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Odd question. was playing a idle exponential game and I saw something that did not equal what it said it did. Or it did while using the higher dimension you talked about. It look like x log i arrow to the left x log i + x log i-1^dt But the math did xlog0=x and xlog1, xlog2 , xlog3 ,log4 where the only difference was times time So xlog•t=xlog1, xlog•t•t=xlog2, xlog•t•t•t=xlog3, xlog•t•t•t•t=xlog4 I say that because there was a dt that added to make t but if it was 1^d•t and not 1dt it makes alot more sense. Do the professors repeat like that? But have different meanings.
Ironically, Alan’s stick figures are some of the LEAST violent ones. Orange in particular is a friend to all things (eventually) who only fights for sport or to defend himself until he sees an opportunity to make friends. Meanwhile most stick figures fight as a first language, mowing down enemies with no need for a motivation.
The reason that zeroes were appearing in the first swordfight between Euler and Stickman was because Euler had a -1 and Stickman had a +1. -1+1=0, so every time their "swords" clashed, it made a zero.
@@EllieSleightholmand the end was the second coming escaping the graphical dimention, animation vs physics is basically part 2 to this but physics instead of math
I was sure it's a Hebrew letter but wasn't sure which one. It was kinda wiped out in the middle. I'm just wondering what is the division of maths that uses Hebrew letters, are there others, besides alef? Do they mean some sets? Thanks
@@lukaskamin755 The only Hebrew letter *_commonly_* used in mathematics is aleph, א, (used with subscripts to denote the cardinality of various infinite sets.) -- other Hebrew letters are much rarer, likely just one of the next three letters: beth (ב), gimel (ג), or dalet (ד). The only area of maths that uses them at all is set theory, where they represent transfinite numbers.
@@EllieSleightholm the channel you are watching actually has lore basically he just goes in to different multiverses and adventures and he lives in someones computer along with his buddies
A lot of reactors don't really pick this up, but when they were adding 1 to the power at 7:43, the animation is illustrating it by changing its dimensional visualization. So when they go up to 5th dimension, all the 1s are making giant 1s that add together in a 5th dimensional array.
Me, a 32 year old, sitting here and watching a 28min fun video about maths with a smile on my face while knowing full well all context of what I learned in school has been almost completely wiped out of my brain 🥲
Yeah, the way I interpreted that scene was that Orange wanted to leave the world of maths and go back to his own world. He thought Euler could help him, because he repeatedly saw him open gateways, using his _i._ But Euler showed him that this gate only leads into the 90° rotated imaginary realm, which is still part of the mathematical world, which is why Orange was downhearted for a moment. But Euler does _something_ multi-dimensional, which I could no longer follow, symbolised by circles in all thinkable orientations forming around Orange. As the number of dimensions trended towards infinity, Orange somehow transcended the mathematical world and was transported out.
@@SebastianWeinberg At the end, to help TSC escape the mathematical world, Euler created an infinity-dimension sphere by giving out the term of the hypervolume of 2n-ball of radius 1 : at n=0, pi^0 / gamma(0+1) = 1, the (somewhat) volume of a point ; at n=1, pi^1 / gamma(1+1) = pi, the surface of a disk, and so on...
oh boy, it’s fun to see a proper mathematician recognizing everything (well, most of) in real time. you should also check out becker’s sequel to this, “animation vs physics”. spoiler without spoiling: the hollow orange stickman is about as reckless as he is aggressive
@@gummy2bear358 Nah, TSC is the "mom friend" to the rest of his friends. Red is a great pet owner, but definitely not a parental figure to the other sticks.
I like how all the others in the comment section call TSC either “stick person”, “stick man” or “orange stick man” lol. They really do not know what they are getting into the Alan Becker stickverse lore.
At the end, Stickman was asking Euler to help him find a way out of mathspace - he was looking for an EXIT (e x i, and half of pi is visible). I think Euler then created the formula for the volume of an n-dimensional hypersphere to use as a portal to send Stickman back to his own reality. At the very end, the difficult-to-see giant in the background was Aleph-null. :)
Such a neat touch! I think Euler calculated the volume of a unit ball in n-dimensions in the limit, which would actually approach 0 given the formula. For general banach space unit balls, it's a bit different (I believe since for L^p spaces, it is), but regardless, nice touch with the infinite dimensional portal, lol.
My take on the sudden appearance of Eulers identity is that it’s kind of inherent in what’s so strange about negative numbers to begin with. When people first started accepting negative numbers, there’s this whole quality of mystery which already takes you off the map of things that you can count in real life
Which is crazy to me, because I understood negatives numbers at like the earliest ages, since I'm Canadian and the temperature went below zero every winter. Honestly I knew about negative numbers before I knew about multiplication.
@@Dominodude55 sure we grew up with negative numbers. They are intrinsic to debt under capitalism. But imagine growing up with temperature in kelvin. Rather -30 C it would be 243 kelvin
@@Dominodude55 negative numbers were not in use in European mathematics until the 1700s around the time of the invention of modern ideas of debt and the idea of a temperature scale. These are all new ideas. Euler’s identity shows up around the same time in 1748
13:50 Their hilts. "e" has - and "The Second Coming" (yes, that's his name) has +. That's why when they both have 1 blades they result in 0. 22:56 "The Second Coming" shoots with infinity and e catches it with integral. 27:40 That symbol is Aleph. It's so big because it's the smallest infinity.
It's mildly upsetting to me that only now, in my middle years, that I find maths this fascinating. Whereas, as a youth, maths was such a huge disappointment and I was turned off it. Maths was the only subject at school that I actually struggled with. Top sets for everything EXCEPT maths. And yep, it still galls me! 😂
These days there are so many ways to learn online, it's paradoxically become insurmountable. If this Cambridge graduate recommends Brilliant, that might be your best bet
@@wessltov I've grabbed a book that was recommended by The Math Sorcerer. It's probably pitched a little below where I think i'm situated with my maths skills and it's an American book so probably doesn't map directly onto an English curriculum. That said, i've already learned something from the first few pages. Believe it or not, I don't ever recall being taught what Natural, whole, Integer, Rational, Irrational, Real and Imaginary numbers were. At least, not formally. Now I know. ;) The journey begins!
@@kdog3908 Thanks for the recommendation! I feel like, as a software developer, I'm severely lacking in the maths department, and I've been compiling recommendations like that
Nice reaction lmao, this animation has inspired me in so many ways and I was NOT expecting a channel about silly Minecraft and Stickman animations to make such a cool animation for the maths community on YT to enjoy. Some stuff I wanted to quickly mention: -19:55 Nah the dot operator is just referring to "nothing" here, basically the arrow was just above the animation was just tryna show he simplified it heavily into by saying 'tan is just a function (at the end of the day)' -26:09 Euler's identity was spelling out "exit" here -The stickman's name is "The second coming" and is an important character from Alan Becker's other animations and he's just trying to go home (which is Alan's - the maker of these animations - desktop loool)
I've watched two mathematicians reactions to this animation. And all two of them missed that the "exiπ" spells out "exit", and none of them get what happened at the end.
@@p.gofficial3194 No, it’s been 6 months I don’t remember… And also he is an engineer, I was talking about mathematicians who had a degree in pure mathematics.
Its probably tunnel vision, the whole vid was abt math so her mind is completely fixated on math at that point so she was thinking of a formula/equation, ignoring the obvious wordplay
As someone who is NOT a mathematician, hearing the phrase "Oh are we moving into another dimension? Oh four? The fourth dimension? So surely time's gonna play a big part in this" broke my brain a bit.
You can describe our universe in three spatial dimensions (length, width, height) and one temporal dimension (literally just a point in time), which is why she assumed going into four dimensions would lead to some exploration of time. But, this is pure maths, and that goes more into the realm of physics - the next video after this is called animation vs. physics though and definitely worth a watch!
A few points: - At 16:00 they were showing that the arc of 1 radian on the unit circle has a length of 1. - At 19:06 the stick person uses a minus sign to flip sides - At 24:50 the "imaginary world" is rotated 90 degrees, presumably because multiplying by i rotates 90 degrees. - At 26:50 it's playing on the fact that the (hyper)volume of an n-ball is pi^(n/2) / Gamma(n / 2 + 1);
19:46 "I feel like to watch this you need to know quite a bit of maths" Yeah that's why simple computer scientists like me watch reaction videos from actual mathematicians to at least get _some_ idea of what's going on 😂
If no one else has explained, this orange stick figure is a protagonist or deutero-protagonist of several videos and shorts. He's known as The Second Coming (TSC) for... reasons. If TSC can be said to have a particular power, it's that he learns extremely fast. He also seems to be a gifted martial artist, but that's possibly something he picked up in passing. Most content involving TSC is meme style humor, with a few longer form story vids. Animation vs. Math and the follow up Animation vs. Physics are most similar to each other.
26:12 the stickman was trying to explain the "exit" word. Euler constant is "e" letter, multiplication is "x", imaginary number is "i" and half of pi letter is "t", so you can read "exit" word. At the end e^(i*pi) built a kinda portal for stickman. And -1 at the end means stickman has disappeared from that world.
So when Euler was "fencing" with stick man, Euler had a -1 sword and the stick man had a +1 sword. When they clash they cancel to 0, which is why there were flashes of zeroes. And when Euler has upgraded his -1 sword to -4, the stick man's +1 sword "broke" because -4 is greater than +1 but it has reduced the -4 into -3 due to +1 clash. At 14:00
Having the "antagonist" be e^ipi is pretty genius, its something so simple its easy to "discover" by accident, but also something completely alien and inexplicable, but also it ultimately is just a simple equation that naturally follows from the rules of math
Thank you for the straightforward non bs intro and keeping it that way all the way through. Quite refreshing and it's been a while since I've seen a decent reactiom video.
Thank you so much for pausing to explain everything you noticed! I'm not a maths person but I desperately wanted to know what was going on here so it was really helpful when you took the time to explain everything!
Awesome sauce, I love watching reactions to this. Next one should be 'Animation vs Physics. So cool that you are from Cambridge, my most favorite mathematician is from there, John Lennox. Being a meteorologist, wasn't too hard following along, although my maths is a bit rusty. Enjoyed the video. 🥰
27:41 this symbol in the back of Euler, phi, zeta and delta is aleph. According to the Wikipedia or algebra, Aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered. This might be the reason that we hear giant footsteps.
"this is a very agressive stick person" is the perfect way to describe TSC, especially when his friends are in danger i dont know if you know it already, but the stickmans name is The Second Coming or just Seccond for short, and hes a character from Alan Beckers chanel where he has his own series "animation vs animator" and "animation vs minecraft" and they both have insane lore and story, that some people even cried at few of the episodes! (including me)
some lor, stickman is a creature living in the PC of Alan becker, and many times he enters apps and stuck on them not finding the exit back like what happened with minecraft, this time he enters the calculater and this is how the video started, and that's why he was so agressive because he want out, so at the end he was asking the e for exit and he even wrote it with ×eit. however moving him through the higher dimentions of the Gama function didn't let him out but it sent him to Animation VS Physics which you should watch too.
20:52 The reason why 0s are appearing is because of the multiple e^iπ's getting hit from the bullets and turning into 0. TSC (aka "The Second Coming"/Orange Stickman) created the function 9tan(πx). When you replace x with e^iπ, it results in tan(-π), which in radians is 0! Really clever!
Great video and thank you for pausing and explaining the math concepts ❤. Also I think the big letter in the end is the hebrew letter "aleph" and its big because one of the infinities is aleph 0
20:38 f(x) = 9tan(pix) tan(pix) = 0 9tan(pix) = 9 * 0, which is just 0 so f(e^(i*pi)) = 0 which becomes a gun that when substituing e^(i * pi), the 'eulers' become 0, effectively cancelling them
The big symbol in the end is Aleph, i'm sure you know what it is but for people who don't know. it's a really big number stands for how much numbers are in the group N.
26:09 I love how all the smart people that react to this understand all the advanced math then don't understand that TSC is just trying to spell "exit"
Hey ellie! Plz watch animation vs physics too! Because that orange stick figure was teleported from the math world to the physics world in which you have seen at the end of that episode
Elie, have U noticed something?.. that big stick he was using (i.e, numberzilla the transformer) was the integral symbol and how does it forms? Notice that numberzilla is taking lim(x→∞) and that's how integral forms
the "stickman" is called Orange, to differentiate between this guys other charactors; Red, Yellow, Blue, and Green. Alternatively, if you dive into the deep lore of this channel, you could also call Orange "The Second Coming" abbriveated TSC. If these stick charactors have a gender, its completely unknown.
Wait, TSC is still... ALIVE??! Broooo, I remember Watchung the Animator VS. Animation videos a loooong time ago, when they were coming out on Newgrounds and Kongregate... so, after all this time, he's traveling dimensions... I wonder what happened to the Chosen One... ... DO NOT tell me. I have internet and fuck all to do, besides work. Now that I know the original animators name... its time for me to catch up on all that I missed.😊
@@khaisinclair2798 Oh, Boy, am I excited for you, because there has been DEVELOPMENTS. You will never be able to get these stick men out of your brain again.
15:30 The "decimal" was a point. And by moving a that point along a line, he was able to draw axes, from axes construct a coordinate system, and then switch to polar coordinates which are curves driven by radii and angles.
I don't know. i think she's elaborating off the assumption the video is trying to teach anyone anything; and it's not that it might just be a wacky video made for fun? But I mean, hey if someone gets a kick out of understanding it good on them. I'm just here for the stick person shenanigans
She is a math graduate, if anything this makes the reaction more enjoyable, other people who react have no clue on the math thats being used in the animation, theres so many cool hidden features in this animation which only people fluent in math will see
18:46 in this scene, the stickman used the radius and 4(2²) to make the radius that long and used π to make the are of the circle because the Area of the circle is πr²=π2², then used the ×8 to make it 8 times as long
at 8:00 as he had 4 to power to 2 in power it was a square (2 - Dimensions) which had sides of 4 ones... the as he added the +1 to power, it became a cube (3-D) , then to power 4 it became a 4-D cube or a tesseract and then a 5th Dimension
20:30 The function that TSC (yes, that orange stickman is named The Second Coming) implemented was f(x)=9*tan(pi*x). When x=e^i*pi, the result becomes 0.
Ive watched a few mathematicians watch this video and its honestly so fascinating seeing concepts and definitions they discussed be brought up again by you. Except this time I feel a little more part of the conversation lol
8:25 the game was 2048 and it was my favorite back in middle school 27:52 the end was that Stickman transcended the 3D world and is now in a time loop on a higher dimension (these things usually end in a loop
The giant letter at the end you were asking about is the Hebrew ALEPH. In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality of infinite sets that can be well-ordered.
Finally. Someone gets it. As beautiful as Euler's identity may be it is Euler's formula which encapsulates the whole mathematics. (or at least most of it) Notice at 20:15 how he creates calculus from the sin and cos creating the tan which becomes the f of dot which is the dot notation for a derivative. Calculus is nothing but trig and trig is nothing but Euler's formula. This is why earlier when he tosses the dot in the air he forms the iy axis thus y=f'(x). Lastly notice how he forms all the higher dimensions from Eulers formula creating complex numbers to quaternions (-cos+isin) to higher dimensions. This guy Becker knows his stuff. An outstanding achievement.
8:24 For me, when I see 1024 it reminds me of computers. Hard disk drives, memories and partitions. Because, the first time I really very deeply thought about 1024 is when I was giving an windows setup then I was 13 years old.
As a lowly Oxford mathematics graduate, I can hardly understand why I hadn't seen these videos before. Maybe it's because it looked so similar to many other videos that I have seen, so didn't bother. Or maybe it's just the painkillers I'm on scrambling my brain too much and I actually have seen them. Either way, it's a brilliantly done series, and you explain it incredibly well. It's been a long, long time since this stuff was fresh in my mind, and although I'd definitely understand what's going on in general terms, your analysis lends a lot of detail and clarity to such a deep and subtle video. Thanks.
14:21 if you forgotten Positive & Negative The stickman Holds "+1" which is Positive and Euler's Identity have "-1" using in Problem +1-1=-1+1=0 do when the e uses "-4" the 4 decrease to reach 0 which is sometimes called "The Origin"(0,0 in terms of Axis) -4+1=-3,+1=-2,+1=-1,+1=0
the stickmans name is "The Second Coming" (TSC for short) but a lot of people call it "Orange" which could be right because in the rest of alan beckers vids you can see more colored stickmen called by their respective colors (Blue, Green, Yellow, Red, King Orange, Purple). hope this helped clear up some confusion!
26:48 e^iπ is building a formula for adding hypervolumes of hyperspheres from 0 to infinity dimensions. I have no idea why, but it's adding them, would make more sense if it were just the formula for hypervolume of n-dimensional ball without the sum sign. And the gamma(n/2+1) is appeared instead of factorial of n/2.
Euler's formula at 12:49 is incorrect. e^(i*pi) is equal to cos(pi)+i*sin(pi), so -e^(i*pi) equals -cos(pi)-i*sin(pi), the minus sign in front of i*sin is missing
Explanation for most of the things at the end: 1. Euler had a non-verbal talk to Orange (a.k.a. TSC, a.k.a. the stickman in the video,) and they agreed to make up and set aside their differences to: 2. Find an exit. Orange needed to find a way out of the "math dimension," so he communicates to Euler by covering half of the Pi symbol, spelling "exit" with the letters. 3. Euler then shows Orange that just using imaginary numbers won't suffice, as imaginary numbers still exist in a closed system in mathematics. Therefore: 4. Euler uses a formula at 26:50 to essentially "capture" Orange across all possible dimensions (the n-th term is the n-dimensional volume for a unit n-dimensional sphere.) 5. Euler completes the formula, making it equal e^(i(pi)), or -1, resulting in Orange "flipping" dimensions. This allows Orange to escape the "math dimension," as named earlier. 6. The 4 new symbols at the end are: a. Zeta, commonly referred to as the Zeta-Riemann function, used in complex analogy, b. Phi, the symbol for the Golden Ratio, (1.618033) seen commonly in nature, c. Delta (In this case, the lowercase version), which is used as an uncertainty variable in equations like time, and d. Aleph, referred to as the "smallest infinite cardinal number," essentially representing all numbers below "infinity" (to my knowledge.)
I remember back in ground school how I had trouble understanding why you can't divide by 0... The explanation that finally made me "get it" was basically: "Well, if you divide a non-zero A by B, you get C... but if you divide A by 0 to get C, there is no such C where C × 0 = A".
I've always had a love for the law of cosines and also it's relation to the dot product of vectors. Dot products are easy to calculate, but embedded in there is a bunch of information that can be pulled out with the law of cosines.
This animation I feel does an incredible job at showing regular people the depths behind some basic mathematics. Turning negative one into the format of Euler’s identity showed me that even seemingly ‘simple’ things had endless complexity behind it, and it made me really curious to find out more about what was going on. It’s a really good animation for that reason.
The fact that this series from this guy has sent me down a rabbit hole of college level individuals explaining everything so I can understand it even more😂simply for the fact of I wanna understand the video😂
Not sure if you noticed this but when e and the stick person reached a truce and were talking about something, the stick person pulls the i pi down and adds an X. It then covered up half the pi so it looked like the word EXIT. The stick person was asking e for the exit.
The zeros were showing that the clashes of weapons (which were expressions) when added to eachother (clashed together) would equal 0. Example: the first time you saw them, it was a clash of +1 and -1. The odd symbol in the background at the end was a Greek symbol called “aleph” and the reason it was blurred is because aleph null (aka. aleph zero) (the aleph character followed by a subscript 0) is the theoretical highest real number in a sequence of all real numbers counting starting at 0, 1, 2, … It is faded to the background because it is theoretical. (aleph one would be aleph null + aleph null and so on)
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hey, i just want to tell you that the name of the orange stick person is "TheSecondComing"
and yes, these stickperson are called stickmans, all of them
26:11 He manipulates exiPi by covering up part of Pi so it reads "exit" he's looking for an exit. The thing moving at the end is aleph
Odd question. was playing a idle exponential game and I saw something that did not equal what it said it did. Or it did while using the higher dimension you talked about. It look like
x log i arrow to the left x log i + x log i-1^dt
But the math did xlog0=x and xlog1, xlog2 , xlog3 ,log4 where the only difference was times time
So xlog•t=xlog1, xlog•t•t=xlog2, xlog•t•t•t=xlog3, xlog•t•t•t•t=xlog4 I say that because there was a dt that added to make t but if it was 1^d•t and not 1dt it makes alot more sense. Do the professors repeat like that? But have different meanings.
الكيان اسود ضخم في خلفية في نهاية هو اكس رمز مجهول برياضيات
17:14 "This is a very aggressive stick person"
The most succinct explanation of Alan Becker's channel. Well done.
Stick figures have a very active fight culture.
@@lunerblade13 To be fair, they were made to do that
24:04 yeap, the stick person is the aggressive here xD
Ironically, Alan’s stick figures are some of the LEAST violent ones. Orange in particular is a friend to all things (eventually) who only fights for sport or to defend himself until he sees an opportunity to make friends.
Meanwhile most stick figures fight as a first language, mowing down enemies with no need for a motivation.
@@JamUsagi Meanwhile, Victim and TDL...
The reason that zeroes were appearing in the first swordfight between Euler and Stickman was because Euler had a -1 and Stickman had a +1. -1+1=0, so every time their "swords" clashed, it made a zero.
Yesss! Thank you! I spotted it when I was editing 🤦🏼♀️😂
Me too, I thought only I noticed that, but his name is The Second Coming, not just “Stickman”
@@EllieSleightholmand the end was the second coming escaping the graphical dimention, animation vs physics is basically part 2 to this but physics instead of math
Did you get that from a math person that reacted to this video? Because that is exactly what he was saying!!!! In other words, facts
@@HeirLionPrinceYeah
27:42 it was aleph, the smallest cardinal infinity, that's why it was so big
Yesss! I spotted it when editing with better light 🤣 thank you!!
@@EllieSleightholmThanks for sharing Ellie. I hope you can respond to my message about work/life balance when you can.
I was sure it's a Hebrew letter but wasn't sure which one. It was kinda wiped out in the middle. I'm just wondering what is the division of maths that uses Hebrew letters, are there others, besides alef? Do they mean some sets? Thanks
@@lukaskamin755 The only Hebrew letter *_commonly_* used in mathematics is aleph, א, (used with subscripts to denote the cardinality of various infinite sets.) -- other Hebrew letters are much rarer, likely just one of the next three letters: beth (ב), gimel (ג), or dalet (ד). The only area of maths that uses them at all is set theory, where they represent transfinite numbers.
@@irrelevant_noobI really can't count the number of gimels I've used.
26:09 Here the stickman was looking for an exit, quite hard to spot after an overload of mathematics ahhah.
Yea I spotted it after watching it multiple times
Yes thank you! I noticed it when editing! Not me analysing the maths to miss out the most obvious thing 😂😂
@@EllieSleightholm You've been using the Greek alphabet as part of maths, so it's understandable if it takes you a minute to switch to language
@@EllieSleightholm The mobile game everyone was playing back in 2011 was called " 2048 ". I recommend you give it a go again 😊
@@EllieSleightholm the channel you are watching actually has lore basically he just goes in to different multiverses and adventures and he lives in someones computer along with his buddies
A lot of reactors don't really pick this up, but when they were adding 1 to the power at 7:43, the animation is illustrating it by changing its dimensional visualization. So when they go up to 5th dimension, all the 1s are making giant 1s that add together in a 5th dimensional array.
I never noticed that, holy smokes!
That's a new one for me. Always wondered why it looked like pillars
Its name is The Second Coming, by the way!
So the game you were talking about is called 2048 and yes it was huge a few years back! You unlocked a core memory for me lol
2048 is still the choice game for bored children on school devices
@@genderenigma8276 i can confirm
@@genderenigma8276 my highscore in school is 70,469
@@genderenigma8276 ye smart watches
@@genderenigma8276i have a 2048 browser extension and im a bored kid in school
Me, a 32 year old, sitting here and watching a 28min fun video about maths with a smile on my face while knowing full well all context of what I learned in school has been almost completely wiped out of my brain 🥲
Me, a 40 yo, relates.
Quite a bit of this math is at the undergraduate level, so don't feel too bad.
@@shoyuramenoffno it isn’t 💀
you are not the only one my friend LOL
the ending:
the stickman was looking for a way out.
e, ×, i and then the first half of π, altogether look like the word "exit"
edit: stop liking this
Yeah, the way I interpreted that scene was that Orange wanted to leave the world of maths and go back to his own world. He thought Euler could help him, because he repeatedly saw him open gateways, using his _i._ But Euler showed him that this gate only leads into the 90° rotated imaginary realm, which is still part of the mathematical world, which is why Orange was downhearted for a moment.
But Euler does _something_ multi-dimensional, which I could no longer follow, symbolised by circles in all thinkable orientations forming around Orange. As the number of dimensions trended towards infinity, Orange somehow transcended the mathematical world and was transported out.
@@SebastianWeinberghe's called TSC (the second coming), not "orange"
@@pinkmonkeygamer And this would have furthered clarity and helped understanding… how exactly?
@@SebastianWeinberg Maybe you wouldn't be asking stupid questions like that if you weren't a f***ing nerd
@@SebastianWeinberg At the end, to help TSC escape the mathematical world, Euler created an infinity-dimension sphere by giving out the term of the hypervolume of 2n-ball of radius 1 : at n=0, pi^0 / gamma(0+1) = 1, the (somewhat) volume of a point ; at n=1, pi^1 / gamma(1+1) = pi, the surface of a disk, and so on...
oh boy, it’s fun to see a proper mathematician recognizing everything (well, most of) in real time. you should also check out becker’s sequel to this, “animation vs physics”. spoiler without spoiling: the hollow orange stickman is about as reckless as he is aggressive
Not quite as reckless as his friend Red, but definitely a close second.
@@ivertranes2516 red is more of a parent i would say
@@gummy2bear358 Nah, TSC is the "mom friend" to the rest of his friends. Red is a great pet owner, but definitely not a parental figure to the other sticks.
I like how all the others in the comment section call TSC either “stick person”, “stick man” or “orange stick man” lol. They really do not know what they are getting into the Alan Becker stickverse lore.
@@Shaders_ exactly
At the end, Stickman was asking Euler to help him find a way out of mathspace - he was looking for an EXIT (e x i, and half of pi is visible). I think Euler then created the formula for the volume of an n-dimensional hypersphere to use as a portal to send Stickman back to his own reality.
At the very end, the difficult-to-see giant in the background was Aleph-null. :)
Such a neat touch! I think Euler calculated the volume of a unit ball in n-dimensions in the limit, which would actually approach 0 given the formula. For general banach space unit balls, it's a bit different (I believe since for L^p spaces, it is), but regardless, nice touch with the infinite dimensional portal, lol.
For all of you new and wandering what's is name of the stick man, the name is "The Second Coming" TSC
its not aleph null its just the aleph symbol
Euler's number runs away and is 'growling' because it's an irrational number
Big thing moving in the background at the end: Aleph Null
"Stickman" was looking for an exit to go back to his world
Yeah, TSC (aka Stickman) spelled out e×iτ (exit)
TSC=The Second Coming
But ended up in “Animation vs physics”.
My take on the sudden appearance of Eulers identity is that it’s kind of inherent in what’s so strange about negative numbers to begin with. When people first started accepting negative numbers, there’s this whole quality of mystery which already takes you off the map of things that you can count in real life
Which is crazy to me, because I understood negatives numbers at like the earliest ages, since I'm Canadian and the temperature went below zero every winter. Honestly I knew about negative numbers before I knew about multiplication.
@@Dominodude55 sure we grew up with negative numbers. They are intrinsic to debt under capitalism. But imagine growing up with temperature in kelvin. Rather -30 C it would be 243 kelvin
@@Sagitarria Did anyone grow up learning kelvin? I feel like it's a science temperature, not an every day one.
@@Dominodude55 negative numbers were not in use in European mathematics until the 1700s around the time of the invention of modern ideas of debt and the idea of a temperature scale. These are all new ideas.
Euler’s identity shows up around the same time in 1748
Until then no one grew up with any of this.
13:50 Their hilts. "e" has - and "The Second Coming" (yes, that's his name) has +. That's why when they both have 1 blades they result in 0.
22:56 "The Second Coming" shoots with infinity and e catches it with integral.
27:40 That symbol is Aleph. It's so big because it's the smallest infinity.
It's mildly upsetting to me that only now, in my middle years, that I find maths this fascinating. Whereas, as a youth, maths was such a huge disappointment and I was turned off it. Maths was the only subject at school that I actually struggled with. Top sets for everything EXCEPT maths. And yep, it still galls me! 😂
Don't blame yourself for the lack of interest, blame the schools themselves for not making it interesting.
These days there are so many ways to learn online, it's paradoxically become insurmountable.
If this Cambridge graduate recommends Brilliant, that might be your best bet
@@wessltov I've grabbed a book that was recommended by The Math Sorcerer. It's probably pitched a little below where I think i'm situated with my maths skills and it's an American book so probably doesn't map directly onto an English curriculum. That said, i've already learned something from the first few pages. Believe it or not, I don't ever recall being taught what Natural, whole, Integer, Rational, Irrational, Real and Imaginary numbers were. At least, not formally. Now I know. ;) The journey begins!
@@kdog3908 Thanks for the recommendation!
I feel like, as a software developer, I'm severely lacking in the maths department, and I've been compiling recommendations like that
me irl
The game youre remembering at 8:20 is 2048, i was bad at it.
Nice reaction lmao, this animation has inspired me in so many ways and I was NOT expecting a channel about silly Minecraft and Stickman animations to make such a cool animation for the maths community on YT to enjoy.
Some stuff I wanted to quickly mention:
-19:55 Nah the dot operator is just referring to "nothing" here, basically the arrow was just above the animation was just tryna show he simplified it heavily into by saying 'tan is just a function (at the end of the day)'
-26:09 Euler's identity was spelling out "exit" here
-The stickman's name is "The second coming" and is an important character from Alan Becker's other animations and he's just trying to go home (which is Alan's - the maker of these animations - desktop loool)
I've watched two mathematicians reactions to this animation. And all two of them missed that the "exiπ" spells out "exit", and none of them get what happened at the end.
really?. well you didn't see nuclear engineer Reacts to Animation VS math
@@p.gofficial3194 No, it’s been 6 months I don’t remember… And also he is an engineer, I was talking about mathematicians who had a degree in pure mathematics.
@@groff8657 oh my bad
I love how she knows all these complex math equations that my mind can't even comprehend and didn't get that he was asking for the Exit
Its probably tunnel vision, the whole vid was abt math so her mind is completely fixated on math at that point so she was thinking of a formula/equation, ignoring the obvious wordplay
As someone who is NOT a mathematician, hearing the phrase "Oh are we moving into another dimension? Oh four? The fourth dimension? So surely time's gonna play a big part in this" broke my brain a bit.
You can describe our universe in three spatial dimensions (length, width, height) and one temporal dimension (literally just a point in time), which is why she assumed going into four dimensions would lead to some exploration of time. But, this is pure maths, and that goes more into the realm of physics - the next video after this is called animation vs. physics though and definitely worth a watch!
I understand that math is not my field.
Same.
Real
Don't worry you won't need to know A^2 + B^2 = C^2
Same same
@@TheMatop lol
I love how everyone's reaction to just the number 1, is saying "1" with any sort of energy. Always love it
A few points:
- At 16:00 they were showing that the arc of 1 radian on the unit circle has a length of 1.
- At 19:06 the stick person uses a minus sign to flip sides
- At 24:50 the "imaginary world" is rotated 90 degrees, presumably because multiplying by i rotates 90 degrees.
- At 26:50 it's playing on the fact that the (hyper)volume of an n-ball is pi^(n/2) / Gamma(n / 2 + 1);
The way you remember your 2^n tables at 8:51 is really cool, i'm a computer scientist so i just remember them by taking 8^n and dividing by 4
8:08 I think the game you mentioned is 2048 which is one of my favorite games.
Yeah just multiply 1024 by 2 and *then* you’ll get the actual name of that game.😂
Yeah, it's great. I always play it when I'm bored
19:46 "I feel like to watch this you need to know quite a bit of maths" Yeah that's why simple computer scientists like me watch reaction videos from actual mathematicians to at least get _some_ idea of what's going on 😂
Great analysis Ellie! Btw, you can move through a video frame by frame with < and > while the video is paused
If no one else has explained, this orange stick figure is a protagonist or deutero-protagonist of several videos and shorts. He's known as The Second Coming (TSC) for... reasons.
If TSC can be said to have a particular power, it's that he learns extremely fast. He also seems to be a gifted martial artist, but that's possibly something he picked up in passing.
Most content involving TSC is meme style humor, with a few longer form story vids. Animation vs. Math and the follow up Animation vs. Physics are most similar to each other.
26:12 the stickman was trying to explain the "exit" word. Euler constant is "e" letter, multiplication is "x", imaginary number is "i" and half of pi letter is "t", so you can read "exit" word. At the end e^(i*pi) built a kinda portal for stickman. And -1 at the end means stickman has disappeared from that world.
So when Euler was "fencing" with stick man, Euler had a -1 sword and the stick man had a +1 sword. When they clash they cancel to 0, which is why there were flashes of zeroes.
And when Euler has upgraded his -1 sword to -4, the stick man's +1 sword "broke" because -4 is greater than +1 but it has reduced the -4 into -3 due to +1 clash. At 14:00
23:38 this is actually clever, since the stickman combines cos and isin to create the euler formula, which then turns other eulers into 0
Having the "antagonist" be e^ipi is pretty genius, its something so simple its easy to "discover" by accident, but also something completely alien and inexplicable, but also it ultimately is just a simple equation that naturally follows from the rules of math
Thank you for the straightforward non bs intro and keeping it that way all the way through. Quite refreshing and it's been a while since I've seen a decent reactiom video.
i love your passion for maths, and the way you pause the video to understand it for yourself and explain the things for us is really cool
8:27 -- The game she's referring to is 2048.
Thank you so much for pausing to explain everything you noticed! I'm not a maths person but I desperately wanted to know what was going on here so it was really helpful when you took the time to explain everything!
Awesome sauce, I love watching reactions to this. Next one should be 'Animation vs Physics. So cool that you are from Cambridge, my most favorite mathematician is from there, John Lennox. Being a meteorologist, wasn't too hard following along, although my maths is a bit rusty. Enjoyed the video. 🥰
27:41 this symbol in the back of Euler, phi, zeta and delta is aleph. According to the Wikipedia or algebra, Aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered. This might be the reason that we hear giant footsteps.
"this is a very agressive stick person" is the perfect way to describe TSC, especially when his friends are in danger
i dont know if you know it already, but the stickmans name is The Second Coming or just Seccond for short, and hes a character from Alan Beckers chanel where he has his own series "animation vs animator" and "animation vs minecraft" and they both have insane lore and story, that some people even cried at few of the episodes! (including me)
some lor, stickman is a creature living in the PC of Alan becker, and many times he enters apps and stuck on them not finding the exit back like what happened with minecraft, this time he enters the calculater and this is how the video started, and that's why he was so agressive because he want out, so at the end he was asking the e for exit and he even wrote it with ×eit. however moving him through the higher dimentions of the Gama function didn't let him out but it sent him to Animation VS Physics which you should watch too.
26:09 the stickman is trying to explain that he is looking for the exit, so he is spelling out the word "exit" using the available maths symbols.
The last symbol in the back at the end is aleph, for the categorisation of the infinities.
this was very in depth observation and explanation of the animation. It was very entertaining, great job
20:52 The reason why 0s are appearing is because of the multiple e^iπ's getting hit from the bullets and turning into 0.
TSC (aka "The Second Coming"/Orange Stickman) created the function 9tan(πx). When you replace x with e^iπ, it results in tan(-π), which in radians is 0! Really clever!
Great video and thank you for pausing and explaining the math concepts ❤. Also I think the big letter in the end is the hebrew letter "aleph" and its big because one of the infinities is aleph 0
love this place created by this video 🎉
&
thanks so much for reacting to this - helps understand a lot of what's going on ❤
13:56 the zero is because eulers equation is -1 and stickman does +1 i think
26:58
The Second Coming (TSC), aka orange stick man, needed to get out of the “maths world”. He spelt out the word “exit” 26:09
20:38
f(x) = 9tan(pix)
tan(pix) = 0
9tan(pix) = 9 * 0, which is just 0
so f(e^(i*pi)) = 0
which becomes a gun that when substituing e^(i * pi), the 'eulers' become 0, effectively cancelling them
It was Aleph (as in aleph null) in the background
א for anyone wondering its this
The big symbol in the end is Aleph, i'm sure you know what it is but for people who don't know. it's a really big number stands for how much numbers are in the group N.
26:09 I love how all the smart people that react to this understand all the advanced math then don't understand that TSC is just trying to spell "exit"
Hey ellie! Plz watch animation vs physics too! Because that orange stick figure was teleported from the math world to the physics world in which you have seen at the end of that episode
Elie, have U noticed something?.. that big stick he was using (i.e, numberzilla the transformer) was the integral symbol and how does it forms? Notice that numberzilla is taking lim(x→∞) and that's how integral forms
I mean *ellie 😅
Thanks for adding so much explanation and content! I can now enjoy it more because I understand some of it better!
Very nice video Ellie💟
Alan Becker is just a famous animator/channel in general, and this was probably the video of his that exploded the most fiercely.
the "stickman" is called Orange, to differentiate between this guys other charactors; Red, Yellow, Blue, and Green. Alternatively, if you dive into the deep lore of this channel, you could also call Orange "The Second Coming" abbriveated TSC. If these stick charactors have a gender, its completely unknown.
Wait, TSC is still... ALIVE??! Broooo, I remember Watchung the Animator VS. Animation videos a loooong time ago, when they were coming out on Newgrounds and Kongregate... so, after all this time, he's traveling dimensions... I wonder what happened to the Chosen One...
... DO NOT tell me. I have internet and fuck all to do, besides work. Now that I know the original animators name... its time for me to catch up on all that I missed.😊
@@khaisinclair2798 Oh, Boy, am I excited for you, because there has been DEVELOPMENTS. You will never be able to get these stick men out of your brain again.
15:30
The "decimal" was a point. And by moving a that point along a line, he was able to draw axes, from axes construct a coordinate system, and then switch to polar coordinates which are curves driven by radii and angles.
2048 not 1024
26:11 it spells exiT
I just love how excited and happy they get with eveey new equation, it's wholesome 😭❤️
Love the commentary, could you do a video about the unit circle?
Thank you!! Of course!
At the end, the stick man was sent home to his own world.
The game you're thinking of was called 2048 and was about getting to 2048, not 1024.
I remember it as 1024 too, maybe a newer version of the game is 2048? I mean it would make sense! 😅 ~
I love the proof for the square root of 2 being irrational. One of my favorite homework assignments during undergrad.
What is she talking about all the time?
I don't know. i think she's elaborating off the assumption the video is trying to teach anyone anything; and it's not that it might just be a wacky video made for fun? But I mean, hey if someone gets a kick out of understanding it good on them. I'm just here for the stick person shenanigans
She is a math graduate, if anything this makes the reaction more enjoyable, other people who react have no clue on the math thats being used in the animation, theres so many cool hidden features in this animation which only people fluent in math will see
At 26:08 he spelled "exit", they were searching an exit for the stickman and at the end the giant thing was aleph - null
Wow that's great (Pls marry me💍)
WTF? Get away from me
Lol
📸💀
Brother... Dont comment with that shit lmao
Unless if yo joking
18:46 in this scene, the stickman used the radius and 4(2²) to make the radius that long and used π to make the are of the circle because the Area of the circle is πr²=π2², then used the ×8 to make it 8 times as long
at 8:00 as he had 4 to power to 2 in power it was a square (2 - Dimensions) which had sides of 4 ones... the as he added the +1 to power, it became a cube (3-D) , then to power 4 it became a 4-D cube or a tesseract and then a 5th Dimension
For future reference, you can skip frame by frame in TH-cam by using the comma (back a frame) and period (forward a frame) keys.
20:30 The function that TSC (yes, that orange stickman is named The Second Coming) implemented was f(x)=9*tan(pi*x). When x=e^i*pi, the result becomes 0.
Ive watched a few mathematicians watch this video and its honestly so fascinating seeing concepts and definitions they discussed be brought up again by you. Except this time I feel a little more part of the conversation lol
8:25 the game was 2048 and it was my favorite back in middle school
27:52 the end was that Stickman transcended the 3D world and is now in a time loop on a higher dimension (these things usually end in a loop
The giant letter at the end you were asking about is the Hebrew ALEPH. In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality of infinite sets that can be well-ordered.
Finally. Someone gets it. As beautiful as Euler's identity may be it is Euler's formula which encapsulates the whole mathematics. (or at least most of it) Notice at 20:15 how he creates calculus from the sin and cos creating the tan which becomes the f of dot which is the dot notation for a derivative. Calculus is nothing but trig and trig is nothing but Euler's formula. This is why earlier when he tosses the dot in the air he forms the iy axis thus y=f'(x). Lastly notice how he forms all the higher dimensions from Eulers formula creating complex numbers to quaternions (-cos+isin) to higher dimensions. This guy Becker knows his stuff. An outstanding achievement.
8:24 For me, when I see 1024 it reminds me of computers. Hard disk drives, memories and partitions. Because, the first time I really very deeply thought about 1024 is when I was giving an windows setup then I was 13 years old.
As a lowly Oxford mathematics graduate, I can hardly understand why I hadn't seen these videos before.
Maybe it's because it looked so similar to many other videos that I have seen, so didn't bother.
Or maybe it's just the painkillers I'm on scrambling my brain too much and I actually have seen them.
Either way, it's a brilliantly done series, and you explain it incredibly well.
It's been a long, long time since this stuff was fresh in my mind, and although I'd definitely understand what's going on in general terms, your analysis lends a lot of detail and clarity to such a deep and subtle video.
Thanks.
The stickman's name is TSC by the way.(Short for The Chosen One).
The Chosen One would be TCO! TSC means The Second Coming!
14:21 if you forgotten Positive & Negative The stickman Holds "+1" which is Positive and Euler's Identity have "-1" using in Problem +1-1=-1+1=0 do when the e uses "-4" the 4 decrease to reach 0 which is sometimes called "The Origin"(0,0 in terms of Axis) -4+1=-3,+1=-2,+1=-1,+1=0
the stickmans name is "The Second Coming" (TSC for short) but a lot of people call it "Orange" which could be right because in the rest of alan beckers vids you can see more colored stickmen called by their respective colors (Blue, Green, Yellow, Red, King Orange, Purple). hope this helped clear up some confusion!
26:52 I think that’s the generating function for the n-sphere volumes, so he is rebuilding the whole R^n
26:48 e^iπ is building a formula for adding hypervolumes of hyperspheres from 0 to infinity dimensions. I have no idea why, but it's adding them, would make more sense if it were just the formula for hypervolume of n-dimensional ball without the sum sign. And the gamma(n/2+1) is appeared instead of factorial of n/2.
27:40 that thing in the nackground is the aleph symbol i think
Euler's formula at 12:49 is incorrect. e^(i*pi) is equal to cos(pi)+i*sin(pi), so -e^(i*pi) equals -cos(pi)-i*sin(pi), the minus sign in front of i*sin is missing
To put any stickman animation into context you should watch some of the original Animator vs Animation sketches by Alan Becker.
Explanation for most of the things at the end:
1. Euler had a non-verbal talk to Orange (a.k.a. TSC, a.k.a. the stickman in the video,) and they agreed to make up and set aside their differences to:
2. Find an exit. Orange needed to find a way out of the "math dimension," so he communicates to Euler by covering half of the Pi symbol, spelling "exit" with the letters.
3. Euler then shows Orange that just using imaginary numbers won't suffice, as imaginary numbers still exist in a closed system in mathematics. Therefore:
4. Euler uses a formula at 26:50 to essentially "capture" Orange across all possible dimensions (the n-th term is the n-dimensional volume for a unit n-dimensional sphere.)
5. Euler completes the formula, making it equal e^(i(pi)), or -1, resulting in Orange "flipping" dimensions. This allows Orange to escape the "math dimension," as named earlier.
6. The 4 new symbols at the end are:
a. Zeta, commonly referred to as the Zeta-Riemann function, used in complex analogy,
b. Phi, the symbol for the Golden Ratio, (1.618033) seen commonly in nature,
c. Delta (In this case, the lowercase version), which is used as an uncertainty variable in equations like time, and
d. Aleph, referred to as the "smallest infinite cardinal number," essentially representing all numbers below "infinity" (to my knowledge.)
17:47 about agressive : you didnt understand the deep origins of this history : animation vs animator ... Agressive is the heart of this lore.
In the background that was א
As in א null from descret mathematics
(Alef null)
16:28 “when you increase, it will increase, and when you decrease it will decrease, which actually makes a lot of sense!”
I remember back in ground school how I had trouble understanding why you can't divide by 0... The explanation that finally made me "get it" was basically: "Well, if you divide a non-zero A by B, you get C... but if you divide A by 0 to get C, there is no such C where C × 0 = A".
2:27 has to be the greatest team up of all time, completely unexpected and amazing.
I've always had a love for the law of cosines and also it's relation to the dot product of vectors. Dot products are easy to calculate, but embedded in there is a bunch of information that can be pulled out with the law of cosines.
26:13 he’s spelling “Exit” by adding an X and covering up half the Pi to make it look like a T
This animation I feel does an incredible job at showing regular people the depths behind some basic mathematics. Turning negative one into the format of Euler’s identity showed me that even seemingly ‘simple’ things had endless complexity behind it, and it made me really curious to find out more about what was going on. It’s a really good animation for that reason.
The fact that this series from this guy has sent me down a rabbit hole of college level individuals explaining everything so I can understand it even more😂simply for the fact of I wanna understand the video😂
The small detail that when he gets shot by a negative sign the stick figure mirrors its side, lol. Not even a mathematician but that made me chuckle
Not sure if you noticed this but when e and the stick person reached a truce and were talking about something, the stick person pulls the i pi down and adds an X. It then covered up half the pi so it looked like the word EXIT. The stick person was asking e for the exit.
The zeros were showing that the clashes of weapons (which were expressions) when added to eachother (clashed together) would equal 0. Example: the first time you saw them, it was a clash of +1 and -1.
The odd symbol in the background at the end was a Greek symbol called “aleph” and the reason it was blurred is because aleph null (aka. aleph zero) (the aleph character followed by a subscript 0) is the theoretical highest real number in a sequence of all real numbers counting starting at 0, 1, 2, …
It is faded to the background because it is theoretical. (aleph one would be aleph null + aleph null and so on)