Thank you so much for watching! If you would like to see my reaction to Animation vs. Physics, please check out: ua-cam.com/video/H7OW_nSCcl0/v-deo.htmlsi=O8h3daug2QebimCF
If you zoom in enough on paint drying, you'll notice small little defense turrets shielding the surface from the attacking air molecules trying to extract the paint's moisture particles
Alan Becker is a master storyteller on this platform and his animations never fail to astound the viewer. As you can see, this video is no different and is definitely one of his most creative works. Not sure if the rest of his content would be applicable to your expertise though, since the two main series on his channel are Animator vs. Animation and Animation vs. Minecraft. Anyway, I loved to have heard what you thought about this one. Great reaction!
I just want to correct a misunderstanding, Animation vs Math's story and mathematical stuff written by Terkoiz, he is the lead animator of Alan Becker. Alan Becker himself mentioned the idea of that animation comes from him.
@@gorgun08fun fact: it was said that around 1899 Hitler was bipolar. But he later changed to transgender around 1909. But decided to change it to straight around 1918 because he saw a classified "shawty".
it's amazing to see how an animation about math got the attention of so many people, from math nerds to teachers to professors and now a literal Nuclear Engineer, OMG
You are the only person i have seen this far who actually understands the content of this video. I had to watch some instructionals and do some research to figure even half of this stuff out. I agree that content like this would greatly increase interest in mathematics. It drew my interest, and im way out of school.
Having the 'antagonist' be e^iπ is such a great idea because its something that you can run into so easily which is very alien and doesnt make sense. And in the beginning when all you have is addition and subtraction it easily eludes you
This is the only guy I've seen so far who immediately notices some things like the circle blast being multivariable (which is why it breaks the integral) and "e×iτ" meaning "exit" as he watches it
I'm not too satisfied when he sees TSC playing with the dot to form the complex plane and the unit circle, he says that it is cartesian and polar coordinates
@DatBoi_TheGudBIAS I could be wrong on this, but when TSC (the stickman) shot the circle with the infinity function the circle increased in dimensions by 1 for each shot ending at 4 dimensions
@@DatBoi_TheGudBIAS TSC applied the two Wave Hammers to the Tangent gun. This applied a perpendicular rotation to the Tangent waves, creating a spiral function that the Integral, being only over a single variable, couldn't absorb.
See, I've always actually enjoyed math *_itself._* The problems I've had with math *_class_* is the way that the American Board of Education believes math should be *_learned._* Math has always been about using logic to find answers & solve problems. And translating that knowledge into real life situations is why it's a useful skill. But the way that math class works is that it goes through all of the MANY things of math at a very slow rate & you are punished for attempting to solve a given problem outside of the *_intended_* equation. Regardless of whether you found the *_correct answer,_* if you failed to solve the problem the way you're *_TOLD_* to. And that's not really what math is about. Math is about questioning what we know as factual & searching for new ways to solve the same problems. It's *_MEANT_* to make you get creative.
Really enjoyed this reaction! I knew some of the things that were happening with the complex numbers but it was really fun getting the more complex (pun not intended) parts explained. Your reaction to e^iπ sending Orange home made me laugh really hard, especially since you asked whether the entire animation was gonna prove e^iπ=-1 at 9:22 🤣
This is the reaction what I want like Experts, Professors, Nuclear Engineers compared to other reactions that are not accurate. We know that there's so many reactions out there
I saw another "breakdown" video where they explained that the entire video is basically just a ride through the history of math, how every new "invention" or conclusion just again and again shattered everything that was there before which lead to a mathimatical crysis and so on And that this video basically just represented the fight between all mathematicians or so.
Did you notice that the function gun (that takes literal bullets as input) was briefly shown as a tangent function? That is why it shoots out tangent plots. And when it was caught by the Transformer, it turned into an integral symbol because the shape is similar.
Genuinely I can't stop binging your videos. You are so engaging and I always leave knowing I learned even a little more from watching you. You are so so entertaining and funny, as well as being informational on some misunderstood or underappreciated topics. Your videos always brighten my day and I just wanted to say a huge thank you for creating content that so many people enjoy
@@tfolsenuclearYou really are super entertaining to watch, no boring reactions or pauses (not like thats a bad thing sometimes) but EVERY one of your video’s don’t have a boring reaction. You are genuinely super fun to watch and the jokes are funny as well, Wish you got more attention… keep doing what you’re doing!!!
2:00 and to extend the list, for a programmer 1 + 1 is 11 because one was a string and the other one got transformed to one and suddenly we went from numbers to text. at least as a web dev, javascript is so fun with automatically redefining value as necessary to keep going at all cost XD
Times sure have changed. I learned to do math with a slide rule and thought the TI-30 calculator was the best thing since sliced bread. It made things like the Six-Factor Formula a breeze.
Something I've noticed a lot of people not quite catching is how when he tries to divide by 0, the music in the back starts to intensify as the division keeps happening, until it abruptly stops when he changes the division sign. It's just a funny bit of tension, because everybody knows that dividing by 0 is never a good thing, & the music starting to become more intense by the second was building up that *_SOMETHING_* bad was gonna happen lol.
In my high school philosophy class, the teacher put 1+1 up on the board and asked the class what does it equal? Everyone kept saying 2, but the teacher believed the result to be different. He said that 1+1 = 1+1 and reminded us that we need to think outside the box when studying organized systems of thought. He never asked for a math solution to his equation only that we understood the true meaning of "equal".
As a graphics designer, 1 + 1 = 1. When 1 shape or color, meshes/combines with another, they make 1 design. Sure, it's different, but that's the thing. It's a singular design.
I think you could understand it in a way that 1+1=2. Do 1+1 and 2 look the same? No. Do they sound the same? no. Are they equal? yes! So even though some people look and sound differently, we're all equal!
I stopped paying attention to the math portion of the video when pie came in. I aint got enough brainpower to process what's happening in the video so to have u explain the math jokes for me and everyone else is fricking awesome. Amazing video.
It looks like the division with the minus and the colon, ÷, means "the number of times you need to subtract the denominator from the numerator to cancel out the numerator", the literal inverse of multiplication. So 6 ÷ 0 kept going and going. It was so cool to learn that from the animation video.
That section demonstrates the naive approach to long multiplication and division, which was in common use with mechanical calculators and CPUs lacking dedicated MUL and DIV hardware
Oh thank GOD! I was waiting for a reaction video from someone who understood the math to a decent degree. You wouldn't believe how many videos I had to go through that was just people not really getting what was happening past the multiplication part, or exponents if I was lucky.
e^(i*pi) + 1 = 0 exists, rather than using e^(i*pi) = -1, because we like using the identity values, 0 for additive, 1 for multiplicative. This whole process is used (with a lot less gusto) in Abstract Algebra, usually a junior-level math-majors' class.
The reason I feel mathematicians like to put the 1 and 0 in Euler's Identity is that it preserves the theme you go through proving that: you basically combine arithmetic, algebra, trigonometry and calculus in a way which shows you how all of those things you've probably been studying separately in their own classes are in fact all deeply interconnected. Zero was as important a concept in the development of mathematics as 1, and so it's aesthetically pleasing when you already have pi, i, and e in the equation to add in both 1 and 0 to represent additional parts of all those steps that led to Euler's Identity as a thing we've proven and accept. (Personally, I prefer writing it as "+ 0 = -1".)
Nice take. Also I don't think it was just Euler with his identity that showcases this. Slightly different topic yet Boolean Algebra based on Logic shows the importance of both 0 and 1 being equally important as to the fundamental core foundation of a two state system. Well, it doesn't have to be exactly 0 and 1, it can be true and false, on and off, etc... Yet the concept of how equally important opposites are in order to even have a 2 state system in the first place is one of the bigger takeaways. Now, I'm not claiming that Boole himself has made this kind of deduction or not, I'm just stating this from my own perspective and intuition. This opposition is very straight forward from a basic mathematical perspective, except that in this context it's the opposition of 1 and -1 both being on the same line (180 degrees or PI radians) where they are both represented as a vector , . Here their magnitudes or lengths are the same, but their directions are opposing. And if we take the dot product of these two it returns a result of -1. And if we take the arccos of -1 we get π radians. And exactly in the middle of 1 and -1 is of course 0. This is one of the many reasons I love math! So even Boolean Algebra has an unseen connection to other fields of mathematics including Euler's Identity. To extend this even a bit farther, one could start to go down the path of Lambda Calculus.
15:31 -- "Uh-oh, that integral goes from zero to infinity. A regular infinity can't counter that, he's gonna need something bigger." This, right here... things like this are why it's fun to see someone watching the video who knows about the math going on
This needs to be a video game! Think of how good kids would get at math if they played this and had fun and had to learn new weapons which were unlocked with new math.
Combining math together to create new weapons would be a killer feature in a game designed to teach math. That should be a thing honestly. I'd play that and I don't go to school anymore 😅
My favorite part of the video that most dont notice is that the "bow" the stickfigure made was an equation, it was "2 x 2 = " he would pull the multiplication sign through the equal sign and when released it created a 4.
I’m the person who loves the concept of math but hated doing it bc it was hard to understand; I wish I saw this video in high school so that I could’ve actually saw and learned what I was doing. Your reaction really helped as well as you went over little Easter eggs that I missed or didn’t understand first watch!!
13:48 "This is what a math test should be like. Can you survive the onslaught of negative ones?" .....Someone please make this happen. How many more people would actually be invested in learning how to apply mathematical principles, equations and formulas if tests and classes were like this.
The music is what makes this so interesting and hooking because it’s one that you would hear if a character was figuring out some important things and details for their plot
You should watch the explanation too, it goes into the history of everything the stickman discovered along with a bunch of equations used. A dude usernamed "Python with Prosper," I loved their video too.
As a Mech Engineer, agree. I honestly struggled in Diff Eq's until I took Auto Feedback control, and understood the application of differential equations.
They should play this at the start of Math to get people excited, than at the end for the students to see how much of it they remember and understand. I would love to see something like this in my class!
I genuinely can't get tired of watching professionals react to this animation even after it's already been out for 4 months, something about people who knows a lot about math pointing out all the little details or references in a silly animation is so fun to watch
You are the first person reacting to this video that seemed to actually get all (or at least most of) the references in that video. I just watched a mathematics professor watching it and it seemed like a lot of the references just went right past him.
@alanbecker, it is actually great to add a little bit more about infinity, either as you included the square. There must be super big number out there that is another type of timeline to explain.
For 6:19, the reason it didn’t just make a Blackhole or error is because The Second Coming (Pure Orange) is probably in a calculator, so all the zeros going into that 6 is literally what happens when you do it, it’s just that those few seconds took place in like a millisecond.
One of my favorite parts within the video is when the stick figure discovers division. His progression through that scene when he triggers division by 0 for me is a very accurate and true version of division by 0. We are all taught that it's undefined and that it's an error and that it can not be done. Yet this animation shows that division by 0 is infinite recursion without a terminal or exit case based on the fact that division is an extension of repeated subtraction. For me this was one of my favorite scenes. There are other worthy mentions too. For example when the stick figure is shooting 4 at the e term. He blocks it and the exponent of i*pi becomes divisible by 4 so e^(i*pi) consumed the 4 and through basic transformation it became e^( (i*pi)/4 ) and it rotated by exactly 45 degrees or PI/4 radians. Also when the e^(i*p) term started to fight back with it's weapon of summation of an infinite series... it's just great. Then when the stick figure discovers the imaginary numbers and the complex plain and constructed the unit circle... The entire story or video just progressively became or epic. Then in the final scene when they started to work together and e performs a transformation on the stick figure to a different manifold or dimension, the other symbols come out and join e and in the background there's Aleph towering over all of them marching along. This really show cased the comparison of different infinities especially within group or set theory. Yeah this video is definitely a gem!
i think the biggest helper is that there is always an equal sign. Which means the crazy stuff happening on the left side is always equal to a concrete number on the right side. Where i believe many people are misunderstanding and thinks left sides leads to becoming the answer on the right side.
This animation is so overwhelmingly awesome, IT'S CRAZY. I love how you were excited already even when it was just adding numbers and I was like: "Oh, you like that? Wait till you see the rest!"
@@DatBoi_TheGudBIAS Yes. It's actually this letter: א Unfortunately, I know little about the orders of infinity - my knowledge of math is more applicable and ends at physics equations.
@@DatBoi_TheGudBIAS I also learned that there are apparently 3 sigmas, cant type them on my iphone but I do know one of the sigmas are used if that sigma is at the end of a word.
I like to imagine the stickman in this context is a kid growing up as they wonders what is e^iπ that pops up everywhere while they are learning math, thus chasing the e^iπ. but in the end, when the stickman finally gets it they became friends, while more of interesting concepts await for the stickman.
Ok, that's definetly a story about our conscoius and unconscious part. between counsciousness and ego. Both same, in a diferent dimension. Love the part where the counsciouness use infinity to distroy ego armor. (Noticed that the ego just multiplied itself to build up his armor) . As soon as the consciouness enter the imaginary world of the ego, everything breaked down (Like when you open your eye on a truth, suddenly all your perspective on a situation fall appart, you cannot deny anymore). Like how the consciousness saved the ego from his own imaginary world. To finish, the importance of the dot, the singularity, the unified field , source of infinity. Beautyful story. Thank you
If I were a mathematics professor, and I am not, I would create a math course that teaches all the knowledge required to understand this video. I would show this video at the start, and ask students to explain what is going on to the best of their abilities. I would do this because I want them to remember feeling clueless. I would then mention that by the end of this class, you will be able to understand everything this video covers... And let's start. I am not a professor of mathematics though, so I'm leaving this here for those of you that are. - Create the end goal - Create an emotional anchor showing each student where they are - Reference past emotional anchor at the end of the course to show them how far they've come
Sir, you're the first one that i know that got the exit joke around the end, nice o7 it felt so great tho, after like 5~8 reaction videos, someone finally got it. YES!
If I had been shown this as a kid, my whole LIFE would have been so different!! I didn't care for math and because i didn't try to understand it. This was Staggering and Awe inspiring. My foundation has been shattered and reforged. I feel remorse for the world I denied willingly. Sorry, I feel emotional. =)
I think the big thing at the end is supposed to be aleph nul, another way of saying infinity. You can go past infinity in the ordinal space with omega.
What a beautifull message. I feel like the sword fitgh illustrate the fact that we exisit in several dimension, and we are fighting against our equivalence. Euler character, with the negative sword was equivalent to the main character with the positive sword, only if the main character identify himself as "one".
Hey I would actually like your thoughts on the relatively recent achievement of fusion ignition. As a scy fi nerd and amature stem nerd. I LOVE having conversations about stem topics with people actually in the field.
I know the moment when this went further then I remember. Then there was a small part afterwards that I understood for a while, then it went deep on me again, and at the end, I just grinned, cause, well, I recognized ONE of those things, but didn't know how it was meant to be used... cause they went DEEP and STRANGE there.
He has all maths without demonstrations. A system like this would be a cool confirmation of our thesis or answer to our questions. Btw the author of the animation could have shown little démonstrations maybe
I've seen the original animation and I have to say that it is really good. It's mathematically accurate, it keeps you intrigued or engaged. It's definitely a work of art!
Thank you so much for watching! If you would like to see my reaction to Animation vs. Physics, please check out: ua-cam.com/video/H7OW_nSCcl0/v-deo.htmlsi=O8h3daug2QebimCF
So if 1+1=100 according to nuclear engineers then 1=50 right? According to nuclear engineers ofcourse
thats not how it works@@subtonoob176
🗣‼️‼️‼️‼️
We got this because Pixar said no
11+2=1?
"He proved pi! Now will he eat the pie?"
Best Quote ever
195 likes an- nope I ain’t gonna be one of them but yeah pretty funny ngl
This is one of the most liked comment's I've gotten, thanks anyways
\⚗
wow why is there only 2 comments here?
ok
Alan could probably be given the concept of watching paint dry and still get a swordfight out of it
animation vs colors
@@somegalaxy4550 you're on to something there 🤔
If you zoom in enough on paint drying, you'll notice small little defense turrets shielding the surface from the attacking air molecules trying to extract the paint's moisture particles
Animation vs aliens
@@abwfysl420 wait a damn second
I'm a programmer. 1+1==2.0000004
Edit: changed ~= to == because everyone were confused (I meant ~= as approx. equal to)
gotta love floats
@@milesprower4463 and integers too
You mean == ?
@KingNerdII depends on language. Not sure which language the ~= syntax belongs to but I'm sure there is one
@@spiraldj i think lua has this ~= sign
Yay, a reaction from someone who knows the math! I had a lot of fun watching you and the ways you explained stuff from your own POV
Glad you liked it!
@@tfolsenuclear e^i (and) pi
@@A_cat_1234&
@@MergeMechanic7395 and, and & are the same thing
@@A_cat_1234 I do know that, Mr.Knows-a-lot.
Alan Becker is a master storyteller on this platform and his animations never fail to astound the viewer. As you can see, this video is no different and is definitely one of his most creative works. Not sure if the rest of his content would be applicable to your expertise though, since the two main series on his channel are Animator vs. Animation and Animation vs. Minecraft. Anyway, I loved to have heard what you thought about this one. Great reaction!
I just want to correct a misunderstanding, Animation vs Math's story and mathematical stuff written by Terkoiz, he is the lead animator of Alan Becker. Alan Becker himself mentioned the idea of that animation comes from him.
@@gorgun08fun fact: it was said that around 1899 Hitler was bipolar. But he later changed to transgender around 1909. But decided to change it to straight around 1918 because he saw a classified "shawty".
@@Hideyokids13 this is true i was the "shawty"
@@gorgun08 I thought terkoiz was dead?
@@gorgun08 So Terkoiz creates all the animations in Alan’s videos?
14:22 The function f(•) = 9tan(pi*•) is being applied. So when plugging e^(i*pi) as •, the result is 0, because tan(-pi) is 0.
Thanks so much for sharing!
Thanks
I like your funny words magic man
@@wedwibonππ in your pampers (haha youtube doesnt have a petrosian bot)
P.S. unlike reddit
@@timvar9129 dami mong alam
it's amazing to see how an animation about math got the attention of so many people, from math nerds to teachers to professors and now a literal Nuclear Engineer, OMG
You know what they said about math being a universal language
You know what they said about math being a universal language
You know shit is crazy when "infinity isn't big enough, you need something bigger".
You are the only person i have seen this far who actually understands the content of this video. I had to watch some instructionals and do some research to figure even half of this stuff out. I agree that content like this would greatly increase interest in mathematics. It drew my interest, and im way out of school.
tom rocks maths (an oxford math professor) also did a video reacting to this!
My dad is a nuclear engineer and I sent him this video, waiting for a response rn
I genuinely have no idea why but this particular video drives me to tears.
Fan of this channel, I know.
Do you animate?
He sure is a good storyteller, probably that's why. And the score was just chef's kiss
its the beauty of math
Neeeerd!
Having the 'antagonist' be e^iπ is such a great idea because its something that you can run into so easily which is very alien and doesnt make sense. And in the beginning when all you have is addition and subtraction it easily eludes you
This is the only guy I've seen so far who immediately notices some things like the circle blast being multivariable (which is why it breaks the integral) and "e×iτ" meaning "exit" as he watches it
I need explanation, wat made the circle multivariable?
I'm not too satisfied when he sees TSC playing with the dot to form the complex plane and the unit circle, he says that it is cartesian and polar coordinates
@DatBoi_TheGudBIAS I could be wrong on this, but when TSC (the stickman) shot the circle with the infinity function the circle increased in dimensions by 1 for each shot ending at 4 dimensions
he didn't notice the big aleph at the end tho
@@DatBoi_TheGudBIAS TSC applied the two Wave Hammers to the Tangent gun. This applied a perpendicular rotation to the Tangent waves, creating a spiral function that the Integral, being only over a single variable, couldn't absorb.
TSC(the orange stickman) is how we imagined ourselves when the test say "defend your answer"
This is someone's math assignment that their professor gave them to prove it equals -1
See, I've always actually enjoyed math *_itself._* The problems I've had with math *_class_* is the way that the American Board of Education believes math should be *_learned._*
Math has always been about using logic to find answers & solve problems. And translating that knowledge into real life situations is why it's a useful skill. But the way that math class works is that it goes through all of the MANY things of math at a very slow rate & you are punished for attempting to solve a given problem outside of the *_intended_* equation.
Regardless of whether you found the *_correct answer,_* if you failed to solve the problem the way you're *_TOLD_* to. And that's not really what math is about. Math is about questioning what we know as factual & searching for new ways to solve the same problems. It's *_MEANT_* to make you get creative.
maths is found! maths is done by going "why can't -1 have a square root? who cares if it has no real analogue, IT'S MATHS!"
Really enjoyed this reaction! I knew some of the things that were happening with the complex numbers but it was really fun getting the more complex (pun not intended) parts explained. Your reaction to e^iπ sending Orange home made me laugh really hard, especially since you asked whether the entire animation was gonna prove e^iπ=-1 at 9:22 🤣
Haha, thanks so much! Glad you liked my reaction!
This is the reaction what I want like Experts, Professors, Nuclear Engineers compared to other reactions that are not accurate. We know that there's so many reactions out there
Thanks so much!
I saw another "breakdown" video where they explained that the entire video is basically just a ride through the history of math, how every new "invention" or conclusion just again and again shattered everything that was there before which lead to a mathimatical crysis and so on And that this video basically just represented the fight between all mathematicians or so.
Did you notice that the function gun (that takes literal bullets as input) was briefly shown as a tangent function? That is why it shoots out tangent plots. And when it was caught by the Transformer, it turned into an integral symbol because the shape is similar.
Genuinely I can't stop binging your videos. You are so engaging and I always leave knowing I learned even a little more from watching you. You are so so entertaining and funny, as well as being informational on some misunderstood or underappreciated topics. Your videos always brighten my day and I just wanted to say a huge thank you for creating content that so many people enjoy
Your comment made my day 😊😊😊
I’m so glad you enjoy watching my videos - people like you are the reason why I do this. Thanks again!!
@@tfolsenuclearYou really are super entertaining to watch, no boring reactions or pauses (not like thats a bad thing sometimes) but EVERY one of your video’s don’t have a boring reaction. You are genuinely super fun to watch and the jokes are funny as well,
Wish you got more attention… keep doing what you’re doing!!!
2:00 and to extend the list, for a programmer 1 + 1 is 11 because one was a string and the other one got transformed to one and suddenly we went from numbers to text. at least as a web dev, javascript is so fun with automatically redefining value as necessary to keep going at all cost XD
Times sure have changed. I learned to do math with a slide rule and thought the TI-30 calculator was the best thing since sliced bread. It made things like the Six-Factor Formula a breeze.
Nah nah i know you did not just say "six factor formula"
Is this really the shit im finna go thru in school?
not only is the animation in this amazing, but the sound effects really makes this gold for me
First a Oxford math professor now nuclear engineer
Something I've noticed a lot of people not quite catching is how when he tries to divide by 0, the music in the back starts to intensify as the division keeps happening, until it abruptly stops when he changes the division sign.
It's just a funny bit of tension, because everybody knows that dividing by 0 is never a good thing, & the music starting to become more intense by the second was building up that *_SOMETHING_* bad was gonna happen lol.
lol, maybe a black hole was gonna form
In my high school philosophy class, the teacher put 1+1 up on the board and asked the class what does it equal? Everyone kept saying 2, but the teacher believed the result to be different. He said that 1+1 = 1+1 and reminded us that we need to think outside the box when studying organized systems of thought. He never asked for a math solution to his equation only that we understood the true meaning of "equal".
As a graphics designer, 1 + 1 = 1. When 1 shape or color, meshes/combines with another, they make 1 design. Sure, it's different, but that's the thing. It's a singular design.
@@cye2310bro nobody asked about graphic designing 💀💀
Still, the result isn't different. I guess the example is ok for non math people
I think you could understand it in a way that 1+1=2. Do 1+1 and 2 look the same? No. Do they sound the same? no. Are they equal? yes! So even though some people look and sound differently, we're all equal!
The phrases "a regular infinity cant counter that , hes gonna need someone bigger"
Now lives in my head
I stopped paying attention to the math portion of the video when pie came in. I aint got enough brainpower to process what's happening in the video so to have u explain the math jokes for me and everyone else is fricking awesome. Amazing video.
I’m so glad you liked it! Thanks so much!
They just uploaded an "Animation vs Physics" video an hour ago!
Nice reactions and analysis, so glad you could cover Alan Becker's math masterpiece! Only problem is the audio is a bit out of sync for some reason
mathsterpiece
It looks like the division with the minus and the colon, ÷, means "the number of times you need to subtract the denominator from the numerator to cancel out the numerator", the literal inverse of multiplication. So 6 ÷ 0 kept going and going. It was so cool to learn that from the animation video.
That section demonstrates the naive approach to long multiplication and division, which was in common use with mechanical calculators and CPUs lacking dedicated MUL and DIV hardware
Oh thank GOD!
I was waiting for a reaction video from someone who understood the math to a decent degree.
You wouldn't believe how many videos I had to go through that was just people not really getting what was happening past the multiplication part, or exponents if I was lucky.
e^(i*pi) + 1 = 0 exists, rather than using e^(i*pi) = -1, because we like using the identity values, 0 for additive, 1 for multiplicative.
This whole process is used (with a lot less gusto) in Abstract Algebra, usually a junior-level math-majors' class.
Awesome video, found this channel a few days ago and binged all the videos, keep it up man! (:
Welcome aboard!
The reason I feel mathematicians like to put the 1 and 0 in Euler's Identity is that it preserves the theme you go through proving that: you basically combine arithmetic, algebra, trigonometry and calculus in a way which shows you how all of those things you've probably been studying separately in their own classes are in fact all deeply interconnected. Zero was as important a concept in the development of mathematics as 1, and so it's aesthetically pleasing when you already have pi, i, and e in the equation to add in both 1 and 0 to represent additional parts of all those steps that led to Euler's Identity as a thing we've proven and accept. (Personally, I prefer writing it as "+ 0 = -1".)
Nice take. Also I don't think it was just Euler with his identity that showcases this. Slightly different topic yet Boolean Algebra based on Logic shows the importance of both 0 and 1 being equally important as to the fundamental core foundation of a two state system. Well, it doesn't have to be exactly 0 and 1, it can be true and false, on and off, etc... Yet the concept of how equally important opposites are in order to even have a 2 state system in the first place is one of the bigger takeaways. Now, I'm not claiming that Boole himself has made this kind of deduction or not, I'm just stating this from my own perspective and intuition. This opposition is very straight forward from a basic mathematical perspective, except that in this context it's the opposition of 1 and -1 both being on the same line (180 degrees or PI radians) where they are both represented as a vector , . Here their magnitudes or lengths are the same, but their directions are opposing. And if we take the dot product of these two it returns a result of -1. And if we take the arccos of -1 we get π radians. And exactly in the middle of 1 and -1 is of course 0. This is one of the many reasons I love math! So even Boolean Algebra has an unseen connection to other fields of mathematics including Euler's Identity. To extend this even a bit farther, one could start to go down the path of Lambda Calculus.
15:31 -- "Uh-oh, that integral goes from zero to infinity. A regular infinity can't counter that, he's gonna need something bigger."
This, right here... things like this are why it's fun to see someone watching the video who knows about the math going on
This needs to be a video game! Think of how good kids would get at math if they played this and had fun and had to learn new weapons which were unlocked with new math.
Combining math together to create new weapons would be a killer feature in a game designed to teach math. That should be a thing honestly. I'd play that and I don't go to school anymore 😅
Alan Becker is REALLY good at animating and storybuilding, so its no suprise that you enjoyed it. Great reaction!
Thanks so much!
My favorite part of the video that most dont notice is that the "bow" the stickfigure made was an equation, it was "2 x 2 = " he would pull the multiplication sign through the equal sign and when released it created a 4.
FINALLY A PROPER REACTION WHO KNOWS MATHS
I’m the person who loves the concept of math but hated doing it bc it was hard to understand; I wish I saw this video in high school so that I could’ve actually saw and learned what I was doing. Your reaction really helped as well as you went over little Easter eggs that I missed or didn’t understand first watch!!
13:48 "This is what a math test should be like. Can you survive the onslaught of negative ones?"
.....Someone please make this happen. How many more people would actually be invested in learning how to apply mathematical principles, equations and formulas if tests and classes were like this.
The music is what makes this so interesting and hooking because it’s one that you would hear if a character was figuring out some important things and details for their plot
Which is exactly what is happening
You should watch the explanation too, it goes into the history of everything the stickman discovered along with a bunch of equations used. A dude usernamed "Python with Prosper," I loved their video too.
This is the first reaction video I've watched where I don't skip the parts where he explains the stuff it was so interesting
Bro taught me more knowledge then 10 year worth of school
As a Mech Engineer, agree. I honestly struggled in Diff Eq's until I took Auto Feedback control, and understood the application of differential equations.
I always love seeing friendly people making jokes and having fun reacting to other videos on UA-cam. You sir, are a gem.
Alan Becker is the key to boring math subject, making it fun
They should play this at the start of Math to get people excited, than at the end for the students to see how much of it they remember and understand. I would love to see something like this in my class!
I absolutely love watching reactions to this frompeople who can actually understand the numbers.
"1+1=3, for especially large values of 1."
The Alan Becker math video is my favorite video that has ever been posted
I genuinely can't get tired of watching professionals react to this animation even after it's already been out for 4 months, something about people who knows a lot about math pointing out all the little details or references in a silly animation is so fun to watch
You are the first person reacting to this video that seemed to actually get all (or at least most of) the references in that video. I just watched a mathematics professor watching it and it seemed like a lot of the references just went right past him.
4:55 I'm impressed that you got that the first time. It wasn't until my 3rd time seeing this that I noticed that detail.
This is exactly how i visualize Math. I dont like the way it gets taught because the visual simplicity just speaks for itself. Its beautiful
@alanbecker, it is actually great to add a little bit more about infinity, either as you included the square. There must be super big number out there that is another type of timeline to explain.
I want one explaining slope
For 6:19, the reason it didn’t just make a Blackhole or error is because The Second Coming (Pure Orange) is probably in a calculator, so all the zeros going into that 6 is literally what happens when you do it, it’s just that those few seconds took place in like a millisecond.
One of my favorite parts within the video is when the stick figure discovers division. His progression through that scene when he triggers division by 0 for me is a very accurate and true version of division by 0. We are all taught that it's undefined and that it's an error and that it can not be done. Yet this animation shows that division by 0 is infinite recursion without a terminal or exit case based on the fact that division is an extension of repeated subtraction. For me this was one of my favorite scenes. There are other worthy mentions too. For example when the stick figure is shooting 4 at the e term. He blocks it and the exponent of i*pi becomes divisible by 4 so e^(i*pi) consumed the 4 and through basic transformation it became e^( (i*pi)/4 ) and it rotated by exactly 45 degrees or PI/4 radians. Also when the e^(i*p) term started to fight back with it's weapon of summation of an infinite series... it's just great. Then when the stick figure discovers the imaginary numbers and the complex plain and constructed the unit circle... The entire story or video just progressively became or epic. Then in the final scene when they started to work together and e performs a transformation on the stick figure to a different manifold or dimension, the other symbols come out and join e and in the background there's Aleph towering over all of them marching along. This really show cased the comparison of different infinities especially within group or set theory. Yeah this video is definitely a gem!
i think the biggest helper is that there is always an equal sign. Which means the crazy stuff happening on the left side is always equal to a concrete number on the right side. Where i believe many people are misunderstanding and thinks left sides leads to becoming the answer on the right side.
This was great. You just earned yourself a new subscriber!
This part right here. 6:45 . Orange is making "Dimensions" by adding +1 to the formula. Which make from 1D, 2D, 3D, 4D and 5D
My math teacher for algebra 1 showed us this and it made so much more sense.
I love tsc (the second coming is the stick orange) just laying down thats cute
This animation is so overwhelmingly awesome, IT'S CRAZY. I love how you were excited already even when it was just adding numbers and I was like: "Oh, you like that? Wait till you see the rest!"
In case you missed it, at 19:55 in the background there is stomping. It is Alef, the smallest countable infinity.
The big ass N?
@@DatBoi_TheGudBIAS Yes. It's actually this letter:
א
Unfortunately, I know little about the orders of infinity - my knowledge of math is more applicable and ends at physics equations.
@@DatBoi_TheGudBIAS Fun fact: That character, according to the Hebrew alphabet (where that letter originated from) is actually transliterated as "A"
@@Conveex ye, they tend to mean the first letter of their name.
Same with Greek letters
Π pi for P (product in math)
Σ sigma for S (sum in math)
@@DatBoi_TheGudBIAS I also learned that there are apparently 3 sigmas, cant type them on my iphone but I do know one of the sigmas are used if that sigma is at the end of a word.
I like to imagine the stickman in this context is a kid growing up as they wonders what is e^iπ that pops up everywhere while they are learning math, thus chasing the e^iπ. but in the end, when the stickman finally gets it they became friends, while more of interesting concepts await for the stickman.
Interesting how my dad has been a nuclear engineer for about fifteen years, never would have thought he knew all this maths.
I am glad to have sert this animation right as I restart my road through mathmatics, it really is cool.
very cool this channel is extremely cool and this channel deserves more subscribers
Thanks! glad you like it!
i like how the area of e to its exponential is the light shadow curve made by pi of the large circle at 17:09
I will LOVE some one to make a fighting game based on math like in this video
Thank you for explaining all the fun details about this video. I thought it was good, but you've made me appreciate it even more!
Thanks! Glad you liked it!
Ok, that's definetly a story about our conscoius and unconscious part. between counsciousness and ego. Both same, in a diferent dimension. Love the part where the counsciouness use infinity to distroy ego armor. (Noticed that the ego just multiplied itself to build up his armor) . As soon as the consciouness enter the imaginary world of the ego, everything breaked down (Like when you open your eye on a truth, suddenly all your perspective on a situation fall appart, you cannot deny anymore). Like how the consciousness saved the ego from his own imaginary world. To finish, the importance of the dot, the singularity, the unified field , source of infinity. Beautyful story. Thank you
A series about him would be cool. ( Minecraft nuclear mod)
If I were a mathematics professor, and I am not, I would create a math course that teaches all the knowledge required to understand this video. I would show this video at the start, and ask students to explain what is going on to the best of their abilities. I would do this because I want them to remember feeling clueless. I would then mention that by the end of this class, you will be able to understand everything this video covers... And let's start.
I am not a professor of mathematics though, so I'm leaving this here for those of you that are.
- Create the end goal
- Create an emotional anchor showing each student where they are
- Reference past emotional anchor at the end of the course to show them how far they've come
This part of mathematics is 80% to the hardest part in engineering.
This part of mathematics is the hardest part of
Sir, you're the first one that i know that got the exit joke around the end, nice o7
it felt so great tho, after like 5~8 reaction videos, someone finally got it. YES!
Haha, thanks!!
That formlua on e, i, and phi, are probably one of the most beautiful in math. In the last part it became gamma function, really interesting video
So, we can say that he was a nuclear reactor. Since he reacted as a nuclear engineer.
If I had been shown this as a kid, my whole LIFE would have been so different!! I didn't care for math and because i didn't try to understand it. This was Staggering and Awe inspiring. My foundation has been shattered and reforged. I feel remorse for the world I denied willingly. Sorry, I feel emotional. =)
I think the big thing at the end is supposed to be aleph nul, another way of saying infinity.
You can go past infinity in the ordinal space with omega.
What a beautifull message. I feel like the sword fitgh illustrate the fact that we exisit in several dimension, and we are fighting against our equivalence. Euler character, with the negative sword was equivalent to the main character with the positive sword, only if the main character identify himself as "one".
Finally a reaction channel that actually talks about stuff instead of repeating what happened
Dang Learned a lot today thank you:D
Hey I would actually like your thoughts on the relatively recent achievement of fusion ignition. As a scy fi nerd and amature stem nerd. I LOVE having conversations about stem topics with people actually in the field.
14:53 "Wow right in the jaw of the sigma"
my brain is continuing to rot more.
I know the moment when this went further then I remember. Then there was a small part afterwards that I understood for a while, then it went deep on me again, and at the end, I just grinned, cause, well, I recognized ONE of those things, but didn't know how it was meant to be used... cause they went DEEP and STRANGE there.
I'm not a math expert but those jokes get into my head and like the reason why it's funny just dashes through my head
Saying that i havent taken calculus since high school i needed the review. Especially at the end, got too crazy and fast i couldnt keep up!😂
I love how reactions to Animation vs Math turned from regular people to students to math professors to nuclear engineers.
I literally started laughing and clapping like a child. Brings back memories of my high school days 😁
Im really glad theres people out there that actually like math because that means they can do it for me
LOL
He has all maths without demonstrations. A system like this would be a cool confirmation of our thesis or answer to our questions. Btw the author of the animation could have shown little démonstrations maybe
Honestly its true what you say, keep going you will reach 50k soon :)
I wish math was like this, you enter a digital realm where everything unfolds as you place it
Hey, man. I'm gonna need 1 shirt, and 1 pair of pants.
Ah, so you need 100 items in all?
Wait, what?
I've seen the original animation and I have to say that it is really good. It's mathematically accurate, it keeps you intrigued or engaged. It's definitely a work of art!