This isn't a football problem, it's a "company has way too much power" problem. It's as if Coca-Cola were allowed to tell my water company to turn off my tap water for a few hours because I should be drinking their soda at lunchtime.
this literally happens in mexico, monterrey in 2022 during biggest drought in the century, public supply was shut down while coca-cola keep producing soft drink from that reservoir, they end-up give some percentage back after a protest.
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.
In this case, as bucket content aproaches 0 drops, 1 drop becomes infinitely more, at least in calculus.
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.
You think it's possible for a bucket to contain a negative amount of water?
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.
> You think it's possible for a bucket to contain a negative amount of water?
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.
Quantum physics tells us all particles are waves, so it’s possible that the amount of water will be negative in some point in time, as long as the average value is not negative. ;-)
Are you trying to make a point? The indeterminate forms are statements about limits. Those limits are statements about the possible range of certain operations on infinitesimal and infinite values. It's perfectly valid to multiply those values. And when zero is one of the multiplicands, it's also the product.
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.
You do not appear to have the slightest idea what you're talking about. For example, the extended reals aren't a field.
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.
Its one of the reasons why I am a market based socialist.
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.
> This isn't a football problem, it's a "company has way too much power" problem.
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.
Cloudflare isn't the company with too much power in the above scenario: La Liga is. CF isn't turning off access because they want to, it's because La Liga convinced a court that Cloudflare is promoting "piracy" with the various websites they host (some of which, constituting less than a rounding error of the overall sites they host, may host pirated soccer streams), and convinced a court to have Cloudflare blocked.
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.
That said, Cloudflare absolutely has too much power. Centralizing the internet makes it fragile and maximizes the collateral damage caused by draconian copyright enforcement.
