Animation vs. Math
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- Опубликовано: 23 июн 2023
- How much of this math do you know?
🖐 ASK ME ANYTHING! ► ruclips.net/user/noogai89join
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🕹️ANIMATORS VS GAMES ► @AnimatorsVSGames
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✏️TWITTER ► / alanthebecker
🔹🔶 WRITTEN BY 🔶🔹
Terkoiz
🔹🔶 ANIMATION🔶🔹
Terkoiz
n8ster @n8sterAnimates
Ellis02 @Ellis02Media
Hexal @Hexalhaxel
Oxob @oxob3000
ARC @ARCpersona
SmoilySheep @smoilysheep4670
CoreAdro @CoreAdro
SimpleFox @SimpleFox1
ExcelD
eds! @eds7236
ajanim@ajanimm
Fordz @Fordz
🔹🔶 SOUND DESIGN🔶🔹
Egor / e_soundwork
🔹🔶 EDITOR🔶🔹
Pepper @dan_loeb
🔹🔶 MUSIC🔶🔹
Scott Buckley @ScottBuckley
🔹🔶 PRODUCTION MANAGER🔶🔹
Hatena360 @hatena360 
Кино
To be clear, my lead animator is the math nerd behind all this. And as always, watch DJ and I talk about it: ruclips.net/video/dRj3X7IFCjY/видео.html
Woah
Edit: i was about to say first but i remember i have a brain.
Edit 2: Wow many likes anyway here is a recipe for brownies and uh idk just make a brownie here it is: 10 tablespoons (142 grams) unsalted butter
1 cup (200 grams) granulated sugar
1/3 cup (67 grams) packed light brown sugar
3/4 cup plus 2 tablespoons (88 grams) unsweetened cocoa powder, sifted
1/2 teaspoon vanilla extract
2 large eggs plus 1 egg yolk
1 tablespoon corn syrup
2/3 cup (85 grams) all-purpose flour
1 tablespoon cornstarch
1/4 teaspoon salt
For the frosting:
1/2 cup heavy cream
1 1/2 cups (255 grams) semisweet chocolate chips
Wilton Rainbow Chip Crunch or mini M&M’s, sprinkles, or other candy
Yoo pogchamp
@@Emirhanoleo78hi
hi alan
1 minute lol
If you could turn this format into a video game, you'd have an incredibly powerful tool to teach kids math.
imagine
Just to add to this I went and learned eulers identity is after wondering why E to pi I was so crazy
@@jesseweber5318me too, i had no idea
Like minecraft?
@@rickt.3663 you mean, Minecraft Education edition?
Utterly delightful!
yo legit thought you collabed on this or smthn haha
Hi there Mr. Pi
Yoooo it's the math guy
i KNEW 3b1b would comment
Hello
never in my life would I have ever thought I would see something tactically reload a math formula...
And then replace the magazine with infinity
I love the surprise Euler identity early on when just playing with simple addition and subtraction, because it’s just like when your playing with a simple concept in math and stumble across something bizzare/that you have no clue how to understand yet.
it really so be like that though, our modern basic maths require way more complicated maths we don't even begin to understand until much later on
I love how he goes from learning basic operations to university level maths
Evening at home myc myself
We are learning most of this in 9th grade
@@ferferarry5242 key phrase: “most of”
bruh, you guys think this is uni-level math... damn
@idk-lz4nl Most of this is high school level, though the stuff in the last quarter is more common in universities.
0:07 introduction to numbers
0:11 equations
0:20 addition
1:24 subtraction
1:34 negative numbers
1:40 e^i*pi = -1, euler's identity
2:16 two negatives cancellation
2:24 multiplication
2:29 the commutative property
2:29 equivalent multiplications
2:35 division
2:37 second division symbol
2:49 division by zero is indeterminate
3:05 Indices/Powers
3:39 One of the laws of indices. Radicals introcuced.
3:43 Irrational Number
3:50 Imaginary numbers
3:59 i^2 = -1
4:01 1^3 = -i = i * -1 = ie^-i*pi
4:02 one of euler's formulas, it equals -1
5:18 Introduction to the complex plane
5:36 Every point with a distance of one from the origin on the complex plane
5:40 radians, a unit of measurement for angles in the complex plane
6:39 circumference / diameter = pi
6:49 sine wave
6:56 cosine wave
7:02 sin^2(θ) + cos^2(θ) = 1
7:19 again, euler's formula
7:35 another one of euler's identities
8:25 it just simplifies to 1 + 1/i
8:32 sin (θ) / cos (θ) = tan (θ)
9:29 infinity.
9:59 limit as x goes to infinity
10:00 reduced to an integral
11:27 the imaginary world
13:04 Gamma(x) = (x-1)!
13:36 zeta, delta and phi
13:46 aleph
30 likes and no replies let me fixed that😊
Yep the pretty much it
Man this makes me wanna learn math more
alan should put this in the video.
I need to know what types TSC is using
@@xvie_z2900fax I wanna understand everything in this video
10:45 orange you've been here for 11 minutes and you've already made a all destroying death laser out of math how
Because Math, that's how!
@@month32 ....
Just imagine Yellow
That's all the time TSC needed to master the mathemagic system
2:48 NEVER divide ANY number by zero.
Haha
This man just gave the sentence “imagine maths are a videogame” a whole new meaning
There is a math game called Baldi’s basics
And the sentence of "imagine math is weaponized"
...You could pick up the sword, the bow, or the arrow...
Obscure reference :)
@@autumn_sunday Gumball reference moment
Video games are made through math.
The reason why I love this series so much isn't just because of the animation and choreography, but because rules of how the world works are established and are never broken. Regardless of how absurd fight scenes play out there's a careful balance to ensure that not a single rule is broken.
Absolutely. The limitations create room for playing around within them. Combat feels just as much of a battle of wits, finding the right application for a tool, as a contest of strength.
I know! It’s incredible how he can just add world building in and make it so believable
You clearly haven't seen the Minecraft series yet have you? "Fall damage goes brrrrr"
@@captainsprinkles6557 Fall damage is present, and it’s relatively consistent. It’s just less severe for rule of cool.
@@dragoknight589 Less severe? Man they jump off multiple cliffs
7:53 Euler's Identity really released their Domain Expansion
10:33 Domain Expansion, Infinity Zero.
This needs like 10 games, 3 books, a Netflix series, a movie on Disney+ and Dreamworks, and way more
YES!
IDK half of the things that you need to understand this 😕 🤔
This is already that but better ngl
Why is it always like this? 4:04
I would literally go insane if that happened.
The fact that Alan and his team are the first to make math look insane in animation speaks cm3 volumes....
@@kingsrevenge9234Your message is undermined when you post it to literally everyone without changing a single thing
True
@catassistant3365 it's just a bot, best thing to do is just ignore and report it for spam
This is the greatest video ever made
Wow. This animation is as cool as reality if I had to rate it it will be 10/10👍
My favorite part is when orange made an orbital death laser to kill a math equation
It speaks to Alan and his team’s talent on a number of levels that they can even make me feel sympathy for Euler’s number.
Now all we need is natural logs in minecraft vs animation 😅
He is on another dimension, not on another level anymore
Finally, somebody said what it’s called so I can look up what the antagonist actually is.
Ironically enough, this is the first time I’ve utilized my calculus knowledge outside of school hahaha
@@FletchableEven though I use lot’s of this stuff daily (I’m a programmer) I’d literally never heard it called Euler’s number before this animation lol.
The sound design is a masterclass on its own
Legitimately, everything has such a nice clack to it, it's half the reason for why it's so satisfying to watch
@@FotoStudios418 Facts
All of the clicks and clacks make the video infinitely better
This is something history of mathematics will remember forever. This is GOLD.
"mathematics prepares you for life":
8:29 -Someone breaks into my house.
To the math nerd that did the equation and to the animator, heavily respected
especially in that mech section
pp entry looks pretty accurate lmao
bro both are the same person
There is literally a pinned comment saying the lead animator did the math-
DJ did it all.
I like how Alan didn’t go for a “Brains vs. Brawn” approach, and instead just made a fight to the death with math terms
Hrklo
Hrklo
Hrklo
Hrklo
Hrklo
fun fact: TSC knew what minus and plus was, because he would place/break blocks and it would increase or decrease
1:02 TSC is just like "Yay!!... What did I accomplish?"
TRIPLE DIGITS!!!!! PARTY!!!
Can we just appreciate how TSC went from basic addition to the far end of Calculus in under twenty minutes. That is a hell of a learning curve.
15+6=21
@@user-eb5bn9xh9w 9 + 10 = 21
@@anicepixelatedbread 2+1 = 21
@@anicepixelatedbread cos(x) = (e^ix + e^-ix)/2
0=ax²+bx+c
As a mathematician AND a fan of Alan's works, I can't describe how happy I am.
Same here bro
Too bad that i understood no shit related to maths after 3:52
The addition of enjoyment was worth the subtraction of time from my day. I have shown It to multiple people and none are divided on how good this is.
@@grandevirtude9830same
@@grandevirtude9830imagine
The antagonist “e” is why kids are afraid of math
10:02 WAAAAAAAH!
An animation masterpiece ✅
A cinematic masterpiece ✅
A mathematical masterpiece ✅
A physics masterpiece ✅
Cinematography ✅
Sound design ✅
Everything is so perfect
@@ultraactiveGDust another bot, ignore him
how is this physics
Fr
Worm
Can't wait for all the math channels to do breakdowns of this video. It's incredible how much is packed in here.
My school teacher would be good at this until the like, last 25% of the video, then he probably would have gotten nightmares, same as me, can't wait too
Even in a slowmode /100 i'm not sure you would have time to explain everything 😄
@@etakiwarp I wanted to check the math in the video and I had to use frame advance in some scenes.
i came here from a breakdown of the video
Cancelling Infinity using Limits.
That is beyond genius!
I love how the Internet is being used this way. not abused♥️
The sound design here is simply masterful, and makes the whole thing feel physical and *very* satisfying.
It shows how the stick figure adapt and try to minimize at 1:15
True
I don’t understand the last part
It sounds like a movie, its awesome
I’m 699 like
This is actually insane. Having just graduated as a math major and honestly being burnt out by math in general, being able to follow everything going on in this video and seeing how you turn all the visualizations into something epic really made my day. Can’t help but pause every few minutes. GET THIS MAN A WHOLE ASS STUDIO.
He has an entire crew working with him
He does have a WHOLE ASS BUILDING
Yeah😂
I can only understand a bit.
...and at the end, in comes the zeta function
As a general nerd myself, and especially a math nerd: This video was awesome 🤓😄
Whoever made this deserves a Nobel prize
So far, this is the best action movie in 2023!
Adu anh vfact học toán
Video mới là gì thế anh zai
I can’t believe Alan is making his own Number lore now… ✊
Hey, không nghĩ tôi sẽ gặp kênh yêu thích của mình ở đây. Giữ gìn sức khoẻ và nếu có thể thì có thể làm về vũ trụ được không, video này làm tôi có hứng về vũ trụ học.
Yes
*THE MATH LORE*
0:07 The simplest way to start -- 1 is given axiomatically as the first *natural number* (though in some Analysis texts, they state first that 0 is a natural number)
0:13 *Equality* -- First relationship between two objects you learn in a math class.
0:19 *Addition* -- First of the four fundamental arithmetic operations.
0:27 Repeated addition of 1s, which is how we define the rest of the naturals in set theory; also a foreshadowing for multiplication.
0:49 Addition with numbers other than 1, which can be defined using what we know with adding 1s. (proof omitted)
1:23 *Subtraction* -- Second of the four arithmetic operations.
1:34 Our first *negative number!* Which can also be expressed as *e^(i*pi),* a result of extending the domain of the *Taylor series* for e^x (\sum x^n/n!) to the *complex numbers.*
1:49 e^(i*pi) multiplying itself by i, which opens a door to the... imaginary realm? Also alludes to the fact that Orange is actually in the real realm. How can TSC get to the quantity again now?
2:12 Repeated subtraction of 1s, similar to what was done with the naturals.
2:16 Negative times a negative gives positive.
2:24 *Multiplication,* and an interpretation of it by repeated addition or any operation.
2:27 Commutative property of multiplication, and the factors of 12.
2:35 *Division,* the final arithmetic operation; also very nice to show that - and / are as related to each other as + and x!
2:37 Division as counting the number of repeated subtractions to zero.
2:49 Division by zero and why it doesn't make sense. Surprised that TSC didn't create a black hole out of that.
3:04 *Exponentiation* as repeated multiplication.
3:15 How higher exponents corresponds to geometric dimension.
3:29 Anything non-zero to the zeroth power is 1.
3:31 Negative exponents! And how it relates to fractions and division.
3:37 Fractional exponents and *square roots!* We're getting closer now...
3:43 Decimal expansion of *irrational numbers* (like sqrt(2)) is irregular. (I avoid saying "infinite" since technically every real number has an infinite decimal expansion...)
3:49 sqrt(-1) gives the *imaginary number i,* which is first defined by the property i^2 = -1.
3:57 Adding and multiplying complex numbers works according to what we know.
4:00 i^3 is -i, which of course gives us i*e^(i*pi)!
4:14 Refer to 3:49
4:16 *Euler's formula* with x = pi! The formula can be shown by rearranging the Taylor series for e^x.
4:20 Small detail: Getting hit by the negative sign changes TSC's direction, another allusion to the complex plane!
4:22 e^(i*pi) to e^0 corresponds to the motion along the unit circle on the complex plane.
4:44 The +1/-1 "saber" hit each other to give out "0" sparks.
4:49 -4 saber hits +1 saber to change to -3, etc.
4:53 2+2 crossbow fires out 4 arrows.
4:55 4 arrow hits the division sign, aligning with pi to give e^(i*pi/4), propelling it pi/4 radians round the unit circle.
5:06 TSC propelling himself by multiplying i, rotating pi radians around the unit circle.
5:18 TSC's discovery of the *complex plane* (finally!) 5:21 The imaginary axis; 5:28 the real axis.
5:33 The unit circle in its barest form.
5:38 2*pi radians in a circle.
5:46 How the *radian* is defined -- the angle in a unit circle spanning an arc of length 1.
5:58 r*theta -- the formula for the length of an arc with angle theta in a circle with radius r.
6:34 For a unit circle, theta / r is simply the angle.
6:38 Halfway around the circle is exactly pi radians.
6:49 How the *sine and cosine functions* relate to the anticlockwise rotation around the unit circle -- sin(x) equals the y-coordinate, cos(x) equals to the x-coordinate.
7:09 Rotation of sin(x) allows for visualization of the displacement between sin(x) and cos(x).
7:18 Refer to 4:16
7:28 Changing the exponent by multiples of pi to propel itself in various directions.
7:34 A new form!? The Taylor series of e^x with x=i*pi. Now it's got infinite ammo!? Also like that the ammo leaves the decimal expansion of each of the terms as its ballistic markings.
7:49 The volume of a cylinder with area pi r^2 and height 8.
7:53 An exercise for the reader (haha)
8:03 Refer to 4:20
8:25 cos(x) and sin(x) in terms of e^(ix)
8:33 -This part I do not understand, unfortunately...- TSC creating a "function" gun f(x) = 9tan(pi*x), so that shooting at e^(i*pi) results in f(e^(i*pi))= f(-1) = 0. (Thanks to @anerdwithaswitch9686 for the explanation -- it was the only interpretation that made sense to me; still cannot explain the arrow though, but this is probably sufficient enough for this haha)
9:03 Refer to 5:06
9:38 The "function" gun, now "evaluating" at infinity, expands the real space (which is a vector space) by increasing one dimension each time, i.e. the span of the real space expands to R^2, R^3, etc.
9:48 log((1-i)/(1+i)) = -i*pi/2, and multiplying by 2i^2 = -2 gives i*pi again.
9:58 Blocking the "infinity" beam by shortening the intervals and taking the limit, not quite the exact definition of the Riemann integral but close enough for this lol
10:17 Translating the circle by 9i, moving it up the imaginary axis
10:36 The "displacement" beam strikes again! Refer to 7:09
11:26 Now you're in the imaginary realm.
12:16 "How do I get out of here?"
12:28 -Don't quite get this one...- Says "exit" with 't' being just a half-hidden pi (thanks @user-or5yo4gz9r for that)
13:03 n! in the denominator expands to the *gamma function,* a common extension of the factorial function to non-integers.
13:05 Substitution of the iterator from n to 2n, changing the expression of the summands. The summand is the formula for the volume of the *n-dimensional hypersphere* with radius 1. (Thanks @brycethurston3569 for the heads-up; you were close in your description!)
13:32 Zeta (most known as part of the *Zeta function* in Analysis) joins in, along with Phi (the *golden ratio)* and Delta (commonly used to represent a small quantity in Analysis)
13:46 Love it -- Aleph (most known as part of *Aleph-null,* representing the smallest infinity) looming in the background.
Welp that's it! In my eyes anyway. Anything I missed?
The nth Edit: Thanks to the comment section for your support! It definitely helps being a math major to be able to write this out of passion. Do keep the suggestions coming as I refine the descriptions!
hey, are you my teacher?
Nice lore.
I will be waiting for your part 2!
Please continue dude, till end. I confused about the end of the video.
Do everything pls.
This taught me math better and faster than 12 years of school ever did
Insane video...
Describes what maths is doing under the hood.... DESTRUCTION!!!
I can see math teachers showing us this video in the future. It's entirely possible. For Grapic Design, our teacher showed us the very first Animator vs. Animation video. And wanted us to see if we could make something similar. That was basically our biggest semester project.
I was always curious about that. My sister did creative tech at uni, and I keep thinking these videos would be brilliant to showcase as examples.
Can I be in your class bro
@themisleadingpath4692 I graduated already, lol. But I can head to my school and put in a good name for you /j
My math teacher teaches with fun students just don't understand themselves and blame her that her teaching is very poor they always talks (I understand math very well by her)
I thought yellow would be in it cause he is a red stone scientist so he would know the simple math😊
This feels like it should win some kind of award. Not even joking this is gonna blow up in the academic sphere. People are gonna show this to their classes from Elementary all the way through college. I don't know if people realize just how powerful of a video you've created. This is incredible. You've literally collected the infinity stones. This is Art at its absolute peak. Bravo.
This reminds me that in Geography Class, the teacher showed us Yakko's World Country Song from _Animaniacs._
I guarantee Maths teachers will be showing this to their students for decades to come.
❤
I agree!
That’s exactly what I was thinking
That’s actually true
12th standard nostalgia in the most epic cinematic way possible!
Thank you so much for this experience.
If you look closely, the bow is made up of a 2, x, and 2, and the arrow is 4. Genius
I've never seen anything so mathematically accurate while also entertaining.
now it is explained how the "chosen one" went to this reality
No appreciation for proofs?
E
3b1b
@@sehr.geheimhe's basically a vector figure, a being made of numbers, to put it in short, he's basically math itself so to speak.
The ending really conveys that maths does not have limits.
But it does in calculus :)
@@h20dynamoisdawae37 well, the continuum hypothesis really supports your opinion and also rejects it.
6
@@sameelshamnad6142I think they’re talking about literal limits, e.g the one found in the definition of derivative
@@user-lx1yg6ey6h This Is Delta δ Okay?
No way did I just get goosebumps from a video about math.
Your animation is so well made and nice, I showed it to my math teacher and he basically used it to make his lesson. Wish there will be more of Animation vs Math !
As a person who has taken calculus, I can confirm we fight bosses every day in math class.
😂
OMG 🤣
Too true
i can agree with this ap calculus was scary
as a person just started took it and failed and going to take next year nothings changed
I think the sound design is quite an underrated highlight of this animation. The bleeping and clicking as everything falls into place is so satisfying to listen to.
I completely agree
+
Yes, I agree too.
Egor is too good in sound design and animation
Barely anyone talks about sound design in general. Whenever people release an animation or something with great sound design they just take it for granted and continue to laud the animators
I wish the AP Calculus exam was like this.
bro you just show the beauty of mathematics.
I really love this video and physics video was also the most amazing animation video I ever watched.
I think this just proves TSC is smarter than anyone alive. He just absorbed, learned, and utilized in combat 14 years worth of math learning in just 14 minutes.
Bro became Einstein by examining with numbers and stuff
Several hundred years if we're being real here. Math is a culmination of Humanity's Effort.
@@Aku_Cyclone ???????
@@PurpleHeartE54:/
@@Redanimations424 It's facts though.
If math lessons were like this, math would for sure be everyone’s favorite subject
Edit: well, this blew up fast. Thanks!
Math is beauty, if not you just not understand it very well
@@naufaljb8204 People have opinions, not saying you're wrong but, People have opinions.
@@naufaljb8204 maybe you're good at math, but you suck at english
@@aliaakari601yeah
@@aliaakari601pople
I love how people dont even know what is the imaginary number and still watch this
Imaginary Number (written as 'i') is equal to the square root of -1 which we considered the second dimension in our Real Number Line, the Real Number line with the Imaginary Number line is known as Cartesian Plane, which is basically a place used to graph equations.
Part 2 - 25 likes:
Fun Fact is that |i| is not equal to i, but 1, beacuse if you look at the Cartesian Plane, you see that the distance from 0 to i is 1 unit, so |i|=1, and so |-i| is also equal to 1.
The reason of i being 2root(-1) comes with some other weird facts, such as e^(pi×i)=-1, i^5=i^2, etc...
About the Cartesian Plane being used to graph equations, the x-axis is the Real Number Line which is the number we insert in an equation, and the y-axis being the Imaginary Number Line where it's the result of the equation respect to the number inserted.
You know the Reals and the Imaginaries, but there are also Complexs, writen in form a+b×i where a and b are real numbers, ex: 5+2i, this equation can't be compressed more than it is beacuse of mathematical number relation reasons.
I is the second, j is the third and k is the fourth dimension in graphing equations. (More nerdy stuff at 75 likes)
Just one more like...
Already reached 25 likes
i thought everyone knew what imaginary numbers are
since this guy didnt update it at 25 likes ill explain quaternions
quaternions are basically complex numbers in 4 dimensions
i^2=-1
j^2=-1
k^2=-1
ijk=-1
"quaternions provide the definition of the quotient of 2 vectors" and is written in the form of a+bi+cj+dk∈H where a,b,c,d∈R
note that quaternion multiplication is not necessarily commentative (meaning that p*q is not always the same as q*p)
You have more than twice of 25 likes, where's the additional nerdy stuff?!
Oh tysm everyone
Done
The Second Coming is now canonically friends with the letter e.
This is literally 100/10. The sounds, the effects, the animation, the accurate equations and the story, they all were hella awesome. Thanks Alan.
100/10 is 10, so it's quite literally 100/10 out of 100/10 :)
The comment sections are so dumb comments💀
When a 14 minute RUclips video teaches math better than a year of school
Like
As a math nerd, this is like my new favorite thing. I love how you started out with the fundamentals of math, the 1=1 to 1+1=2, and then steadily progressed through different areas until you're dealing with complex functions. There's so much I can say about this, it's so creative. Good job, Alan and the team.
What is e 😂 seriously I want to know
@@stefanoslouk4183e means exponent
i means imaginary
@@stefanoslouk4183its a
The fifth letter of the alphabet
@@stefanoslouk4183 e is Euler's number, it's an irrational number and it's value is approximately equal to 2.7. It's useful in many different equations and can express some very complicated logarithms or series.
@@stefanoslouk4183Euler's number.
2.718...
After watching this, now i just want to learn everything and everything about math...this is just mind-blowing ❤
10:00 was most epic scene
I can’t wait to see math youtubers react to this and explain it all. Here’s hoping the community gets this in front of those creators as soon as possible.
1 minute ago
Hope vsauce sees it
this sound design was top notch. The music felt so appropriate for this weird dimension, and the sfx for all the math clinking and plopping felt like it was exactly how math should sound. absolutely stunning.
Damn yes
This is a piece of art
This vedio inspire me to think math again
Only Alan Becker can make a video about maths and we’ll all genuinely be invested in it.
Edit: GUYS PLEASE STOP COMMENTING ON HOW THERE’S OTHER CHANNELS THAT CAN MAKE MATHS-BASED VIDEOS THIS WAS COMMENTED TWO MONTHS AGO AND I WAS JUST IMPRESSED AT HOW ALAN AND HIS TEAM WERE ABLE TO EXECUTE IT I DON’T WATCH VSAUCE
Facts
Fr fr
true
Disagreed.
Fr
I came here thinking this video came out 6 years ago but no it was only 6 hours. I’m sure I could say plenty that others have said but it’s so good to see fun and creative animations like this still existing on RUclips after all these years and all the hassles on RUclips. No Ads, No Sponsors, No Patreon no Merch Plugins, just the art of animation in its purest form. Incredible work, keep it up.
Same, Alan is so good.
You'd see more of it if RUclips wasnt doing its best to kill any creator that doesn't toe the line exactly as they want it.
RUclips is absolutely ruthless to animators. It's just that Alan's content is exactly what RUclips likes.
Unrelated note my comment got stolen by a bot and got more likes than me. That’s pretty kooky!
Math teacher: ❌
Alan Becker’s video: ✅
There are so many clever references to laws, rules, principles.
I had to advanced frame by frame scene by scene many times to catch it all.
And I still feel like I must've missed things.
As an engineer this has got to be the coolest animation I've ever seen. Its so fun to watch and 100% acurate all the time
π=e=3?
As an aspiring engineer I resent my brain for understanding most of it. But yeah, it’s really cool
@@AdityaKumar-gv4dj^2 =g
@@bugg4938 wut
@@jeremycaswellshh were speaking math language
The graphic design in this episode was nothing short of phenomenal. The way e^iπ and TSC interact with numbers is so smooth and natural, and they use complicated formulas so creatively, too... Too bad it didn't fit in the narrative of AvA's grand story because this was one of the most beautifully animated episodes I've ever seen from your team
I suppose it could, since TSC was last seen in a jail cell, and they could have knocked him out during transfer somewhere else, possibly.
Ikr
Are we sure it doesn't fit? I need to rewatch the last chapter, but TSC was captured and in some kind of facility, with the way he woke up in this place he could be in some kind of experiment or simulation
@@Braga_Rcb or mabye this is how TSC learns how to use his power. Math is also a form of code. But thats just a Guess
Incredible truly fantastic the way that you can innovatively come up with this😅
Can you please do Animation vs Science next? 😊
This is BRILLIANT. I don't think I've laughed harder at a maths video in a long time. Probably ever.
Here's my interpretation of each scene as a second-year undergrad:
0:00 Addition
1:23 Subtraction
1:40 Euler's identity (first sighting)
2:25 Multiplication
2:36 Division
2:48 Division by zero
3:05 Positive exponents
3:29 Zero and negative exponents
3:40 Fractional exponents and square roots
3:50 Imaginary unit, square root of negative one
4:00 Euler's identity (second sighting)
4:44 a + -a = 0
5:18 The complex plane
5:34 The unit circle
5:38 Definition of a radian
5:59 Polar coordinates
6:39 Definition of pi
6:51 Trigonometry and relationship with the unit circle
7:12 Phase shift
7:19 Euler's identity (third sighting)
7:35 Taylor series expansion for e^x, x=iπ
7:50 Volume of a cylinder (h = 8)
8:25 Hyperbolic expansion for sine and cosine
8:30 f(x) = tan(x)
9:28 Infinite domain
10:00 Calculus boss fight
11:00 Amplitude = 100
11:30 Imaginary realm?
12:10 TSC befriends Euler's identity (wholesome)
12:38 i^4 = 1
13:05 Taylor series expansion for e^x, x=π
13:06 Gamma function, x! = Γ(x+1)
13:25 Reunion with Zeta function, delta, phi and Aleph Null
Definitely my favourite Animator vs. Animation video yet, and I'm not just saying that because I'm a math student. It really says something about Alan's creativity when he can make something like mathematics thrilling and action-packed. Top notch!
Needs a pin!
you forgot aleph at the end, it’s really big but sort of hidden in the background for being transparent
@@existing24As it’s the biggest infinity!
@@bananaeclipse3324 aleph is not the biggest infinity. its a set of cardinal numbers that represent the different types of infinities. Aleph_0 is the number of whole numbers, aleph_1 is the number of real numbers and so on.
I dont see the a + -a one
as an nerd myself, here's the actual math:
0:06 1 as the unit
0:13 equations
0:18 addition, positive integers
0:34 base ten, 0 as a place holder
0:44 substitution
1:09 simplifying equations, combining terms
1:20 subtraction
1:30 0 as the additive identity
1:34 -1, preview of e^(iπ) = -1
2:10 negative integers
2:16 changing signs
2:20 multiplication
2:28 factors
2:33 division
2:48 division by 0 error
3:03 powers
3:23 x^1 = x , x^0 = 1, x^(-1) = 1/x
3:35 fractional exponents = roots
3:42 √2 is irrational
3:48 √(-1) = i
3:54 complex numbers
4:00 e^(iπ) returns, i*i*i = i*(-1) = i*e^(iπ)
4:15 Euler's formula: e^(iθ) = cosθ + i*sinθ
4:54 e^(iθ) rotates an angle of θ
5:12 complex plane
5:33 unit circle
5:38 full circle = 2π radians
5:55 circle radii
6:36 π
6:41 trigonometry
7:17 Euler's formula again
7:33 Taylor series of e^(iπ)
7:44 circle + cylinder
7:51 (-θ) * e^(iπ) = (-θ) * (-1) = θ
8:22 Euler's formula + complex trigonometry
8:29 sinθ/cosθ = tanθ, function f(x) = 9*tan(πx)
9:01 π radians = half turn
9:57 limits, integrals to handle infinity
10:15 translation
13:01 factorial --> gamma function, n-dimensional spheres
13:31 zeta, phi, delta, aleph
(comment by MarcusScience23)
Someone already did it
Sorry bro
@@Lebanoncontryball at least I got likes + replies
@@marcusscience23 yeah gg
@@marcusscience23 but he did too
Perfect, perfect absolutely perfect
Brilliantly creative and boy was it fantastic,a fun creatively made math adventure
I always new the letter e was the real villain of maths
This video shows that you can make literally anything a badass short film if you have enough talent.
That kind of implies that math is not badass by itself, but I don't believe it be possible to have watched this video and still think that
Ikr
Can I make poop into a badass short film then?
@@nizargutomo7969 yes… yes you can…
Also wow how’d this comment get so popular lol. 553 likes as of 9:00pm June 25th.
He literally had the power to distroy the world by doing 0 devided by 0
I absoluately love these animations.
I didn't understand a good portion of the math, but this is the exact chaotic feeling I get when confronted by math. Only difference is that this animation outs me in awe of math rather than in fear of it. Truly a masterful piece
Mathterful*
Same I wish I understood all math
I plan to study hard wish me luck guys!
This should legitimately be shown in schools, so much unique intuition for basic concepts in math is shown here
They might need to slow down or break down some parts but yes
No tanto así xd el de la división no entendí
@@FireMageTheSorcererthat's what they should actually do
@@Cosmicfear101I could see my teacher going frame by frame through the video and explaining each equation to us and the cool unique qualities and random fact about each one
@@Louis_2568teaching limits and the imaginary world would be tricky for non-calculus students 😅
This needs a commentary to follow it all…because bloody hell it’s awesome.
Coming back to this video for like the fifth time and just noticed ANOTHER awesome detail: when Orange pulls out a copy of a number, the "stretch" effect is an equals sign - 1=1, the reflexive property!
As a mathematics teacher, I always dream of explaining math concepts in an interesting and amazing way. Let me say, you have done wonderful work in this regard, even though words are not enough to express my feelings. In my review/reaction video (animation vs math in Urdu Hindi), I tried to explain this masterpiece in Urdu/Hindi for roughly 1 billion people in Pakistan and India!
That's amazing, I struggled to learn math the way my teachers taught in school. I have hyperphantasia, so I struggle to understand things that aren't explained visually, but this video encapsulates exactly how I wish math could be taught to me because it explains mathematical concepts in a way that is intuitive, interesting, and very aesthetically pleasing.
@minervatolentino8481
Maybe because they might not speak english???
@@minervatolentino8481 because there are already uploaded some reviews in English I just added subtitles in English and explain in Urdu
@@zylerrogers69 i struggle too! Not to self diagnose but,maybe i have hyperphantsia too
pixar has no right to call itself an animation studio after releasing this masterpiece
they removed the dragon in the mulan remake just so they could save money on by not animating it and not hiring eddie murphy
it’s a whole team behind this not just one man
@@Philgob doesnt make it any less impressive
@@wolfytronic true
it brought me to tears. Especially the f(x)=9tg and my favorite Euler identity
You are so good at it keep it going on❤
I'm studying at the Faculty of Math in university right now and every month i come back to this masterpiece to see what new did i learn. When this animation came out i didnt understand anything besides the begining, now i almost got everything, and everytime it gets more and more interesting to analyse every small detail i notice
Thanks for it, it helps he understand that im getting better, smarter, and my efforts arent worthless
I showed this to my Precal teacher and she really enjoyed pointing out all the references to stuff like the unit circle and Sin waves. I think she also had that kind of moment!
Man 5 months of progress huh
what were the functions towars the end ?
@@whimsy_vision phi is probably just generic function, at least I don't remember specific functions that use the name, then there's Riemann zeta function, delta I'm not sure about, might be the delta function, and I don't know which function is in background.
Looking at other comments, it's aleph in background. Aleph is "size" of infinite sets. And phi is fibonacchi sequence
Delta function is not strictly a function, but physicists like it. What's so weird about it, it has a non-zero integral despite being different from zero in only a single point. It's a part of generalized functions (distributions), which are absolutely amazing, but rarely taught. Then there's weaker version, Sobolev functional spaces, which is used more often, but is less amazing. Imagine, being able to integrate and differentiate (integrate by parts) everything. Delta function appears there as differential of heaviside step (or half of second derivative of modulus). Of course there's a corresponding price to pay
Why are you studying math?
I’m not even joking… get this into an animated short film festival, because this could win an Oscar.
Yes!
But First you need An Education and Learn The meaning of "osCAr"🤓
@SCARLETDEMON18 stop hating man
@@adamkhier1782 Stop Fu cking "OSCAR"🤓 Comment man
@@SCARLETDEMON18 thanks for the face reveal
so far, I've watched this video 5 times this week
Now that’s a boss battle if I’ve ever seen
only Alan Becker can turn a math formula into a sub-orbital laser cannon
134 likes and no replys? Let i fix it
xD
A death star
Alan Becker may had a hand on it but most of his Animating team did most of the work.
It's a sine and cosine function, which is funny because that's exactly how Lasers actually work in real life as well.
Only Alan Becker knows how to make an engaging lore based story with only math. Keep up the good work man! :)
So true
TSC learned more math in 14 minutes than I ever learned in 12 years
this was really cool I would love to see second coming or even the other stick figures go up against any of the other symbols or whatever they are in another video
The start was intriguing, the middle was intense, and the end was heartwarming. This isn't just an animation, it's a masterpiece and will be remembered for generations to come.
Lol yet another youtube "masterpiece" comment 😂
@@unaval1ble_ I learned imaginary numbers because of this
@@Sebdet9 you didn't know imaginary numbers before??
@@aic8326atleast they spent some effort on the comment instead of the jellybean comment (i actually forgot about that)
Yes kids boss fighting with e
I love this. I can only understand completely a third of the math presented here. But the fact that Alan made entire battles, wars, swords, and weapons out of just numbers and radiuses and equations is insane and SO creative. I cannot stop watching.
I heard he got rejected by Pixar
Okay, but how tf did I earn nearly 300 likes within just 30 minutes?
@@ThatBillNyeGuy09I have no idea.
@@keithharrissuwignjo2460 alan becker dont need pixar, pixar needs him.
0:00 introducing numbers in addition
1:21 equality
1:28 subtraction
1:41 Introducing eiπ
2:37 multiplying and dividing
2:52 falling numbers
3:08 something weird (6+2)²=1
3:25 small numbers
3:40 introducing new symbol √
3:53 weird I (is this a number?
4:02 meeting eiπ again
4:16 insane fight
5:22 some other symbols and lining
5:39 Meeting θ
6:51lining and new symbol π
7:20 meeting eiπ again
7:36 new symbols Σ 𝑛 ! ∞ _ () ⁿ
8:34 new symbols 𝑓 • ()
8:51 insane fight again
9:55 transform (the boss)
13:11 last goodby (portal)
13:36 Weird symbols (friend of eiπ) ζφδא
13:52 Outro (The + End)
Btw I liked my own comment :3
Masterpiece, you need to create more animations!
Side note: thanks for inspiring me to post animations lol