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That’s not literally the same thing, it was a protest over them for not “connect wells of their property to the public service supply network.” Which isn’t som
by Retric 2y ago
That’s not literally the same thing, it was a protest over them for not “connect wells of their property to the public service supply network.”
Which isn’t something I’d want random companies to be doing, and a figurative drop in the bucket.
- NewJazz 2y agoOne drop in an empty bucket is infinitely more water.
- Retric 2y ago> One drop in an empty bucket is infinitely more water. No multiply 0 by infinity and you don’t get one drop, ie 1/0 is undefined. Further it wasn’t an empty bucket.
- catlikesshrimp 2y agoIn 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. Source: https://en.m.wikipedia.org/wiki/Division_by_zero https://en.m.wikipedia.org/wiki/Division_by_zero
- Retric 2y agoTends to infinity != infinity. Also, the fundamental theory of calculus requires a continuous function. https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculu...
- thaumasiotes 2y agoYou 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.
- Retric 2y ago> 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.
- rbanffy 2y agoQuantum 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. ;-)
- itishappy 2y agoZero times any number is zero, but infinity is not a number. In order for multiplication to be valid, your elements must share a field.
- thaumasiotes 2y agoAre 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.
- 2y ago
- int_19h 2y agoIt's the same aquifer though, right?
- Retric 2y agoIf the factory had simply shut down without hooking up their infrastructure, the area still would have had the exact same short term issues. The issue was arguably a lack of wells in an extreme situation, not a lack of water in the aquifer.
- pstuart 2y agoAquifers are not infinite in capacity, so it's a valid point.
- Retric 2y agoAgain not what this was about. 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.