Reacting to Animation Vs Math WOW I'm Dumb!😭

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We are reacting to Alan Becker Animation Vs Math, who knew mathematics could get this aggressive!
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Video: • Animation vs. Math

Пікірлер: 595

  • @ecko
    @ecko Жыл бұрын

    *WOAHHHH! Who knew Math could get so intense and aggressive! Apart from me being an absolute dumb dumb, I enjoyed the awesomeness behind this animation!* *Ok that division one was a mistake! I'm not that much of a dumb dumb!!!!* Book Me! www.cameo.com/eckosoldier Creator: www.youtube.com/@alanbecker Video: kzread.info/dash/bejne/dGV-mLGuZNSepqg.html more AB reacts - kzread.info/dash/bejne/X2R_16SJgpa1paw.html

  • @hungariancountryball2928

    @hungariancountryball2928

    Жыл бұрын

    Same

  • @LarryEntertainmentYt

    @LarryEntertainmentYt

    Жыл бұрын

    ya this video dumb founded me

  • @desireesmedley3807

    @desireesmedley3807

    Жыл бұрын

    E

  • @Aragon737Ultra

    @Aragon737Ultra

    Жыл бұрын

    i cant wait for language vs animation o wait imagine music vs animation green vs a musical note would break the internet

  • @Soul6494

    @Soul6494

    Жыл бұрын

    You aren't the only one confused about math I graduated but I looked up every math question

  • @Japan74942
    @Japan74942 Жыл бұрын

    1:07 law of equality 1:26 discovery of the digit "0" 2:23 every number is unique 2:36 discovery of subtraction 2:46 discovery of negative numbers 2:51 -1=e^iπ (i=imaginary, which unlocks graphs) 3:03 (based on math graphs) a line (x) multiplied by i, the line (x) will be rotated 90 degrees or π÷2 radians, which in this video, it just teleports you in another dimension 3:36 discovery of multiplication 3:47 discovery of division 3:48 representation of the easiest way to divide natural numbers (1, 2, 3 etc.) 4:01 division by zero is invalid 4:17 6^2=6*6=6+6+6+6+6+6 (the sign "^" represents the power of n, and if you didn't know, n is short for number) 4:27 our 3D cube but made out of the digit "1" 4:29 4D hypercube made out of the digit "1" 4:33 5D hypercube made out of the digit "1" 4:35 n^0=1 4:43 n^-1=1÷n 4:50 n÷(1÷2)=√n (√n means square root of n) 4:55 discovery of irrational numbers (and that huge number isn't simplified) 5:45 discovery of complex numbers 5:56 remember e^iπ? i said that e^iπ=-1, and it was shown 2 seconds ago that i*i=-1, so i*i=e^iπ. so basically, i*i*i=i*-1=ie^iπ. 6:07 (based on math graphs) if a line (x) is multiplied by 2i, the line (x) just gets reversed. 6:11 e^iπ=cos(π)+isin(π) (formula for e^iπ) 7:13 discovery of graphs 7:31 representation of a circle in mathematical graphs 7:36 2π radians can actually fully complete the circle 7:46 1 radian arc is enough to calculate the radius of the circle 7:53 θ appeared for no reason, it's like going to a party without even being invited (from 8:17 to 8:23) for people that are still at school, DO NOT DO THIS IN EXAMS 8:43 sine and cosine waves discovered 9:05 the i*sine wave makes a type of a 3D tube with a bunch of gaps 9:13 the combination of cosine and i*sine leads to the formula that made e^iπ 9:30 expansion of e^iπ 10:10 he multiplied a unit length by 4 to get to the white line and throw himself up, then he got the dot from the white line and hit the expansion of e^iπ with an infinite sine wave 10:18 e^iπ=cos(π)+isin(π)=e^iπ+e^-iπ÷2+e^iπ+e^-iπ÷2i 10:28 he just made a mathematical gun, nothing to explain here 11:25 Today, we're sponsoring... THE INFINITY GUN!!! Unlimited bullets, unlimited range! Buy now! 🤣🤣🤣 11:55 the E-MECH 11:57 YAEEEEH! (starts the battle) 12:30 mathematical laser :) 12:45 the mech can't handle multivariable things so it got destroyed 13:01 radius 100 laser 13:19 e^iπ goes into the 90 degree rotated dimension but the stickman also known as TSC follows e^iπ into the dimension 14:09 TSC begs for e^iπ to show him the exit 14:20 TSC spells "exit" with e^iπ's symbols 15:20 TSC banishes out of existence if this helped you (except 11:25, 11:55, 11:57 and 12:30), give this a like!

  • @Japan74942

    @Japan74942

    Жыл бұрын

    Thank you so much for pinning the comment! (or at least i think its pinned)

  • @zhujinresurrecion3007

    @zhujinresurrecion3007

    11 ай бұрын

    Albert Einstein Be like. 😂

  • @ZAN3X312

    @ZAN3X312

    10 ай бұрын

    🤓

  • @ZerickKilgore

    @ZerickKilgore

    7 ай бұрын

    52nd like

  • @crazymonkey3825

    @crazymonkey3825

    6 ай бұрын

    Genious....

  • @ClockMaster_3100
    @ClockMaster_3100 Жыл бұрын

    What’s hilarious is that Alan managed to make all the math problems in this video valid

  • @MicherGDReal

    @MicherGDReal

    Жыл бұрын

    Alan actually didn't plan the animation his animation leader did since the animation leader loved math so much.

  • @violentwhite

    @violentwhite

    Жыл бұрын

    @@MicherGDReal🤓

  • @Notathreelettername

    @Notathreelettername

    Жыл бұрын

    Some of the math isnt actually valid i think

  • @Mpkki

    @Mpkki

    Жыл бұрын

    ​@@NotathreeletternameOnly one minor thing he did. Everything else is mathematically accurate

  • @nualasagoofyahhcat

    @nualasagoofyahhcat

    Жыл бұрын

    @@violentwhite who uses the nerd emoji, is thou nerd emoji

  • @IFP_G
    @IFP_G Жыл бұрын

    everything in this animation is suppose to be as mathematically correct, which is shocking

  • @ecko

    @ecko

    Жыл бұрын

    🤯

  • @panrex2451

    @panrex2451

    Жыл бұрын

    Most of it is, but there are some small errors in some of the advanced equations. Just some nitpicks though

  • @brothdian

    @brothdian

    Жыл бұрын

    ​@@panrex2451good gods y'all found mathematical mistakes in the video

  • @Doma6945

    @Doma6945

    Жыл бұрын

    @@brothdian fax lol

  • @bacon_loving

    @bacon_loving

    Жыл бұрын

    Densebysebyhdehhn

  • @Magicwaterz
    @Magicwaterz Жыл бұрын

    I am no math person but when TSC confronted the giant "mech" equation, he tried to shoot it with his function of the tangent infinity gun, only to be stopped by it with the integral limit. Limits are self explanatory as it only allows equations to be done at a certain "limit". However, later on, TSC modified his gun to use the cosine and i sine as the trigger, making the function of tangent infinity gun a multi-variable shot, which yields the values of cosine, i sine, and tangent, which the "mech's" integral limit shield cannot handle as it can only do single variables.

  • @nitromiyazaki
    @nitromiyazaki Жыл бұрын

    14:20 TSC spelled out the word “exit”, telling Euler’s number that he wants to exit this weird universe.

  • @gustavofabiani5153

    @gustavofabiani5153

    Жыл бұрын

    For me is like a dimension Like He is on the 1° dimension But He belongs to the 4° dimension Thats What i understand

  • @zacharylambert3771
    @zacharylambert3771 Жыл бұрын

    The creativity in this is amazing, and it actually makes sense! All of the equations and operations listed have correlation to what's happening!

  • @ecko

    @ecko

    Жыл бұрын

    Oh don't get me wrong this is a masterpiece

  • @rafexrafexowski4754
    @rafexrafexowski4754 Жыл бұрын

    Let me explain all the things you were confused about in the video. I'm doing this from memory so I hope I won't make any stupid mistakes. I'll be using programming math notation, so here's what it is: = is the equal sign + is addition - is substraction * is multiplication / is division ^ is power (2^4 is two to the power of four, so 2^4 = 16) 2:50 - Euler's formula. e^(i*pi) = -1. In a more general sense, e^(i*x) = cos(x) + i*sin(x) (in the case of x = pi by definition cos(pi) = -1 and sin(pi) = 0, so e^(i*pi) = -1 + 0*i = -1 + 0 = -1). The constant e is what's called Euler's number, one of the most important mathematical constants. It is equal to 1 + 1/1 + 1/(1*2) + 1/(1*2*3) + 1/(1*2*3*4) + 1/(1*2*3*4*5)... which equals around 2.718. The constant i is what's called an imaginary number. i^2 = -1, which seems impossible as two negative numbers multiplied by each other always equal a positive number. Pi is also a very important constant in math, equal to around 3.142. It is the number you get if you divide the circumference of any circle by its diameter. For now however you only need to know that e^(i*pi) = -1. 3:00 - Euler's number multiplies itself by i, making it an imaginary number and transporting it to the imaginary number space. 3:46 - This is a method of of quickly dividing large numbers. You substract the divisor from the divided number multiple times until you are left with a number smaller than the divisor. The solution is the number of times you substracted plus the number you are left with divided by the same divisor. This breaks with dividing by 0 (which is left undefined because everything suggests that the solution is infinity, but that would make all numbers equal to each other; I won't explain it here, just google why you cannot divide by 0). 4:34 - You seem to be confused about taking something to a power higher than 2. This is actually quite simple. x^5 for example is x*x*x*x*x, so 4^5 = 4*4*4*4*4 = 16*4*4*4 = 64*4*4 = 256*4 = 1024. Taking something to the power of 0 is shown later. Every number except 0 that is taken to the power of 0 equals 1 for reasons I won't get into here. Negative powers are later shown, which are also very simple. x^-y = 1/(x^y). So 4^-2 = 1/(4^2) = 1/16. 4:50 - Square root. A sqaure root is synonymous with taking a number to the power of 1/2. In programming you usually write the square root as sqrt(), but in math it's written like in the video. It's sort of like a reverse to squaring a number. The sqrt(4), the one shown first in the video, is equal to 2 because 2^2 = 4. The sqrt(9) = 3 because 3^2 = 9. The sqrt(1) = 1 because 1^2 = 1. Sqaure roots of numbers that are not perfect squares (0, 1, 4, 9, 16, 25, 36...) will be hard to write with an unending sequence of numbers after the decimal separator (the little period signifying a non-whole number). The sqrt(2) shown in the video is equal to around 1.414, but the actual number is infinitely long if you want to write it. It is however very useful in math. For example the diagonal of a square is always sqrt(2) times the edge of the square. 5:44 - As I previously stated, this is the constant i. i^2 = -1, so sqrt(-1) = i. 6:08 - Orange throws an i at the Euler's number, which is trying to multiply itself by another i to escape to the world of imaginary numbers. This causes them to combine into i*i, which are equal to -1 by definition. This makes the Euler's number equal to -1*-1 = 1, which is not an imaginary number. This is why it gets thrown out back into the world of real numbers. 6:10 - Here Euler's number uses Euler's formula to become cos(pi) + i*sin(pi), which I explained earlier. 6:18 - Euler's number takes out its own pi, which is equal to 180 degrees in a unit of angle called radians (a radian is a unit of angle in which 1 is equal to the legth of the radius of the circle that the angle creates; this means that by definition pi is half of the circle). More of this will be seen later. 6:50 - Here Euler's number has its pi divided by 4, which makes it move by 45 degrees, which is in radians equal to pi/4. Again, more on this later. 7:02 - Orange uses i to rotate him 90 degrees. This is not because of some radian calculation (i cannot even exist as a value in geometry), but because the imaginary and real axis of number are usually shown together on a plain of so-called complex numbers. The axis of the imaginary numbers is vertical and the axis of the real numbers is horizontal, so by multiplying any complex number by i you "turn" it by 90 degrees anticlockwise. This will be shown more clearly in a second. 7:13 - This is when the plain of complex numbers is shown. The first axis drawn by Orange is the imaginary vertical one. The second is the real horizontal one. 7:34 - These are the radians I talked about earlier. The circle can be divided into six segments the size of one radian (one length of the radius) and a small part that makes the total circle slightly larger. This is because the total angle inside the circle, or 360 degrees, is by definition equal to 2*pi, or around 6.283. 7:39 - Orange takes out a single radian, which, as I said, is the size of the radius of the circle. 8:00 - Here the r is the radius of the circle and the weird 0 with a line through it, which is a Greek letter called theta, is the most common symbol used for an angle, especially in physics, but also in math. Orange uses them to get the angle at which the radius is orientated, which is pi at 180 degrees (facing left). 8:38 - I'm not really sure how exactly Orange got the trigonometric functions here, but the sine and cosine functions are highly connected with pi, as the waves of both create sort of "circles" and go through the x axis in intervals of pi. 9:04 - Again we see the sine function multiplied by i to turn it 90 degrees 9:29 - This symbol that Euler's number turns into here is called sigma, and it is again a Greek letter. It is used to not do what I've done while explaining what e is at the beginning and write out a sum with an ellipsis at the end. It is used to write a sum of any large amount (potentially infinite) of numbers if there is a rule that connects them all. For example to get the sum of all the natural numbers up to ten with each number divided by 2 you start with the big E-like thing (sigma), you write the number you start with below the sigma, starting with n= (in this case n=0, which means you start with 0), then you write the number you end at above the sigma (in this case 10). Finally you write the formula to get the specific numbers to the right of the sigma (in this case we want each number to be divided by 2, so we write n/2). I will from now write it as sigma(below: n=0; above: 10; function: n/2). In the case of the video we use the sum from the definition of e, which is e = sigma(below: n=0; above: infinity; function: 1/n!). The ! sign in math is called the factorial and is the multiplication of all numbers up to that number starting from one. So 3! = 1*2*3 = 6, 5! = 1*2*3*4*5 = 120, 1! = 1 and 0! = 1. In the video we see a different sum because the number that is equal to the sum is e^(i*pi), not e. This is why we get sigma(below: n=0; above: infinity; function: (i*pi)^n/n!) in the video. You can also see that the missiles shot by the sigma sum are actually the elements of the sum one after another ((i*pi)^0/0!, (i*pi)^1/1!, (i*pi)^2/2!...). 9:58 - This is actually a thing in math. A negative vector is its positive version rotated in a vector space. The video later confirms that this is a vector space, which I will point out. 10:25 - Orange divided the sine by the cosine of the same angle (pi or 180 degrees), which equals the tangent of the same angle. In mathematical notation: sin(pi)/cos(pi) = tg(pi). I think this is all combined into a tangent function times 9i, but even if it's not, it's definitely some kind of function even though it doesn't have an x parameter. You can actually see the bullets of the weapon leave a trait of tangent functions if you look closely. 10:57 - Here pi is used to rotate the radius by 180 degrees. 11:34 - This confirms that the circle is indeed a vector space. 12:12 - 9i is used to move the circle up by nine (remember the imaginary axis?). 13:21 - Orange and Euler's number end up in the world of imaginary numbers as they have been multiplied by i. They also end up rotated 90 degrees counterclockwise, which is again the result of them being multiplied by i. 14:22 - Orange spells exit here using the Euler's number as e, a multiplication sign as x, the i constant as, well, i, and a half-covered pi as a t. 14:58 - n! is turned into the gamma function, which I will describe as gamma(n - 1). By definition of the gamma function gamma(n) = (n - 1)!. It is not really that important, just explaining what the weird letter in the equasion is. 15:08 - Euler's number adds more and more "volume" to the circle with each use of the function. It's too complicated to explain in a KZread comment. 15:28 - The different letters here are different constants in math. I am not really sure what the tall bouncing one is, it is the Greek letter zeta but there is only a zeta function, not a zeta constant. The weird o with a line through it one the left is phi, the famous and very useful golden ratio. Phi = a/b = (a+b)/a = around 1.618. The flying letter is delta, the first Feigenbaum constant, which is too complicated to explain here, but it equals around 4.669. The giant letter at the end is aleph, a type of infinity (yes, there are different types and sizes of infinity in math). There is an infinite amount of alephs, the most commonly used one is aleph-zero, the sum of any infinite set of whole numbers I know this is all very simplified for the math nerds reading this, but this is a very long comment and I just want to finally finish writing this.

  • @eggilles4261

    @eggilles4261

    Жыл бұрын

    Wow very long comment

  • @HapxDev

    @HapxDev

    Жыл бұрын

    is f in tsc's gun also a constant?

  • @rafexrafexowski4754

    @rafexrafexowski4754

    Жыл бұрын

    @@HapxDev It's a function, which takes the variable in brackets, plugs it into a formula and equals the solution of that formula. For example: f(x) = x^2 + 2x + 3. That means that f(2) = 2^2 + 2*2 + 3 = 11. And that f(3) = 3^2 + 2*3 + 3 = 18. You can use a plain to visualize a function, so that the horizontal axis are all the possible x's and the vertical one are the f(x)'s that are given out for each x. This particular function will create a curve known as a parabola (google it if you want to see one. But for example f(x) = 2x + 3 will simply create a diagonal line, f(x) = 2^x will create an exponentially growing function, f(x) = log(x) will be the opposite, creating logarithmically smaller and smaller numbers getting closer to 0 (which is in this case what's known as a limit - a maximal value the function will reach at a certain point, in this case at x = positive infiniry). f(x) = sin(x) will create a sine wave and f(x) = tg(x) will create a weird rotated S-like pattern. Functions are what's covered in the branch of maths called the mathematical analysis.

  • @ecko

    @ecko

    Жыл бұрын

    Holy smokes now that’s the kinds of comments I love to see!!!!

  • @HapxDev

    @HapxDev

    Жыл бұрын

    @@ecko dayum

  • @Theawesomeninja_XD
    @Theawesomeninja_XD Жыл бұрын

    The symbol at 5:02 is the square root. It's kinda the opposite of squared. (Remember that a number squared means a number multiplied by itself once) For example, 2 squared is 4 so the square root of 4 would be 2. The square root of two would be a decimal since no whole number multiplied by itself is 2. Hopefully that makes sense; I'm not great at explaining.

  • @GuyllianVanRixtel

    @GuyllianVanRixtel

    Жыл бұрын

    What is the giant N at the end?

  • @GuyllianVanRixtel

    @GuyllianVanRixtel

    Жыл бұрын

    nvm

  • @MrKneeBeeYT

    @MrKneeBeeYT

    Жыл бұрын

    What is the N?

  • @GuyllianVanRixtel

    @GuyllianVanRixtel

    Жыл бұрын

    @@MrKneeBeeYT Aleph

  • @Samuel2010

    @Samuel2010

    Жыл бұрын

    Where u learn this

  • @AzurtX
    @AzurtX Жыл бұрын

    Math is surely complex and interesting at the same time, just lacks fun to be fully understood and this is what I call Math being fun. And now I saw or just had a witness or preview of whatever else Math has prepared ahead for me and for everyone else like me.

  • @kriskros763
    @kriskros763 Жыл бұрын

    14:24 that ain't an equation. A lot of people mistake this, but Alan himself stated that the consecutive characters spell out 'exit' as TSC (Orange) wanted a wait out of this "math dimension"

  • @theanimator6890
    @theanimator6890 Жыл бұрын

    If I learnt math like this I would like math more Edit: the e with pi symbol represents -1 or imgainary unit and the e means euler

  • @Red_MOON187

    @Red_MOON187

    Жыл бұрын

    So if e i pi is -1 and TSC is 1, is that the reason they're fighting? As opposites? And the ending -1 had literally subtracted TSC?

  • @theanimator6890

    @theanimator6890

    Жыл бұрын

    @@Red_MOON187 no based on the story of the episode -1 is being chased by orange because he wants to get out but it could also be your explanation

  • @Red_MOON187

    @Red_MOON187

    Жыл бұрын

    @@theanimator6890 I know why they're actually fighting. I just found the opposites idea interesting.

  • @kovacskenez8946
    @kovacskenez8946 Жыл бұрын

    I love how he can just press together the equal sign and it automatically does the equation even though its already solved

  • @Pat.m2008

    @Pat.m2008

    Жыл бұрын

    The equal sign compresses it

  • @minionthecrek794
    @minionthecrek794 Жыл бұрын

    Did you know what those things in the end? It was the Greek math symbols. for example: the long thing was 7 the s combine with the o was 4 o with a line was 21 and the big thing was infinity

  • @Walker74382

    @Walker74382

    Жыл бұрын

    u mean zeta and delta and stuff? those have other uses other then being normal number (they can be used for stating numbers beyond infinity like omega (w)

  • @HokoraYinphine

    @HokoraYinphine

    Жыл бұрын

    the big thing would be aleph aleph_0 being the smallest cardinal infinity

  • @nate0___

    @nate0___

    Жыл бұрын

    ​@@Walker74382zeta is also the symbol for the rienmann zeta function

  • @Idk71568

    @Idk71568

    Жыл бұрын

    @@HokoraYinphineyeah and omega would actually be infinity

  • @HokoraYinphine

    @HokoraYinphine

    Жыл бұрын

    @@Idk71568 omega isnt in the video though?

  • @Commonbrother1
    @Commonbrother1 Жыл бұрын

    The only reason I watch these reactions for this video is just to see people trying to get the math lol

  • @doublegfernandez4594
    @doublegfernandez4594 Жыл бұрын

    Secret ending: it turns out the black void, was Alan’s calculator, and he’s like: Guys, what happened to my calculator? And TSC is just:……..*silently walks away*

  • @MathOverChemistry
    @MathOverChemistry Жыл бұрын

    Summery :) 0:14 the number 1, also equalities 0:27 addition 1:32 subtraction 1:42 negative numbers 1:48 Euler’s identity, in trig, a number in the form e^ix can be represented as a point on the unit circle (circle with radius one whose center is the origin on the complex plane), the x is the angle in radiants at which the point is located, since pi radiants is 180 degrees, the identity equals -1. 2:25 double negative makes positive 2:32 multiplication 2:43 division 2:57 dont divide by 0, please 3:14 positive exponents 3:38 negative exponents 3:44 rational exponents/ radicals 3:59 Imaginary numbers, normally you can’t take the principal square root of a negative number, so some old smart guy made imaginary numbers (i) where I squared is -1. 4:22 the euler identity tried to escape by multiplying itself by i, but the i that was thrown made the i into a -1, which is why when the eulers identity went through the wall, it didnt dissaper 4:25 trigonometry representation on eulers identity, sometimes written as cis (cos + isin) for anyone studying trigonometry, you know the beauty of working with complex numbers in trig form 4:31 pi radiants is 180 degrees thus the half circle 4:28 the - flipped the orange guy 5:01 the bow is made up of two twos, a multiplication sign, and an equal, so it shoots out 4s 5:04 pi/4 rad is 45 degrees so the circle isn’t complete 5:26 complex plane( reals on x axis imaginary on y) 5:43 unit circle 5:50 2pi rad in circle 5:57 definition of radiant 6:12 r is radius, theta is angle 6:46 pi :) 6:52 cos and sin, and how their graphs are drawn using the unit circle. 7:17 i rotates the sin wave 90 degrees 7:28 same eulers identity 7:43 Taylor series (complicated stuff) if im wrong plz correct me 7:53 circle and cylinder 8:11 orange guy uses the - to go to the opposite side 8:33 complex definitions of sin and cos (rest in reply’s cause it’s getting too long)

  • @MathOverChemistry

    @MathOverChemistry

    Жыл бұрын

    8:39 sin/cos = tan 8:51 tan waves on the balls 9:12 pi radiants so rotated 180 degrees 9:37 infinity 9:47 real thing (idk formal name) the exponent next to the real is the amount of reals, so when the exponent is 4, all four variables all belong to the reals 9:54 sick animation, also all the expressions are equivalent 10:07 integrals can Handle infinity, thanks to limits 10:28 +9i moves up 9 10:58 one integral can’t Handel multi variable stuff 11:08 big radius 11:15 death laser of trig 11:34 they get rotated 90 degrees because of i, as stated in the video 12:46 ixixixi is 1 13:14 I have no idea what that is, I think something about n dimensional unit spheres or something. But idk 😂 someone smart plz let me know 13:44 zeta, phi, and delta 13:54 aleph nole (smallest infinity) IF I MISSED ANYTHING OR GOT ANYTHING WRONG PLZ TELL ME :) -nerdy highschool freshmen

  • @philipp1779

    @philipp1779

    Жыл бұрын

    @@MathOverChemistry I think its basically the Series of e^x because e^x = x^n/n!, Gamma (n+1) Equals to n! Because Gamma(z) = the integral from 0 to infinity from t^(z-1) *e^-t dt. Then you can say that gamma (z+1) = t(z-1+1)*e^(-t). Now do partial Integration. U= t^z, v‘= e^(-t) v= -e^(-t), u’ = z*t^(z-1)Then do u(x)*v(x) - the integral from u‘(x)*v(x). So that we have -t^z*e^(-t) from 0 to infinty + z*the integral from 0 to infinity from z*t*e^-t dt. -t^z*e^-t goes to 0 if t=infinty. At the end we have Gamma (z+1) = z* the integral from 0 to infinity from t^z-1*e^-t dt. So basically z*Gamma(z). Now we calculate Gamma (1) which equals to the integral from infinty to 0 from t^1-1*e^-t dt. Which is the integral from 0 to infinity from e^-t dt. The integral from 0 to infinity from e^-t = 1. Now we say that Gamma (n) = (n-1)! Because Gamma (1)=1 which is as you probably know 0!. In total we have now Gamma (n+1) = n*Gamma(n). n*Gamma(n) = n*(n-1)! Which is n!. When 2n= Infinity then is n = infinity/2 as well so gamma ((infinity/2)+1) is the same as gamma (n+1). If i*pi is x Then we have (i*pi)^n/n! = e^i*pi. I hope you already did partial integrations. Anyways there is a Formular that can be used to calculate the volume of a n-dimensional sphere which is quite similar. (Pi)^n/2/gamma(n/2+1). I Hope I was able to help you. I know its probably difficult to read that over the screen. (And please dont take it too seriously, if I have made a mistake. Even for me it was hard to write everything down)

  • @MathOverChemistry

    @MathOverChemistry

    Жыл бұрын

    @@philipp1779 Ahhhh that makes more sense, Thanks :)

  • @philipp1779

    @philipp1779

    Жыл бұрын

    @MathOverChemistry Youre still in high school right? That is actually quite Impressive.

  • @MathOverChemistry

    @MathOverChemistry

    Жыл бұрын

    @@philipp1779 thanks 😀

  • @hootowl9006
    @hootowl9006 Жыл бұрын

    Really enjoyed your reaction to this animation! Was good in math but I had trouble following what was going on in the video. Keep up the amazing content! Hope you are having a fantastic day! Take care.

  • @craftyard9217
    @craftyard9217 Жыл бұрын

    I see a math teacher smiling ear to ear watching this animation

  • @user-jm8ee7kz7r
    @user-jm8ee7kz7r Жыл бұрын

    15:00 he uses infinite amount of dimension to make him return

  • @gamermc3454
    @gamermc3454 Жыл бұрын

    ecko, your not alone with your hatred of math.

  • @illumin42
    @illumin42 Жыл бұрын

    TSC was fighting something called the Euler's Identity, which is SUPER important in the whole of MATH (just like how Pi is important), and that's probably why TSC keeps getting it by mixing random operations and numbers. The Euler's Identity consists of 3 important variables. e = 2.71 and e is raised to ( i multiplied by Pi ) i = A special symbol for Imaginary; Hence it is the answer to the square root of -1. It's imaginary but it is still represented by something Pi = 3.141592 obviously

  • @Maribel.alvarez
    @Maribel.alvarez Жыл бұрын

    how math teachers see math

  • @GoofyAhhBoxy

    @GoofyAhhBoxy

    Жыл бұрын

    They actually see it as fun but we see it as “explain why the triangle is a triangle by using rocket science in 2 minutes.”

  • @mickspogsroadto500subs2

    @mickspogsroadto500subs2

    Жыл бұрын

    ​@@GoofyAhhBoxy"explain this (8>6)"

  • @mikesnapper9001
    @mikesnapper9001 Жыл бұрын

    14:20 that wasn't an equation, it spelled "exit"

  • @B12XD
    @B12XD Жыл бұрын

    If i had a math class like this im alaways awaken no skiping this is masterpiece

  • @ecko

    @ecko

    Жыл бұрын

    I knew some people would love this, I’m just a letters person not numbers 😂

  • @noatouw

    @noatouw

    Жыл бұрын

    @@eckothen do 2a + 7b and 6ab • 4c lol

  • @noatouw

    @noatouw

    Жыл бұрын

    @@eckobtw where is ur discord server?

  • @noatouw

    @noatouw

    Жыл бұрын

    @@eckothe symbol u last used when u was 15 was a carrot/square root

  • @Mysteriousmachine1

    @Mysteriousmachine1

    Жыл бұрын

    ⁠​⁠​⁠@@noatouwthe algebra you stated is just an expression, not an equation. To “do” 2a + 7b is a meaningless request, therefore you must be jokin’ m8!

  • @rmnc-qf4fp
    @rmnc-qf4fp Жыл бұрын

    I like how he’s confused by division

  • @JustLiam5720
    @JustLiam5720 Жыл бұрын

    even a stick figure can learn everything in math in just a matter of minutes 💀💀👍👍

  • @Walker74382
    @Walker74382 Жыл бұрын

    e^i(pi) is equal to the huge floating Taylor series seen shooting out numbers as they are equal to -1 so that is basically a Taylor expansion of e^i(pi) In the end where tsc is teleported each new circle represents a new dimension (0d for a point, 1d for a circle which is a line, 2d another circle and so on) and when e^i(pi) adds an i the whole equation is simplified into -1 equals to -1 in the end the huge grey thing is called Aleph null (0) which is basically all natural numbers (normal numbers) in 1 so from 0 to the end of the number, it is a inaccessible number as you cannot get it by any means it is also the smallest infinity there is. edit: omg im kinda famous

  • @Walker74382

    @Walker74382

    Жыл бұрын

    and i is a short form for imaginary number which is equal to squareroot of -1 so 4i would be 1 as 2i cancel the square root and 2i x 2i would be 1 so 2i would be equal to e^i(pi) so when ie^i(pi) goes through a portal tsc throws another i into it turning back into -1 making it impossible to go through the portal

  • @Walker74382

    @Walker74382

    Жыл бұрын

    btw also e^i(pi) is equal to -1 and also cosine(pi) x isine(pi) and those can be expanded to create even more -1s (e^i(pi))

  • @Walker74382

    @Walker74382

    Жыл бұрын

    and lastly the dot represents the complex plane

  • @ecko

    @ecko

    Жыл бұрын

    So you’re a numbers kinda guy then 😂

  • @Walker74382

    @Walker74382

    Жыл бұрын

    @@ecko no haha not really i just like watching documentaries edit: i like science so thats why

  • @user-iGb
    @user-iGb Жыл бұрын

    11:54 congratulations you have found a boss from dark souls ⚔️

  • @randombleachfan
    @randombleachfan Жыл бұрын

    The symbol you see at 5:00 is called Square root. Correct me if I am wrong, but it opposes the concept of how exponents work. At 14:21 you can see it says “exit” not really a math equation, but I can see why people may think it was a math equation lol.

  • @JoshuaGatus
    @JoshuaGatus Жыл бұрын

    Can I just say that SC made a friking DEATH STAR.

  • @ecko

    @ecko

    Жыл бұрын

    🧐

  • @dbclass4075

    @dbclass4075

    Жыл бұрын

    Multivariable infinity, which not even integrals (the "sword" of Eurler's number) can counter.

  • @TheBuilder3324
    @TheBuilder3324 Жыл бұрын

    Gotta smash that like button,you just made my day. Oh and that 6²=36 it means 6×6=36 the ² means multiply the number by itself so for example 6³=216 that means 6×6×6=216.

  • @dragoboy09

    @dragoboy09

    Жыл бұрын

    Yeah

  • @xandercreates6766
    @xandercreates6766 Жыл бұрын

    Fun fact for those who somehow didn't know: This was made with the help of a math nerd

  • @ImMrNugs
    @ImMrNugs Жыл бұрын

    Are you glad ur not in school anymore Ecko?

  • @ecko

    @ecko

    Жыл бұрын

    I loved school but I hated mathematics so much 😭

  • @ImMrNugs

    @ImMrNugs

    Жыл бұрын

    @@ecko my fav subject was science what was urs?

  • @ecko

    @ecko

    Жыл бұрын

    English, history and PE

  • @ImMrNugs

    @ImMrNugs

    Жыл бұрын

    @@ecko pe isn’t an actual subject tho-

  • @ecko

    @ecko

    Жыл бұрын

    @@ImMrNugs It was in my school as it was a sports school :)

  • @itz_rainbow_stripe6166
    @itz_rainbow_stripe6166 Жыл бұрын

    For the fact Alan had to do the maths to make this video is crazy!

  • @Pat.m2008

    @Pat.m2008

    Жыл бұрын

    It was his lead animator who made the script and had the idea. Not alan.

  • @GuyllianVanRixtel
    @GuyllianVanRixtel Жыл бұрын

    *THINK FAST! WHAT'S THE SQUARE ROOT OF A PINECONE?!* An acorn! :D

  • @livehub2246
    @livehub2246 Жыл бұрын

    I think what Alan becker is pointing out is Math can be cool. Most of the time

  • @Arfanis_7GR
    @Arfanis_7GR Жыл бұрын

    Unpopular opinion but I LOVE Math! So this was great for me!

  • @LegioSergius

    @LegioSergius

    Жыл бұрын

    Same

  • @flaregooni6697

    @flaregooni6697

    Жыл бұрын

    Unpopular opinion indeed.

  • @milesprower4463

    @milesprower4463

    Жыл бұрын

    math is really cool but the way it's taught in schools is horrid

  • @MOMKUNG999

    @MOMKUNG999

    Жыл бұрын

    i kinda like math

  • @Doma6945

    @Doma6945

    Жыл бұрын

    @@milesprower4463 true lol

  • @amandawheeler422
    @amandawheeler422 Жыл бұрын

    The Second Coming: I was forced to learn math today and I’m gonna make it everyone else’s problem

  • @Technostorm313
    @Technostorm313 Жыл бұрын

    I am back from a long break! I hope you're doing great!

  • @V12Maniac
    @V12Maniac10 ай бұрын

    I watched this video, and immediately went and watched a bunch of math videos. from algebra to theoretical type stuff. Was quite fascinating. also made me want to make a game based off of this animation.

  • @captaincookie72
    @captaincookie72 Жыл бұрын

    The cool thing to me at least is that it shows how orange "broke reality" with math and its accurate to how in pretty much every simulation possible it can be broken with math/infinity if there are no set limits or boundaries

  • @Faster-Guy
    @Faster-Guy Жыл бұрын

    this is the forth time im as- wait, he actually finally reacted, LESSGO BOIS, HE REACTED TO IT

  • @robdom91
    @robdom91 Жыл бұрын

    Numbers were really hard to learn for me too. I used to think like you do. I'm a man of words not numbers. I was really good with foreign languages and literature and I thought it doesn't have anything to do with numbers. Then I discovered computer languages! I discovered math itself is a kind of language! The one thing I was missing, the one thing that I needed to understand math was A REASON! In school, I was always taught the theoretical never the practical.

  • @Jhskhabjwduaowdhdhd
    @Jhskhabjwduaowdhdhd Жыл бұрын

    Every math teacher be like: Make a war. Me:ok that's easy. The math teacher: With math Me:wha-the the wha-t

  • @Dannigerman1
    @Dannigerman1 Жыл бұрын

    Same bro same..

  • @epikitee2186
    @epikitee2186 Жыл бұрын

    when you start dealing with i, your 1-dimensional number line becomes a 2-dimensional number plane. adding i to something is basically just moving it upwards, and multiplying by i is basically rotating it 90 degrees counterclockwise. rotate 1, and you get i. rotate i, and you get -1. (anything more complicated than this would turn into a whole wall of text, and as much as i'd enjoy writing that, i don't think it would be quite as fun to read.)

  • @Prince-of-skill-issues
    @Prince-of-skill-issues Жыл бұрын

    This is the new fighting technique called Math-fu

  • @KbIPbIL0
    @KbIPbIL07 ай бұрын

    that giant grey Aleph walking away is the stuff of nightmares

  • @autisticChronicles360
    @autisticChronicles360 Жыл бұрын

    4:59 That's the Square Root Symbol. Easiest way to remember is to tell yourself: what times itself will be equal to the number inside the square root?

  • @rifleorcagames
    @rifleorcagames Жыл бұрын

    too many references to be made!! brain overloading!!!!!!!!!!!

  • @FundamSrijan
    @FundamSrijan Жыл бұрын

    2:50 the reaction is legit and sussy too how -1 transformed to his giant form

  • @ayuangraini8693
    @ayuangraini8693 Жыл бұрын

    e^iπ is Euler's Identity and its equivalent to -1 (search it up cause it can get complicated) - √2 is irrational, which is why it has a lot of digits √-1 can't really work, so somw mathmaticians came up with i which means imaginary. - i * i * i is simple(ish). Since we know i * i is -1, we can change it to i * -1 and then to i * e^iπ - The number tries to get out by multiplying itself by i, but the orange guy (TSC) throws another one making it turn into -e^iπ. e^iπ = -cos(π)+isin(π) e^iπ-π = e^0, so it pivots around (0,0) - Too much to go through on 6:39 - Funny little thing after that, TSC makes a bow with 2×2, so it shoots out 4 e^i(pi/4) makes it rotate 45 deg counterclockwise - (the dot) Complex plain Unit circle, yippeee! 1 rad = 57.3 deg which is why it has 6.28 radians Arclength of 1 radian = 1 = radius Radius increases making the circle bigger using theta*r The thing about moving the theta is pure fun Ratio of arclength to radius at 180 deg = pi (which is also why e^i(pi/4) goes up 45 deg) cos(t) + sin(t) for unit circle i sin(t) rotates the sine curvs by 90 deg Cos(π) + i sin(π) = e^iπ fun fighting scene!!!! 2*(-π) rotates it by 180 deg twicw The thing that it turns into is the Taylor series of e^x for x = iπ TSC makes a circle then multiplies it by π to create a circle or a shield thingy 8 × π × r^2, making it a cylinder e^iπ = -1 so r-(-theta) = r+theta TSC teleports by negating his position - Too much at 10:18 for me to handle :( TSC makes f(x) = 9 tan(pi x) funny fight until 10:56 :) - i think TSC multiplies the angle by pi, making it rotate 180 deg Adds i7 to the dot making it go up by well, seven. TSC upgrades his funny shotgun by adding infinity 11:41 is just impossible to explain Integrals can handle infinites if it has a limit more FIGHTING!!!!!!! 9i shifts it up, etc. the cos(circle) + isin(circle) makes the waves from earlier, and tan just destroys everything TSC multiplies 10×10 making r=100 and the laser bigger Euler's Identity: imma head out TSC: lets make a circle and WEEEEEEEE The whole world is rotated 90 deg when multiplied by i (i dont really know why, it just does) The square roots you saw from the cracks are fully imaginary Multiplies it by i going back to the normal world - i^4 = 1 The nth term is the n-dimentional volume for a unit n-d sphere For example, 0d is a point, 2d is a circle, and so on and so forth The sum simplifies to -1, ans TSC is gone. Oh and by the way, if you want to ask questions do NOT send them here. I am not a mathmatician and I am only writing this by my findings. If you want to ask a question, go to Gallium-Gonzolium and many other explenations. They explained it very well and even i took the explenation from him!

  • @ayuangraini8693

    @ayuangraini8693

    Жыл бұрын

    correct them not me ;)

  • @annaxinnit
    @annaxinnit Жыл бұрын

    I LOVE YOUR REACTIONS.❤

  • @CHEXCALIBRUHPG3D
    @CHEXCALIBRUHPG3D Жыл бұрын

    Yeah this animation was insane

  • @superstarman6969
    @superstarman6969 Жыл бұрын

    Eko: Percentages Me: But thats division

  • @emanuelfast4293
    @emanuelfast42937 ай бұрын

    animation: spells exit, him: idk what equation this is

  • @gabegamez1018
    @gabegamez1018 Жыл бұрын

    The square route of a number (for this example we will use 4) its the result of a number times itself, so √4 is 2

  • @Disguisedgamer337
    @Disguisedgamer337 Жыл бұрын

    Also the orange stick man is called The Second Coming. Just letting you know

  • @animeforever5069
    @animeforever5069 Жыл бұрын

    Now we are connected more with eckosoldier 😂😂😂😂😂😂

  • @momeristic817
    @momeristic817 Жыл бұрын

    1. 14:22 "EXIT" 2. The "i" means imaginary numbers (numbers that don't exist) 3. Ei pi ( 2:56 ) equals to -1 idk how to explain but it does

  • @the_m_original

    @the_m_original

    Жыл бұрын

    e to the i*pi is kinda easy to look at if you are kinda nerdy (its still hard to see how and why it works like that) e to i*n is equal to cos(n) + i*sin(n) and because n is pi, it makes the cos equal to -1 and the isin to i * 0 so its just -1 + 0 and thats why e to the i*pi is -1

  • @momeristic817

    @momeristic817

    Жыл бұрын

    @the_m_original you're Incredible

  • @Eucharia_Eugene
    @Eucharia_Eugene Жыл бұрын

    Love your vids

  • @Lesley_Jnr
    @Lesley_Jnr Жыл бұрын

    Bro defined whole of reality using math😂

  • @SkyEcho751
    @SkyEcho751 Жыл бұрын

    I did a collage math course to brush up... Euler's Identity doesn't show up in it. Like at all. So don't worry about it, you'd need to really get into math to encounter it.

  • @ZudinGodofWar
    @ZudinGodofWar7 ай бұрын

    Question, do you think you could create two playlists of you reacting to Alan Beckers Animation vs Animator and Animation vs Minecraft

  • @halomastercosmana648
    @halomastercosmana648 Жыл бұрын

    I loved math and I only understood 13% of what happened

  • @orlevytraingamingreactingt2347
    @orlevytraingamingreactingt2347 Жыл бұрын

    Also the reason why the the square root of -1 equals i is because before i was a number you couldn't take the square root of -1 so they just invented a number to make it possible I'm pretty sure this also adds to every single other negative number

  • @rickgarcia2375
    @rickgarcia2375 Жыл бұрын

    Thank u for uploading this on my birthday (26th of june)

  • @PlanetEarth790
    @PlanetEarth790 Жыл бұрын

    Things you didn't know: 1. It was square roots 2. Yes, √-1 = i 3. cos(pi) + isin(pi) = e^i (pi) 4. The dot makes a circle 5. R = radius 6. T in PI means 0 7. E ^i (pi) can turned into Tylor series (hope i type it right) 8. E^i (pi) can multipled himself 9. This part i can't help, for some reason e^i(pi) turned into 0 after being shotted 10. E^i(pi) made a giant robot which even infinity can't handle back 11. 9i with move the circle 12. Cos with isin on tan will destoyed everything on it's sight 13. Imaginary numbers falls down 14. Multyplying will i will go back to the real dimension 15. It spells Exit 16. i × 4 = 1 17. Yes, e^i(pi) 18. Zeta, phi, delta and aleph arrive 19. Don't tell everyone why aleph is huge Final (20). You're clueless 😂😂😂😂😂

  • @ZerickKilgore
    @ZerickKilgore7 ай бұрын

    17:02 its collage level pretty much, e^i*theta converts from radians to complex numbers

  • @annaxinnit
    @annaxinnit Жыл бұрын

    THIS IS SO GOOD!!!🫶🏻🫶🏻😭

  • @Red_gamer5124
    @Red_gamer5124 Жыл бұрын

    i didnt even know math has alot of learning

  • @Tyger_The_Dwarf_Planet
    @Tyger_The_Dwarf_Planet9 ай бұрын

    The weird sign is called a square root and tysm for making this video 🎉

  • @radenrendra2008
    @radenrendra2008 Жыл бұрын

    I imagine math teacher will give student this video to make them motivated

  • @embrefrosste6044
    @embrefrosste6044 Жыл бұрын

    Euler’s identity, Limits, and Integrals are all like, college level math, so it’s understandable you might not have seen them.

  • @aryankala7858

    @aryankala7858

    Жыл бұрын

    Limits and integrals are like 11-12 th grade math bro

  • @embrefrosste6044

    @embrefrosste6044

    Жыл бұрын

    Only if you go to a good school

  • @taysflames9541
    @taysflames9541 Жыл бұрын

    5:10 yea all the stuff before this point was grade 1 through 9 or 10 in my workplace 11 we just got done with cos sin and tan a little bit ago

  • @efrenamalig-on9644
    @efrenamalig-on9644 Жыл бұрын

    14:22 he meant "exit" in there if you see the spelling :)

  • @simran8933
    @simran8933 Жыл бұрын

    I think that guy is the guy who make the math the hardest subject

  • @trangdam4785
    @trangdam4785 Жыл бұрын

    Dude is a death star

  • @peanutsplaytime3758
    @peanutsplaytime3758 Жыл бұрын

    At least I go to a private school so I know most of this.

  • @justarandomquagsire4268
    @justarandomquagsire4268 Жыл бұрын

    The symbol ‘i’ stands for imaginary numbers, or any numbers that don’t have tangible value, and are thus considered “not real numbers”. The square root of negative one is the basis for all imaginary numbers, or ‘i’

  • @universalsubs6935
    @universalsubs693511 ай бұрын

    This video is accurate to how hard maths is in collage right now I don't understand looking it old computer dial up noise

  • @calculate.
    @calculate. Жыл бұрын

    Wheather you love math or not, the fact is you still use it almost everyday mainly without knowing e.g. Did you get the right change after purchasing a burger at McDonald's. In the mean time here is a simple question for you! 2 × 2 ÷ 2

  • @Ryrba-r5d
    @Ryrba-r5d Жыл бұрын

    The math teacher will conquer the world

  • @naquibmahmood6115
    @naquibmahmood6115 Жыл бұрын

    "Metroplex" cybertronian ultimatum

  • @marjoseph2311
    @marjoseph2311 Жыл бұрын

    Mega confusion lol

  • @takingthescenicroute1610
    @takingthescenicroute1610 Жыл бұрын

    14:21 it spells 'exit' spelled by the e, x, i and TSC covering up half the pi so it looks as a T.

  • @Gonyoutube
    @Gonyoutube Жыл бұрын

    I watch it this animation like 1 hour ago i don't know but this is the greatest animation😊

  • @helutauati3914
    @helutauati3914 Жыл бұрын

    At the end MR ._. So what happened.... he spelled exit with the letters by the e then x is the multiply symbol and the I with is already there and for pie, he blocks the right side to make it look like a t which spells..... EXIT! So orange wanted to get out of this math universe to go back for minecraft probably XD💀😳💀😳

  • @enigmagrieshaber5555
    @enigmagrieshaber5555 Жыл бұрын

    15:38 thw introduction of other symbols are the introduction of quantum mechanics which is weirder than the what we have now 😂 Cuz quantum mechanics states that universe is probabilistic rather than derministic But yeah quantum mechanics explores new field of math except for infinity cuz infinity means error

  • @DragonMaster66
    @DragonMaster66 Жыл бұрын

    THE SPEED AT WHICH I CLICKED

  • @msmollybot5191
    @msmollybot5191 Жыл бұрын

    i'm like ai where i understand calculations

  • @doublegfernandez4594
    @doublegfernandez4594 Жыл бұрын

    I didn’t necessarily hate math, I was interesting, it was just excruciatingly hard, the only class I hate more than anything, is science, EVERYONE in my class is bad at science, we can never get more than like, 55.5% on science exams, the assignments are somewhat ok,

  • @foxsimulation7630
    @foxsimulation7630 Жыл бұрын

    {sqrt(x) = sqrt(x), cuberoot(x) = x^(1/3)} so on and at the graph the i represents height like 2i is higher then i , θ=theta and θ/r=π and cos(π)+isin(π)=e^iπ ,when he did θ+9i it did increase height by 9i as i said in the graph that height is represented by i

  • @naejelangelogonzales6623
    @naejelangelogonzales6623 Жыл бұрын

    Everyones life: you wont use math in life. Some nerd guys in alan Becker's team: THEN WE WILL

  • @TescoTuber
    @TescoTuber Жыл бұрын

    Maths is like mandarin in this case.

  • @uselesscraftys
    @uselesscraftys Жыл бұрын

    Square root is like multiplications but reversed lets take an example: in the multip we say 2×7 = 14 in the sq root its 2 or if you put sq root on 14 it will be 7 if you put sq root on 21 (3×7) it will make 14. Sorry bcs my explanation is not clear im just 15 turned 16 last week so i rlly tried my best :) have a great day

  • @davidbeckham2715

    @davidbeckham2715

    Жыл бұрын

    Wrong. Completely

  • @eon1311
    @eon1311 Жыл бұрын

    5:05 that’s a square root sign it’s basically the opposite of the of squaring a number

  • @AkiraDragonborne
    @AkiraDragonborne8 ай бұрын

    ECKO: "What are we watching?!" Answer: Genius. Sheer genius.

  • @SharkGamerOfficial
    @SharkGamerOfficial25 күн бұрын

    My head 😂❤

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