Talked you into it*

Adjective-Noun-#

Fuck, I’m the inverse. I’ll know better for next time.

Yeah. Data on how the gov’t works. What it does and how it did it.

After he went ahead and changed the way they do it. All in all, quite useless information now.

The only thing Grok will learn is how to impersonate the government better.

Their main problem with libraries is the public part.

xitter

The only good way to spell that platform’s name. Love it!

I like to take an evening stroll down Murder to do some mordor.

Clearly “grrr”

Consequences?

Since when?!

Geese decry aerial restitution.

Talking about integrals, the fun part is that even with a coastline of indeterminate length, the area of a continent is easy to define to arbitrary precision - you can just define an integral that’s definitely inside the area and one that’s definitely outside the area, and the answer is between those two

Is it?

The main problem with a coastline’s shape isn’t the fractality of it, or the relative size we measure in (the “resolution”).

It’s the fact that a coastline isn’t a static thing. The tides move the shoreline by up to a few meters.

Then there are tectonic movements. These are much slower, but much more powerful: at one point Asia wasn’t even a thing.

As you take the “resolution” up, yes - you’ll see various fractal-like behaviour.

But, and thus is a big but: this will happen even if you take a straight ruler of, say, 1m in length (or, since we have to deal with every little edge case here, the part of it that actually measures out a meter). If you zoom in on it at the molecular and atomic levels, you’ll come across the same problem: a straight line isn’t a straight line! Just by taking an optical microscope, you’ll see the inherent jaggedness (fractality) of our supposedly-straight ruler. It turns out our ruler just appears straight at the human “resolution” (scale).

But does that mean a ruler measuring out 1m isn’t 1m long? While it may not have tectonic or tidal movements, the molecules building up the ruler aren’t straight.

Does this mean the ruler, “zoomed in enough”, will appear to be of infinite length?

Yes.

But does that mean its length is infinite?

No. Its length is clearly 1m, +/- a small rounding error.

The same idea applies to our coastline.

Talking about integrals, the fun part is that even with a coastline of indeterminate length, the area of a continent is easy to define to arbitrary precision - you can just define an integral that’s definitely inside the area and one that’s definitely outside the area, and the answer is between those two.

What is the difference between length and area, other than the one dimension they are apart?

What you’re taking as a common sense assumption for area is equally applicable to the length. Find two extremes, and the answer is somewhere in the middle. The less extreme those extremes become, the more accurate the approximation.

Just as you can integrate the area, there must be an equivalent process to integrate the length.

And besides, any curve used to model the length of a coastline is a bigger assumption than a sufficiently sane “resolution” used to divide the curve into discrete intervals for the purposes of geodesic measurements. As you vary the number of reference points,the length will indeed increase. But after each successive round of refinement, the difference will be less and less, even though it will consistently rise. At one point, it will become insignificant enough.

Why does area get to be especially fun and definite while length, its one-dimension-away sibling doesn’t?

What about volume? Is it an unsolveable enigma like length, or a long-solved problem like area?

It isn’t.

When you look at the number of real numbers, you can always find new ones in both - you’ll never run out.

That being said, imagine (or actually draw) two number lines in the same scale. One [0,1] the other [0,2]. Choose a natural number n, and divide both lines with that many lines. You’ll get n+1 segmets in both lines.

When you let n run off into infinity, the number of segments will be the same in both lines. This is the cardinality of the set.

But for practical purposes of measuring a coastline, this approach is flawed.

Yes, you’ll always see n+1 segments, but we aren’t measuring the number of distinct points on the coastline, but rather its length, i.e. the distance between these points.

If you go back to your two to-scale number lines and divide them into n segments, the segments on one are exactly two times larger than on the other.

This is what we want to measure when we want to measure a coastline. The total length drawn when connecting these n points (and not their number!) as the number of points runs off towards infinity.

The solution to this “paradox” is probably closer to the definition of the integral (used to measure areas “under” math functions) than to that of the cardinality of infinite sets (used to measure the number of distinct elements in a set).

Once you stop existing, it just becomes a crisis.

Crossbows are clunky and slow operate.

Their plus is that untrained people can use them.

An expert bowman could outmatch a group of 12 crossbowmen.

But if you had a group of 50+ men to arm with bows or crossbows (hundereds and thousands weren’t uncommon historically), a crossbow was more effective because there’s no way in hell you’d get, say, 10.000 expert bowmen. If you were to arm such a legion with bows, you’d most likely suffer more damage from friendly fire than from enemy fire.

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You forgot the part where he sues the bank for damages because they were caused in their building. $3 bn.

There’s liturgy, and probably some animals for sacrifices. It’s not as barren as you may think.

The others go to hell. They probably party a lot down there.

How come?

You can route traffic without Cloudflare.

You can use CDNs other than Cloudflare’s.

You can use tunneling from other providers.

There are providers of DDOS protection and CAPTCHA other than Cloudflare.

Sure, Cloudflare is probably closest to asingle, integrated solution for the full web delivery stack. It’s also not prohibitively expensive, depending on who needs what.

So the true explanation, as always, is lazyness.

I can’t beleve a Harold lookalike could do such a thing!

Sexism impacted both Hillary Clinton and Kamala Harris, and will be even harder for a GOP candidate to overcome.

What with the hypocrisy and shifting goalposts for MAGA/GOP types, a female Trump 2.0 would seem quite plausible to my eyes. These types don’t care for conserving anything in particular nor for standing up afor any fixed set of values. They are, quite literally going along with the flow.

I’m from Europe and it’s unheard of in my area. Although gas stations here work quite differebtly from US ones.

You drive up to the tanking machine. You take the gun and start tanking. No credit card terminal, no nothing on it. Just a display of liters pumped and amount owed.

When you finish, you enter the station, say the tanking plot number and pay that exact amount.

If you run off… I guess they call the police?

I’ve never had it happen to me, but if you were out of cash and all the cards you had failed for some reason you’d merely exchange contact info and pay in a few days via bank transfer, CC, cash or whatever.

If you don’t, you’ll get a court order within a year to pay the amount + some interest + court fees. That’s enough of an incentive for people to pay, I guess.

If you just tank up and leave, you could get booked for theft. Most places have cameras and cars have licence plates, so finding the offender is quite simple.

Therefore, no preauth.