not well defined. f is a many-to-one function, and in this case the different possibilities that come up as we invert it interact differently. In contrast, 2·∞ is not an indeterminate form because, while f⁻¹(2) · f⁻¹(∞) might be any value that is greater than all real numbers, it must always be greater than all real numbers, and therefore f(f⁻¹(2) · f⁻¹(∞)) is always ∞.
> One of the rules in such a system is that when infinity is one of the multiplicands, it's also the product.
In the extended reals, this is a result, not a rule, and it doesn't always hold. Again, the extended reals aren't a field. But even ignoring the question we're actively discussing, you should have been able to think of e.g. -3 · ∞.
That's assuming that when you said "such a system", you meant the extended reals. If you meant a field that extends the reals to include infinite values, it's just meaningless noise - there is no value called "infinity" that would even let you evaluate the claim true or false. But in any multiplication of two values, any infinite value can only simultaneously be the product and one of the multiplicands if the other multiplicand is 1. When we say that 2·∞ = ∞, the ∞ on the left and the one on the right are both infinitely large, but they aren't the same value.
Fair enough. You're right, of course, and you've learned me a thing. Appreciate your time.
The issue was arguably a lack of wells in an extreme situation, not a lack of water in the aquifer.
If the area can’t support the factories water use then shut down the factory permanently. Wanting to hook up to its infrastructure is all about a lack of public infrastructure.
Many aquifers are over used, but that’s a long term problem and has nothing to do with a drought in a single year.
Let The Market™ decide on access to drinking water:
The essentials of living should be state owned, and provided as inexpensively or freely as part of being here. And when that doesn't completely work, significant controls be put in place to prevent undue capitalization/financial ideation.
The next tier should be a middle ground of intermediate importance, that companies can fulfill, but with modest controls to allow suitable profit and growth.
The final tier is the new and not-required level. This is the new stuff, the crazy tech. Low/no laws, let everyone in this realm go crazy and experiment. The skies the limit.
But water? This is beyond the pale. And revolutions have gone on for this before.
> the parastatal Water and Drainage Services of Monterrey
Isn't that already the state owning the water supply?
Because there's a lot of money at stake surrounding soccer in Europe.
Because they pay the lawmakers to give them this power.
This isn't limited to just one company. The problem is how copyright has been abused and over-prioritized until it's become a threat to people's freedoms, to art, and to progress.
Copyright needs to be reined in so that no matter what the company is or what product they're pushing innocent people won't be negatively impacted just so that the industry can squeeze more profit from people while refusing to adapt.
Can you give some examples so we can see what harmless political satire you have in mind?
Issue here being the fact that insulting someone is a criminial offense (hope that's the correct english terminology) in Germany.
https://theweek.com/news/world-news/954635/willygate-german-...
e:/ Whether this is actual satire or not is up for debate i guess, but this was in my opinion way overblown
Sure, it's something like that, but it's more like "thou beest such a willy". ;D
We almost had this in the early 2000s, but then we regressed. People were excited about meshnets, when was the last time someone mentioned those? Too many people have forgotten and now many have been raised in this current form of the Internet thinking it's the only way. We need to think bigger. We need to push for IPv6 and basic internet connectivity (meaning ability to connect to any peer in the world) as a human right. Otherwise we build our lives around something that can be taken away on a whim over something as silly as grown men kicking a bladder around a field.
You'll get up to 10 million investment from whatever bank + state arrangement no problem. But when you want to scale up you're fucked if it requires money. So no "let's get 1 billion users and then think about milking them" way to do business, you have to be profitable a lot earlier. And you better not require too much R&D.
So it's a "this is why we can't have nice things" more than anything else. The assholes always ruin things in the end. So instead of some idealistic dream of a world, we get this shithole dystopian reality.
but football teams often have political connections and thus easy access to do such things
When a soccer team wins they don't get to ascend to power and leverage the state against their enemies.
It's much rarer for a DA to say they want to find crimes a particular person committed and then direct others to go find evidence for whatever they can find evidence for.
I mean, FIFA is corrupt as hell and there's been plenty of documented cases of other social ills caused by European soccer fandom, but okay.