Animation vs. Math

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  • Опубліковано 23 чер 2023
  • How much of this math do you know?
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    🔹🔶 WRITTEN BY 🔶🔹
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  • Фільми й анімація

КОМЕНТАРІ • 60 тис.

  • @alanbecker
    @alanbecker  10 місяців тому +47745

    To be clear, my lead animator is the math nerd behind all this. And as always, watch DJ and I talk about it: ua-cam.com/video/dRj3X7IFCjY/v-deo.html

    • @harryalbertsonsevilla9183
      @harryalbertsonsevilla9183 10 місяців тому +938

      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

    • @Emirhanoleo78
      @Emirhanoleo78 10 місяців тому +152

      Yoo pogchamp

    • @harryalbertsonsevilla9183
      @harryalbertsonsevilla9183 10 місяців тому +66

      @@Emirhanoleo78hi

    • @romanthespeedrunner5020
      @romanthespeedrunner5020 10 місяців тому +50

      hi alan

    • @Darkixz-ball
      @Darkixz-ball 10 місяців тому +44

      1 minute lol

  • @jesseweber5318
    @jesseweber5318 6 місяців тому +13381

    If you could turn this format into a video game, you'd have an incredibly powerful tool to teach kids math.

    • @Pepplay33
      @Pepplay33 6 місяців тому +351

      imagine

    • @jesseweber5318
      @jesseweber5318 6 місяців тому +451

      Just to add to this I went and learned eulers identity is after wondering why E to pi I was so crazy

    • @ayuballena8217
      @ayuballena8217 6 місяців тому +77

      @@jesseweber5318me too, i had no idea

    • @rickt.3663
      @rickt.3663 6 місяців тому +33

      Like minecraft?

    • @TheGuyWhoComments
      @TheGuyWhoComments 6 місяців тому +34

      @@rickt.3663 you mean, Minecraft Education edition?

  • @Whittyyyy
    @Whittyyyy 10 місяців тому +8568

    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

    • @MyBoy69969
      @MyBoy69969 10 місяців тому +208

      30 likes and no replies let me fixed that😊

    • @xdshirottv2032
      @xdshirottv2032 10 місяців тому +93

      Yep the pretty much it

    • @xvie_z2900
      @xvie_z2900 10 місяців тому +196

      Man this makes me wanna learn math more

    • @RuriYoshinova
      @RuriYoshinova 10 місяців тому +66

      alan should put this in the video.
      I need to know what types TSC is using

    • @Alexa-iv7kr
      @Alexa-iv7kr 10 місяців тому +61

      ​@@xvie_z2900fax I wanna understand everything in this video

  • @kepler6873
    @kepler6873 13 днів тому +48

    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.

  • @user-lh6ys9mr5m
    @user-lh6ys9mr5m Місяць тому +258

    10:45 orange you've been here for 11 minutes and you've already made a all destroying death laser out of math how

    • @month32
      @month32 12 днів тому +12

      Because Math, that's how!

  • @thebigcheese1153
    @thebigcheese1153 6 місяців тому +3598

    I love how he goes from learning basic operations to university level maths

    • @shariecebrewster5962
      @shariecebrewster5962 6 місяців тому +39

      Evening at home myc myself

    • @ferferarry5242
      @ferferarry5242 5 місяців тому +21

      We are learning most of this in 9th grade

    • @meusauc
      @meusauc 5 місяців тому

      @@ferferarry5242 key phrase: “most of”

    • @idk-lz4nl
      @idk-lz4nl 5 місяців тому +14

      bruh, you guys think this is uni-level math... damn

    • @monstermaker73
      @monstermaker73 5 місяців тому +28

      ​@idk-lz4nl Most of this is high school level, though the stuff in the last quarter is more common in universities.

  • @cykwan8534
    @cykwan8534 10 місяців тому +6484

    *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!

    • @ArsakaD1
      @ArsakaD1 10 місяців тому +326

      hey, are you my teacher?

    • @abandonedhhhv
      @abandonedhhhv 10 місяців тому +143

      Nice lore.

    • @fishoreo
      @fishoreo 10 місяців тому +84

      I will be waiting for your part 2!

    • @rekttt_7374
      @rekttt_7374 10 місяців тому +71

      Please continue dude, till end. I confused about the end of the video.

    • @rainbowshine4846
      @rainbowshine4846 10 місяців тому +22

      Do everything pls.

  • @DC-yi6us
    @DC-yi6us 2 місяці тому +606

    Masterpiece

  • @Sevron
    @Sevron 4 дні тому +11

    never in my life would I have ever thought I would see something tactically reload a math formula...

  • @Fletchable
    @Fletchable 10 місяців тому +15930

    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.

    • @F2PAlius
      @F2PAlius 10 місяців тому +359

      Now all we need is natural logs in minecraft vs animation 😅

    • @Shirou230
      @Shirou230 10 місяців тому +185

      He is on another dimension, not on another level anymore

    • @possessedpicklejar4762
      @possessedpicklejar4762 10 місяців тому +168

      Finally, somebody said what it’s called so I can look up what the antagonist actually is.

    • @Fletchable
      @Fletchable 10 місяців тому +187

      Ironically enough, this is the first time I’ve utilized my calculus knowledge outside of school hahaha

    • @lvlupproductions2480
      @lvlupproductions2480 10 місяців тому +97

      @@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.

  • @TailsMiles249
    @TailsMiles249 10 місяців тому +1817

    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.

    • @dragoknight589
      @dragoknight589 10 місяців тому +116

      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.

    • @dr.unventor
      @dr.unventor 10 місяців тому +45

      I know! It’s incredible how he can just add world building in and make it so believable

    • @captainsprinkles6557
      @captainsprinkles6557 10 місяців тому +13

      You clearly haven't seen the Minecraft series yet have you? "Fall damage goes brrrrr"

    • @dragoknight589
      @dragoknight589 10 місяців тому +48

      @@captainsprinkles6557 Fall damage is present, and it’s relatively consistent. It’s just less severe for rule of cool.

    • @captainsprinkles6557
      @captainsprinkles6557 10 місяців тому +11

      @@dragoknight589 Less severe? Man they jump off multiple cliffs

  • @itsdreamy5709
    @itsdreamy5709 Місяць тому +52

    10:02 WAAAAAAAH!

  • @Medematiques
    @Medematiques 2 місяці тому +327

    09:58 I love seeing my logo so powerful!

    • @even4865
      @even4865 Місяць тому +7

      Medematiques sous une vidéo d'Alan Becker qui parle de Maths, le monde est petit 🤣🤣

    • @ultbowser94576
      @ultbowser94576 Місяць тому +3

      11:06 D O A B A R R E L R O L L

    • @ultbowser94576
      @ultbowser94576 Місяць тому

      11:17 fast

    • @Watcher_4
      @Watcher_4 Місяць тому +4

      And then get yourself obliterated roughly 30 seconds later

    • @Z_kun11
      @Z_kun11 12 днів тому

      symbol v greek alphabet symbol SIGMA (rotated at a axis of 90°)

  • @3blue1brown
    @3blue1brown 10 місяців тому +31138

    Utterly delightful!

    • @gagannnnn
      @gagannnnn 10 місяців тому +564

      yo legit thought you collabed on this or smthn haha

    • @mr.tesseract6854
      @mr.tesseract6854 10 місяців тому +211

      Hi there Mr. Pi

    • @big_numbers
      @big_numbers 10 місяців тому +254

      Yoooo it's the math guy

    • @voidbreak4756
      @voidbreak4756 10 місяців тому +168

      i KNEW 3b1b would comment

    • @donaldputin6390
      @donaldputin6390 10 місяців тому +28

      Hello

  • @FenriZzIsTrash
    @FenriZzIsTrash 10 місяців тому +965

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

    • @catassistant
      @catassistant 10 місяців тому +3

      @@kingsrevenge9234Your message is undermined when you post it to literally everyone without changing a single thing

    • @thechaosstudios478
      @thechaosstudios478 10 місяців тому +2

      True

    • @seventeen777
      @seventeen777 10 місяців тому

      ​@catassistant3365 it's just a bot, best thing to do is just ignore and report it for spam

    • @edgepixel8467
      @edgepixel8467 Місяць тому

      This is the greatest video ever made

  • @user-f87ec8b7fd
    @user-f87ec8b7fd 2 місяці тому +9

    Mathematics smells genocide in any era. This is why the Ego always stuck periodically.

  • @user-qg9fv2et9u
    @user-qg9fv2et9u 9 днів тому +6

    A meganalysis of this:
    1: a number representing a single entity
    Equal: a sign representing the sum of a equation
    Plus: a positive function symbol representing addition 1+1=2
    Double equation: this is when you put two plus or minus.
    10: a even number
    Parentheses: 2=(1+1) 3=(1+2)
    Minus: a negative function symbol representing a take away in math
    Negative: a negative function symbol representing the negativity or the lowest of a number
    e i pi: a mathematical equation equaling 0
    Multiplication: 3x3=9 (1+1+1+1+1+1+1+1) 3×(4) = (1+1+1..)
    Division: 6/2=3 12/6=2 81/9=9
    Exponent: 6+2²=64 4+4²=16
    Fraction: ½=20%
    Square root: sqrt(4)=2 sqrt(16)=4
    i.: -1=n i=1.
    Radian: also known as rad rad=4.8 maximal rad = 6.2
    Pi: symbol representing 3.41
    tau: symbol representing t below pi
    Summation: a symbol representing Σ a calculus sum.
    Function: symbol representing f f(x) f(sin)
    Integral: the symbol representing the integral of a number so far good
    Ratio: r=100
    Idk i quit😊

  • @pawles8091
    @pawles8091 10 місяців тому +1285

    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.

    • @analt2164
      @analt2164 10 місяців тому +71

      He has an entire crew working with him

    • @FirasG
      @FirasG 10 місяців тому +49

      He does have a WHOLE ASS BUILDING

    • @TTVtreekoVr
      @TTVtreekoVr 10 місяців тому +5

      Yeah😂

    • @pvpcraft2081
      @pvpcraft2081 10 місяців тому +3

      I can only understand a bit.

    • @aimonnwood6957
      @aimonnwood6957 10 місяців тому +6

      ...and at the end, in comes the zeta function

  • @Arshys
    @Arshys 7 місяців тому +2964

    This man just gave the sentence “imagine maths are a videogame” a whole new meaning

    • @Jaydenmare
      @Jaydenmare 7 місяців тому +31

      There is a math game called Baldi’s basics

    • @EricDu-hq1es
      @EricDu-hq1es 7 місяців тому +24

      And the sentence of "imagine math is weaponized"

    • @autumn_sunday
      @autumn_sunday 7 місяців тому +14

      ...You could pick up the sword, the bow, or the arrow...
      Obscure reference :)

    • @Midnight_Reaper
      @Midnight_Reaper 7 місяців тому +6

      @@autumn_sunday Gumball reference moment

    • @zelven6109
      @zelven6109 7 місяців тому +6

      Video games are made through math.

  • @You_Got_The_Chills
    @You_Got_The_Chills 20 днів тому +16

    Wow. This animation is as cool as reality if I had to rate it it will be 10/10👍

  • @autumnsprout1
    @autumnsprout1 Місяць тому +13

    why is it that e^i*pi is genuinely adorable lmaooo

  • @boilingcold581
    @boilingcold581 10 місяців тому +947

    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

  • @heyameitayar8958
    @heyameitayar8958 10 місяців тому +25668

    If math lessons were like this, math would for sure be everyone’s favorite subject
    Edit: well, this blew up fast. Thanks!

    • @naufaljb8204
      @naufaljb8204 10 місяців тому +719

      Math is beauty, if not you just not understand it very well

    • @aliaakari601
      @aliaakari601 10 місяців тому +732

      @@naufaljb8204 People have opinions, not saying you're wrong but, People have opinions.

    • @billcosta
      @billcosta 10 місяців тому

      ​@@naufaljb8204 maybe you're good at math, but you suck at english

    • @_BlackCar251
      @_BlackCar251 10 місяців тому +123

      ​@@aliaakari601yeah

    • @BernardoFreitas-RM
      @BernardoFreitas-RM 10 місяців тому +74

      @@aliaakari601pople

  • @soyezegaming
    @soyezegaming 21 день тому +50

    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. (More nerdy stuff at 25 likes)

    • @saaofficial5415
      @saaofficial5415 7 днів тому

      Just one more like...

    • @user-yw2gu3qs8o
      @user-yw2gu3qs8o 6 днів тому +1

      Already reached 25 likes

    • @nerd5865
      @nerd5865 4 дні тому +1

      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)

  • @yashchauhan8545
    @yashchauhan8545 3 дні тому +1

    12th standard nostalgia in the most epic cinematic way possible!
    Thank you so much for this experience.

  • @bengoschy5366
    @bengoschy5366 10 місяців тому +1916

    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.

  • @nothing91109
    @nothing91109 10 місяців тому +5564

    To the math nerd that did the equation and to the animator, heavily respected

    • @TheGuyThatPlaysKoG
      @TheGuyThatPlaysKoG 10 місяців тому +145

      especially in that mech section

    • @elestirmenelestirmen
      @elestirmenelestirmen 10 місяців тому +41

      pp entry looks pretty accurate lmao

    • @happymario3223
      @happymario3223 10 місяців тому +53

      bro both are the same person

    • @VitorMaIuquinho
      @VitorMaIuquinho 10 місяців тому +43

      There is literally a pinned comment saying the lead animator did the math-

    • @TheJayTA
      @TheJayTA 10 місяців тому +3

      DJ did it all.

  • @thajyeeb4012
    @thajyeeb4012 Місяць тому +14

    7:53 Euler's Identity really released their Domain Expansion

  • @8Fun_Funny
    @8Fun_Funny 2 місяці тому +3

    This was brilliant. I think some short stories for individual mathematical concepts would be highly educational. I thought the battle was a bit prolonged without much new discernable math was presented, but I take this video to depict the authors struggle with natural logarithms and the concept of "e". Everything was clear and intuitive to that point.

  • @ProfessorHeavy1
    @ProfessorHeavy1 10 місяців тому +813

    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.

    • @littleyoyo8480
      @littleyoyo8480 10 місяців тому +6

      I completely agree

    • @user-dj4ft3en3l
      @user-dj4ft3en3l 10 місяців тому +3

      +

    • @Keno5
      @Keno5 10 місяців тому +3

      Yes, I agree too.

    • @joelbobadilla7831
      @joelbobadilla7831 10 місяців тому +1

      Egor is too good in sound design and animation

    • @FireyDeath4
      @FireyDeath4 10 місяців тому +9

      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

  • @NateParody
    @NateParody 10 місяців тому +720

    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.

    • @JediJess1
      @JediJess1 10 місяців тому +9

      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.

    • @Treebutstupid
      @Treebutstupid 10 місяців тому +9

      Can I be in your class bro

    • @NateParody
      @NateParody 10 місяців тому +7

      @themisleadingpath4692 I graduated already, lol. But I can head to my school and put in a good name for you /j

    • @FingerMoments
      @FingerMoments 10 місяців тому +6

      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)

    • @Asianboy486
      @Asianboy486 10 місяців тому +4

      I thought yellow would be in it cause he is a red stone scientist so he would know the simple math😊

  • @RageChipslol
    @RageChipslol Місяць тому +15

    1:02 TSC is just like "Yay!!... What did I accomplish?"

  • @FurryNonsense
    @FurryNonsense 25 днів тому +4

    This taught me math better and faster than 12 years of school ever did

  • @Astronian18
    @Astronian18 9 місяців тому +2118

    As a person who has taken calculus, I can confirm we fight bosses every day in math class.

    • @Slimydog
      @Slimydog 9 місяців тому +25

      😂

    • @pantherosgaming1995
      @pantherosgaming1995 9 місяців тому +16

      OMG 🤣

    • @DWScienceVideos
      @DWScienceVideos 9 місяців тому +12

      Too true

    • @silxm
      @silxm 9 місяців тому +15

      i can agree with this ap calculus was scary

    • @arda04onuk77
      @arda04onuk77 9 місяців тому +5

      as a person just started took it and failed and going to take next year nothings changed

  • @ctje1638
    @ctje1638 10 місяців тому +333

    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.

  • @riyanshrathi3869
    @riyanshrathi3869 4 дні тому +1

    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.

  • @clairethompson9619
    @clairethompson9619 4 дні тому +1

    I love it how under 2 minutes this already shows more math than I have every known in my life

  • @crushermach3263
    @crushermach3263 10 місяців тому +658

    Can't wait for all the math channels to do breakdowns of this video. It's incredible how much is packed in here.

    • @josuevargas1952
      @josuevargas1952 10 місяців тому +38

      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

    • @etakiwarp
      @etakiwarp 10 місяців тому +5

      Even in a slowmode /100 i'm not sure you would have time to explain everything 😄

    • @wildblack1
      @wildblack1 10 місяців тому +1

      @@etakiwarp I wanted to check the math in the video and I had to use frame advance in some scenes.

    • @bettercalldelta
      @bettercalldelta 10 місяців тому +1

      i came here from a breakdown of the video

  • @9robbby78
    @9robbby78 10 місяців тому +3677

    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.

    • @66LordLoss66
      @66LordLoss66 10 місяців тому +100

      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.

    • @CathYeng1
      @CathYeng1 10 місяців тому +8

    • @_suzuki1357
      @_suzuki1357 10 місяців тому +9

      I agree!

    • @charlottemabury1164
      @charlottemabury1164 10 місяців тому +9

      That’s exactly what I was thinking

    • @enzoghost1316
      @enzoghost1316 10 місяців тому +8

      That’s actually true

  • @Proman4713
    @Proman4713 8 днів тому +4

    As a general nerd myself, and especially a math nerd: This video was awesome 🤓😄

  • @-_-_-_-_-_-_--_-_-_NA040
    @-_-_-_-_-_-_--_-_-_NA040 5 годин тому

    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) φ I don't have them but here's more symbolsΣΔφσλθβαΩΠ⨀∑∞∮∊⊿⊾∿Ω∫∆㏒㏑≢≡≂≐≠

  • @harshitmishr
    @harshitmishr 9 місяців тому +1510

    An animation masterpiece ✅
    A cinematic masterpiece ✅
    A mathematical masterpiece ✅
    A physics masterpiece ✅
    Cinematography ✅
    Sound design ✅
    Everything is so perfect

  • @Zoms101
    @Zoms101 9 місяців тому +1728

    The sound design here is simply masterful, and makes the whole thing feel physical and *very* satisfying.

    • @CYCLOLCYC2223
      @CYCLOLCYC2223 9 місяців тому +4

      It shows how the stick figure adapt and try to minimize at 1:15

    • @MelonMan667
      @MelonMan667 9 місяців тому

      True

    • @Whois_me111
      @Whois_me111 9 місяців тому

      I don’t understand the last part

    • @Leonardo-ht5jk
      @Leonardo-ht5jk 9 місяців тому

      It sounds like a movie, its awesome

    • @Derpy_Crow
      @Derpy_Crow 9 місяців тому

      I’m 699 like

  • @aleezadelrosario3706
    @aleezadelrosario3706 7 годин тому

    Teachers: *Gives math homework*
    Internet: *Explains math homework*
    Alan Becker and crew: *Creates the most mind-bending, jaw-dropping, epic animation from the most basic to the most advanced knowledge about math with an orange stickman fighting then befriending Euler*

  • @Mathewprin
    @Mathewprin 8 днів тому +2

    With great knowledge comes great power and with great power comes great responsibility => with great knowledge comes great responsibility!

  • @gvrde
    @gvrde 10 місяців тому +770

    As a mathematician AND a fan of Alan's works, I can't describe how happy I am.

    • @eon1311
      @eon1311 10 місяців тому +10

      Same here bro

    • @grandevirtude9830
      @grandevirtude9830 10 місяців тому +17

      Too bad that i understood no shit related to maths after 3:52

    • @mogwaisales
      @mogwaisales 10 місяців тому +8

      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.

    • @snowman3456
      @snowman3456 10 місяців тому

      ​@@grandevirtude9830same

    • @noahk6407
      @noahk6407 10 місяців тому +1

      @@grandevirtude9830imagine

  • @MoonriseMystery
    @MoonriseMystery 10 місяців тому +762

    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.

    • @stefanoslouk4183
      @stefanoslouk4183 10 місяців тому +7

      What is e 😂 seriously I want to know

    • @mikayel6175
      @mikayel6175 10 місяців тому +14

      ​@@stefanoslouk4183e means exponent
      i means imaginary

    • @RedoAll
      @RedoAll 10 місяців тому +11

      ​@@stefanoslouk4183its a
      The fifth letter of the alphabet

    • @ExtremeAce
      @ExtremeAce 10 місяців тому +20

      @@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.

    • @abandonedhhhv
      @abandonedhhhv 10 місяців тому

      ​@@stefanoslouk4183Euler's number.
      2.718...

  • @ayeshaijazvoiceofmath
    @ayeshaijazvoiceofmath Місяць тому +2

    12:11 is very relatable😂 Overall it's mind-blowing🤯 Just love the way how you highlight the different concepts of math just in 14min which i learned in 16years😅 It's amazing! I can't get bored watching this over and over again!👏

  • @DN_13
    @DN_13 2 місяці тому +2

    This was incredible. Such an amazing visual of math that makes it understandable. And a better story plot than most Hollywood movies nowadays. Lol

  • @gcr100
    @gcr100 8 місяців тому +1358

    The sound design is a masterclass on its own

    • @FotoStudios418
      @FotoStudios418 8 місяців тому +44

      Legitimately, everything has such a nice clack to it, it's half the reason for why it's so satisfying to watch

    • @DarkLedgend
      @DarkLedgend 8 місяців тому +5

      @@FotoStudios418 Facts

    • @RyanSoltani
      @RyanSoltani 7 місяців тому +3

      All of the clicks and clacks make the video infinitely better

  • @yeetingthechild5570
    @yeetingthechild5570 10 місяців тому +2025

    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.

    • @bloc8928
      @bloc8928 10 місяців тому +115

      Bro became Einstein by examining with numbers and stuff

    • @PurpleHeartE54
      @PurpleHeartE54 10 місяців тому +112

      Several hundred years if we're being real here. Math is a culmination of Humanity's Effort.

    • @Theriople
      @Theriople 10 місяців тому +32

      @@Aku_Cyclone ???????

    • @Redanimations424
      @Redanimations424 10 місяців тому +1

      ​@@PurpleHeartE54:/

    • @PurpleHeartE54
      @PurpleHeartE54 10 місяців тому +9

      @@Redanimations424 It's facts though.

  • @1707EYES
    @1707EYES 2 дні тому

    it brought me to tears. Especially the f(x)=9tg and my favorite Euler identity

  • @JuliusDofarios
    @JuliusDofarios День тому

    Cancelling Infinity using Limits.
    That is beyond genius!

  • @melissadavies3741
    @melissadavies3741 8 місяців тому +2171

    This needs like 10 games, 3 books, a Netflix series, a movie on Disney+ and Dreamworks, and way more

    • @Erizo_
      @Erizo_ 8 місяців тому +9

      YES!

    • @Neo-kc2zj
      @Neo-kc2zj 8 місяців тому +5

      IDK half of the things that you need to understand this 😕 🤔

    • @Angry_ni-
      @Angry_ni- 8 місяців тому +11

      This is already that but better ngl

    • @Jack-ht3lr-28
      @Jack-ht3lr-28 8 місяців тому +2

      Why is it always like this? 4:04

    • @jhen6671
      @jhen6671 8 місяців тому +1

      I would literally go insane if that happened.

  • @ChaosRevealsOrder
    @ChaosRevealsOrder 10 місяців тому +2000

    I've never seen anything so mathematically accurate while also entertaining.

    • @viniciusdias2330
      @viniciusdias2330 10 місяців тому +22

      now it is explained how the "chosen one" went to this reality

    • @sehr.geheim
      @sehr.geheim 10 місяців тому +12

      No appreciation for proofs?

    • @marbot1
      @marbot1 10 місяців тому +3

      E

    • @bvdlio
      @bvdlio 10 місяців тому +2

      3b1b

    • @drackflame951
      @drackflame951 9 місяців тому +3

      ​@@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.

  • @_im_also_here_
    @_im_also_here_ 2 місяці тому +2

    I am actually speechless. This was way more mind blowing than i expected it to be.

  • @Craig22110
    @Craig22110 22 дні тому +2

    Is interstellar of math ! 😂
    Wonderful, thanks for your animations !

  • @Mega_idk
    @Mega_idk 10 місяців тому +902

    Can we all take a minute and appreciate the sound design here? It makes the action and visuals so much more enjoyable than they already are!

    • @KushagraPratap
      @KushagraPratap 10 місяців тому +17

      yeah man, sound design is the most impressive here, also how he signifies actions

    • @seomeenu
      @seomeenu 10 місяців тому +3

      fr

    • @MuhammadazizAbdullayev
      @MuhammadazizAbdullayev 10 місяців тому +3

      Yes

    • @asafapowell4813
      @asafapowell4813 10 місяців тому

      What but I can't hear any sounds is it a problem on my end or is this a joke?

    • @itastelikeglowingskittles
      @itastelikeglowingskittles 10 місяців тому +9

      @@asafapowell4813turn up ur volume, restart ur device, wear earphones. The sounds are really cool /srs

  • @ThatBillNyeGuy09
    @ThatBillNyeGuy09 10 місяців тому +401

    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.

    • @keithharrissuwignjo2460
      @keithharrissuwignjo2460 10 місяців тому +2

      I heard he got rejected by Pixar

    • @ThatBillNyeGuy09
      @ThatBillNyeGuy09 10 місяців тому

      Okay, but how tf did I earn nearly 300 likes within just 30 minutes?

    • @abandonedhhhv
      @abandonedhhhv 10 місяців тому +1

      ​@@ThatBillNyeGuy09I have no idea.

    • @mamunrashid6404
      @mamunrashid6404 10 місяців тому +4

      @@keithharrissuwignjo2460 alan becker dont need pixar, pixar needs him.

  • @turunyarapro7515
    @turunyarapro7515 26 днів тому +1

    10:34 The creation of the death star

  • @aarthor
    @aarthor 7 годин тому +1

    Bro learnt Mathematics in 14 mins
    and we took more than 14 years to learn the same

  • @name-ie9qo
    @name-ie9qo 10 місяців тому +319

    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

  • @Whenpigfly666
    @Whenpigfly666 10 місяців тому +484

    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

    • @sargentgullible2794
      @sargentgullible2794 10 місяців тому +12

      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.

    • @A_G0OGLE_user
      @A_G0OGLE_user 10 місяців тому +3

      Ikr

    • @Braga_Rcb
      @Braga_Rcb 10 місяців тому +20

      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

    • @harrythetrained5478
      @harrythetrained5478 10 місяців тому +7

      ​​​@@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

    • @rhodrigomercyf2918
      @rhodrigomercyf2918 10 місяців тому

      Incredible truly fantastic the way that you can innovatively come up with this😅

  • @svitlanalavrenko2056
    @svitlanalavrenko2056 28 днів тому +2

    I don’t understand mathematics at all, but it’s so nice and interesting to watch everything that happens! Especially the sound is very cool, the sound of interaction with objects. And although I understand almost nothing from these formulas, I can confidently say that mathematics (geometry or algebra) is an art!)

    • @Zaximillian
      @Zaximillian 20 днів тому +1

      If you like graphical mathematics that doubles as art, look at the concept called roses. These parametric equations construct beautiful multi "leaved" curves on the Cartesian plane, all from only two interrelated formulas.

  • @ahmed_fahim_05
    @ahmed_fahim_05 Місяць тому +2

    After watching this, now i just want to learn everything and everything about math...this is just mind-blowing ❤

  • @BatzelChaos
    @BatzelChaos 10 місяців тому +215

    This really feels like Alan's old animations, before they became a series. Something exists, it gets explored, big fight, bigger fight, biggest fight, then end. No context, nothing.
    Except, now the quality of animation is something exceptional.

    • @Fredo22
      @Fredo22 10 місяців тому +10

      even before the quality was great tbh

    • @fitzchevalerie6597
      @fitzchevalerie6597 10 місяців тому +4

      not exceptional, exponential

    • @BatzelChaos
      @BatzelChaos 10 місяців тому

      @@fitzchevalerie6597 Erm... what? Exponential means something that is increasing at an increasing rate. Exceptional on the other hand, means something different, unique; incredible. Just another fancy word, but fits the context and I fancied using it for no reason. Exponential doesn't fit the context?

    • @fitzchevalerie6597
      @fitzchevalerie6597 10 місяців тому

      It fits because we're talking about the quality, it gets better and better each time at an increasing rate, finally, I think exponential is more fiitting and it has a strong bond with maths, wich is the subject of this video, I hope I was clear

    • @BatzelChaos
      @BatzelChaos 10 місяців тому

      @@fitzchevalerie6597 That is a nice viewpoint, but I think you should have worded it more clearly. I thought you were suggesting to just switch the words, when that breaks the sentence completely, but it can be reworded to fit "exponenttial".
      Other than that, pretty great pun :D

  • @marinaaaa2735
    @marinaaaa2735 10 місяців тому +642

    This should legitimately be shown in schools, so much unique intuition for basic concepts in math is shown here

    • @FireMageTheSorcerer
      @FireMageTheSorcerer 10 місяців тому +56

      They might need to slow down or break down some parts but yes

    • @elsicarioadriangamer3382
      @elsicarioadriangamer3382 10 місяців тому +2

      No tanto así xd el de la división no entendí

    • @Cosmicfear101
      @Cosmicfear101 10 місяців тому +9

      ​@@FireMageTheSorcererthat's what they should actually do

    • @Louis_2568
      @Louis_2568 10 місяців тому +35

      @@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

    • @F2PAlius
      @F2PAlius 10 місяців тому +12

      ​@@Louis_2568teaching limits and the imaginary world would be tricky for non-calculus students 😅

  • @TomahawkFL
    @TomahawkFL 5 днів тому +1

    bro made math epic

  • @thegamehelperz2746
    @thegamehelperz2746 2 місяці тому +1

    Jackson game yesterday was amazing. His hold up ball control and link up play is just amazing

  • @theblacklakes9351
    @theblacklakes9351 6 місяців тому +2202

    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.

    • @aic8326
      @aic8326 4 місяці тому +11

      Lol yet another youtube "masterpiece" comment 😂

    • @Sebdet9
      @Sebdet9 4 місяці тому

      @@Carroty_ I learned imaginary numbers because of this

    • @littlemilk973
      @littlemilk973 4 місяці тому

      @@Sebdet9 you didn't know imaginary numbers before??

    • @Sand_the_Lazy_sand
      @Sand_the_Lazy_sand 4 місяці тому +1

      ​@@aic8326atleast they spent some effort on the comment instead of the jellybean comment (i actually forgot about that)

    • @Tenebri_s
      @Tenebri_s 4 місяці тому

      Yes kids boss fighting with e

  • @KIsADragon
    @KIsADragon Місяць тому +3

    Insane video...
    Describes what maths is doing under the hood.... DESTRUCTION!!!

  • @user-oc2ys8cb3d
    @user-oc2ys8cb3d Місяць тому +1

    2:48 NEVER divide ANY number by zero.

  • @marcusscience23
    @marcusscience23 9 місяців тому +2065

    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)

  • @sporky9861
    @sporky9861 10 місяців тому +553

    i like how in the beginning, euler’s identity escaped quickly, indicating a lack of fundamental understanding. But as the second coming learns more and more, he becomes more and more capable of keeping up with euler, eventually figuring out how to defeat its dimensional trickery with i, and making peace with it once he understands the prerequisites. very well done animation !!

    • @Freerunner360
      @Freerunner360 10 місяців тому +8

      The second coming

    • @damianukaszewicz3330
      @damianukaszewicz3330 10 місяців тому +7

      The Second Coming, not The Chosen One :)

    • @benjaminojeda8094
      @benjaminojeda8094 10 місяців тому +4

      It's like the story of very much people who decides to learn maths

    • @lazarussevy2777
      @lazarussevy2777 10 місяців тому +3

      That sounded like a beautiful literature analysis of a math animation. I like it!

  • @astro-ko3cu
    @astro-ko3cu Місяць тому +1

    Perfect, perfect absolutely perfect
    Brilliantly creative and boy was it fantastic,a fun creatively made math adventure

  • @table3310
    @table3310 9 днів тому

    Bro TSC is literally him. In 10 minutes he basically conquers the math universe.

  • @ronanshepherd6582
    @ronanshepherd6582 10 місяців тому +741

    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

    • @AdityaKumar-gv4dj
      @AdityaKumar-gv4dj 10 місяців тому +11

      π=e=3?

    • @rodrigovillegas2263
      @rodrigovillegas2263 10 місяців тому +11

      As an aspiring engineer I resent my brain for understanding most of it. But yeah, it’s really cool

    • @bugg4938
      @bugg4938 10 місяців тому +1

      ​@@AdityaKumar-gv4dj^2 =g

    • @jeremycaswell
      @jeremycaswell 10 місяців тому +1

      @@bugg4938 wut

    • @FEARLESS_FWOG0
      @FEARLESS_FWOG0 10 місяців тому +6

      ​@@jeremycaswellshh were speaking math language

  • @ParadoxBrony
    @ParadoxBrony 10 місяців тому +252

    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.

  • @Daily_Dose_Cone
    @Daily_Dose_Cone 4 години тому

    bro is unlocking the math to the entire universe

  • @Enigma00000
    @Enigma00000 12 годин тому

    nothing short of magical beauty...

  • @d2dog933
    @d2dog933 10 місяців тому +547

    only Alan Becker can turn a math formula into a sub-orbital laser cannon

    • @GoodMat66
      @GoodMat66 10 місяців тому

      134 likes and no replys? Let i fix it

    • @GoodMat66
      @GoodMat66 10 місяців тому +1

      xD

    • @Red_MOON187
      @Red_MOON187 10 місяців тому +3

      A death star

    • @RylishZaliou12
      @RylishZaliou12 10 місяців тому +3

      Alan Becker may had a hand on it but most of his Animating team did most of the work.

    • @livethefuture2492
      @livethefuture2492 10 місяців тому +3

      It's a sine and cosine function, which is funny because that's exactly how Lasers actually work in real life as well.

  • @blobtuna236
    @blobtuna236 10 місяців тому +800

    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!

    • @creepergod3692
      @creepergod3692 10 місяців тому +14

      Needs a pin!

    • @existing24
      @existing24 10 місяців тому +44

      you forgot aleph at the end, it’s really big but sort of hidden in the background for being transparent

    • @bananaeclipse3324
      @bananaeclipse3324 10 місяців тому +4

      @@existing24As it’s the biggest infinity!

    • @Yhp420
      @Yhp420 10 місяців тому +10

      @@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.

    • @Travisevilman13-oc4nj
      @Travisevilman13-oc4nj 10 місяців тому +3

      I dont see the a + -a one

  • @GnawsterMC
    @GnawsterMC 2 місяці тому +1

    I like to come back to this video every once in a while when ive learned more math and understood more parts of the video. Currently just understood the unit circle, radians, and sigma notation!

  • @CupisCupidity
    @CupisCupidity Місяць тому +1

    Can you please do Animation vs Science next? 😊

  • @yousseftamer4943
    @yousseftamer4943 10 місяців тому +388

    I love how TSC is using more and more complicated maths as time goes on. This guy somehow made maths interesting

    • @Wa_Sans.bananA
      @Wa_Sans.bananA 10 місяців тому +5

      The difference between the math I enjoy and my teacher's math :3

  • @priyanshupippal0562
    @priyanshupippal0562 10 місяців тому +1331

    This is literally 100/10. The sounds, the effects, the animation, the accurate equations and the story, they all were hella awesome. Thanks Alan.

    • @biibs
      @biibs 10 місяців тому +21

      100/10 is 10, so it's quite literally 100/10 out of 100/10 :)

    • @Aidan751
      @Aidan751 10 місяців тому +4

      The comment sections are so dumb comments💀

    • @peakinsert1276
      @peakinsert1276 10 місяців тому +4

      When a 14 minute UA-cam video teaches math better than a year of school

    • @user-nn7ll5ep6h
      @user-nn7ll5ep6h 8 місяців тому

      Like

  • @ravinnbee9067
    @ravinnbee9067 Місяць тому +18

    10:00 was most epic scene

  • @darkychainsaw7045
    @darkychainsaw7045 Місяць тому +1

    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 !

  • @jameshenderson8700
    @jameshenderson8700 10 місяців тому +1709

    I’m not even joking… get this into an animated short film festival, because this could win an Oscar.

    • @bravlcraft_YT
      @bravlcraft_YT 10 місяців тому +12

      Yes!

    • @SCARLETDEMON18
      @SCARLETDEMON18 10 місяців тому +13

      But First you need An Education and Learn The meaning of "osCAr"🤓

    • @adamkhier1782
      @adamkhier1782 10 місяців тому +17

      ​@SCARLETDEMON18 stop hating man

    • @SCARLETDEMON18
      @SCARLETDEMON18 10 місяців тому +2

      @@adamkhier1782 Stop Fu cking "OSCAR"🤓 Comment man

    • @therealten95
      @therealten95 10 місяців тому +30

      ​@@SCARLETDEMON18 thanks for the face reveal

  • @krissyai
    @krissyai 10 місяців тому +556

    TSC discovered the entire realm of calculus in under 15 minutes, seriously one of the coolest parts was when the Euler monster derived from e caught the shot infinity in a limit, and using the 0-∞ integral, that seriously was like a woah moment
    Another thing i dont see anyone pointing out is aleph null as a behemoth due to it being the smallest infinity, i loved every bit of this, its my third time rewatching

    • @HiveEntity001
      @HiveEntity001 10 місяців тому +20

      It’s a behemoth because even if it’s the smallest infinity, it’s still infinity. Not finite. And that means…. IMPOSSIBLY big. So yeah. Behemoth.

    • @williamandrew9221
      @williamandrew9221 10 місяців тому +17

      i like your funny words magic man

    • @xkryde
      @xkryde 10 місяців тому +3

      I thought I was wrong when I thought aleph-null for sec there, thanks for confirmation

  • @jayS-co7er
    @jayS-co7er Місяць тому +4

    Now that’s a boss battle if I’ve ever seen

  • @yahyasalim8011
    @yahyasalim8011 20 днів тому +1

    I never was one to like math, now i adore it

  • @XDTape
    @XDTape 10 місяців тому +484

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

    • @runstarhomer2754
      @runstarhomer2754 10 місяців тому +29

      Euler's formula has been badass for hundreds of years, my guy.

    • @Genisis1082
      @Genisis1082 10 місяців тому +12

      @@runstarhomer2754 Im impressed that it all made sense too, what a cool animation

    • @I_killed_that_beard_guy
      @I_killed_that_beard_guy 10 місяців тому +2

      Can you explain me why euler identify is running and really hard to catch? Idk

    • @allrightformugiwara2656
      @allrightformugiwara2656 10 місяців тому

      He called e the negative one

    • @salitroka9661
      @salitroka9661 10 місяців тому

      facts

  • @VFacts
    @VFacts 10 місяців тому +14856

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

    • @pn43279
      @pn43279 10 місяців тому +63

      Adu anh vfact học toán

    • @pn43279
      @pn43279 10 місяців тому +32

      Video mới là gì thế anh zai

    • @LoL_Man_6942O
      @LoL_Man_6942O 10 місяців тому +174

      I can’t believe Alan is making his own Number lore now… ✊

    • @Nerdzel_73450
      @Nerdzel_73450 10 місяців тому +37

      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.

    • @liZa_lIke245
      @liZa_lIke245 10 місяців тому +7

      Yes

  • @Jemma-yh9yr
    @Jemma-yh9yr 20 днів тому +1

    I believe this left the realm of maths💀

  • @christiantang1110
    @christiantang1110 8 днів тому

    You got complex math and not exit... Man i love this

  • @singingsun04
    @singingsun04 10 місяців тому +294

    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 UA-cam after all these years and all the hassles on UA-cam. No Ads, No Sponsors, No Patreon no Merch Plugins, just the art of animation in its purest form. Incredible work, keep it up.

    • @Frog_Plush_THE_ANIMATOR.
      @Frog_Plush_THE_ANIMATOR. 10 місяців тому +7

      Same, Alan is so good.

    • @fdsafdsafdsafdsafd
      @fdsafdsafdsafdsafd 10 місяців тому +1

      You'd see more of it if UA-cam wasnt doing its best to kill any creator that doesn't toe the line exactly as they want it.

    • @TheIrrelevantYT
      @TheIrrelevantYT 10 місяців тому +2

      UA-cam is absolutely ruthless to animators. It's just that Alan's content is exactly what UA-cam likes.

    • @singingsun04
      @singingsun04 10 місяців тому +1

      Unrelated note my comment got stolen by a bot and got more likes than me. That’s pretty kooky!

  • @mwmento
    @mwmento 4 місяці тому +3024

    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

    • @vlooranthewise7526
      @vlooranthewise7526 4 місяці тому +71

      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!

    • @OGSilentMan
      @OGSilentMan 4 місяці тому +22

      Man 5 months of progress huh

    • @whimsy_vision
      @whimsy_vision 4 місяці тому +2

      what were the functions towars the end ?

    • @wumi2419
      @wumi2419 4 місяці тому +2

      @@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

    • @jmrabinez9254
      @jmrabinez9254 4 місяці тому

      Why are you studying math?

  • @Yersonescolastico
    @Yersonescolastico 26 днів тому +1

    Gracias por todo este maravilloso trabajo.🤩👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏👏

  • @dead4sure
    @dead4sure 2 місяці тому +2

    Being an engineer and a math enthusiast I love this❤