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Don't know adding, but multiplication has diagram on the last page of the PDF.

xy = eml(eml(1, eml(eml(eml(eml(1, eml(eml(1, eml(1, x)), 1)), eml(1, eml(eml(1, eml(y, 1)), 1))), 1), 1)), 1)

From Table 4, I think addition is slightly more complicated?


Thanks for posting that. You had a transcribing typo which was corrected in the ECMAScript below. Here's the calculation for 5 x 7:

    const eml = (x,y) => Math.exp(x) - Math.log(y);
    const mul = (x,y) => eml(eml(1,eml(eml(eml(1,eml(eml(1,eml(1,x)),1)),eml(1,eml(eml(1,eml(y,1)),1))),1)),1);
    console.log(mul(5,7));
> 35.00000000000001

For larger or negative inputs you get a NaN because ECMAScript has limited precision and doesn't handle imaginary numbers.


> For larger or negative inputs you get a NaN because ECMAScript has limited precision and doesn't handle imaginary numbers.

This also shows why EML is not practical for computation.


x+y = ln(exp(x) * exp(y))

exp(a) = eml(a, 1) ln(a)=eml(1,eml(eml(1,a),1))

Plugging those in is an excercise to the reader


You use multiplication in the first line, which you have not expressed through eml yet.

Because of how exp and log turn addition into multiplication and vice versa, once you have the one, you get the other easily.


might need to turn the paper sideways


Why don't you go ahead and pick out the attacks in here that you think are relevant to this conversation? It can't be on me to do that, because obviously my subtext is that none of them are.

Ever play Doom (2016)? It's about renewable energy.

Pesky little--very minor--side effect that it's extracted from Hell, and using it causes the denizens of Hell to spill over to our side. One would say they are "unleashed".

By raising the price of oil so much, our dear leader is trying his level best to accelerate the transition away from fossil fuels.


The US military is extremely good at doing specific objectives. All militaries are garbage at changing hearts and minds.

That's what diplomacy is for.


Nowadays it's about efficiency and cost-effectiveness. Sure, 99% of the time a Shahed-136 might "lose" against a Patriot, but a Patriot missile costs 200x what a Shahed does.

Laser and EWar approaches are going to be more successful long-term as the price per "shot" is dramatically less, but deployments are slow.


The US uses APKWS and similar against Shahed-136. These guided missiles are cheaper than the Shahed-136. Why would you assume the US uses Patriot missiles against a Shahed-136? That isn’t part of their doctrine and the flight profile is a poor fit.

These have been operational in the US military for almost 15 years now and are widely deployed in the Middle East. You may want to update your priors. The US military anticipated all of this.

While these are cheaper than the Shahed-136, lasers have the advantage of unlimited magazine depth, so it is obvious why the US would invest in that.


> Why would you assume the US uses Patriot missiles against a Shahed-136?

It's a demonstrable fact they're using them against drones.

https://www.reuters.com/investigations/patriot-missile-invol...

https://www.wsj.com/world/america-downs-cheap-drones-with-mi...


I can't read either of those because they are paywalled but ghe first paragraph of the first one doesn't seem to support your position.

In any case, almost everything i've read is that the majority of drones are shot down with APKWS, with a patriot sometimes used as a last resort if one gets through.


Selected excerpts:

> In the statement, a Bahraini government spokesperson said the [Patriot] missile successfully intercepted an Iranian drone mid-air, saving lives.

> Wars in the Middle East and Ukraine have put a spotlight on how limited supplies of sophisticated missiles—including multimillion-dollar Patriot interceptors—are sometimes being used to defend against mass-produced drones that cost just a few thousand dollars.

> Gulf states are also spending big on the war. Nations including Saudi Arabia have launched multimillion-dollar Patriot interceptors and fired missiles from aircraft to take out Iranian drones.

The E-3 Sentry that got blown up was reportedly hit by drone. I'd guess they wish a Patriot had stopped that one.


> Bahraini

Bahrain is not the usa. There are many reports that gulf states use patriot missiles much more freely than usa does.

> are sometimes being used to defend against mass-produced drones that cost just a few thousand dollars

"Sometimes" being the key word here. I think 1% of the time would technically constitute sometimes and changes the ecconomics considerably.

It should be noted the Shahed-136 drone that was mentioned above cost $100,000, not a couple thousand.

My position is not that it never happens, just that its relatively rare and a bit overblown in the media. Military does need to figure out better solutions, but the status quo is not use a patriot on every drone.


> There are many reports that gulf states use patriot missiles much more freely than usa does.

I've seen the opposite claimed; that the US is surprisingly wasteful with their expensive ammo.

https://www.thetimes.com/world/russia-ukraine-war/article/us...

"“Often they [the US and its allies] were firing thoughtlessly,” the officer said. “For example, they used SM-6 missiles — from a ship, a very good anti-missile missile. This missile costs about $6 million, and they used it to shoot down a Shahed costing $70,000.”"

> It should be noted the Shahed-136 drone that was mentioned above cost $100,000, not a couple thousand.

That's the marked-up export cost.

https://en.wikipedia.org/wiki/HESA_Shahed_136

"various estimates for domestic production cost range from $10,000 to $50,000"


> Sure, 99% of the time a Shahed-136 might "lose" against a Patriot, but a Patriot missile costs 200x what a Shahed does.

From what i understand, i think people use other systems than patriots to shoot down Shaheds except as a last resort. So the cost difference is bad, but its not nearly as bad as it would be if you were using something like a patriot for every drone.


Working electronic counter measures are deployed right now.

Anti air guns work, that includes the 5-inch guns on all warships that can engage the drones at over 10 kilometers.

Laser guided rockets work as well, a single F-16 can carry at least 42 laser guided rockets and the pod it needs for targeting.


Ukraine has been striking down Shaheds with even cheaper drones for several years now.

No reason to use unproven technology when there's a practical means available.


Money analogy could better be put as one of:

1. Store your money in a 0% interest account—leave RAM totally unused—or put it in an account that actually generates some interest—fill the RAM with something, anything that might be useful.

2. Store your money buried in your backyard or put it in a bank account? If you want to actually use your money, it's already loaded into the bank.

Imperfect analogies because money is fungible. In either case though, money getting spent day-to-day (e.g. the memory being used by running programs) is separate.


US healthcare is a leader in administration fees (e.g. paying health system executives) compared to other countries around the world. High US healthcare cost isn't because of increased usage, but because of the higher admin fees and higher prescription drug prices. Prices are fixed high because law prevents the government from negotiating prices (o.b.o. Medicare/aid), and those provisions were inserted on behalf of pharmaceutical companies so their executives could make more money.

Paying individual workers more may have some benefits, but I think the key issue is usually overworking and burnout because the incremental cost of adding a whole new employee is way higher than just pressuring workers to do more work in the same time.


Unlike the PS3 which the US Air Force bought 1,760 and clustered into the 33rd most powerful** at the time.

(**Distributed computing is very cheat-y compared to a "real" supercomputer which has insane RDMA capabilities)


We had clusters of them in university too.

If all you needed to do was vector math, a dedicated vector processor with eight cores that are capable of running as fast as the extremely wide bus could feed them with data is the way to do it. You couldn't buy anything close to it's capabilities (for that specific task) for the money.

I remember the course we used them in being hard as hell, and the professor didn't really have any projects prepared that would really push the system.


From what I understand (may be wrong) this is exactly the reason that they stopped allowing Linux installs on PS3s.

People were buying them just for this purpose. However, the consoles were sold at a discount because Sony expected users to buy games, controllers, etc. If someone bought a PS3 alone, without anything else then Sony lost money.


It coincidentally happened around the time this came out.

https://web.archive.org/web/20110106074158/http://psx-scene....

Then they sued him. There's a bunch of archived links on his Wikipedia page.


Spotlight search is infinitely more useful than the Windows 10+ start menu. 99% of the time I'm just using it to open an app or a recent document/download.

In Windows, if I hit [Win], type "fusion" (to open Fusion 360, an app in the "Start Menu" folder, for what that's worth nowadays), there's a 70% chance it will do a Bing search for "fusion".


Just because something else is worse drones mean the other thing is good


Your autocorrect just wasted a full minute of my life (2s for re-reading, 8s for thinking about it, and 50s for responding.)


You can thank Apple for that. I even have autocorrect turned off yet it still insists on doing it... Most annoyingly it will change the word previous to the one I'm typing...


It's more useful until it spontaneously stops working, at which point you're stuck until and unless it spontaneously decides to work again.


My favorite is how it’ll just forget which apps are installed. A list of like 30 items. If you had one job spotlight, it’s this


Spotlight works great for me but the index can occasionally become corrupted. There’s a set of commands you can run to force a rebuild if you’re having issues. I’ve had to do this a few times over the years. This is another place where it’d be nice if Apple had a GUI to manage things like this.


When I open Spotlight and type "fusion", it selects "Remove Autodesk Fusion.app".


I forget what combination of settings does it but my Windows start menu now only searches the two start menu folders. It's perfect, completely deterministic, instant.

Trying to turn the app launcher into the magic "accio <anything>" bar was a huge mistake. You can have a second UI element for search, I promise it won't scare me.


The LLM model and version should be included as an author so there's useful information about where the content came from.


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