Animation vs. Math

2023/06/24 21:00に公開 14分3秒

基本データ

#	Data
最高順位	16位
最低順位	47位
増加再生回数	+5397518回
ランクイン日時	2023/06/25 17:00
ランク圏外日時	2023/06/28 17:45
急上昇継続時間	3日00時間45分
再生回数	3558022回

※再生回数, コメント数, 高評価数, 低評価数, 評価数合計, 高評価割合は初回ランクイン時の数値

急上昇ランキング推移

日時	順位	再生回数
2023/06/25 17:00	20位	3558022回
2023/06/25 17:15	21位	3599187回
2023/06/25 17:45	20位	3636129回
2023/06/25 18:15	21位	3710565回
2023/06/25 18:30	19位	3736731回
2023/06/25 18:45	21位	3780661回
2023/06/25 19:44	20位	3878166回
2023/06/25 20:30	19位	3977214回
2023/06/25 22:15	20位	4145323回
2023/06/25 23:30	17位	4209249回
2023/06/26 0:15	18位	4343206回
2023/06/26 0:45	17位	4394461回
2023/06/26 1:30	18位	4492286回
2023/06/26 2:00	17位	4552621回
2023/06/26 3:45	16位	4678082回
2023/06/26 6:15	17位	4959196回
2023/06/26 14:30	18位	5638822回
2023/06/26 15:45	22位	5734103回
2023/06/26 17:30	23位	5866073回
2023/06/26 18:15	31位	5896127回
2023/06/27 2:00	30位	6487953回
2023/06/27 10:30	32位	7142430回
2023/06/27 12:15	34位	7223725回
2023/06/27 13:30	36位	7283934回
2023/06/27 15:00	41位	7395919回
2023/06/27 16:45	42位	7517265回
2023/06/27 17:15	43位	7552699回
2023/06/27 17:30	42位	7573723回
2023/06/27 18:00	43位	7605426回
2023/06/27 20:30	45位	7755843回
2023/06/28 4:30	44位	8240091回
2023/06/28 12:45	45位	8646124回
2023/06/28 14:45	46位	8749993回
2023/06/28 17:00	47位	8860587回
2023/06/28 17:45	47位	8955540回

How much of this math do you know?

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🔹🔶 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 https://twitter.com/E_SoundWork
🔹🔶 EDITOR🔶🔹
Pepper @PepperIAm
🔹🔶 MUSIC🔶🔹
Scott Buckley @ScottBuckley
🔹🔶 PRODUCTION MANAGER🔶🔹
Hatena360 @hatena360

サムネイル画像（最高画質）

人気コメント

1: Alan Becker 2023/06/25 0:58

To be clear, my lead animator is the math nerd behind all this. And as always, watch DJ and I talk about it: https://youtu.be/dRj3X7IFCjY

2: just baggy 2023/06/24 13:59

Everyone knows 1+1 is 11.

3: Fizzy360wolf 2023/06/25 13:02

Alan gave a more informative math lesson in one video than most math teachers in a school year

4: Xcyiterr 2023/06/25 12:54

as a math nerd myself, I cannot even begin to describe how happy I am to watch all of this

5: Ben Goschy 2023/06/25 14:26

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.

6: American Flag, Made in China 2023/06/25 13:50

not only did alan somehow make Euler's identity badass, he also made all of its alternate forms even more badass

7: HJC25 Gaming 2023/06/25 14:39

This is one of the most beautiful videos I've ever seen, hands down. The fact that you could so clearly and visually explain some of the hardest concepts in math, from multiplication all the way to trigonometry. The animation is stellar, with every math concept perfected to beauty. As someone who loves math, animation, and Alan Becker, this is a work of art. Keep being awesome!

8: Heyame Itayar 2023/06/24 19:06

If math lessons were like this, math would for sure be everyone’s favorite subject

9: Aadarsh Yadav 2023/06/25 13:30

Not only you have made the entertaining animation involving maths in it, but it also shows the hard work you have done to study complicated maths. I have learned a thing or two from this

10: Felix Chen 2023/06/25 14:43

Only Alan Becker could make math and letters look cool, interesting, and badass

11: Danez 2023/06/25 15:22

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.

12: 개금치 2023/06/25 13:26

This is an award-worthy piece of art. It's so beautiful.

13: 미노 2023/06/25 14:10

a middle school student's interpretiation:
중학생의 관점에서 본 해석입니다.

0:01 Start
시작
0:13 Equal
등호
0:18 Plus (1+1=2)
덧셈
1:09 Set 1: Press the equal sign to clean up the equation
등호를 누르면 좌변 or 우변 정리가 가능하다는 설정
1:19 Minus (100-1=99)
뺄셈
1:32 Negative number
음수

1:39 wth is that
오메 저게 뭐여
1:49 Set 2: multiply i(imaginary number) to move to the imaginary number dimension
복소수 i를 곱해 복소수 차원(?)으로 이동할 수 있다는 설정
2:11 Addition of negative numbers
음수의 덧셈
2:15 Negative × Negative = Positive
음수×음수=양수
2:23 Multiplication
곱셈
2:34 Division
나눗셈
2:47 n÷0=Error (becuz n contains 0 infinitely)
(n에 0이 무한 번 들어가기 때문에)
3:03 Square (Exponentiation) 거듭제곱
3:27 Extending the range of exponents
지수의 범위 확장
3:39 Square root
제곱근(루트)
3:49 Imaginary number
복소수 i=√(-1)
3:58 i×i=-1 ∵i=√(-1)
3:59 e^iπ=i×i, i×i×i=i×e^iπ that moved to the i dimension (1st way to summon e^iπ)
(쟤 불러내는 방법 1)

4:09 Sudden fight
갑자기 전투씬
4:12 i×i=-1, so he cannot run away to i dimension
i×i=-1이기 때문에 복소수 차원으로 도망가지 못함
4:16 Unfold e^iπ (the hint of 2nd way)
e^iπ를 전개 (방법 2에 대한 힌트)
4:19 Set 3: +,- decide on the direction
부호가 바뀌면 대상이 바라보는 방향이 바뀐다는 설정
4:21 ...?
4:33 Set 4: put multiply sign on legs to increase the speed
다리에 곱셈 부호를 넣으면 달리기가 빨라진다는 설정
4:45 4:45 e^iπ holds -1, and Orange holds +1, so it becomes 0 when they collide(Plus)
쟤는 -1를, 주황은 +1를 들고 있으니 둘이 부딪히면(더하면) 0이 됨
4:52 a nice 2×2=4 bow
2×2=4로 활을 만듦
4:55 I don't know that XP
주황이 쏜 4를 /로 받아서 지수에 올림=원의 둘레의 8분의 1이 출력됨?
5:07 ???
5:16 Coordinate Plane -> Complex Plane (Horizontal axis is Real number, Vertical axis is Imaginary number)
좌표평면 -> 복소평면(가로축은 실수, 세로축은 허수)
5:33 Circle
원
5:38 the measure of axis called 'rad'
rad라는 각의 단위 (?)
5:43 360°=6.283...rad ∴(2π)rad=360°
5:45 2πr×1rad/360=r (??)
6:04 θr= a circle equation?
θr=반지름이 r인 원의 방정식?
6:21 Ellipse?
타원?
6:23 interesting XD
θ기호의 가로선의 기울기가 원의 방정식의 각도 관련 변수를 정한다는 설정
6:34 (axis=0°) θ/r=0, (axis=180°) θ/r=3.14...=π (???) ∴θ=πr×(axis/180)
6:43 ...? Whatever it's sin & cos
...? 사인과 코사인
6:48 Trigonometric Function
삼각함수
7:08 i×sin (it's complex plane so the function goes up)
(복소평면이므로 함수가 세로축의 방향으로 진행)
7:17 sin(π)+cos(π)=e^iπ
(4:16 에 나왔던 그 식)=e^iπ

7:22 Sudden fight, take 2
갑자기 전투씬 2
7:29 (5:07 참고)
7:34 oh darn it's sigma
시그마...? 시그마 위의 수가 n값의 최대를 나타내는 거니까, 탄창이 무한인 중화기로 변했다는 뜻?
7:37 1/0!=1, iπ/1!=3.14...i, ...
7:44 ????
7:49 πr²h
7:52 e^iπ=i²=-1 ∴r-θ×(e^iπ)=r+θ
8:04 one more interesting scene
부호(좌표평면에서의 위치) 바꾸기
8:15 sine curve
사인함수 파동. 실제로 파동의 종류들 중 하나인 정현파가 사인함수 모양임.
8:23 Unfold and self-multiplying
전개해서 자가 복제
8:29 sin(ㆍ)/cos(ㆍ)=tan(ㆍ), y=9×tan(ㆍ) -> y=f(ㆍ) (f means function, 함수를 의미)
8:40 tangent function shaped afterimage
총알이 좌표평면에 그린 탄젠트 함수 모양으로 나감.
8:55 the surface of the circle=πr²
아까 θ를 가져간 쟤들 중 하나가 r의 크기를 키워 원의 넓이를 늘림.
9:02 ( 4:21 과 관련 있을 듯.)
9:22 Vertical axis means imaginary number, so it goes up
좌표평면(복소평면) 위의 점을 세로축으로 +7i만큼 이동.
9:26 Output 9×tan(∞) 출력
9:39 span({x₁})=R, I DON'T KNOW
(R은 모든 실수를 의미함.) 도저히 모르겠음.
9:47 Make a robot
울트라몬
9:57 wth
10:17 similar to 9:22
원점을 y축의 방향으로 9i만큼 올림
10:32 input θ onㆍand cos(π)&isin(π) -> death star
ㆍ에 θ를 넣고 cos(π)과 isin(π)을 입력 -> 함수 출력
10:56 Death star (r=100 ver.)
θ 속 원의 반지름을 의미하는 r의 값을 키워 원의 크기를 키움
11:14 multiply the velocity of rolling circle
굴러가는 원의 속력에 수를 곱해 속력을 키움
11:25 Enter the i dimension
복소수 차원 입장
11:34 imaginary numbers
갈라지는 금을 자세히 보면 √(-1), √(-2), √(-4) 등이 보임
11:44 move 5 horizontally
실수축으로 5만큼 이동
11:47 Multiply i with e^iπ and go back to the real number dimension
e^iπ에 i를 곱해서 실수 차원으로 넘어감

12:35 i⁴=1, therefore he cannot move to the i dimension
그래서 복소수 차원으로 못 넘어감
13:02 ah my eyes
아이고...
13:25 e^iπ=-1, e^iπ+1=0 (Euler's Equation)
(세상에서 가장 아름다운 식인가 들어봄)
13:32 friends
친구들 등장
13:49 The + End
끝

I love you Alan Becker
Alan Becker 사랑합니다

14: Fletchable 2023/06/25 0:32

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.

15: JeffieUwU 2023/06/25 12:29

Just think about how much time this video should have taken to be finished

Edit: I'm truly amazed by the animation, it's really great. I admire so much the fact that Alan Becker can create a whole story about these stick figures even with the most underrated subject

16: dunlopchop 2023/06/25 14:15

never would I have imagined a literal reenactment of numbers fighting to their deaths, or Euler's constant hijacking the battlefield. yet Alan takes all of this and turns it into a masterpiece that gives us a glimpse into the mathematical mind of a genius. a truly cinematic experience, to put it into perspective.

17: 中华远征军冥锋 HadesForce-HF 2023/06/25 16:08

0:10 The Second Coming achieved the achievement: One
0:16 The Second Coming achieved the achievement: Equal
0:24 The Second Coming achieved the achievement: Plus
0:45 The Second Coming achieved the achievement: Brackets
1:21 The Second Coming achieved the achievement: Minus
1:35 The Second Coming achieved the achievement: Negative
1:40 The Second Coming achieved the achievement: Euler Formula
1:50 The Second Coming discovered: Imaginary Number Space
2:17 The Second Coming achieved the achievement: Negative Is Positive
2:26 The Second Coming achieved the achievement: Multiple
2:35 The Second Coming achieved the achievement: Divide
2:48 The Second Coming achieved the achievement: No Damage
3:04 The Second Coming achieved the achievement: Power
3:16 The Second Coming achieved the achievement: Dimensions
3:29 The Second Coming achieved the achievement: Fraction
3:41 The Second Coming achieved the achievement: Square Root
3:43 The Second Coming achieved the achievement: Irrational Number
3:49 The Second Coming achieved the achievement: Imaginary Number - i
4:20 The Second Coming achieved the achievement: Semicircle
4:30 The Second Coming achieved the achievement: Multiplied Speed
5:24 The Second Coming achieved the achievement: Coordinate
5:35 The Second Coming achieved the achievement: Draw A Circle
5:39 The Second Coming achieved the achievement: Rad
5:45 The Second Coming achieved the achievement: Radius
6:13 The Second Coming achieved the achievement: Theta
6:38 The Second Coming achieved the achievement: Pi
6:44 The Second Coming achieved the achievement: Trigonometric Functions
6:51 The Second Coming achieved the achievement: Sine Wave and Cosine Wave
7:37 The Second Coming achieved the achievement: Taylor Expansion
9:20 The Second Coming achieved the achievement: Infinity
9:36 The Second Coming achieved the achievement: Vector Space
11:26 The Second Coming achieved the achievement: True Imaginary Number Space
13:03 The Second Coming achieved the achievement: Gamma Function
13:14 The Second Coming achieved the achievement: Singularity

18: LittleFlower 2023/06/25 14:02

The fact that TSC learned the whole math lore in just like, 5 minutes-

19: Vinz Molina 2023/06/25 14:08

This video literally taught me more math than all my teachers did in my 30 years of learning

20: VFacts 2023/06/24 22:28

So far, this is the best action movie in 2023!

21: Matt Lang 2023/06/25 12:54

This is one of the most artistically brilliant projects you have ever made! Beautiful work!

22: JaiGDPlayer 2023/06/25 13:10

This man basically summarized my homework in 14 minutes and 2 seconds

23: mvazzquezzg 2023/06/25 14:57

Por un momento pensé que Alan despertaría de un sueño sobre un libro de cálculo mientras estudiaba para un examen 😂

24: Low Fidelity 2023/06/25 13:45

An animator has just reviewed all the math that you learn for roughly more than 20 years in 14 mins of Youtube video, presented how beautiful math is. Alan just created a new education system combine both mathmetics and animtaion :)

25: Lucas Shibuya 2023/06/25 15:22

This is actually so interesting to me! I loved how creative your team is! I myself am a big math nerd so I loved seeing all the math bits I haven't used in a while! Leave it up to y'all to bring this kind of quality all together! Looking forward to y'all's next vid!

26: Exotic_Butters 2023/06/24 21:11

Only Alan Becker can make a video about maths and we’ll all genuinely be invested in it.

27: Sydney W 2023/06/25 12:44

As always, I am confounded and amazed by the sheer imagination that goes into these. It's fantastic, fun, and just masterful. Everyone should be proud in the work they do from music to art to storyboard. Everything is so much fun and I love these every time I see them pop up on my dash.

28: poetry 2023/06/25 13:54

bruh... as a math lover this was one of the most enjoyable videos I've watched. I can recognize math patterns but also soak in the creativity and entertainment of this video. Alan Becker, big respects to you for making this masterpiece, I thoroughly enjoyed every second of it! keep it up, I would love to see a part 2

29: hakmed olarinde 2023/06/25 14:27

dude really did the impossible and made math look cool. very impressive

30: Trendy Prima Wijaya 2023/06/25 13:35

I think Animation vs Math is a pre-requisite for the audience to be familiar with it before they encounter and get a feel of "scalable vector graphic" in the following chapter of Animation vs Animator VI series.

31: antouf 2023/06/25 14:34

Even if I never understood math, this is clearly one of my favorite episodes

32: TailsMiles249 2023/06/25 1:24

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.

33: (DemonD213) 2023/06/25 13:07

I know just enough to understand what’s going on as it’s happening, and it is some of the most creative and inspired works of arts I have ever seen. Truly amazing

34: BeauWild Gaming 2023/06/25 12:28

Dang! I never thought math could be that exciting! That was amazing, as always, Alan! Now I want to learn to animate as well! :)

35: Alternex (Alt acc) 2023/06/25 13:32

Alan always make a short video feel like a movie. It isn't just clicking, it's a whole war with a letter E, this is all accurate.

36: XLREBXRTH 2023/06/25 14:32

This has to be one of the best animation ever created by Alan

37: Ael 2023/06/25 13:18

Alan dando un increíble resumen de la matemática. Empieza con 1+1=2 y termina en una batalla epica de numeros ecuaciones y letras q sepa de donde salieron

38: Bombastic Starver 2023/06/25 13:47

Probably one of my favourite of the Animation vs. something series out there, the music and theme reminded me of interstellar with it's mathematical and philosophical moments. A continuation of this would be so cool, with the return of Euler's identity to help The Second Coming fight off against Agent Smith and his group.

39: Yuti 2023/06/25 14:42

This taught me more about math than school ever has

40: Krish Acharya 2023/06/25 13:09

being a math nerd i was amazed on seeing the precision of calculations in this video...... literally this was sensational.... hats of to u and ur team alan

41: Hypnotik Robot 2023/06/25 14:50

The new math lore looks insane
Definitely best update since they added circles
I thought this game was dead after the devs added calculus but I think the devs still care about this game and it’s fan base

42: FenriZz's Trash 2023/06/25 10:59

The fact that Alan and his team are the first to make math look insane in animation speaks cm3 volumes....

43: Maxel! 2023/06/25 13:04

This is possibly the best video I"'ve ever seen, showed it to both my dad and sister who are mathematicians and they loved it, it's been an hour and they're still talking about it hahah.
My dad told me he's going to show the video to his class! "Introduction to calculus" at the university.
Greetings from Chile :) Thanks for the amazing animations as always

44: Leaf 2023/06/25 15:21

This is so creative, these animations keep getting better and better

45: Terrawolf 2023/06/25 14:14

I've never been this captivated by basic math... Amazing work.

46: テトさん 2023/06/25 13:30

マジですごい。文系だから途中からすごいことしか分からなかったけど本当にすごい。アニメーションとしても満足度が高いのに、他のコメントを見る限り数学に関する表現も素晴らしい。アランさんは本当にすごい。

47: Hika Haragaki 2023/06/25 14:33

Never in my life gaining so much motivation for learning more math in a single video

48: Boiling Cold 2023/06/25 0:11

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

49: raid 2023/06/25 14:42

This video is the definition of what it feels like doing a math exam.