if they use an LLM to make the suggestions then it’s possible it ends up suggesting websites that don’t even exist. or it could accidentally suggest a malware website, or make a typo, etc.

this could be dangerous if they aren’t very careful

maybe it’s being developed in the arctic circle and there really are only four nights per year

where’s the creamy filling

it was over as soon they casted kevin hart

personally i’m a fan of tearing off everything except a small corner of a napkin

go for it

i forgot for a second that the winters and summers get flipped in the southern hemisphere

from a topological perspective, wraps and tacos are two different beasts.

in a wrap, the bread completely surrounds (and encloses) the other ingredients, so theres a 2-dimensional hole involved (which basically means the inside is hollow).

in a taco, no such wholes are present.

you can also distinguish sandwiches from tacos and wraps (since sandwiches involve two pieces of bread, like you said). but unfortunately, you can’t topologically distinguish a burger from a sandwich

it is possible to rigorously say that 1/0 = ∞. this is commonly occurs in complex analysis when you look at things as being defined on the Riemann sphere instead of the complex plane. thinking of things as taking place on a sphere also helps to avoid the “positive”/“negative” problem: as |x| shrinks, 1 / |x| increases, so you eventually reach the top of the sphere, which is the point at infinity.

people joined a cult because of this theorem. that must be awkward

being a prompt engineer is so much more than typing words. you also have to sometimes delete the words and then type new ones

i think this is a fairly reasonable gut reaction to first hearing about the “unnatural” numbers, especially considering the ways they’re (typically) presented at first. it seems like kids tend to be introduced to the negative numbers by people saying things like “hey we can talk about numbers that are less 0, heres how you do arithmetic on them, be sure to remember all these rules”. and when presented like that, it just seems like a bunch of new arbitrary rules that need to be memorized, for seemingly no reason.

i think there would be a lot less resistance if it was explained in a more narrative way that explained why the new numbers are useful and worth learning about. e.g.,

• negative numbers were invented to make it possible to subtract any two whole numbers (so that it’s possible to consistently undo addition).
• rational numbers were invented to make it possible to divide any two whole numbers (so that it’s possible to consistently undo multiplication, with 0 being a weird edge-case).
• real numbers were invented to facilitate handling geometrical problems (hypotenuse of a triangle, and π for dealing with circles), and to facilitate the study of calculus (i.e. so that you can take supremums, limits, etc)
• complex numbers were invented to make it possible to consistently solve polynomial equations (fundamental theorem of algebra), and to better handle rotations in 2d space (stuff like Euler’s formula)

i think the approach above makes the addition of these new types of numbers seem a lot more reasonable, because it justifies the creation of all the various types of numbers by basically saying “there weren’t enough numbers in the last number system we were using, and that made it a lot harder to do certain things”

this would be so Disruptive

it’s mathematically provable that the shortest path between any two points on a sphere will be given by a so-called “great circle”. (a great circle is basically something like the equator: one of the biggest (greatest) circles that you can draw on the surface of a sphere.) i think this is pretty unintuitive, especially because this sort of non-euclidean geometry doesn’t really come up very frequently in day to day life. but one way to think about this that on the sphere, “great circles” are the analogues of straight lines, although you’d need a bit more mathematical machinery to make that more precise.

although in practice, some airlines might choose flight paths that aren’t great circles because of various real world factors, like wind patterns and temperature changes, etc.

most horrifying thing is the bathroom being at the top of a flight of (carpeted) stairs

this is what i do when im feeling mischievous and want to annoy my family in the morning

completely agree. and it’s even more insidious when you take into account how he’s spent the past 6 years bragging about how he has a salary of $0 because he’s “only working for the betterment of humanity” or some nonsense like that.

they’re probably assuming it will be like every skyrim update released in the past 10 years, which is a fair assumption.

and this update has also caused the widely anticipated fallout london project being indefinitely postponed. in the article linked, you can see the fallout london project lead saying:

“But with the new update dropping just 48 hours [after Fallout London’s original release date], the past four years of our work stand to just simply break.”

i don’t really see what good it does to say “nobody can know that at this time”, when people have every reason to think that it will break their mods. i mean sure, nobody knows the future, but you can say that about literally every single prediction made about anything in the future. it’s a tautology. are you trying to imply people shouldn’t make predictions about anything?

yeah it has. it’s a photoshopped picture of todd howard

Board chair Robyn Denholm wrote in a letter included in the regulatory filing: “Elon has not been paid for any of his work for Tesla for the past six years… That strikes us, and the many stockholders from whom we already have heard, as fundamentally unfair.”

Musk’s compensation for 2023 was $0, the filing showed, as the billionaire does not take a salary from the company and is compensated through stock options.

it’s so unfair that elon hasnt gotten a single pay check and has instead had to settle for making billions off of his stock options. think of all the mega yachts and social media companies he could’ve bought if only he had been paid a salary.