Animation Vs Math | AvG Reacts

[@o__o.6212]

To answer DJ's last question: The titanic graph in the background was Aleph. It's a Hebrew letter, but also used to represent levels of infinity, hence the size of the creature.

[@camdenprime5430]

Cool

[@BenziLZK]

Just a bit more fun fact, the Aleph we are seeing might as well be the smallest Aleph (Aleph-null), but I don't think they will think this much when animating this xD

[@Shanothian]

@@BenziLZK technically it wasn't even aleph null, as there was no 0 next to it

[@limonlx7182]

Alephant

[@camdenprime5430]

@@limonlx7182 funny

[@josephfield6969]

As someone who’s taken calculus, this is an accurate representation of what it’s like

[@rovieneolexizlegaspi8464]

Pain

[@caominh8622]

​@@rovieneolexizlegaspi8464i found 1 type person choose math and feel pain

[@Kelvin_Rey]

What? Having a war with a Letter?

[@isaactai8830]

I cant help but feel empathy, I understand like 99% of it but geez that dupe glitch got me hard I forgot e to the iπ = -1

[@stevejohn7459]

Here’s one: Here’s a stumper: Turn this equation below into the following attributes below: Y=4/2+X X-Intercepts: Axis of Symmetry: Y-Intercept: Vertex: Vertex Form: Range: Mean: Value of Y: Value of X: Simplified Equation (First thought of simplifying the original problem):

[@ShoreyardAri]

As a dude with a math degree I think the premise is completely accurate. During upper undergrad studies, like a mini-boss, Euler's Identity will appear at seemingly random in different areas of math and each time you're expected to subdue it as part of the degree requirement.

[@samn.s_sand]

Interessanté...

[@dragonking1881]

You lost me after the first sentence

[@fusioncore7445]

​@justvibing4796lol

[@dkursada]

Ikr? e seemed to come up in the most random, unrelated areas in math and physics... the most mysterious irrational number ever

[@KeiraSamson]

@justvibing4796don’t turn ur fridge into a zero now 💀💀

[@abreathofairABOA]

We definitely need a math breakdown if possible! I'd love to know some of the ideas behind the episode!

[@mystii-]

YES

[@echomaster1242]

Someone please explain what’s going on in there!!!

[@MKJBlewis]

I saw someone make a comment like that with time stamps on the original video.

[@thespeedyyoshi]

SAMEEEE

[@dimserene]

@PapaFlammy69

[@Galaxies3000]

As a Korean student who has given up on math, I can confirm that I recognize at least 80% of what's going on. Edit: Ok maybe 70.

[@sugarrushambassador]

Are you Korean? Edit: I didn't mean to start a war in the comments -

[@ayanellezooman685]

@@sugarrushambassadoridk if he is a Korean he seams Chinese to me

[@juicepang]

@@sugarrushambassador he is probably a Korean

[@friendlyman11]

네?

[@Galaxies3000]

@@ayanellezooman685 뭐라 했냐

[@TheOrionskywalker99]

The giant symbol behind the others at the end is Aleph. In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered. They were introduced by the mathematician Georg Cantor and are named after the symbol he used to denote them, the Semitic letter aleph

[@zejon9053]

Warto dodać że dziś ten symbol jest niezwykle przydatny, a jego twórca był wyśmiewany przez swoje dzieła i w końcu pracując nad nieskończonościami stał się trochę obłąkany.. nie dziwię się, ktoś kto tak zagłębił się w ♾️ trudno by zachował zdrowe zmysły 😅

[@TheTrashyboi]

I saw "sets" and my brain turned off

[@Scimitars-in-sandstone]

Oh! I thought it was a lamed (ל) rather than an aleph (ℵ).

[@DrCocofruit]

Does that mean the 'nth' term? Cus that's what I'm thinking of (that's the last I remember of math after trig @_@)

[@-melodic-grims-8236]

LOL i thought it was X

[@followingseas1913]

As someone who has a master's in mathematics, this was so much fun to watch. I love how it started with 1 and went right into Euler's formula. e^i(PI)=-1 hailed as the most beautiful equation in mathematics.

[@lenoobxd]

Something I’m confused of is that why (i^3)=e^i(pi)=-1 Anyone can explain this?

[@akk3647]

@@lenoobxd i^2=-1 therefore i^3=i* -1 = ie^i(pi).

[@Wolfy-pw2py]

@@lenoobxd I think (i^3)=-i

[@skillissueee7426]

I'm still in high school so I only understood half of it 💀

[@Heggchandwich]

​@@Wolfy-pw2pyit iis

[@chrysanthemum9484]

As someone is working on getting a semi math major I can promise you... This is fairly accurate.

[@hologaster]

Can you explain the part where TSC saved the e^iπ? I dont really understand that part.

[@chrysanthemum9484]

@@hologaster that has nothing to do with math... It is all about bonds and wanting something from each other. TSC wanted to get out from there and return to what they are used to and e^iπ seems to have wanted to be left alone.

[@hologaster]

@@chrysanthemum9484 I mean the part where TSC and e^iπ go to the i part of the graph and that part seems start to break down after that mega anit-e^iπ lazer hit the x-axis for prolong period of time.

[@TrIIden]

@@hologaster jesus

[@hologaster]

@@TrIIden what?

[@a.n.9800]

My brother isn’t a math major (he’s studying accounting though so math is still involved) but he was definitely a math nerd growing up; as a small child he’d do long division for fun. Now he’s in musical theatre, so I’d say he can get pretty emotional XD He says “that ‘e’ had more personality than most main characters in movies today.”

[@KeiraSamson]

HELP

[@skitthebagel]

damn. your bro's spitting straight facts there.

[@constellationmaker135]

that says a lot of stuff

[@wholekilogramofbutter480]

@@constellationmaker135dang, it sure does

[@radn3621]

Man...I always had this idea of having the operations, simplifying, exponents and pre-calculus be something like alchemy where you would be able to manipulate different variables and see different reactions. Imagine something like this being a game. The visual representation of all of that blew me away. 10/10

[@radn3621]

I got lost at the derivation and further trigonometry....I never really liked it and have a hard time understanding it.

[@PlayTestGameTest4ever]

we need that interface on vr... also 10/10=1

[@TrIIden]

@@PlayTestGameTest4ever ok 10 out of 10, now what

[@JuxGD]

MATH FIRST PERSON SHOOTER

[@annualdark]

​@@JuxGD call of education

[@tanzimali7210]

as an engineer, I was taken aback by how creative this video was, in terms of just how accurate everything was.

[@zejon9053]

"Math is the language of reality" takes on a new meaning here

[@michaelharrington7218]

I would love a math tutorial in this style. the semi tactile way everything works, the visualization of concepts in interesting ways, the use of functions to build more functions. it tickles a part in my brain that just loves it.

[@swifter46ter]

A math video game! Assemble weapons to reduce opponents to 1.

[@dragonifyamazing2721]

As a person who hates math and suck at it, I might even try to play this game and even try math.

[@SkywardWords]

an rpg purely about math would be cool

[@mathpuppy314]

HUGE props to the lead animator who came up with this. It's hard to put this much creativity into calculus and beyond

[@thefox_dr.karven3629]

Fun fact:the lead animator was a legendary animator on dojo too,he created the shock series and the Rhg FLLFFL

[@yaeyde]

​@@thefox_dr.karven3629you just activated my nostalgia

[@thefox_dr.karven3629]

@@yaeyde it’s my nostalgia too lol

[@HiveEclipse001]

And his name is Terkoiz.

[@DecoyOnYT]

@@thefox_dr.karven3629 OUR NOSTALGIA

[@Rocket3830]

What I love about this video is you can see the weapons slowly going from a club, to a bow, to a rapier, to a gun, and then the future. Not only is his mind expanding but so is the complexity of the weaponry, so cool.

[@MathOverChemistry]

Let’s see: 0:14 the number 1, also equalities 0:27 addition 1:32 subtraction 1:42 negative numbers 1:48 Euler’s identity, in trig, a number in the form e^ix can be represented as a point on the unit circle (circle with radius one whose center is the origin on the complex plane), the x is the angle in radiants at which the point is located, since pi radiants is 180 degrees, the identity equals -1. 2:25 double negative makes positive 2:32 multiplication 2:43 division 2:57 dont divide by 0, please 3:14 positive exponents 3:38 negative exponents 3:44 rational exponents/ radicals 3:59 Imaginary numbers, normally you can’t take the principal square root of a negative number, so some old smart guy made imaginary numbers (i) where I squared is -1. 4:22 the euler identity tried to escape by multiplying itself by i, but the i that was thrown made the i into a -1, which is why when the eulers identity went through the wall, it didnt dissaper 4:25 trigonometry representation on eulers identity, sometimes written as cis (cos + isin) for anyone studying trigonometry, you know the beauty of working with complex numbers in trig form 4:31 pi radiants is 180 degrees thus the half circle 4:28 the - flipped the orange guy 5:01 the bow is made up of two twos, a multiplication sign, and an equal, so it shoots out 4s 5:04 pi/4 rad is 45 degrees so the circle isn’t complete 5:26 complex plane( reals on x axis imaginary on y) 5:43 unit circle 5:50 2pi rad in circle 5:57 definition of radiant 6:12 r is radius, theta is angle 6:46 pi :) 6:52 cos and sin, and how their graphs are drawn using the unit circle. 7:17 i rotates the sin wave 90 degrees 7:28 same eulers identity 7:43 Taylor series (complicated stuff) if im wrong plz correct me 7:53 circle and cylinder 8:11 orange guy uses the - to go to the opposite side 8:33 complex definitions of sin and cos (rest in reply’s cause it’s getting too long)

[@MathOverChemistry]

8:39 sin/cos = tan 8:51 tan waves on the balls 9:12 pi radiants so rotated 180 degrees 9:37 infinity 9:47 real thing (idk formal name) the exponent next to the real is the amount of reals, so when the exponent is 4, all four variables all belong to the reals 9:54 sick animation, also all the expressions are equivalent 10:07 integrals can Handle infinity, thanks to limits 10:28 +9i moves up 9 10:58 one integral can’t Handel multi variable stuff 11:08 big radius 11:15 death laser of trig 11:34 they get rotated 90 degrees because of i, as stated in the video 12:46 ixixixi is 1 13:14 I have no idea what that is, I think something about n dimensional unit spheres or something. But idk 😂 someone smart plz let me know 13:44 zeta, phi, and delta 13:54 aleph nole (smallest infinity) IF I MISSED ANYTHING OR GOT ANYTHING WRONG PLZ TELL ME :) -nerdy highschool freshmen

[@improbablyfur]

@@MathOverChemistryok

[@stan110]

​@@MathOverChemistry I believe 13:14 is euler calculating the valume of the sphere orange is in. and turning himself complex makes it -1. I dont really understand why but I got that from a video explaining the math shows in the video.

[@crazychicken8290]

@@MathOverChemistry hoow do you know alll this as a freshman im a junior and what

[@MathOverChemistry]

@@crazychicken8290 Asian power

[@cheshire1]

The giant in the background is Aleph, the infinite cardinal. It represents the size of the set of natural numbers. Vsauce explains it in _How To Count Past Infinity_ .

[@viajandoxelmundo2]

@freerobux49 levels of infinity? OMG! Now I'm just guessing the meaning of a book I read a long time ago. Everything makes sense now. Thanks for the contribution.

[@BebeFlizo]

11:21 Alan: make sure you get it on the target Dj:He wants to make sure he does maximum crit damage 😂

[@BebeFlizo]

11:12

[@asonjarossa2023]

I'm a computer engineer and the highest math class I've taken is Calculus III. I understood all of this and I'm absolutely proud of it.

[@jaysonbunnell8097]

computer engineers let's go!! I didn't need to take calc III, but diff eq and linear algebra both reference these topics heavily. Some of my friends in calc III make me jealous with some of the stuff they're talking about lol

[@yuandaliu7002]

this is exactly what I wanted to say too

[@ChenLiYong]

As a gamer, when I heard “Calculus”, it’s similar to (Giant) Collosus boss in my ears. 😂

[@tomtheravenclaw8661]

Bruh the Aleph cameo at the end goes hard.I wonder how Orange ended up on the "conceptual math plane" in the first place...

[@olivergobrrr2935]

Alan opened Desmos and TSC cracked a hole into the imaginary plane or something...

[@lenoobxd]

Or in his jail of the “wanted” episode where he had the access to this realm? Or simply his imagination

[@olivergobrrr2935]

@@lenoobxd It doesn't seem likely for it to be connected to "Wanted" imo since the stickmen there are more focused on drawing tools than mathematical tools from what I've seen (I mean...vector exists but well...) It might be a standalone or a spinoff which may/may not directly impact the Alan Becker Universe, but who knows?

[@miner_fabs]

My current theory is that this kind of conceptual space is where all drawn stick figures end up before being converted to a symbol like we see in the first 3 AvAs. If this is the case, then I think that AvMath takes place whilst The Second Coming (Orange) is being drawn in AvA 4. Because of a literal chosen 1, however, TSC is able to start this series of events ultimately leading to his escape of the conceptual space without Alan converting him into a symbol, explaining how he could be alive in the first place in AvA 4. Also note that when using the function gun with the infinity symbol, the resultant beams resemble the one that he fired at The Dark Lord, and near the end he could use the circle to fly without any method of propulsion, like he can when he's awakened.

[@olivergobrrr2935]

@@miner_fabs Oho, so you're saying TSC is fighting with vectors?

[@KShadow]

Id be interested to see other basic concepts like this explored. Like an animation vs art video would be very amazing to see or even animation vs music

[@coronacyrus2499]

I like to think animation Vs art was basically what Animation Vs Animator 4 is

[@lavender3609]

Animation vs. Music sounds so incredibly cool. If there's a music genius on the team, they could totally direct it or just come up with the story. There's a lot of complex stuff in music as well as math, so there is a lot of possibility there. If there was the slightest possibility, though, I could literally wait a decade for it to come out. There's so much else for Alan and team to do; as DJ said, TSC/Orange is still currently in prison and we don't know what's going to happen there; and I want them to get done with what they've been working on before anything else that 2% of the human population will understand in its entirety. It'd be another thing for me to nerdy-fanboy over, though.

[@Semfounifk]

I mean scott Buckley would definitely be the one who would be in charge right, haha also, if they make animation vs music Green should be the one in the animation, maybe he would suit the plot better than TSC@@lavender3609

[@mariustan9275]

How on Earth would something as Intangible as art be shown? Also they are technically already art because AvA is a product of human creativity. Also for subjects that DON'T have calculations how would that work? How would something like Animations vs Biology work?

[@constellationmaker135]

Animation vs. Animation would be hilarious

[@SILLY_SOUL]

Alan and his team doing intense math for an animation is insane 😮 hopefully someone on the team (like Alan and the other person who i didn't catch their name) is a math major

[@dannybozo]

2:56 calculators actually do divide by repeated subtraction like this. they usually have a failsafe to prevent them from spinning out when you divide by zero, but some old ones don't. you can find videos of people dividing by zero on electromechanical calculators where the calculator is just counting up really fast. I like how the video referenced that.

[@camdenprime5430]

Question, what do you think would have happen if 0 was divided by 0 in the animation?

[@jiqci]

@@camdenprime5430 I think - it'd result in one -0 phasing in and out of existence... or instantly jumpstart into higher math with multivariate functions

[@camdenprime5430]

@@jiqci My idea would be that if this is a calculator world, the world would break and a living Error word would fix it and reset the world. Like what we do when we need to fix a calculator after diving 0 by 0. I have a comment talking about a ending idea for this video somewhere involving this.

[@dojelnotmyrealname4018]

Actually, most modern calculators use the newton-raphson method to divide. They still have a failsafe for division by 0, but NR allows for solving division without having to deal with the division operation directly , and are also much faster.

[@nayutaito9421]

​@@camdenprime5430Repeated subtraction gives you 0 because it's already 0 when you start

[@roget1030]

I understood ALL of this, and loved every single frame

[@miner7879]

Just love how TSC literally went from making a simple equation, into a literal death star

[@massacremark6782]

I’m taking what DJ said as canon, but not as a mind palace, they just put TSC in a simulation/calculator. I also like the idea that TSC is gonna have math powers now since they still have symbols and units on them.

[@durdleduc8520]

it's funny since it's basically the same exact thing i thought when i first watched it.

[@MatthewMorris6148]

Wait wait wait. I’m going to go out in an extremely long limb here and say that the government like group has math powers. Maybe them freezing TCO and TSC is some form of dividing by 0? Like, they get stuck in place until the equation in complete, but since it’s never complete, they’re permanently stuck? Writing it out now makes it sound stupid, but I’m going to stick by it until proven otherwise.

[@INTERNECION101]

Yeah I thought TSC was in a calculator from the start

[@remingtonluther6693]

Maybe something happened and this was a void Maybe this is where victim was

[@franqvictoriano5725]

Alan said he wanted to see a math major to watch this, and my search was literally “mathematician reacts to animator vs math” lol, but sadly there was none.

[@simonscience5846]

My favorite part has to be when the e-mech turns the shot from the infinity gun into a limit bar (and the following completion of the mech), I love gravitas-packed moments and this is one that combines a bunch of different emotions but mainly frikken awesome ones. The entire animation is amazing too

[@Galaxies3000]

I showed this to a math friend of mine and he said that the way they started from a simple 1 to making highly technological weapons reminded him of the evolution of human kind.

[@sattkrit_pathak]

hmm a match student talking about evolution .... BIO OP

[@livethefuture2492]

Almost like an AI...

[@jmrabinez9254]

Damn... damn... I've never thought about that that way. Geez.

[@laurentmarcoux2144]

"math friend"

[@improbablyfur]

amount of friends = i (joke)

[@iamanunus9141]

It would be cool if Orange actually got to use his new-found math skills to make complicated calculations in the heat of battle later down the lore-line, giving himself an upper hand

[@NuggetOrBowtie]

that would be amazing

[@iamanunus9141]

@@NuggetOrBowtie We agree on something as people who dedicated their usernames to certain characters on the internet... its f*cking hilarious

[@NuggetOrBowtie]

@@iamanunus9141 thank you i guess

[@chanthachalmers8798]

Yeah and he also fights with e^(i×π)

[@Mikey04251]

Yo other people do this?

[@marklu5521]

Just to add, it goes slightly into linear algebra too, making the circle span in multiple dimensions, that was definitely a slick move.

[@syabilaazri7834]

I dont know why... but this episode feel like what would Alan would make back in the old days....

[@9nikola]

I doubt he'd be able to make this back in the old days

[@ventorikus]

maybe because of all of the bizzare flashbang lazers going on?

[@DamageMaximo]

yea

[@Totally_trustworthy_person]

I wonder why Second Coming was even sent to the Math World but the soundtrack is killer as always

[@MehernurCHOWDHURY]

why and how

[@DeadKorvo]

You know, knowing he was trapped in a cage in the episode "Wanted", they could be experimenting on him or something.

[@spyroxiv3918]

Alan left the calculator app open and yellow was messing with it. In the excitement to show someone pulls the closest stick figure (Second Coming) over and accidentally shoves them through the number window but, it’s a one way door easy to go in difficult to get out.

[@Iochris]

​@@DeadKorvoOr he could be imagining all this while in the jail.

[@balala7567]

my theory is that he's in the jail cell, and tried to get out but ended up pulling a math library out of the wall and fell into it

[@IdoStern-o3i]

The big object in the end is the first letter from the Hebrew alphabet: "א" Hebrew is my native language, and I'm not aware of any usage of it in math. When we got to the more complicated staff in math, we just used the English version I love your animation videos so much ❤

[@pepsicola2536]

This is so cool!! I hope Terkoiz can share his thought process behind the idea and how involved he was with all of the math concepts implemented, I would LOVE a behind the scenes for this episode specifically haha

[@dachosens1]

THIS

[@bookno255]

This was so epic! Amazing story, Terkoiz!! I love how multiplication/division/exponents/trig was explained! I wish I could've had those diagrams when I was learning those. I got a couple levels into calculus (and barely remember anything) and trig was never my strong point, so after the trig components started, I just started nodding along and saying "I think that makes sense?" Still love this so much :D

[@BoundlessLuminescence]

This isnt terkoiz its alan becker

[@bookno255]

@@BoundlessLuminescence Terkoiz was the writer for this episode :)

[@animationcity8178]

Holy crap I just realised the tan function gun would shoot out tan waves if you watch closely. The attention to detail is insane

[@extra_4473]

Im an 11th grade math and physics major and i just want to say this was so beautiful, the graph with the dot just melted my heart . This is the reason i love math so much, in mathematics, you seek perfection, you will never achieve it, but just close enough to satisfy your little universe

[@KadenzJade6447]

This whole animation makes me wanna imagine a series where people have access to a calculator dimension they can jump in where they can experiment math all they want because the whole realm accurately autocalculates everything they play with. And the storylines tackle about math as a logical concept contrasting the main characters being emotional humans who happen to have a fascination interest with math. And the fight scenes just being eyecandy for mathematicians like this video.

[@amylove4561]

I honestly REALLY like this animation. I just love how Orange is just messing around with some math and graphs and all that. It's just very interesting, educational, and makes math more cool!!! I wish that this was like an actual, playable game, so that I can be in Orange's shoes and mess around with math too!!! (maybe turn it into a vr game too, that would be insanely cool!!!)

[@MDT_Hazu]

The large constant seen at the end is an Aleph. Probably Aleph One if I had to make a guess. I watched the animation and then saw your guy's reaction to it. I knew most the context of the story. I did have to look up some information when it came to the Euler's number started firing factorials at Orange. This is an awesome animation. I loved every second!

[@DiggyPT]

It could be also aleph null (aleph zero)

[@MDT_Hazu]

@@DiggyPT I checked into it some more and I was wrong :p. I think you may be more correct

[@gardenshed6043]

Honestly I felt nostalgic for this. I remember the first time I heard the concept of imaginary numbers. Even earlier. When I heard the concept of negative numbers. When you’re still discovering everything about the world. It was so fun. And I never went to Uni for maths. But this about covers the extent of my maths knowledge from A Level Further Maths. That was fun.

[@nahjustaverage]

Send this to my Highschool Calc teacher. He showed it to us in class and explained everything.

[@cod3builder701]

10:46 As a math enthusiast, I can assure you: it's a lot more cooler when you know what's going on.

[@camdenprime5430]

I have a cool idea for a separate ending for the video. So, up until 10:20, everything would be the same. But when 2nd Coming/Orange notices the center point, he thinks about what happened when he divided a number by 0. So, he decides to create a barrier by dividing a number by 0. Then, he decides to try dividing 0 by 0 and -1/e realizes what Orange is about to do and breaks the equation to get to him, but Orange would activate the equation at the last second and the whole screen goes white with the word Error on the screen. The word would be alive and the E would look around and sigh, knowing that someone divided 0 by 0 again, and orders the Rs to open up the O panel and fix the problem. Then after that, they all get back into position and the world resets. With Orange waking up in the same place with a 1 floating above him. I call it, the ERROR ending. Sorry for writing a whole paragraph, but I really wanted to tell everyone my idea!

[@NooNahha]

The ERROR ending 👌

[@camdenprime5430]

@@NooNahha Yeah, that's better.

[@kevinotah]

Bro, that would be cool

[@Novastarsss]

I agree to DJ’s lore, he’s just stuck there learning math

[@yogeshranjan2825]

Listen people this is damn important.I want alan and his team to coperate with a game company and create a game out of this concept.Just imagine a game with it where you can explore math,have story and complete the story using math. This game could be revolutionary, it will change the whole perspective of math,it would have infinite possibilities.Pls like this comment and share this idea to make this concept of game real🥺pls

[@thegsp]

Being in uni on IT and having all the different maths (calculus, algorythms, imaginary numbers etc) gave me enough knowledge to really appreciate this whole video. While not being able to make sense out of everything fully, i still understood relatively why things happen (Euler's number being main one) and it really makes the whole video so much better. Edit: What i hate the most is 10:04 like this is too smart of a move, how dare y'all

[@lachlanmc2335]

Ikr when it compressed the wave into a limit to inifinity I had to rewatch that

[@Zahlen0]

THE GIANT ALEPH AT THE END IS MY FAVORITE. From what I recall, Aleph is a symbol that represents how big a set of infinity is, e.g. Aleph Null is the "smallest" infinity and represents how big the natural numbers are (1, 2, 3,... ). Clearly there are bigger infinities because there are clearly more integers (... -2, -1, 0, 1, 2,...) than there are natural numbers, and so there are infinities of different sizes. More specifically, when a set of numbers is Aleph Null, we mean that we can map each set of numbers of the Counting numbers. For example: the positive multiples of 2 are aleph null because we have a one to one correspondence between the natural numbers and the multiples of two like this: 2 goes to 1, 4 goes to 2, 6 goes to 3, etc. We're saying that each number in the set has a unique correspondance to the natural numbers, which means it is "countably infinite" because we can "count" the members in a systematic way like if we were to count them off.

[@thomaspark7080]

13:41 The upside down g or q thing is a the delta symbol, the e^ipi is a part of euler's identity where it equals -1, the tall thing I don't know, but the giant monster thing is an aleph. However I got stunned when I saw the circle with the straight line across it. It's the only one I didn't need to google search because I recognized it in certain bizarre manga. If I do my math properly and ride a horse, I can grant myself the power of infinity. So in conclusion math can give you godlike powers, powers that of or greater than the corpse of Jesus Christ, as shown in the animation and in this bizzare manga I read.

[@TheWorldsLargestOven]

The middle one is called Euler's identity The top one is Delta The one to the right is Zeta The one to the left is Phi And the giant one is Aleph-null

[@thomaspark7080]

@@TheWorldsLargestOven Thanks for telling me what the tall thing is. However, doesn't Aleph-null also have a zero next to it?

[@NightcoreWestia]

​@@thomaspark7080It might be Aleph itself, more like Aleph-n rather than null since Alan mentions that all of them are mathematical constants despite Aleph lacking the number to it.

[@YomActual]

It all started with One. It all has been with Euler. It all ended with Aleph.

[@eggymangry9706]

I watched this so many times, it was so cool! I like how you kept the math accurate while still finding a way to use it. Could you make a video reacting to fan made animations? I've seen some really good ones.

[@ReanimatedBlueJay]

I have barely managed to pass my math college courses and I'm a computer science major, this made sense more than most of my math classes so far. This was majorly impressive.

[@shanggosteen9804]

For anyone wondering sin cos and tan have nore in common with circles than right triangles, the graph for sin and cos are defined using a circle by using dots on its radius and a dot on its center to make a right triangle and define the trigonometric functions, the graph is a visual represents of the dot circling around the circle and which satisfies the function for sin and cos, the aleph null at the end was pretty funny because what aleph null is is the smallest infinity, which is essentially an infinite series of all the integers on the number line

[@LoxyTheReindeer]

Bro if this was how they taught math in school, like less of a “study x formula for y test” and more of “frick around and find out.” I would’ve learned so much more.

[@SirNobleIZH]

In case you were wondering, the reason the guy disappeared at the end is because e added the i back into its exponent, which turned the equation into -1, thus closing the circle into non-existence

[@princedest1ny]

DJ at the start of the video: This is straight up math. DJ at the end of the video: We went from addition... to this. As for where I fall off... I know snippets of math from here to there. I know about the golden ratio(the circle with the line through it at the end), i is the square root of negative 1, aleph(the massive N thing, it is essentially an infinity, with aleph null being the smallest), sin waves, radians etc. but the more specialised stuff(eulers number, the strange E/3 greek letter thing) I don't. Also I'm 15.

[@electrocubic5116]

The circle with a line through it at 13:44 is called "Phi". It's another symbol used to denote angles just like Theta.

[@thedarklord-bh9kq]

e^iπ= -1 and the Greek letter snake thing is Zeta but idk about it’s use yet

[@lachlanmc2335]

​@@thedarklord-bh9kqRiemann would like a word with you, something about primes

[@johns6014]

N (The giant "N" at the end) represents all "Natural Numbers"; basically, it's the subset of infinity that contains all positive integers. 1, 2, 3, and so on, infinitely. In a world of anthropomorphic mathematics, it would be a titan, albeit one of the smaller ones - if not the smallest one. I have a minor in mathematics, and all of this was at least familiar to me. I haven't done anything too deep with math since before I graduated though, and that was several years ago, so I'm fuzzy on some of the more advanced aspects, but I could at least recognize what was happening and why - although there was so much going on that it took a few rewatches to catch most of it. This was honestly one of the most creative videos that I've ever seen, and it's easily the most creative application of "raw" math that I know of. That's saying something, considering the fact that this only touched on a few aspects of mathematics, but didn't delve too deep, if at all, into things like integrals, derivatives, sets, graphing beyond circles and sine waves, planes and multivariable calculus, linear algebra, logarithms, kinematics, probabilities and permutations, theoretical mathematics, and so on. There's definitely room to grow with this series, although you would definitely need someone who knew what they were doing to help you along.

[@kythriis_on_yt]

Imagine if what DJ said was actually true, that this is canon to the previous episode with The Chosen One. The Second Coming may have powers via the Calculator application rather than the Animator application in that episode.

[@Mcmaster64]

You’re a goddamn genius

[@theblackvoid]

And the funny thing is, TSC still hasn't explored most of the different types of functions on a graph (and ways to manipulate them), which makes it even better, because he'll have even more weapons in his arsenal to use against the grey animators (if this is canonically linked).

[@just-apt]

TSC is like a little kid who is interested in Math until he discovers harder sums.

[@supersmily5811]

I think probably the biggest mind blow of this whole thing is the realization that terkoiz works for Alan now! Hi terkoiz! I liked your stuff! :)

[@heinoussage]

we need terkoiz to explain this entire story and how the math works, id love it even more knowing the context

[@gasterstickmin]

NO WAY WE GOT SPOILED AGAIN

[@josephfield6969]

Perks of AvG

[@hayond656]

They post this so fast

[@YepImKiwi]

Spoiler VS animation

[@HienNguyen142Dat]

No

[@ethanalvarez3458]

Wasn't a math major but I couldn't stop watching the video once I started. Chemical Engineering major but now I'm in finance because I love investing and researching/due diligence on company's so I'll be able to retire early. Video was awesome

[@Whyismylifelukethis]

Ikr

[@TerrinX]

10:15 - "Dark Souls Boss" but legitimately can this be a made into game? Imagine how stoked people would be to do math and play an awesome battle game

[@Noober_0]

Dark Math

[@KeiraSamson]

OMFG PLEASEEE

[@improbablyfur]

battling by doing math questions in a certain amount of time, unlocks new numbers and stuff and can used to combo

[@Rightsideup23]

I had to slow down for some bits, but I understood most of what was going on. The attention to detail in this is incredible! Also, the black background gives some real 3b1b vibes. I have no idea if that was intentional or not, but either way, it's awesome. I love math, and I love your animations. Put them together, and you have no idea how thrilled I am.

[@Rightsideup23]

Also, I'm a math major, and I was smiling the whole time. Most of us have do have emotions, lol!

[@andresxj1]

@@Rightsideup23 Same. I too have the ability to emote.

[@sarah12232]

3b1b actually saw and commented on the original video

[@alessandro7871-k7k]

As a Physics college student: I love this one, probably the best thing I've ever seen on KZbin. Amazing job!

[@kostasmeimetis9087]

I can't imagine how long this took to make

[@ShimmeringVapidCoal]

I can't imagine how much Math they had to do

[@youssef1770]

​@@ShimmeringVapidCoalcant imagine how much brian power they needed to understand all that math😭

[@ShimmeringVapidCoal]

@@youssef1770 Unfortunately, my name isn't Brian, so I don't understand any of this

[@bucketmusicreal]

@@ShimmeringVapidCoal he probably just misspelled brain

[@ShimmeringVapidCoal]

@@bucketmusicreal Same thing, my name isn't Brain either

[@IslaKariese]

Can you imagine how many "Math Major Reacts to Animation Vs. Math" videos are gonna crop up after this?

[@angelaeisenbraun4104]

"how many communions do you need to take before you've eaten one jesus." -DJ

[@birrbie]

I was looking for this comment

[@sniffersniff]

I love that AVG posted while in Alan's account, it's streaming, or whatever that is called again.

[@autisticOSCfan]

Premiere. That’s what it’s called.

[@Ethans_galaxy_12]

They reacted to it before it was released

[@sniffersniff]

@perapeplol you said that 4 times.

[@InfiniVideos]

Euler's rule/equation, and something used in shapes, like 3d and 2d Shapes, which is like this: A(edges)+F(Faces)=V(Vertices)+2,alan i like how you are like,powering kids imagination and interest by math.

[@lulusnap]

?

[@oceanrandomness]

4:50 *MAY THE POWER OF MATH COMPEL YOU*

[@Dorkfish19]

Now it’s time for everybody’s favorite subject. MATH!

[@zoefloresvillanueva8482]

Oh no it's baldi😂

[@hayond656]

📏

[@outflame3040]

then you start to hear the sound of the ruler

[@lokyinng5155]

​@perapeplolshove aleph null as answer in every question

[@stargazer-elite]

That’s literally the first thing I thought of when watching the original video “Welcome to baldis basics in education and learning THATS ME”

[@pragatisachdeva5961]

this is how people will be motivated to learn math,you have made a masterpiece Alan,you need to continue this with math and other subjects

[@TTD4]

DJ, I thought I would add that the massive thing was the symbol for Aleph , representing infinities (Starting with aleph null, then aleph 1, aleph 2, and so on) which is why it was so massive. 13:55

[@BromeoWuggles]

13:55 I believe that giant thing is an “aleph” or a type of infinity, someone do correct me if I’m wrong though

[@Iochris]

Yes aleph is a type of infinity.

[@The_Loaifs]

The smallest infinity we can count

[@Eclipse_275]

​@@The_LoaifsI'm a little less scared of the physical version of an aleph and more scared of whatever the fuck is bigger than that

[@The_Loaifs]

@@Eclipse_275 I think there is but I forgot

[@NightcoreWestia]

​@@Eclipse_275Omega's and stuff.

[@the17thvoyager89]

I understood a good amount of this. I took Precalculus but didn’t formally go any further than that so I “fell off” when it started introducing full calculus function equations. Still, the mechanics of it were fairly to infer even after that point and I believe it was accurate

[@emeraldsdumbchannel]

Great To See Even The Stickmen Love Math.

[@F2PAlius]

I love how the cannon that orange shoots at Euler's number is basically cancelling out the number.

[@camdenprime5430]

Yeah, was not expecting that, or the death star radiance.

[@giantsquid7878]

As someone who fences I loved when tsc was using the curve line as a fencing sword

[@JediJess1]

I think we would love it if your lead animator did a breakdown collaborative video with Matt Parker or 3blue1brown about this video. So many math fans would love it so much (myself included)

[@TiagoMonteiroArt]

12:31 I only got it now, that he was typing "exit". :O I'm in the same situation as DJ, trying to understand all the numbers and formulas I can't instantly shift into reading words. xD

[@ItsMe-vd1qs]

14:33 to answer the question it was at radius and then at =f(•). Orange is just a fun character to watch.

[@44Hd22]

13:20 he is in his calculator and the e will come out when the calculator gets used.

[@PumpkinatorZ]

i am convinced that this is actually a test for TSC and the agents guys are just seeing how smart he is

[@tanhrs8711]

The big scary thing at the end was the symbol to represent something bigger than infinite (yes it exists)

[@DJ_Spektronazum]

It's called "Aleph" and yes it exist

[@HiveEclipse001]

Can someone build a Math Machine that can do something like this? Would really appreciate it. UPDT: Thanks for 42 likes! It says 43 because I liked my own post.

[@arciantum]

I'd love a calculator like this

[@EJConnerPJE]

that would be cool

[@DeletedDevilDeletedAngel]

its gonna be alot of scripting, especially the dot being deattached from the "i" that can be used for graphs

[@Yazan_Majdalawi]

A VR calculator, hmm..

[@HiveEclipse001]

​@@DeletedDevilDeletedAngel you could make them two separate items and then join them into a group for the i

[@alexanim8or]

I would be way smarter if teachers taught Math like this

[@supermanb9]

Im graduated as an electric engineer a few years ago, and this gave me flash backs. Love the Laplace and Dirac teasers at the end for diff eq

[@literallynothing4893]

Ok but serious suggestion: DJ had the idea of TSC waking up in the jail cell after this, and I think it would be so cool to see him use math to combat the stickmen who captured him.

[@user-iGb]

10:11 the final boss of math 🧠

[@Eclipse_275]

Nah it's either the giant sinusoi blast that TSC does or the giant aleph

[@tetra6354]

8:54 Alan: "Yeah, we don't expect 99% of people to understand all the math in this" Me, being a 3rd grader: "you have underestimated my skills."

[@OmegaCat9999]

14:00 Thats just Aleph Null. It equals the sum of all real numbers. Also, I got 90% of it without a math major.

[@NightcoreWestia]

It's not Aleph Null, it's only Aleph with no number depicting it's level, no?

[@OmegaCat9999]

@@NightcoreWestia Oh yea...

[@B58-Minecraft]

Aleph-null is the cardinality of natural numbers Aleph-one is the cardinality of real numbers Sum is different from cardinality

[@JezElectroAlt]

5:18 Orange/TSC: You can't beat me! I have power of Math AND Anime on my side! (sorry, i couldn't resist doing this joke)

[@victorelazarzakzak]

Its ok

[@zeethakur1154]

I absolutely empathized with a stick guy. He lived the exact 20 years of my life finding all those intriguing things. ❤ The emotions were just overflowing through him! 😂😂😂 When e just put him in the bubble, I totally lost it. Then e just high fives his buddies at the end like "Got another one."

[@Tuffadandem]

As a Mathematics Major, this is truly BEAUTIFUL!!! I was in legit tears seeing this!!!!

[@KeiraSamson]

… really?

[@Solesteam]

13:28 I figured this was just the calculator app, and that orange fell asleep on it and fell in.

[@cycrothelargeplanet]

12:37 Most creative way to write exit I've ever seen

[@misvin]

this would make an absolutely insane vr game. Like even without the fighting stuff this is an insane way to have a calculator

[@EmoHyuseWT]

As a Filipino student, I am very interested in more of calculus lessons about the limits, the cosine, tangent relationships and even the use of infinity symbol on such equations, it symbolises that math can be complicated but it can be explorable by learning step-by-step from operations, to finding the x, to the complicated calculus, I like it😁

[@lukethekuya]

Mabuhay

[@NallenRose]

YOOOO, FELLOW PINOY LETS GOOO

[@TheFilipinoPhil]

Agreed math gets quite interesting