To be clear, my lead animator is the math nerd behind all this. And as always, watch DJ and I talk about it: kzread.info/dash/bejne/loaelbpweampmrw.html

@harryalbertsonsevilla9183

10 ай бұрын

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

10 ай бұрын

Yoo pogchamp

@harryalbertsonsevilla9183

10 ай бұрын

@@Emirhanoleo78hi

@romanthespeedrunner5020

10 ай бұрын

hi alan

@Darkixz-ball

10 ай бұрын

1 minute lol

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

@Pepplay33

7 ай бұрын

imagine

@jesseweber5318

7 ай бұрын

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

@ayuballena8217

6 ай бұрын

@@jesseweber5318me too, i had no idea

@rickt.3663

6 ай бұрын

Like minecraft?

@TheGuyWhoComments

6 ай бұрын

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

*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

10 ай бұрын

hey, are you my teacher?

@abandonedhhhv

10 ай бұрын

Nice lore.

@fishoreo

10 ай бұрын

I will be waiting for your part 2!

@rekttt_7374

10 ай бұрын

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

@rainbowshine4846

10 ай бұрын

Do everything pls.

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

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

16 күн бұрын

Because Math, that's how!

@salmaahmed3163

3 күн бұрын

@@month32 ....

Utterly delightful!

@gagannnnn

10 ай бұрын

yo legit thought you collabed on this or smthn haha

@mr.tesseract6854

10 ай бұрын

Hi there Mr. Pi

@big_numbers

10 ай бұрын

Yoooo it's the math guy

@voidbreak4756

10 ай бұрын

i KNEW 3b1b would comment

@donaldputin6390

10 ай бұрын

Hello

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

10 ай бұрын

30 likes and no replies let me fixed that😊

@xdshirottv2032

10 ай бұрын

Yep the pretty much it

@xvie_z2900

10 ай бұрын

Man this makes me wanna learn math more

@RuriYoshinova

10 ай бұрын

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

@Alexa-iv7kr

10 ай бұрын

​@@xvie_z2900fax I wanna understand everything in this video

Masterpiece

@ishanaisshack-qt5wx

Ай бұрын

What 1:33 1:34 1:34

@BIackhole

Ай бұрын

Yoo these emojis are so cool

@DC-yi6us

Ай бұрын

@@BIackhole i know the code

@itsmejosiahderron

Ай бұрын

Cool

@DC-yi6us

Ай бұрын

@@BIackhole i know the code

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.

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

10 ай бұрын

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

10 ай бұрын

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

@captainsprinkles6557

10 ай бұрын

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

@dragoknight589

10 ай бұрын

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

@captainsprinkles6557

10 ай бұрын

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

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

10 ай бұрын

He has an entire crew working with him

@FirasG

10 ай бұрын

He does have a WHOLE ASS BUILDING

@TTVtreekoVr

10 ай бұрын

Yeah😂

@pvpcraft2081

10 ай бұрын

I can only understand a bit.

@aimonnwood6957

10 ай бұрын

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

09:58 I love seeing my logo so powerful!

@even4865

Ай бұрын

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

@ultbowser94576

Ай бұрын

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

@ultbowser94576

Ай бұрын

11:17 fast

@Watcher_4

Ай бұрын

And then get yourself obliterated roughly 30 seconds later

@Z_kun11

16 күн бұрын

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

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

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

@shariecebrewster5962

6 ай бұрын

Evening at home myc myself

@ferferarry5242

5 ай бұрын

We are learning most of this in 9th grade

@meusauc

5 ай бұрын

@@ferferarry5242 key phrase: “most of”

@idk-lz4nl

5 ай бұрын

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

@monstermaker73

5 ай бұрын

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

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

@TheGuyThatPlaysKoG

10 ай бұрын

especially in that mech section

@elestirmenelestirmen

10 ай бұрын

pp entry looks pretty accurate lmao

@happymario3223

10 ай бұрын

bro both are the same person

@VitorMaIuquinho

10 ай бұрын

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

@TheJayTA

10 ай бұрын

DJ did it all.

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

10:02 WAAAAAAAH!

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

@pn43279

10 ай бұрын

Adu anh vfact học toán

@pn43279

10 ай бұрын

Video mới là gì thế anh zai

@LoL_Man_6942O

10 ай бұрын

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

@Nerdzel_73450

10 ай бұрын

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

10 ай бұрын

Yes

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

@catassistant

10 ай бұрын

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

@thechaosstudios478

10 ай бұрын

True

@seventeen777

10 ай бұрын

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

@edgepixel8467

Ай бұрын

This is the greatest video ever made

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

11 күн бұрын

Just one more like...

@user-yw2gu3qs8o

10 күн бұрын

Already reached 25 likes

@nerd5865

8 күн бұрын

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)

@Doktor_Vem

4 сағат бұрын

You have more than twice of 25 likes, where's the additional nerdy stuff?!

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

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

10 ай бұрын

What is e 😂 seriously I want to know

@mikayel6175

10 ай бұрын

​@@stefanoslouk4183e means exponent i means imaginary

@RedoAll

10 ай бұрын

​@@stefanoslouk4183its a The fifth letter of the alphabet

@ExtremeAce

10 ай бұрын

@@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

10 ай бұрын

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

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

10 ай бұрын

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

@Shirou230

10 ай бұрын

He is on another dimension, not on another level anymore

@possessedpicklejar4762

10 ай бұрын

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

@Fletchable

10 ай бұрын

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

@lvlupproductions2480

10 ай бұрын

@@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.

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

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.

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

10 ай бұрын

Needs a pin!

@existing24

10 ай бұрын

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

@bananaeclipse3324

10 ай бұрын

@@existing24As it’s the biggest infinity!

@Yhp420

10 ай бұрын

@@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

10 ай бұрын

I dont see the a + -a one

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

@eon1311

10 ай бұрын

Same here bro

@grandevirtude9830

10 ай бұрын

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

@mogwaisales

10 ай бұрын

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

10 ай бұрын

​@@grandevirtude9830same

@noahk6407

10 ай бұрын

@@grandevirtude9830imagine

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

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

@Killer_Cattt

10 ай бұрын

Hrklo

@thefunnihehe

10 ай бұрын

Hrklo

@DogAteMyNameGD

10 ай бұрын

Hrklo

@samanimations0

10 ай бұрын

Hrklo

@mrtomithy

10 ай бұрын

Hrklo

Some Small Details 5:29 this shows The Second Coming is approximately 1.65 units tall. An average adult male is 1.6~1.8 meters tall. It appears the math space is in SI units, m being the SI unit of length. This also shows TSC is about 165cm tall, or 5' 5". 7:45 a circle is represented as x^2 + y^2 = r^2. Inserting a pi turns it into the area of a circle, pi*r^2. Inserting 8 turns it into the volume of a cylinder, 8*pi*r^2. 9:01 since f(x) is 9*tan(x) and tangent turns angle into the steepness of a line, it can latch onto the unit circle. 9:40 f(dot) represents the tangent function at a given point (throughout this video, we can see a dot used as an arbitary number on the number line), and f(inf) represents the tangent function over the entire number line [0, +inf). An entire number line can be seen as a span of an unit vector, thus each shot increases the dimension of the span. This also implies that TSC is a being that is four-dimensional. 9:57 Sigma + limit = integral. If you try to derive the definite integral using the sum of rectangles method, you will eventually transform lim(sigma(f(...)) into integral(g(...)). 10:04 Calculating an integral of a function can be seen as getting the total (polar) area between the function and the number line. Thus the Integral Sword attacks with R2. 11:31 welcome to the imaginary realm. Hope you like it here.

@therookiegamer2727

10 ай бұрын

Main character in this is TSC (the second coming) but neat analasis

@Foxella2010

10 ай бұрын

TSC is 5’ 5 hmmmmm may be useful information not gonna lie

@powerstar8862

10 ай бұрын

​@@Foxella2010Big brain 200 iq much?

@lemonspade3718

10 ай бұрын

when a stick man is taller than you

@adt4864

10 ай бұрын

TSC is measured in pixels, not meters

Cancelling Infinity using Limits. That is beyond genius!

-Simple addition -Counting to ten -Adding 2's -Adding 20's -Reaching 100 -Simplifying addiion -Subtracion -Negatives -Euler's identity -Imaginary number usage -Subtracting negatives -2 - make a + -Multiplication -Some numbers have more factors than others -Division -Division by 0 is not possible -Exponents (squared) -Higher exponents -4 to the -x = 1/4 to the x -Square roots (square numbers) -Square roots (non-squares) -Imaginary number (i) -Euler returns -Euler's formula: cos(π)+isin(π) -Euler and TSC fight -Graphs (x axis and y axis) -Circles and the concept of π -Radius, angles, how to calculate π -Cosines and sines come from π -Euler and TSC fight club 2.0 -Concept of sums (Σ) -Functions -Concept of Infinity ♾️ -Spans -Integrals -The imaginary realm -Imaginary numbers -Euler and TSC make a truce The end... of animation vs math.

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

@FireMageTheSorcerer

10 ай бұрын

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

@elsicarioadriangamer3382

10 ай бұрын

No tanto así xd el de la división no entendí

@Cosmicfear101

10 ай бұрын

​@@FireMageTheSorcererthat's what they should actually do

@Louis_2568

10 ай бұрын

@@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

10 ай бұрын

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

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

10 ай бұрын

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

10 ай бұрын

❤

@_suzuki1357

10 ай бұрын

I agree!

@charlottemabury1164

10 ай бұрын

That’s exactly what I was thinking

@enzoghost1316

10 ай бұрын

That’s actually true

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

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

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

10 ай бұрын

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

10 ай бұрын

Can I be in your class bro

@NateParody

10 ай бұрын

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

@FingerMoments

10 ай бұрын

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

10 ай бұрын

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

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

@Appl3forPFP

10 ай бұрын

Mathterful*

@Officialrobloxbluesky283

10 ай бұрын

Same I wish I understood all math

@Officialrobloxbluesky283

10 ай бұрын

I plan to study hard wish me luck guys!

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

10:00 was most epic scene

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.

@user-eb5bn9xh9w

10 ай бұрын

15+6=21

@anicepixelatedbread

10 ай бұрын

@@user-eb5bn9xh9w 9 + 10 = 21

@drafezard7315

10 ай бұрын

@@anicepixelatedbread 2+1 = 21

@zatx8227

10 ай бұрын

@@anicepixelatedbread cos(x) = (e^ix + e^-ix)/2

@8g-26rasyadputraaldora5

10 ай бұрын

0=ax²+bx+c

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

10 ай бұрын

I completely agree

@user-dj4ft3en3l

10 ай бұрын

+

@Keno5

10 ай бұрын

Yes, I agree too.

@joelbobadilla7831

10 ай бұрын

Egor is too good in sound design and animation

@FireyDeath4

10 ай бұрын

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 learned everything until 3:55

I love how the Internet is being used this way. not abused♥️

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

@josuevargas1952

10 ай бұрын

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

10 ай бұрын

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

@wildblack1

10 ай бұрын

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

@bettercalldelta

10 ай бұрын

i came here from a breakdown of the video

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)

@Lebanoncontryball

9 ай бұрын

Someone already did it

@Lebanoncontryball

9 ай бұрын

Sorry bro

@marcusscience23

9 ай бұрын

@@Lebanoncontryball at least I got likes + replies

@Lebanoncontryball

9 ай бұрын

@@marcusscience23 yeah gg

@Lebanoncontryball

9 ай бұрын

@@marcusscience23 but he did too

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

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

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

10 ай бұрын

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

10 ай бұрын

i like your funny words magic man

@xkryde

10 ай бұрын

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

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

@Jaydenmare

7 ай бұрын

There is a math game called Baldi’s basics

@EricDu-hq1es

7 ай бұрын

And the sentence of "imagine math is weaponized"

@autumn_sunday

7 ай бұрын

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

@Midnight_Reaper

7 ай бұрын

@@autumn_sunday Gumball reference moment

@zelven6109

7 ай бұрын

Video games are made through 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 !

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

The sound design is a masterclass on its own

@FotoStudios418

8 ай бұрын

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

@DarkLedgend

8 ай бұрын

@@FotoStudios418 Facts

@RyanSoltani

7 ай бұрын

All of the clicks and clacks make the video infinitely better

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

10 ай бұрын

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

10 ай бұрын

Ikr

@Braga_Rcb

10 ай бұрын

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

10 ай бұрын

​​​@@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

10 ай бұрын

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

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

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.

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

@Polygonfella1662

10 ай бұрын

Facts

@DeeDee-Lol

10 ай бұрын

Fr fr

@NeoCaeky

10 ай бұрын

true

@actuallyarbitrary4444

10 ай бұрын

Disagreed.

@mehmettahir-hm8ms

10 ай бұрын

Fr

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

@naufaljb8204

10 ай бұрын

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

@aliaakari601

10 ай бұрын

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

@billcosta

10 ай бұрын

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

@_BlackCar251

10 ай бұрын

​@@aliaakari601yeah

@BernardoFreitas-RM

10 ай бұрын

@@aliaakari601pople

0:06 just remember, all logic starts with at least 1 assumption. you can never have anything without an assumption.

Being an engineer and a math enthusiast I love this❤

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.

@MAXIXPLayer

10 ай бұрын

Damn yes

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

24 күн бұрын

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.

Fantastic. The part I really liked was the multiple unskippable adverts that completely broke the immersive spell of the video and gave me a chance to think about financial services, feminine hygiene products, and Amazon Prime.

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

@CYCLOLCYC2223

9 ай бұрын

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

@MelonMan667

9 ай бұрын

True

@Whois_me111

9 ай бұрын

I don’t understand the last part

@Leonardo-ht5jk

9 ай бұрын

It sounds like a movie, its awesome

@Derpy_Crow

9 ай бұрын

I’m 699 like

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

10 ай бұрын

I heard he got rejected by Pixar

@ThatBillNyeGuy09

10 ай бұрын

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

@abandonedhhhv

10 ай бұрын

​@@ThatBillNyeGuy09I have no idea.

@mamunrashid6404

10 ай бұрын

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

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

@jackys_handle

16 күн бұрын

TRIPLE DIGITS!!!!! PARTY!!!

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.

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 KZread after all these years and all the hassles on KZread. 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.

10 ай бұрын

Same, Alan is so good.

@fdsafdsafdsafdsafd

10 ай бұрын

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

@TheIrrelevantYT

10 ай бұрын

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

@singingsun04

10 ай бұрын

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

As a math enthusiast I will admit that everything in this video was really fun to watch, and everything demonstrated was done creatively and understandably. (most of the time) The different ways math was used in these animations was very cool and I'd love to see more sometime. Good job Alan and team!

@thatonecabridog

10 ай бұрын

Could you elaborate on that "most of the time"

@ferher5139

10 ай бұрын

​@@thatonecabridogi couldn't understand shit past the half second half (prob a skill issue though)

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

Math teacher: ❌ Alan Becker’s video: ✅

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

4 ай бұрын

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

4 ай бұрын

Man 5 months of progress huh

@whimsy_vision

4 ай бұрын

what were the functions towars the end ?

@wumi2419

4 ай бұрын

@@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

4 ай бұрын

Why are you studying math?

The ending really conveys that maths does not have limits.

@h20dynamoisdawae37

8 ай бұрын

But it does in calculus :)

@sameelshamnad6142

8 ай бұрын

@@h20dynamoisdawae37 well, the continuum hypothesis really supports your opinion and also rejects it.

@user-lx1yg6ey6h

8 ай бұрын

6

@spinnysponk778

8 ай бұрын

@@sameelshamnad6142I think they’re talking about literal limits, e.g the one found in the definition of derivative

@BrenoAraujoful

8 ай бұрын

@@user-lx1yg6ey6h This Is Delta δ Okay?

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

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*

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.

@ginc3887

10 ай бұрын

1 minute ago

@user-nr5bt3hd9z

10 ай бұрын

Hope vsauce sees it

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

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😊

Some of my favourite things from this masterpiece which I understood: 1:39 e^iπ = -1 1:49 Multiplying by i probably can be represented here as moving to another dimention (of complex numbers) as they're located in a real one 2:37 The division here for a÷b=c is interpreted as "c is how many times you must subtract b from a to get 0" which easily explains later why you can't divide by 0 3:08 The squared number is literally interpreted as a square-shaped sum of single units 4:12 The e^iπ tries to run away to another dimention again by multiplying itself by i but TSC hits it with another i so i×i=-1 returns it back to real numbers 4:16 The e^iπ extends itself according to Euler's formula 4:19 TSC gets hit with minus so he flips 4:22 The reason why e^iπ rides a semicircle comes from visual explaining of e^iπ=-1. e^ix means that you return the value of a particular point in complex plane which you get to through a path of x radians counterclockwise from 1. Therefore e^iπ equals to -1 because π radians is exactly a semicircle. When the e^iπ sets itself to 0 power (e^i0) it returns back to 1 through a semicircle because well 1 is zero radians apart from 1. 4:53 The "2×2=" bow shoots fours 4:55 As I explained above, e^(iπ/4) means you move exaclty π/4 radians (quarter semicircle) counterclockwise 5:06 When you multiply a number by i in complex plane you just actually rotate the position vector of this number 90° counterclockwise, that's where a quarter circle came from 5:39 Each segment here is a radian, a special part of a circle in which the length of the arc coincides with the length of the radius (it's also shown at 5:46); the circle has exactly 2π radians which you can visually see is about 6.283 6:38 Visual explanation of π radians being a semicircle 6:48 Geometric interpretation of sinusoid 7:08 TSC once again multiplies the sine function by i which rotates its graph 90° 7:36 The sum literally shoots its addends so the value of n increases as the lower ones have just been used; you may also notice that every next addend gets the value of n higher and higher as well as extends to its actual full value when explodes 7:45 TSC multiplies the circle by π so he gets the area and can use it as shield 8:04 TSC uses minus on himself so he comes out from another side 8:17 The sinusoid as a laser beam is just priceless 9:02 Multiplying the radius by π here is interpreted as rotating it 180° 9:23 +7i literally means 7 units up in complex plane 9:38 Here is some kind of math pun. TSC shoots with infinity which creates the set of all real numbers (ℝ). With every other shot he creates another set which represents as ℝ², ℝ³ etc. It also means span (vector) in linear algebra and with every other ℝ this vector receives another dimention (x₁, x₂, x₃ etc.). 9:58 The sum monster absorbs infinity (shown as limit) and receives an integral from 0 to ∞ 13:46 Aleph (ℵ) represents the size of an infinite set so is presented here as enormously sized number P.S. Thanks to the people in replies who taught me the name of the orange character (The Second Coming), before that I just called him "the guy" here. P.P.S. Also thank you all for the feedback, I'm glad you appreciated my half hour work.

@cheeto4604

10 ай бұрын

Finally someone notices aleph.

@bicillenium4019

10 ай бұрын

Where is the aleph

@shane7534

10 ай бұрын

@@bicillenium4019it’s colored black with a faint graph texture moving at the end. Might wanna turn up ur brightness 2 see it

@micahwest3566

10 ай бұрын

Is the size of an infinite set not just… infinity? This is so typical of math lol

@guizintheinsect5022

10 ай бұрын

Hmmmm,interesting,but why the circle is going diagonally at 10:29 (Sorry,i'm still in 9th grade)

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

10 ай бұрын

π=e=3?

@rodrigovillegas2263

10 ай бұрын

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

@bugg4938

10 ай бұрын

​@@AdityaKumar-gv4dj^2 =g

@jeremycaswell

10 ай бұрын

@@bugg4938 wut

@FEARLESS_FWOG0

10 ай бұрын

​@@jeremycaswellshh were speaking math language

You know it’s gonna be a good day when the math teacher pulls this out.

When I watch it, it gives me a relief. I really like it❤

As a math and sciences major, alongside being a tutor for highschoolers I absolutely LOVE this animation. What amazes me more is this is how some of my students visualize math, and its incredible.

@mebin3059

10 ай бұрын

exactly like this or in some way similar?

@superninja7977

10 ай бұрын

bro that's cap, no one visualizes math as an epic battle using imaginary numbers

@_.baited._

10 ай бұрын

What? As nukes?

@Beagle36

10 ай бұрын

@@mebin3059 similar ways. I’m referring to early on in the video.

@mebin3059

10 ай бұрын

@@Beagle36 oh cool same 👍

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

@Erizo_

9 ай бұрын

YES!

@Neo-kc2zj

9 ай бұрын

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

@Angry_ni-

8 ай бұрын

This is already that but better ngl

@Jack-ht3lr-28

8 ай бұрын

Why is it always like this? 4:04

@jhen6671

8 ай бұрын

I would literally go insane if that happened.

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

I need more videos like this ❤

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

10 ай бұрын

Bro became Einstein by examining with numbers and stuff

@PurpleHeartE54

10 ай бұрын

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

@Theriople

10 ай бұрын

@@Aku_Cyclone ???????

@Redanimations424

10 ай бұрын

​@@PurpleHeartE54:/

@PurpleHeartE54

10 ай бұрын

@@Redanimations424 It's facts though.

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

@GoodMat66

10 ай бұрын

134 likes and no replys? Let i fix it

@GoodMat66

10 ай бұрын

xD

@Red_MOON187

10 ай бұрын

A death star

@RylishZaliou12

10 ай бұрын

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

@livethefuture2492

10 ай бұрын

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

This Video Is Really Amazing, I'm A Maths Lover🤩 & I Never Seen Such An Amazing Mathematical Animated Fighting Scene With Perfect Mathematical Logics😲❤

This is a masterpiece. Bravo!

Unironically, something like the beginning with all the playing around with numbers and math in an open space would be a sorta cool “Im bored” vr game, seeing how different math works like multiplications and division in a 3D space, and how complex equations could play out just messing with numbers.

@Abadraco

10 ай бұрын

Playing with the Desmos calculator in VR. I love it.

@Nobodyshere1105

10 ай бұрын

This is a good idea, maybe you could sell it.

@SergioEduP

10 ай бұрын

​@@AbadracoI would pay for a "game" like that

@goldnewofl76

10 ай бұрын

would especially be cool to see those infinite 0's dropping down

@SplatRina

10 ай бұрын

i need this so badly now

the actual math: 0:06 1 0:13 equations 0:18 addition, positive integers 0:34 base ten, 0 as a place holder 0:44 substitution 1:20 subtraction 1:31 0 1:34 -1, preview of e^(iπ) = -1 2:10 negative integers 2:16 double negative makes a positive 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 3:30 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 8:22 Euler's formula + complex trigonometry 8:29 sinθ/cosθ = tanθ, function f(x) = 9*tan(πx) 9:57 limits, integrals to handle infinity 13:01 factorial --> gamma function 13:04 n-dimensional spheres 13:31 zeta, phi, delta, aleph

@Agustincito11-jw2yv

8 ай бұрын

That guy really took the time to write all of that a round of applause

@marcusscience23

8 ай бұрын

copied from me

@beybsmendoza652

8 ай бұрын

First day

@beybsmendoza652

8 ай бұрын

If may not be provided

@Minecraftbfdilover

8 ай бұрын

cool

Me encantan tus animaciones, sigue asi, eres el mejor.

Masterpiece, you need to create more animations! Side note: thanks for inspiring me to post animations lol

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

@runstarhomer2754

10 ай бұрын

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

@Genisis1082

10 ай бұрын

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

@I_killed_that_beard_guy

10 ай бұрын

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

@allrightformugiwara2656

10 ай бұрын

He called e the negative one

@salitroka9661

10 ай бұрын

facts

Some of my favourite things from this masterpiece I noticed: 1:39 e^iπ = -1 1:49 Multiplying by i probably can be represented here as moving to another dimention (of complex numbers) as they're located in a real one 2:37 The division here for a÷b=c is interpreted as "c is how many times you must subtract b from a to get 0" which easily explains later why you can't divide by 0 3:08 The squared number is literally interpreted as a square-shaped sum of single units 4:12 The e^iπ tries to run away to another dimention again by multiplying itself by i but TSC hits it with another i so i×i=-1 returns it back to real numbers 4:16 The e^iπ extends itself according to Euler's formula 4:19 TSC gets hit with minus so he flips 4:22 The reason why e^iπ rides a semicircle comes from visual explaining of e^iπ=-1. e^ix means that you return the value of a particular point in complex plane which you get to through a path of x radians counterclockwise from 1. Therefore e^iπ equals to -1 because π radians is exactly a semicircle. When the e^iπ sets itself to 0 power (e^i0) it returns back to 1 through a semicircle because well 1 is zero radians apart from 1. 4:46 When "+1" and "-1" swords cross they make a "0" effect 4:48 The e^iπ makes a "-4" sword which destroys TSC's "+1" sword making it zero, and as a result e^iπ is now holding "-3". Then the same thing repeats with "-3" and "-2". 4:53 The "2×2=" bow shoots fours 4:55 As I explained above, e^(iπ/4) means you move exaclty π/4 radians (quarter semicircle) counterclockwise 5:06 When you multiply a number by i in complex plane you just actually rotate the position vector of this number 90° counterclockwise, that's where a quarter circle came from 5:39 Each segment here is a radian, a special part of a circle in which the length of the arc coincides with the length of the radius (it's also shown at 5:46); the circle has exactly 2π radians which you can visually see is about 6.283 6:38 Visual explanation of π radians being a semicircle 6:48 Geometric interpretation of sinusoid 7:08 TSC once again multiplies the sine function by i which rotates its graph 90° 7:36 The sum literally shoots its addends so the value of n increases as the lower ones have just been used; you may also notice that every next addend gets the value of n higher and higher as well as extends to its actual full value when explodes 7:45 TSC multiplies the circle by π so he gets the area and can use it as shield 8:04 TSC uses minus on himself so he comes out from another side 8:17 The sinusoid as a laser beam is just priceless 9:02 Multiplying the radius by π here is interpreted as rotating it 180° 9:23 +7i literally means 7 units up in complex plane 9:38 Here is some kind of math pun. TSC shoots with infinity which creates the set of all real numbers (ℝ). With every other shot he creates another set which represents as ℝ², ℝ³ etc. It also means span (vector) in linear algebra and with every other ℝ this vector receives another dimention (x₁, x₂, x₃ etc.). 9:58 The sum monster absorbs infinity (shown as limit) and receives an integral from 0 to ∞ 13:34 The golden ratio (φ) when approaching e^iπ takes smaller and smaller steps which shorten according to the golden ratio (each step is about 1.618 shorter than the previous one) 13:46 Aleph (ℵ) represents the size of an infinite set so is presented here as enormously sized number

@plyrocea

10 ай бұрын

now i respect u too

@Exxtream

10 ай бұрын

same, he probably took a long time to write this since it has 26 lines in it, huge respect

@plyrocea

10 ай бұрын

@@Exxtream and i am doing math homewwork rn , related to circles and R :D

@geoffryaycardo

10 ай бұрын

Amazing

@skyluf4655

10 ай бұрын

@@plyrocea You know that he copy pasted it right?

I LOVE YOUR ALL OF YOUR VIDEOS

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

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!

@zylerrogers69

7 ай бұрын

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.

@ANoticer

7 ай бұрын

nobody cares bro

@notdead5837

6 ай бұрын

@minervatolentino8481 Maybe because they might not speak english???

@boomaletslearntogether

6 ай бұрын

@@minervatolentino8481 because there are already uploaded some reviews in English I just added subtitles in English and explain in Urdu

@FractalSpaces

5 ай бұрын

@@zylerrogers69 i struggle too! Not to self diagnose but,maybe i have hyperphantsia too

10:02 cute voice

@GravelTheFox

10 ай бұрын

WAAAAAAH >:(

@ExellerYT830

10 ай бұрын

I think he say is charged

@DefpixZ

10 ай бұрын

"wahhh" -e^iπ

@Truewolfguy

10 ай бұрын

WAAAAH

@KaidenPvP15

10 ай бұрын

"waaah" - e 2023