what’s even the point of a download link if you don’t have a guide that tells you how to click the link

i hope i don’t end up with the -4000 mAh battery if i buy the phone

if you learn how to solve zeno’s problem in the first book, it may be possible to solve 100% of your problems in the second book

please bro just download one more app. please, your phone has so much space. we need more data come on bro please

dont even get me started on “content” instead of “videos/tweets/games/whatever”. not to mention the term “content creator”

yep, this is a lemmy.ml post alright

Also “guest”? this isn’t a work huddle. Don’t you ever use that corporate trash-assed word after you clocked out. You arent c-suite, don’t use their language

so happy you said this. the use of the word “guest” instead of “customer” really gets under my skin

what if some are nodding and others are shaking their heads

i thought this kind of technology was still decades away

i think it depends on what you mean by “accurately”.

from the perspective of someone living on the sphere, a geodesic looks like a straight line, in the sense that if you walk along a geodesic you’ll always be facing the “same direction”. (e.g., if you walk across the equator you’ll end up where you started, facing the exact same direction.)

but you’re right that from the perspective of euclidean geometry, (i.e. if you’re looking at the earth from a satellite), then it’s not a straight line.

one other thing to note is that you can make the “perspective of someone living on the sphere” thing into a rigorous argument. it’s possible to use some advanced tricks to cook up a definition of something that’s basically like “what someone living on the sphere thinks the derivative is”. and from the perspective of someone on the sphere, the “derivative” of a geodesic is 0. so in this sense, the geodesics do have “constant slope”. but there is a ton of hand waving here since the details are super complicated and messy.

this definition of the “derivative” that i mentioned is something that turns out to be very important in things like the theory of general relativity, so it’s not entirely just an arbitrary construction. the relevant concepts are “affine connection” and “parallel transport”, and they’re discussed a little bit on the wikipedia page for geodesics.

it’s a bit of a “spirit of the law vs letter of the law” kind of thing.

technically speaking, you can’t have a straight line on a sphere. but, a very important property of straight lines is that they serve as the shortest paths between two points. (i.e., the shortest path between A and B is given by the line from A to B.) while it doesn’t make sense to talk about “straight lines” on a sphere, it does make sense to talk about “shortest paths” on a sphere, and that’s the “spirit of the law” approach.

the “shortest paths” are called geodesics, and on the sphere, these correspond to the largest circles that can be drawn on the surface of the sphere. (e.g., the equator is a geodesic.)

i’m not really sure if the line in question is a geodesic, though

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

go for it

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”

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.

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

i wonder how 5% of employees getting laid off will translate into executive bonuses. last year the top 2 guys made $72 million after laying off a bunch of people.

regular tensors are tough enough, i dont even want to begin to know what ⊗^⊗ means

yeah that’s a pretty big oversight tbh. they should make the website play “hold” music and add some “timeout” popups you have to keep clicking