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Yes, but the argument is that the seller is under no obligation to sell you the stick of RAM originally that will incur the debt if you offer cash instead of Zelle. If you did manage to receive the stick of RAM without paying for it during the initial exchange and so still owe the $100, then yes, the seller is required to accept cash to settle that debt.

The argument in the article isn’t about whether big O notation is useful it’s about whether the n in any particular big O is relevant. In this case the algorithm’s claim is that you can multiply arbitrarily large numbers faster than n log n where n is the size of the numbers being multiplied. But that result holds only if you don’t include the cost to multiple arbitrarily large complex numbers in that n, which are assumed to be able to multiply in constant time.


> In this case the algorithm’s claim is that you can multiply arbitrarily large numbers faster than n log n where n is the size of the numbers being multiplied. But that result holds only if you don’t include the cost to multiple arbitrarily large complex numbers in that n, which are assumed to be able to multiply in constant time.

Well that's certainly not the claim. Think about it, that would mean the whole thing is trivially O(1), so why would they be bothering with the rest?

You've missed part in the analysis, or I believe added an assumption they're not making (the constant-time-multiply one, specifically).

This all _is_ almost certainly impractical, but it's for the usual reason of it only being faster for numbers nobody could ever care about. It's theoretically _quite_ interesting though, because hey...what _is_ the fastest you can actually multiply numbers if it's not O(n lg n) as many ~assumed.


The complex FFT is a generalization of the n-bit integer multiplication algorithm, not the other way around. No complex-number operations are required for the integer case.


Well the peanut butter I get from the store is just peanuts and salt and there is plenty of brands available. It does have to be stirred because it separates. But yes the Jiffy and Skippy that most people refer to as peanut butter is really just peanut flavored palm oil.


I think you mean peanuts, salt, and oil, because otherwise there's nothing to separate. The oil is already usually going to leave it something as either high or ultra high processing.


Peanuts contain plenty of oil.

Peanut oil is commonly used for all kinds of frying. It's hilarious that you're trying to lecture people without knowing this basic fact.


The oil is released by the peanuts when you roast and blend them.


I don’t think you are aware of the history of math. It had nothing to do with leisure. It was all invented in the interest of commerce and military applications. This whole thread is aspirational thinking. The NSF was a poor recreation by Vanevar Bush to attempt to achieve some of the scientific breakthroughs driven by WW II. Neccessitu is the mother of invention has been proven over and over. People have these hopes that giving everyone leisure will result in all sorts of great science and art but it’s not backed up by any prior experience in human history.


No a lot of it was leisure. Euclid was all leisure. Entire math departments are all leisure based as they don’t do anything practical for society. Newtons invention of calculus. Complete leisure.


Ha. I feel like you have never worked for a large company if you think they are making rational decision at all. They may “believe” this will make them money, but there is no guarantee that this isn’t just costing them money hand over fist.


Belief and stakeholder buy-in is all that it takes for that data to be collected, no?


William Cleveland is who you are looking for. He actually did studies like you are looking for on the display of information and its relation to psychological perception. His work is authoritative and predates Tufte significantly. I’m not sure why anyone pays attention to Tufte at all except that he is good at marketing himself. He is kind of the antithesis of quantitative information in that sense. All style and no substance.


Any book recommendation from William Cleveland on the subject?


You misunderstood. The discussion was not about income qualifications for a loan but about collateral.


Is it really more expensive to not connect a water treatment plant to the internet? I can imagine the vendor selling that idea but I struggle to come up with how that could make a water treatment plant cheaper to operate.


Yes. Without a remote system you must have a real person check levels, pumps, pressures, and many other devices thus be present. This person must be trained and you will likely need a backup as well.

If not a person you need more redundancies built in. Bigger tanks, multiple backup systems. When items start failing you need them to be shutoff in a timely manner. Water pumps at these facilities are in the 50-100k range. When it starts failing you want to know.

Think of it like driving a car and it starts making funny noises. The longer you wait to fix it the more it costs.


Why that drastic, checking system state (telemetry) can be done using 'data diode' style networking - one network just broadcasting sensor data, other network allows changing parameters and 3rd one allows allows software upgrades and so on.

You can be very defensive and design any remote sensing controller to act as two systems - one management cpu only does data routing (no other connection than administrative tasks), sensor cpu works only with sensors. As bonus you can have management cpu act as active firewall.

Main problem it is necessary to have in house expertise (hw, fw and process knowing) which in making company lean are optimized first and outsourcing custom solutions suddenly too expensive.


Or you can just slap a lot of Windows XP boxes with closed source control software and remote access software and let the central team do it. Which will be a bit cheaper


Surely it isn't impossible to devise one-way data flows that provably work for remote sensing? And yeah then you have to send somebody to fix stuff if something is off..

Like something that would work but not not scale would be one computer writing data to an updating qr code and another reading it. Surely something like that can be made (and probably already exists?) on the cable level?


Just go dumber

Set up a monitor with the data values you need to monitor

Point a camera at that monitor.

Camera feed is remote accessible. Control software is not.

Want alarming? There's systems designed specifically to send texts or make phone calls when signaled electronically.


This smells wrong to me. You already have people working at the water treatment plant. You don’t need it connected to the internet?


Most water treatment works are unmanned most of the time. You don't need 24/7 staffing or even close.

But more to the point, a modern water network has a huge number of nodes. If you can't centrally aggregate and control in a control room the costs and complexity explode, probably also the error rate.

Even if you demand a full air gap, the solution here can't be to get rid of computers or networks. They are much, much too valuable. Luckily industrial control is full of very low hanging fruits.


There is lots of infrastructure related to water that doesn't have someone physically there 24/7 as it would not be feasible to do so as 99.9% of the time there is nothing to do. So you need some sort of remote alarm system that can be monitored.


at least disconnect the poison valve


The expense usually comes in operations. By connecting the water treatment plant to the Internet and making it remotely operable, you can have one guy who sits in an office and is responsible for overseeing the water quality at many different treatment plants. If everything is local, you need one guy on site at each different plant. People are expensive, software is cheap.

Of course, by making it remotely operable, that one guy could be replaced with a guy in Russia who's job is to poison everyone.


Yes it sounds like people came in at high risk of suicide and then they gave them an app that surveyed them and would predict they were going to commit suicide. Given they were at high risk for suicide attempts, how does this compare to just predicting the people would always try to commit suicide in the following week?


Suicide attempt PPV = .16. This means, and correct me if I'm wrong, 84% of positive results would be wrong if the test was applied to the general population (population of psychiatric patients?).

> The most accurate prediction was achieved using bidirectional long short-term memory and simple lasso-penalized logistic regression models, with the best performing model using bidirectional long short-term memory to predict SRE, which with specificity at .90, had area under the curve = .94, sensitivity = .87, and positive predictive value = .30, and SAs with area under the curve = .90, sensitivity = .74, positive predictive value = .16.

Where SA is "Suicide Attempt" and SRE is "suicide-related event".

https://psycnet.apa.org/doiLanding?doi=10.1037%2Fabn0001117


I understand building data centers, but what does maintaining data centers entail? Are those going to be high paying jobs and how many of them. I don’t know much about the area but it seems like they would be low wage and not very many needed once the data centers are built.


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