Cambridge Mathematician Reacts to 'Animation vs Math'

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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.

17:14 "This is a very aggressive stick person" The most succinct explanation of Alan Becker's channel. Well done.

27:42 it was aleph, the smallest cardinal infinity, that's why it was so big

26:09 Here the stickman was looking for an exit, quite hard to spot after an overload of mathematics ahhah.

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"

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

There was a lot missed here. 2:20 The first appearance of Euler's. At this point, we only have addition and subtraction, so Stickman doesn't have the tools to understand, let alone contest e^i(pi) 10:46 Previously, e^i(pi) multiplied by i to go imaginary. i x i x i forces Euler's back to reality 13:45 Stickman has +1. Euler's has -1. +1-1 = 0 After that, Euler's goes to 4, and this breaks Stickman's weapon three times. Stickman then draws a second sword, and +1+1-1 = 1, which knocks back Euler's. That then combines into 2x2=4 giving Stickman a bow. 17:25 A lot happens quickly here. Multiplying sin by i rotates sin 90 degrees. Now having isin(t) and cos(t), this becomes Euler's again. Fencing is as before, with Euler's manipulating its power to do complex moves. 18:45 Stickman multiplies a radian by 4 to make a circle, then the circle by pi to get a disc as a shield. Multiplying the disk by 8 gives a cylinder 19:20 Sin(t) of the circle going left creates 0 > sint(t) > -inf, which blows Euler's out of the circle. Euler then multiplies itself while Stickman makes 9 tan (t) as a vector function. 9 tan (Euler's) = 0 21:42 Pi radians onto the angle swings stickman 180 degrees. 22:56 Integrals can handle infinities thanks to limits, so the function gun to infinity no longer works. 23:36 Adding the function gun to theta. Then i sin(t) and cos(t) applied to the function makes the wave that was shown earlier, and the tangent function obliterates everything. 24:08 A single integral cannot handle a multivariable. 25:00 It was once believed that imaginary numbers broke math, and the function beam, thanks to its now very high amplitude, is adding a lot of pressure. 26:08 This spells Exit 26:30 e^(i(pi)/2) rotates Euler's 90 degrees, bringing him back to the gun, which has been in an always-on state thanks to pi jamming the trigger. 26:50 The gamma function can be used to deal with a non-integer, such as Stickman. Euler's then places an i, turning e^(pi) to e^i(pi), which simplifies to -1 and banishes Stickman. 27:50 The big grey thing is aleph. aleph(0) is the smallest infinity, which is why it is so big.

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 🥲

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. :)

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

Big thing moving in the background at the end: Aleph Null "Stickman" was looking for an exit to go back to his world

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! 😂

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

"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)

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

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

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.

Euler's number runs away and is 'growling' because it's an irrational number