Відео

Edit: Nevermind, just watch the video. I was lucky enough to misunderstand the problem at first, reading it as a simple cubic structure (the same as the actual problem, just without the atom at the cube's center). This made the solution trivial, as each domain would be a cube of length A (identical to the cubes making up the crystals except shifted to have an atom at the center) and the volume would be A^3. Looking at the diagram and noticing my mistake, I noticed that there are as many center atoms as there are edge atoms, and they have translational symmetry to each other (that is, if you shift the entire crystal so that an edge atom were at the position where a center atom used to be, the shape would be identical). Since there are twice as many atoms as the simple cube, and each atom has an identical domain, I could just take the simple cube answer and divide by two for 1/2 A^3.

In real life, the problem itself is not difficult enough to have top students struggle like that. Yet, it works pretty well for the metaphor while also giving the average viewers/readers a digestable explaination that makes sense. Furthermore, those who are more familiar with the topic will find it as a nice reference like you explained in the video, and something nice to share with others.

Gojo was lucky he never met limit man, maybe he did tho😅 Also lucky everyone who didnt have to learn Real Analsis in their first semester, with continues functions etc being a part of it(with rigours proofs btw, no Fun allowed😂). Just joking i have fun and basicaly dont have to do things(as in put in any realy effort to understand it), even if i see most others despair at it.

Numbers are essentially infinite, right?

i cant believe i guessed the right answer (area of cube divided by 2) lmaooo i just guessed that if the area's boundaries are at the midpoint between center and corner, the answer probably has a fraction with an even denominator and I guessed the simplest answer of a^3/2 HAHAHAHA

bro gave us homework too

the paradoss you explained is the one with the arrow, achilles and the tortuoise says that if the tortuoise has a head start achilles can't win because to surpass her Achilles has first to get to that distance, but when he is at that distance she moved by another distance, even if smaller still moved, and so on, Achilles can only get near to overtake her but he can't

If you wanted to brute force it with asanos method you could solve it in a simper way using coordinate geometry by taking the (0,0,0) as a vertex and the coordinates of the square on a side of a cube as (a/2,0, a/4), (a/2,a/4,0) and so on and use box product of vectors for volume of tetrahedron and 1/3 * area of base * height for the pyramid

It's The Concept Of Black Hole and Time As we Go More Closer Near Black Hole Time Decrease means Moment Speed ⚡ Decreases

valid

6:56 THAT'S WHY ASSASINATION CLASSROOM IS THE GOAT!!!!

I lost a braincelk

this is peak

i thought this was an assassination classroom video not a math video

Now I know why teachers are teaching kids calculus to find out things that aren’t necessary for us to live.

Nah Bro I didn't understood one word of the vid

limitless explained by limits

Me, going to my Calculus 2 exam in uni: Nah, I'd win

So, Asano's method was finding the domain in the middle by subtracting everything that's not in the domain, but Karma finds that everything that isn't in the domain is equal to everything that is in the domain.

so brainrot (amazing)

Why DDINT Achilles just go ahead of the tortoise like bruh it’s a literal tortoise it ain’t beating yiu in a race. Is the paradox saying that as long as Achilles doenst go ahead of the tortoise we can just make an infinite amount of points that lead to the tortoise? And since there in infity he can’t go ahead of i

Technically we all possess infinity But Gojo forces u to walk that infinite halve 😂

This anime is not helping the “Asian good at math” stereotype, I don’t know what I’m gonna do with this newfound knowledge of mine but thanks for the explanation

For once i wanted to learn math

megumi bum correlation is crazy

You are confusing our mathematical models with the functioning of the universe. There is no reason to suspect that there is some computational aspect of the universe just because our models are expressed in the language of mathematics -- no reason to suspect that nature itself has a 'language'. One could try to argue that if our model has no flaw then we are justified in assuming the model accurately describes the universe. However, thanks to things like indeterminacy and the rules following paradox, we can never verify that our model is spot on and perfect without flaw. The scientific realist can never be justified.

Dawg WHAT is your problem with Megumi 😭😭😭

Bruv this shit is in the chapter solid state in physical chemistry. That chapter is one of the easiest and also got deleted from our syllabus 6 months before our national medical entrance exam too 💀

as a chemist seeing this after going through crystal theory gave me major whiplash

I always thought that it was weird that the main character in this show has more estrogen than most women (a fact the show embraces lol)

Oh good, it was just limits. I clicked on this video thinking we needed to find the flux of air particles through an opening of space in Gojo's Infinity or something and I'd have to relive the nightmare that was multivariable and vector calculus of this past semester.

I am flabbergasted this part of the anime existed I don't even remember any math problems I just remember how heated up they get about their bloodlust and training with Assassination knives XD classic Since I don't understand math I don't include it as a solution of a problem lol

This video is absolutely beautiful, though it takes some time to fully digest.

Who cares about usa...

I love this kind of math traduction

Help I'm taking AP calc so I actually understood this video 😭 so cool tho ngl

It’s crazy that I understand this as a calc student

Now tell me how Sukuna was able to overcome Gojo's infinity using Mahoraga

Watching this at 2:00 am was a mistake

My dumbass thought the problem was drawing the shape in which all the points were closer to the center and all the corners and spent almost half an hour doing it

Well, I guess Karma was thinking "out of the box"

Gojo Is Asian That's why

please explain lapse technique: blue i have read about it over and over and i still dont understand. technique reversal: red is supposed to be more complicated yet i got it instantly

calculus mfs hear "Infinity" and goes insane

When you've just failed your final math exam and this shows up on your recommendation after 2 years:

This will be the only place I could ask this question: So, could Vergil's Yamato cut in between Gojo' Infinity and reach him?

Think of it all of you so basically in Zeno's paradox he explains that if Achilles is trying to reach the turtle and he gets to the last position of the turtle but the turtle would have had enough time to move forward so even if Achilles is faster he would never be able to reach the turtle. He argues to prove that his theory is invalid even though we know it surely is invalid we can't prove it because it is half-way mathematically correct but is not implemented in reality. Why? Answer is simple we just have to apply some simple physics here, so we know that if according to the paradox, Achilles and the turtle are moving indefinitely then they require infinite amount of energy at the same time, which all of us know is impossible. Therefore, the turtle being comparatively smaller in size as compared to Achilles will slowly get tired and so the distance being covered by it in a particular time will slowly be minimized allowing Achilles to get to it in a couple of motion.

*Yooo go/jo!!! I didn't know your diagnosed as an asymptote.... Man i thought you got bisected or something. Maybe got brain damage or got sealed away by a good old pal, thank god it's just math...... WHAT WHA-*

literally learning this topic in school rn

I was looking up how to make cheesy scrambled eggs and your video was suggested to me for some reason. Great video though! It's a shame it didn't give me much direction for cheesy scrambled eggs tho lol I guess I should read this Gojo thing to understand the video better