Israel and trump appear to be claiming to have defeated the Iranian air defense, and achieve air supremacy over the Iranian capital.

If that’s true then Iran is in deep trouble, and inviting them to surrender wouldn’t be unreasonable. I very much doubt that it is true, but that’s what they seem to believe

It’s far harder to achieve mass manipulation of the ballot when it’s all being handled by a lot of human hands. If it’s managed by computers, then by finding a bug or other vulnerability in the software or database you could alter the whole election.

Meanwhile, to manipulate a paper ballot & hand-counted election in the same way you’d need the cooperation of a huge number of people, and you’d need them all to keep their mouths shut. That’s far more difficult than defeating a computerised system

That’s an implementation detail, not really relevant to my point.

I don’t think you appreciate how powerful those magnets are. Any ferromagnetic object would be doing well to avoid binding up completely when held right up to the device

Realistically, the mechanism would jam. I doubt the hammer would fall, being squeezed hard against whatever structure supports it

Honestly I think it’s misleading to describe it as being “defined” as 1, precisely because it makes it sounds like someone was trying to squeeze the definition into a convenient shape.

I say, rather, that it naturally turns out to be that way because of the nature of the sequence. You can’t really choose anything else

X^0 and 0! aren’t actually special cases though, you can reach them logically from things which are obvious.

For X^0: you can get from X^(n) to X^(n-1) by dividing by X. That works for all n, so we can say for example that 2³ is 2⁴/2, which is 16/2 which is 8. Similarly, 2¹/2 is 2⁰, but it’s also obviously 1.

The argument for 0! is basically the same. 3! is 1x2x3, and to go to 2! you divide it by 3. You can go from 1! to 0! by dividing 1 by 1.

In both cases the only thing which is special about 1 is that any number divided by itself is 1, just like any number subtracted from itself is 0

You’re still putting words in my mouth.

I never said they weren’t stealing the data

I didn’t comment on that at all, because it’s not relevant to the point I was actually making, which is that people treating the output of an LLM as if it were derived from any factual source at all is really problematic, because it isn’t.

You’re putting words in my mouth, and inventing arguments I never made.

I didn’t say anything about whether the training data is stolen or not. I also didn’t say a single word about intelligence, or originality.

I haven’t been tricked into using one piece of language over another, I’m a software engineer and know enough about how these systems actually work to reach my own conclusions.

There is not a database tucked away in the LLM anywhere which you could search through and find the phrases which it was trained on, it simply doesn’t exist.

That isn’t to say it’s completely impossible for an LLM to spit out something which formed part of the training data, but it’s pretty rare. 99% of what it generates doesn’t come from anywhere in particular, and you wouldn’t find it in any of the sources which were fed to the model in training.

That simply isn’t true. There’s nothing in common between an LLM and a search engine, except insofar as the people developing the LLM had access to search engines, and may have used them during their data gathering efforts for training data

Except these AI systems aren’t search engines, and people treating them like they are is really dangerous

I couldn’t find the actual pinout for the 8 pin package, but the block diagrams make me think they’re power, ground, and 6 general purpose pins which can all be GPIO. Other functions, like ADC, SPI and I2C (all of which it has) will be secondary or tertiary functions on those same pins, selected in software.

So the actual answer you’re looking for is basically that all of the pins are everything, and the pinout is almost entirely software defined

BGA, like in the photo, isn’t the only option. There are options only slightly larger with hand-solderable packages (if you’re good at soldering)

How did you calculate that? The question didn’t even mention a specific speed, just “near the speed of light”.

The kinetic energy for a grain of sand near the speed of light is somewhere between “quite a lot” and “literally infinity” (which is, in a sense, the reason you can’t actually reach light speed without a way to supply infinite energy).

It was pointed out to me a while back that the paradox of tolerance is only a paradox if you consider tolerance to be a philosophical position.

In fact, we don’t treat it like that. We treat it as a social contract, in which context it is no paradox at all to say that if you aren’t tolerant then other people aren’t obliged to tolerate you in turn

I bet he’d quickly become less busy if he was the supreme commander of the US armed forces

For once, I don’t think that particular charge is entirely inconsistent with the dictionary definition.

He’s accused of killing a member of the public in the hope of frightening everyone else in that person’s position into taking some kind of action.

I think the law says something about killing for a “political purpose”, with the goal of changing some kind of public policy or behaviour. That’s not an unreasonable interpretation of what happened, I think.

Unfortunately that means they get to use the laws which were written to deal with mass murder and bombing public spaces, which I don’t think is particularly appropriate but doesn’t seem out of line with the law

The ISS has enough spacecraft docked to take everyone home at a moments notice, always. Nobody needs to launch anything.

They broke that rule briefly when the Boeing capsule was deemed unfit for use, but they quickly fixed that.

I’ve heard it’s actually really difficult, because a good translator doesn’t do it literally.

They’re supposed to say something which gets the same meaning across, which often isnt what you’d get just by translating each word.

That leaves people translating trump with a problem: you can’t generally turn his long rambling speeches into something with a clearly understandable meaning without putting words into his mouth, or summarising so aggressively that you’d only say a couple of sentences for every few minutes of speech

Because printers (of the kinds you’re likely to find on the consumer market) don’t make dust in any significant quantity.

They make fumes, which are an entirely different kind of hazard and need different precautions

I disagree. It’s perfectly possible to hold an internally consistent view that it’s wrong to execute a prisoner, both because there’s no reason to do so (the prisoner already being imprisoned) and because courts get the decision wrong too often (and/or because the courts aren’t trustworthy), while also believing that it’s acceptable to kill under other circumstances