Animation Vs Math | AvG Reacts 

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

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.

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.

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.”

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.

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

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

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

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.

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

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

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

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

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

I understood ALL of this, and loved every single frame

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

As an engineering student who takes some major subjects related to math, this is very accurate. Math can be fun but sometimes complicated to understand how to solve it lol. 😁👍

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

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 ❤

0:42 "I didn't even do calculus" *Made a video that not only uses calculus (integrals), but goes into higher level math (Taylor Series Expansion, Complex Analysis, etc*

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)

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.

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

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.

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_ .

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.

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!!!)

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

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.

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.

If you were to make this into a game and the story line progresses when you learn more math , but the only way to learn more math is if the player solves actual problems, the game would be educational and fun. Overall this is an amazing concept🔥

Keep up the good work, Alan! Keep up the good reactions, DJ!

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.

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

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

For anyone wondering the giant thing at the end is aleph or aleph null which can be used to represent all numbers or in other words it is a representation of an infinity

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

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

There are some actually amazing videos that go over all the math in the video

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

11:45 When the portal breaks, its actually the boundary between real and complex nummbers, so he needs to get out of there and escape into reality. Square Roots having negative numbers are complex/imaginary/non-real.

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

8:02 got me rolling on the floor

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

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

As someone who just barely grasps Calc2, I found this animation hilarious. The points I couldn't rationalize I simply had to rest in the knowledge that someone way smarter than me made this XD

no joke this animation literally made me understand math i was always confused on how math works and this single video made math look easy as hell

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

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

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

I absolutely loved the concept of the 2x2 bow

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

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!

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.

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

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.

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

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

the giant gray thing at 13:53 is "Aleph" since its the smallest cardinal infinity, its REALLY big.

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.

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

Nice video guys and I love this so much :]

In mathematics, Euler's identity is the equality where e is Euler's number, the base of natural logarithms, i is the imaginary unit, which by definition satisfies i² = −1, and π is pi, the ratio of the circumference of a circle to its diameter. Euler's identity is named after the Swiss mathematician Leo. Formula e^{i\pi} = -1 e = Euler's number i = imaginary unit \pi = the number pi

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

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

As someone who just enjoys math for the sake of it, I loved this video

It's pretty fun to try to figure out what some of this stuff is and it's weird that i know almost all of this

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!

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.

Not a math major or an employed mathematician, but I've "fixed" enough math major's computers to understand most of the equations in play. Or in other words, most of the "Help this isn't working" were not hardware or software faults, but errors in data entry and formula. So thanks to a profitable youth telling Math Majors their figures were broken, not the time share university computer, I followed most of the equations fairly well until the last set of symbols. What really took me by surprise though was the Wave generation and the extrapolations, reminding me of "show your work." If math was taught in such a way where the work is/was visualized it likely would be easier for more people to understand.

The music for this episode is really awesome.

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.

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.

Bruh. This was beautiful and it was so accurate 🤩

The symbols is called Delta, Phi, Zeta, And For the big one is called Aleph

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.

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

That was Hollywood like ! It has everything and it was totally MIND BLOWING ! I thing i start crying now, maybe it describe HOW GOOD THIS WAS !

Now i want a video game of this animation, like collecting different numbers and math icons to design math problems that you fight stuff with

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

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

I showed this to my friend, he’s a math teacher. And he loved it!

When you come across knowledge like this, it’s like it kind of all comes flooding back after you forgot most of it

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

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

I understood everything up until the “send-off”. Had no idea that n-dimensional unit circles were a defined concept until watching an analysis of the video. That being said, my only gripe is that there wasn’t MORE. I would love to see more of this mathemagical world, especially things “exploding” outwards. Hell, a contest similar to what created Rayo’s number might be a fun video idea, two+ opponents trying to make the biggest non-infinite number they can.

I understood this!! It’s very elegant and informative to a keen eye

Btw for your question DJ the huge graph in the background is aliph-nol. Its Equal to the amount of all even and odd numbers.

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

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

You guys should do one with physics too!

this is absolute insane keep it up

NO WAY WE GOT SPOILED AGAIN

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

I use to know what the >e< was then I forgot😂

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

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

I can't imagine how long this took to make

all of it makes sense (btw you should make a part two when he returns to the math plains and solving impossible equations)

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