Oxford University Mathematician REACTS to "Animation vs. Math"

  • Опубликовано: День назад

    Tom Rocks MathsTom Rocks Maths
    подписчиков: 180 тыс.

    Oxford Mathematician Dr Tom Crawford watches @alanbecker's "Animation vs. Math" for the very first time. Watch the original video here: • Animation vs. Math
    *The copyright of the original video is the property of Alan Becker. The footage is shown here under a fair usage policy.
    The "Gamma Function" video can be found here: • What is the Gamma Func...
    Watch Tom take a variety of high school maths exams from around the world on the designated playlist here: • Exams
    Watch Tom on 'Numberphile' here: • Parabolic Mirrors - Nu...
    Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow in Mathematics at St Edmund Hall: www.seh.ox.ac.uk/people/tom-c...
    For more maths content check out Tom's website tomrocksmaths.com/
    You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
    / tomrocksmaths
    / tomrocksmaths
    / tomrocksmaths
    Get your Tom Rocks Maths merchandise here:
    beautifulequations.net/collec...

@TomRocksMaths +2020
@TomRocksMaths

Watch the original video by Alan Becker here: https://www.youtube.com/watch?v=B1J6Ou4q8vE

7 месяцев назад
@gavros9636 +17
@gavros9636

The infinite series at the end with the gamma function was summing up the areas of all even hyperspheres from 0 to infinity with radius 1.

7 месяцев назад
@themathhatter5290 +16
@themathhatter5290

Most of the rest of the channel is actually the series "Animator vs Animation", and concurrently "Animation vs Minecraft". There's an actual storyline involving the orange stick and friends.

7 месяцев назад
@NinjaOnANinja +8
@NinjaOnANinja

Important math question. Very serious. You would agree, 100%. What kinda wine do you drink? I need a new flavor

7 месяцев назад
@TheSpacePlaceYT +6
@TheSpacePlaceYT

By the way, Aleph is also at the end, similar to Aleph Nol (min infinity)

7 месяцев назад
@lukasnullmeier7819 +4
@lukasnullmeier7819

@@TheSpacePlaceYT It has a lot of dinosaur vibes.

7 месяцев назад
@raeludiansa3654 +14213
@raeludiansa3654

Orange learned math in 20 minutes and yet i cant even understand half of the things he learned after 12 years

7 месяцев назад
@ralexcraft990 +1024
@ralexcraft990

I mean, Orange is a being literally made of math (he’s vector animation as opposed to raster)

7 месяцев назад
@CPU_99 +488
@CPU_99

His name is "The Second Coming" or "TSC"

7 месяцев назад
@THE_KIWI213 +69
@THE_KIWI213

#relatable

7 месяцев назад
@ralexcraft990 +331
@ralexcraft990

@@CPU_99 we still call him orange, we know he’s called the second coming, but we’ll still call him orange.

7 месяцев назад
@tinkeringtim7999 +93
@tinkeringtim7999

Perhaps you need to enter an existential maths duel.

7 месяцев назад
@pillgrimm +1649
@pillgrimm

Seeing this dude get excited about numbers makes me so happy for some reason

4 месяца назад
@kelisegenti6887 +39
@kelisegenti6887

Barely numbers at that point 😭

4 месяца назад
@eldust +14
@eldust

the same for me, it makes me happy, don't know why, but it makes me happy

3 месяца назад
@BLOOD_AND_INK +2
@BLOOD_AND_INK

Same *and I don’t know why*

2 месяца назад
@ethansanchez6267 +7
@ethansanchez6267

It's just nice seeing someone geek out about the things they're passionate about when it's represented in a fun and interesting way.

2 месяца назад
@user-sh4jb2zf6r +1
@user-sh4jb2zf6r

This is exactly what i thought the same thing. But i saw the original video (animation vs maths). What i loved about the video was that it brought a huge number of reactions and comments. The highest i have seen in recent times. i think i saw 45 M views. This shows that there are still plenty of humans who care about actual things that matter. That are not just pure entertainment

2 месяца назад
@mr.random4647 +453
@mr.random4647

17:06 “That is one badass orange stick figure.” Buddy,, you have no idea how right you are

7 месяцев назад
@jimmyg3835 +9
@jimmyg3835

yea

6 месяцев назад
@thunderbeast6512 +10
@thunderbeast6512

his name is the second coming

6 месяцев назад
@sandrinecestmoi892
@sandrinecestmoi892

​@@thunderbeast6512here is an undetailed description of TFC: an orange stick figure

6 месяцев назад
@EthanYZX +17
@EthanYZX

*The second coming casually killing a red stickman who wanted to destroy all YouTube*

6 месяцев назад
@curious.8 +6
@curious.8

@@thunderbeast6512yeah but we would just call him orange normally as a nickname

6 месяцев назад
@shinypikagaming +356
@shinypikagaming

I love how you can always see the exact moment he goes from lecturing about mathematical principles to remembering he’s talking about a stickman fighting the personification of these principles…

4 месяца назад
@percivul1786 +1348
@percivul1786

Actually, the function gun is firing the equivalent 1 of the prime series or just "1". When it's hitting the various Euler's Identity targets, they have their values changed from -1 to 0, which cancels them out. This is why you see a 0 form above the targets that Orange hits with the function gun.

7 месяцев назад
@dread_nought
@dread_nought

shut up

7 месяцев назад
@megauser8512 +17
@megauser8512

Actually no, it is firing f(pi) = 9 tan(pi) = 0 at all of the series.

7 месяцев назад
@percivul1786 +83
@percivul1786

@@megauser8512 Re read what I wrote. ;) I said it's firing the EQUIVALENT of 1, which is what you'd need to cancel out the -1 from the Euler entities. I could have perhaps worded it differently, but the outcome is the same. Zero.

7 месяцев назад
@pocarski +25
@pocarski

@@percivul1786 Orange took a gamble with the function gun, there was no way of knowing if its result will be added to the target or multiplied by it. Had it been additive, he'd be shooting blanks

6 месяцев назад
@kirbylover_6 +23
@kirbylover_6

@@pocarskihis point was it WAS additive, adding one and changing the -1 that e^i(pi) is, to a 0. At least, I think so

6 месяцев назад
@hotshot2457 +773
@hotshot2457

I think this is what students who struggle with math need. Interactive math thats fun and makes something thats hard be more fun to keep people motivated and entertained so that they can pay attention and learn in the process

6 месяцев назад
@ringding1000 +44
@ringding1000

As a former math tutor who worked with students who were behind the curve, math is always far more fun when you teach it with fun practical applications. The math becomes real for them. I would have shown this animation to them in a heartbeat to show the playfulness that is math.

5 месяцев назад
@sargentgullible2794 +15
@sargentgullible2794

​@@ringding1000 I would like to mention that showing off some little video-game function that uses real-world math could be an effective way too, not a math teacher or teacher in general by any means. Like, I can just see these kids question how the actual heck that game pulled it out of their ass. Folks, real math at work here, not magic tech haha.

3 месяца назад
@amadeux5471 +8
@amadeux5471

It’s going to be so fun trying to figure out how the fight makes sense lol

3 месяца назад
@marosynth6434 +3907
@marosynth6434

Alan said in the comments of the animation that his lead animator is "the math nerd behind all this" so big props to him too

7 месяцев назад
@danieljoybaguio7975 +158
@danieljoybaguio7975

His name is Terkoiz, fyi.

7 месяцев назад
@marosynth6434 +54
@marosynth6434

@@danieljoybaguio7975 thanks! I was looking to see if I could find it but I couldn't, maybe I just missed it

7 месяцев назад
@vanne-necashionofbread9095 +57
@vanne-necashionofbread9095

​@@danieljoybaguio7975wait THE Terkoiz from the Shock series?

7 месяцев назад
@Shuriken255 +118
@Shuriken255

@@vanne-necashionofbread9095 Yes, the animator who animated shock series works for Alan Becker full-time. :)

7 месяцев назад
@darkerrex1442 +20
@darkerrex1442

@@Shuriken255 Wait SHURIKEN?! How are you here, and happy to see ya!

7 месяцев назад
@omegaschatterbox8366 +311
@omegaschatterbox8366

i have not understood a single word this entire video but i enjoyed every minute of it, watching him get excited for each new part of it iconic

5 месяцев назад
@MrBarun1981 +1
@MrBarun1981

The word ok?

2 месяца назад
@edwinlevin7959
@edwinlevin7959

​@@MrBarun1981 what?

5 дней назад
@boomaletslearntogether +384
@boomaletslearntogether

As a mathematics teacher, I always dream of explaining math concepts in an interesting and amazing way. Let me say, Alan Becker have done wonderful work in this regard, even though words are not enough to express my feelings. In my review/reaction video (animation vs math in Urdu Hindi), I tried to explain this masterpiece in Urdu/Hindi for roughly 1 billion people in Pakistan and India!

5 месяцев назад
@BEASTangel130-gg8ph +5
@BEASTangel130-gg8ph

I am so sorry to be that guy, but it’s Alan Becker*

5 месяцев назад
@boomaletslearntogether +8
@boomaletslearntogether

@@BEASTangel130-gg8ph my mistake thanks for highlighting

5 месяцев назад
@TitanSpeakermanOffical247 +1
@TitanSpeakermanOffical247

same i thought math was boring but Alan Becker proved me wrong

Месяц назад
@safiyaarif5112
@safiyaarif5112

Oh my God I need to watch it in urdu now because I don't know math at all( like complex one) would love to see a reaction in urdu ❤

Месяц назад
@nighton8223 +106
@nighton8223

Although this is the only math related animation on Alan’s channel, he is arguably one of the most creative animators in the world; using nothing but stick figures who don’t speak no less. This franchise began back in 2006 when Alan was only 17 years old and made a video called “Animator vs. Animation” on Newgrounds just for fun. Now the series as a whole has over five billion views on YouTube and is still going strong with 24+ million subscribers. Alan Becker is the living embodiment of hard work always pays off for those who pursue their passion with all of their being.

5 месяцев назад
@internetgas3263
@internetgas3263

Yes, getting a reaction video from one, who is in the Matter, helps very mutch. -i is a bixxx 😂

2 месяца назад
@vitaliitomas8121 +1
@vitaliitomas8121

There are physics now too

2 месяца назад
@daniellemurnett2534 +504
@daniellemurnett2534

Alan has a bit of a tendency to reinvent the genre of stick-fight animations. Going all the way back to the original Animator Vs. Animation, the concept was a really novel idea. Then AVA 4 expanded the scope to a ludicrous degree, and AVA 5 was just an all-out spectacle. But every now and then him and his team play more within their bounds and still come up with *really* creative and imaginative representations of the sticks fighting with various things. Videogames, YouTube, now even math itself. A very impressive series in my opinion, especially given how quite old it is.

7 месяцев назад
@loganator3565 +28
@loganator3565

16:12 I just noticed this here! The function gun that TSC made is f(x)=9tan(πx). If you plug in e^iπ or e^-iπ as x, it cancels out to 0! This is beyond clever!

6 месяцев назад
@TheTrueBongoKnight +5471
@TheTrueBongoKnight

What impresses me as a non-mathematician is that all of the mathematicians say every single thing in the video is correct (In terms of the equations and such)

7 месяцев назад
@sidsdabest2416 +353
@sidsdabest2416

That's cos alans team had a math nerd I don't remember who

7 месяцев назад
@quackin12152 +85
@quackin12152

@@sidsdabest2416lead animator?

7 месяцев назад
@paper2222 +266
@paper2222

not really, in 10:50, he actually disagrees* that θr represents the circle, and that it should've been re^iθ *he meant that he's not sure if it's 'mathematically correct', to put in his own words

7 месяцев назад
@TableTurner921 +164
@TableTurner921

@@paper2222 he didn't say it was wrong... just said he didnt know for sure

7 месяцев назад
@rajkayne2516 +13
@rajkayne2516

@@TableTurner921damn u just sent that a few minutes ago i and when I clicked on this comment that was sent 49 seconds ago I didn’t even notice

7 месяцев назад
@lazarussevy2777 +142
@lazarussevy2777

θr is the arc length, so by adjusting θ, Orange can choose what point on the circle to land at. Also, as a math and music nerd, I haven't noticed enough attention to the epic masterpiece of a soundtrack to the animation! Just listen to the tension rising in the music as Orange divides by zero! Awesome!

7 месяцев назад
@mite3959 +3
@mite3959

*TSC

7 месяцев назад
@harnageaa +14
@harnageaa

yeah the music was god tier, made the animation shine. without the music it would not be as special

7 месяцев назад
@AlexFha_29
@AlexFha_29

Orange is not his name, his name is "The Second Coming" but it's "TSC" so ok

2 месяца назад
@NickAndriadze +79
@NickAndriadze

The amount of tiny details and maths Easter Eggs, be it simple or compex maths, present in this 12 minute long animation is genuinely insane and this video made me realize just how much I missed from my initial watch.

5 месяцев назад
@adampatterson2195 +15
@adampatterson2195

I just like how he's smiling the entire time. He's really enjoying this video and I delight in how happy he is.

5 месяцев назад
@paulsmith410 +107
@paulsmith410

I love that moment you start talking about the unit circle right before TSC discovers and starts to play with it. This has so many blink and you miss it moments. The expansions does start at n = 0 but quickly increases each time Euler's monster shoots out a term.

7 месяцев назад
@kurankeikun
@kurankeikun

Yes, had to rewind as well just to make sure and it was there, n=0

6 месяцев назад
@melon_zombie_on_fire
@melon_zombie_on_fire

Yes, n=0 is actually there, it increases for =n for how many times it shoots it. Ex: 2 terms shot= n=2

5 месяцев назад
@spanishchair +19
@spanishchair

I think a misunderstanding I've seen from a lot of mathematicians about the θ r with the circle at 10:45 of this video is they assume that the equation is θr = the circle but later in the animation when they show the θ / r = π I think it shows that the θ and r are properties OF the circle not that they are equal to the circle so I think it's still sort of mathematically correct.

6 месяцев назад
@lainothefirst +4488
@lainothefirst

My favorite part of this animation is when Orange shoots his infinity function gun at the big mech, and the mech uses a Limit on its right hand to turn the infinity blast into an Integral as its main weapon. Like, the final boss having an integral as its weapon hits me particularly hard cause when I was learning them for the first time, it definitely felt like a boss fight

7 месяцев назад
@username-jb2wp +90
@username-jb2wp

his name is second coming

7 месяцев назад
@lailenobtea6415 +81
@lailenobtea6415

@@username-jb2wp you forgot the "the"

7 месяцев назад
@andrewr8461 +128
@andrewr8461

this feels like it should be a troll comment like “my favorite part was when morbius said it was morbin time then morbed all over the place”

7 месяцев назад
@lightning_11 +45
@lightning_11

I agree, all of Calculus felt like a boss fight, but especially integrals!

7 месяцев назад
@sherisehung4594 +13
@sherisehung4594

At what grade do you guys learn integrals? I have already learned somewhat basic differentiation like the chain rule, quotient rule, multiplication, etc and i just started 10th grade last week edit: yall i just learned integration, its a real challenge. i need to cover kinematics by this semester too cuz i have IGCSE on June :') wish me luck

7 месяцев назад
@RED-sl2le +18
@RED-sl2le

This is what I’ve been looking for for so long, genuine first impressions reaction from a professional in the field of the subject in question

7 месяцев назад
@Joshua-jk1om +28
@Joshua-jk1om

Im so impressed in your ability to mentally see these complex math principles in your head and rationalize them. Even the Factorials. That threw me off, even trying to solve for why n=2 was a thing.

7 месяцев назад
@thecomputerguy6335
@thecomputerguy6335

It did start at n = 0, it then sent off two shots at the stickman meaning it went from 0 to 1 to 2 before he paused, it didn't start there but enumerated to there

4 месяца назад
@davidcrs3043 +2
@davidcrs3043

The fact that the way e dealt with the infinity gun is by using a limit and making an integral out of it is such a small but incredible detail

Месяц назад
@Voidbear_FNaF_and_Undertale +43
@Voidbear_FNaF_and_Undertale

I thought I was decent at math but Alan's video showed me otherwise, so I'm watching people who actually understand what's going on's reaction

6 месяцев назад
@phoenixbugg7199 +5
@phoenixbugg7199

Dude I was lost after basic math. 😅 Hope you got further than me. If not we both liked it.

2 месяца назад
@haydencarn8737 +4
@haydencarn8737

He was like "Hello math fans" and I felt very un-addressed.

5 месяцев назад
@WRSomsky +3943
@WRSomsky

Did you notice when stick-man was "talking" to e^i\pi, he pulled out a multiplication and put it between the e and the i\pi, and was leaning over the end of the pi covering it up a bit... it spelled out "exit"... 😁

7 месяцев назад
@arinasultana6437 +281
@arinasultana6437

Genius. TSC is so smart

7 месяцев назад
@jsutbule +40
@jsutbule

exip.

7 месяцев назад
@janmamu8721 +236
@janmamu8721

@@jsutbuleexiτ

7 месяцев назад
@procybit +41
@procybit

@@janmamu8721 exiт

7 месяцев назад
@SackbotNinja03 +41
@SackbotNinja03

Yes, that was the point

7 месяцев назад
@thewierdsquad7584 +10
@thewierdsquad7584

I would absolutely love to see this guy react to more of alan’s animations

7 месяцев назад
@Grakalor +5
@Grakalor

The reaction vids that double the length of the original video are always the greatest

6 месяцев назад
@SquareWaveHeaven +5
@SquareWaveHeaven

17:19 I like how the waves from the "infinity gun" wrap around from positive to negative infinity, shown by them wrapping around vertically!

6 месяцев назад
@melon_zombie_on_fire +4
@melon_zombie_on_fire

I love the way TSC draws the circle "⭕" like this. And also that scene where the Gamma function (all of them) use different ammunitions.

5 месяцев назад
@mickmockedmack +6
@mickmockedmack

11:30 I'm not sure if this has yet to be said, but rθ is by definition the arc length of a circle. It was showing the perimeter of the circle at the same time.

4 месяца назад
@Lorlic1138 +6179
@Lorlic1138

Alan Becker did a commentary on this. According to him, one of his team members is a math guy and pitched this idea to him. He said that he had to just trust that the guy knew the maths because he had no idea what any of these equations meant. Also the white zone is the imaginary plain, thats why it rotates 90 degrees when they enter it. *edit* After much deliberation in the comments, I have decided that the white zone is in fact "the place where the numbers that aren't numbers but we use them anyway."

7 месяцев назад
@Bing6200 +154
@Bing6200

complex plane* Edit: he said imaginary plain and I corrected it into complex plane

7 месяцев назад
@pirilon78 +58
@pirilon78

​@@Bing6200imaginary*....

7 месяцев назад
@Bing6200 +112
@Bing6200

@@pirilon78 there's no such thing as an imaginary plane

7 месяцев назад
@hologrammaster2468 +31
@hologrammaster2468

@@Bing6200 hilarious.

7 месяцев назад
@Bing6200 +18
@Bing6200

@@hologrammaster2468 it wasn't supposed to be funny

7 месяцев назад
@statelyelms +18
@statelyelms

I think the coolest thing about the Animation vs. Math video, aside from recognizing some of the functions etc thanks to the hellish courses (thanks calc. 2, for being required for my diploma..), is that it will DEFINITELY be the definitive starting point for many, many careers into math. It made it seem like a world of infinite complexity and coolness instead of what school shows typically, which is drier. It literally puts animation into the world of mathematics. That's just awesome to think about.

6 месяцев назад
@googon6515 +3
@googon6515

this is my first time to see someone that really happy to share about math

7 месяцев назад
@diamondxmen +2
@diamondxmen

I don’t know if you noticed but at the end there was also the Aleph symbol!

2 месяца назад
@bruhmcbro2704 +2
@bruhmcbro2704

I love seeing someone so clearly passionate about math find joy in this

6 месяцев назад
@keddidastinky +6
@keddidastinky

21:06 the reason why he put the mult. sign there cause it spelled "exit", he wanted to get back to his normal world.

4 месяца назад
@Unconventionalway739 +1518
@Unconventionalway739

He condensed 6000 years of civilization into 15 minutes😂

7 месяцев назад
@jennyfisher3765 +86
@jennyfisher3765

Or 13 years of school

7 месяцев назад
@GoofyAhhBoxy +92
@GoofyAhhBoxy

@@jennyfisher376513 years of pain 😢

7 месяцев назад
@WisidX +26
@WisidX

@@GoofyAhhBoxy Pretty much the best years of your life lol

7 месяцев назад
@komet0199 +51
@komet0199

@@WisidX depends for who

7 месяцев назад
@roeital5504 +5
@roeital5504

​@@jennyfisher3765you mean 12

7 месяцев назад
@iamthemouse4483 +7
@iamthemouse4483

Thanks for making this, and for making your channel. I genuinely feel like I've learned a lot about mathematics thanks to this video.

6 месяцев назад
@gamernik8363 +10
@gamernik8363

I literally loved this video As a 12th grader student and a maths lover, i loved alan becker's video and the explanation behind all the symbols and functions too❤

6 месяцев назад
@thunderbeast6512
@thunderbeast6512

🤓

6 месяцев назад
@averagespidermonkey
@averagespidermonkey

@@thunderbeast6512mad that you don’t perform well in 6th grade math

6 месяцев назад
@abdamit +5
@abdamit

I like to listen to intelligent/educated people talk. I don't understand pretty much any of this, but it seems amazing to me, that there are people out there, that can see these *magical glyphs* and say: "Ah yes, I know that!" seems really mind blowing to me

4 месяца назад
@taekim7175 +3
@taekim7175

At 13:30 the summation shown starts at n=2 because the original n=0 summation "shot out" the n=0 and n=1 terms already.

6 месяцев назад
@spirit5923
@spirit5923

It's amazing to me that people are still finding his channel, i used to watch his stuff ages ago and it feels like he's the only YouTuber left from that era of people i watched

2 месяца назад
@endernightblade1958 +2298
@endernightblade1958

one thing that’s very easy to miss: 24:11 in the background, alongside zeta, phi, and delta, there is Aleph. hard to see, but it’s there! (tip: it’s huge)

7 месяцев назад
@yyattt +132
@yyattt

Ah thanks! I saw it but couldn't make out the shape.

7 месяцев назад
@KunalKumar-pc4vg +127
@KunalKumar-pc4vg

I thought it was pretty easy to see. Seems like it wasn't to everyone

7 месяцев назад
@kidredglow2060 +62
@kidredglow2060

yea i noticed it, sad that he didnt notice it though

7 месяцев назад
@clearyhorizon +12
@clearyhorizon

It is Aleph number

7 месяцев назад
@yyattt +78
@yyattt

@@KunalKumar-pc4vg I guess it depends on what you're watching on. I normally watch on a tv and there the boundary of the aleph is invisible. I could only see it because of the texture inside it. When I rewatched on my phone its clear.

7 месяцев назад
@samuelofosu2051 +6
@samuelofosu2051

At the 11:36 minute.... I think the formula there is on circular motion in Physics where you calculate the duration in meter(s)

6 месяцев назад
@The_dragon_Wolf +4
@The_dragon_Wolf

13:20 thats because when you paused it, it had already fired off TWO shots, so thats why n=2 at the time you paused it

6 месяцев назад
@OskarCzechowicz-OmniMusician +5
@OskarCzechowicz-OmniMusician

7:30 love how the lil guy was hit with a minus sign and all it just reversed him

6 месяцев назад
@akwyld2545 +1
@akwyld2545

in the animation vs maths video descriptions, Alan says that one of his animators is a maths enthusiast and really helped in this

7 месяцев назад
@zcustard
@zcustard

Glad you reviewed this, I wouldn't have stood a chance without you. It started to just look like random symbols near the end. I'm amazed you could spot the concepts in fractions of a second.

4 месяца назад
@Nitram4392 +1300
@Nitram4392

I used this video as an example to explain to why in fantasy settings with learnable magic (D&D for example) not all people are wizards. Technically everyone can use math, you don't have to be born with it, but most people would do not be able to do it fast and accurate enought to fight with it.

7 месяцев назад
@nevi5158 +52
@nevi5158

That's so cool

7 месяцев назад
@pepsy3085 +29
@pepsy3085

makes sense

7 месяцев назад
@somerandomdude7815 +74
@somerandomdude7815

yea, most people can dabble in it (like the magic initiate feat) but not a lot a people can make it their job

7 месяцев назад
@typhoonzebra
@typhoonzebra

Another reason is that maths is usually taught to anyone willing to listen. It has no practical or ethical considerations when choosing to take a student. Wizardry is like if maths was a weapon. People would be very cautious when choosing apprentices.

7 месяцев назад
@britishneko3906 +2
@britishneko3906

nukes

7 месяцев назад
@lewisonhowerconnery259 +2
@lewisonhowerconnery259

I love how you don't pause every other second, instead you talk over it for simple thoughts and pause it when it matters

7 месяцев назад
@nification7883 +32
@nification7883

As a more tactile, "throw stuff at wall type," this kind of thing I think would have helped me to "feel" maths more, and thus could have sparked an interest if I had been exposed to it when younger. Even now just watching this quick video I can feel neurons trying to make connections, unfortunately a lack of prerequisite knowledge is limiting what I could get form this but, such is life.

6 месяцев назад
@erikpasquale9902 +4
@erikpasquale9902

looks like someone majored in english

6 месяцев назад
@CommentPositionInformer +3
@CommentPositionInformer

​@@erikpasquale9902 Wut?

2 месяца назад
@raiisleep +1
@raiisleep

@@CommentPositionInformer I'm assuming it's because they used the word prerequisite.

2 месяца назад
@isuapig6705 +1
@isuapig6705

I love this guy! I understand literally everything and none of what he’s saying at the exact same time

6 месяцев назад
@brickleyyard4966 +5
@brickleyyard4966

I learned more from this video than any teacher at school could ever have done

7 месяцев назад
@circuitgamer7759 +2
@circuitgamer7759

Just in case you haven't seen it yet, he recently released Animation vs. Physics, which is also quite fun :)

2 месяца назад
@niello5944 +251
@niello5944

10:50 The θr here is supposed to represent the arc length, not necessarily the whole circle.

7 месяцев назад
@nanamacapagal8342 +6
@nanamacapagal8342

THAT'S WHAT IT WAS??

7 месяцев назад
@RadeticDaniel +6
@RadeticDaniel

Also circle points in polar coordinates, the line integral expression for the circumference and the base f(r, theta) for circle area in polars.

7 месяцев назад
@LKC9215 +2
@LKC9215

@@nanamacapagal8342 yeah, s = rθ

7 месяцев назад
@melon_zombie_on_fire +1
@melon_zombie_on_fire

​@@LKC9215∅ø how to write?

5 месяцев назад
@LKC9215
@LKC9215

@@melon_zombie_on_fire just google "theta"

5 месяцев назад
@bass2564 +1
@bass2564

13:03 This one happens so fast you don't even have to blink to miss it, but the (initially complete, with n=0) Taylor expansion fires its first two terms away as projectiles, which explains why it is showing n=2 at the paused frame.

2 месяца назад
@bass2564
@bass2564

Oh, watched a couple of seconds ahead. Of course you immediately got it 🙂

2 месяца назад
@johnswolter +2
@johnswolter

You've started a visualizing math and arithmetic adventure. It could easily go back in time to counting boards and forward to explain today's and the future's unanswered questions. All visually presented to be quickly reflected upon, understood, and made of use by the youngest or oldest interested. I wish you a long and productive career. -- JSW

5 месяцев назад
@theLucidLibrary +1
@theLucidLibrary

" *Pause* Has he just made a function gun?" Got me so good XD

5 месяцев назад
@AlbedoisAll +1
@AlbedoisAll

I barely understood the math you explained but I loved seeing your gleeful reactions and it made the rewatch of AvM so much better! 😂

6 месяцев назад
@Eukleides89 +2
@Eukleides89

The cheeky infinities adding dimension was VERY cool. Sneaky linear stuff in there (that class, which also had differential equations, kicked my ass too hard not to remember it).

6 месяцев назад
@rikschaaf +596
@rikschaaf

It's interesting that the video explained math without the x variable from algebra. The only variable used was theta, to be able to find pi and describe circle angles.

7 месяцев назад
@TheSourovAqib +56
@TheSourovAqib

Also r for the circle and n for series

7 месяцев назад
@roeital5504 +22
@roeital5504

​@@TheSourovAqibunlike r, x is used for any value, r is only for radius

7 месяцев назад
@aquaregia5948 +4
@aquaregia5948

Well yeah, but you won't be able to use any of it unless you use actually math variables like x,y , a ,b ( not sure if that's what you're trying to say but oh well)😊

7 месяцев назад
@zachrodan7543 +13
@zachrodan7543

@@aquaregia5948 the thing about variables is that they are completely arbitrary. arguably, the only reason why we use x instead of 🙂 is because emoji didn't exist yet when variables were first introduced.

7 месяцев назад
@aquaregia5948 +6
@aquaregia5948

@@zachrodan7543 No because x is easier to draw that, no way in hell am I drawing an emoji

7 месяцев назад
@coolguy5133 +1
@coolguy5133

I guess you could say that you could go on a *tangent* on how awesome the video was.

6 месяцев назад
@martiddy
@martiddy

Aleph symbol at the end represented as a giant made of the fabric of reality was genius!

2 месяца назад
@zessonateacloud
@zessonateacloud

I don't understand even half of what he says but it's nice to see him having fun with the video😂

14 часов назад
@Resetium
@Resetium

The little detail of Aleph walking off in the background at the end is very neat.

2 месяца назад
@gamedevlooper411 +2
@gamedevlooper411

At 10:36 , (theta x r) is the arc length formula, which can be the circumference of the circle when theta = 2π But at 10:38 he turns the circle into a unit circle, hence r = 1 Later, we can se he turns the equation into theta / r , which is just equal to theta as value of r = 1. Thus when the line rotates by 180° the value of equation is π/1 = π The digram was maybe a bit off but the values were technically correct

4 месяца назад
@aguyontheinternet8436 +340
@aguyontheinternet8436

10:42 that isn't representing the circle. It's just taking the radius of the circle and multiplying by the angle of the line. It is strange, but it seems to be a useful way to play with properties of the circle and it's angles at the same time. You set r to 1 and you can see the angle, you set theta to 0 and just see what happens when you vary the size of the circle.

7 месяцев назад
@nmr975 +64
@nmr975

I think this is supposed to be a representation of the circumference of a (partial) circle. This means that theta is to be understood in radian.

7 месяцев назад
@mr.bacteria7148 +11
@mr.bacteria7148

As niklasreich3959 said , (θ/2π = Partial Circumference/2πr)—> (Partial Circmference = θr)

7 месяцев назад
@mikeschieffer2644 +25
@mikeschieffer2644

s = r*theta where s = arc length, r = radius of a circle, and theta is the central angle measured in radians.

7 месяцев назад
@frimi8593 +1
@frimi8593

I figured fit was meant to be polar coordinates, but in the wrong order for some reason

7 месяцев назад
@ppremnaikk +9
@ppremnaikk

It is using the l/r = theta property for an arc of a circle. You can see how if he puts different values for rtheta, different arcs form around the circle, rtheta is not representing the circle but if we give it a value, it represents an arc around the circle

7 месяцев назад
@mds_main +2
@mds_main

Alan Becker (the man behind this animation) is a very talented creator. He created a fantastic series based on his stick figures fighting stuff and there is this whole interconnected lore. This math video also is part of that lore, I'm pretty sure this math world is where Second Coming's (aka the orange stick figure) consciousness is being kept after the last "Animation VS Animator" video and that is why there is math everywhere and why he is trying to escape.

6 месяцев назад
@Santiago160
@Santiago160

Dude youre such a math nerd and i love it... I havent touch anything math related for years and it was really interesting seeing someone who knows ton more than me to explain the later parts of the video

2 месяца назад
@abhay45452
@abhay45452

Every time they hit with minus direction changes It's crazy detailing 😳👏👏

3 месяца назад
@caster863 +1
@caster863

Alan is just showing off his math and animation skills

3 месяца назад
@ChocoCookieXI +10
@ChocoCookieXI

12:35 a split second of n=0 but it fired 2 things and went to n=2

6 месяцев назад
@erauirusu5658 +1
@erauirusu5658

I notice that 2

6 месяцев назад
@wannacry6586
@wannacry6586

The things it fires are the result of the series at the respective n

5 месяцев назад
@tobenamed610 +145
@tobenamed610

Love his determination to not see how e uses i to turn itself into an imaginary number and go to an imaginary dimension, and all the cool tricks they did with that concept

7 месяцев назад
@lettucep1ay +9
@lettucep1ay

also love the determination to ignore all the instances of TSC and e getting negatived

7 месяцев назад
@tobenamed610
@tobenamed610

@@lettucep1ay FR, this man has determination like no other

7 месяцев назад
@NoriMori1992
@NoriMori1992

Where? Looked like he figured it out just fine to me.

5 месяцев назад
@simhadrig1552 +1
@simhadrig1552

And the function gun shoots out graph of tan(x)

4 месяца назад
@onnaest3542 +2
@onnaest3542

What are yall so pressed about it for😭

2 месяца назад
@jehmarxx +1
@jehmarxx

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.

7 месяцев назад
@richardpike8748 +1
@richardpike8748

really enjoyed your relatively thorough commentary/explanations! lovely

7 месяцев назад
@yamahoestella3118
@yamahoestella3118

Thing to note at the sword fith at the 8 minute mark: "1" swords are equal strength. One of them switches to a "4" sword, breaks the "1" and turns into a "3" sword. Then minus 1, and minus 1 again until its a 1 sword again. Then orange switches to 2 1 swords, throws the enemy away and then combines those two "1" swords into a "2" bow. The symbols for the bow he uses is 2x2=, and the bow shoots out 4s.

4 месяца назад
@ilankaboom7009 +1
@ilankaboom7009

- 10:50 theta * r = arc length, which is what Orange figured out at about 9:55 - 16:29 note the function gun (which was 9tan(pi)) now shoots little graphs of the 9tan(theta) function, where theta=pi so he is shooting zero which annihilates anything it touches. - I think the phi at the end is supposed to represent Euler's totient function

6 месяцев назад
@Mr1Senk +2
@Mr1Senk

My man Alan just ussually upload Animation vs Physics

2 месяца назад
@tyronorxy5646 +18
@tyronorxy5646

After Orange has befriended e^iπ, he tried explaining to e^iπ that he wanted to know how to leave "Mathland". Orange tried to draw a door, but e^iπ didn't understand, so Orange spelled "exit" by putting the multiplication sign into e^iπ spelling: exiπ . The complicated math at the end was e^iπ helping Orange leave, as Orange can't jump between dimensions just by multiplying himself by i.

7 месяцев назад
@taylorgarrett793
@taylorgarrett793

reason why this is so well done is cause alan beckers editior ( i think ) is a massiave maths nerd so he was the one that made sure it was all done correctally

3 месяца назад
@frostthegrey +13
@frostthegrey

this guy has to be the coolest professor in the world and you cannot change my mind

7 месяцев назад
@Kalanioccc
@Kalanioccc

my 4 year old son and i watched that animation for the first time last night. more of a science guy but i thought it was really fun and well done. i enjoyed your take on it as well!

2 месяца назад
@The21stGamer +1
@The21stGamer

The amount of thematic interpretations the video can have is honestly incredible, especially ironic given it's meant to be cold, absolute calculations and yet can be analysed like any other text.

5 месяцев назад
@leonardorolingstella8554
@leonardorolingstella8554

Thanks to this explanation I just realized a hidden pun: e^i π gets more powerful when it switches to its _power series_

Месяц назад
@gravitysalad7891 +267
@gravitysalad7891

Animation vs math makes me so happy, I loved stick animation videos as a kid and I'm willing to bet there are going to be a lot of kids today that were bored taking algebra or geometry that now might want to learn more about mathematics just to understand what's going on in the video. It's a great way to spark interest in math. Also I love how the progression of the video starts at simple arithmetic and builds up through algebra, geometry, trig, calculus and a small peak into the further beyond at the end. Even the sound design is amazing!

7 месяцев назад
@SupYB +1
@SupYB

indeed but alan becker is most well-known for his animation vs minecraft videos i just wanna say that if i may pls

6 месяцев назад
@painlesskun3959
@painlesskun3959

​@@SupYBand animation vs animator series (cant forget that)

5 месяцев назад
@philippvonwallenberg9249 +1
@philippvonwallenberg9249

Studied Eletrical Engineering and then worked at the isntitute of theoretical electrotechnics. It brought back some memories of wonderful years diving deep into maxwells equations, where the above math had a big role. To me, playing around with this stuff was always as wonderful as getting locked up accidentially at "Toys-R-Us" over the weekend. Fantastic time, but the place looks like crap afterwards. Thank you for the commentary, it definitely made my day...

7 месяцев назад
@jagoda3797 +3
@jagoda3797

I need this guy as my maths teacher

4 месяца назад
@HappyfoxBiz
@HappyfoxBiz

Alan Becker, last I heard of that name was Animator vs Animation, man this video reminded me of him until of course you said this was done by him, glad they are still animating fun things for fun

6 месяцев назад
@matthewbertrand4139 +1
@matthewbertrand4139

i've been giving it a lot of thought, and i'm relatively certain that θr isn't supposed to be an equation for the circle, but for the arc length intercepted by the angle θ. at the time he's doing it, r = 1, and radians are dimensionless, so it scans mathematically

2 месяца назад
@irokosalei5133 +1
@irokosalei5133

Euler's identity escaping is a metaphor for the moment of illumination that fades away but triggers interest and insight

4 месяца назад
@TheScorpion0081 +192
@TheScorpion0081

Something interesting Alan's team did was the hammers. The Second Coming (orange stick figure) split pi into 2 hammers and there was some confusion about that. To be fair, looking at it strickly like that, it doesn't make sense. But looking at how he created those waves, it makes more sense to look at the broken halves of pi as the letter "T" instead. So, as given, it would be "COS over T(ime)" and "SIN over T(ime)."

7 месяцев назад
@jonouyang +13
@jonouyang

i thought it was tau, given its ties to pi already

7 месяцев назад
@Bing6200 +2
@Bing6200

@@jonouyangsame i thought it was tou

7 месяцев назад
@aquaregia5948 +3
@aquaregia5948

I think it being tau makes more sense but also less of sense, it's kinda weird, because whereas it would connect tau and pi, the two heated sides of the tau vs pi debate, but it also makes it look like tau=pi/2, which simply isn't true.

7 месяцев назад
@Bing6200 +1
@Bing6200

@@aquaregia5948 tau + pi + pau

7 месяцев назад
@NeoTher_ +11
@NeoTher_

To me he was just splitting the pi symbol in two lmao

7 месяцев назад
@user-ve2mq1qq1t +2
@user-ve2mq1qq1t

10:35 i think the video is just displaying the length of an arc where theta is in radians. you briefly see the disantce of the arc being measured when the stickman plays with the theta. the circle was just the backdrop of that concept

7 месяцев назад
@rudrashismukherjee629 +1
@rudrashismukherjee629

11:32 I think that since arc length is = radius x angle(rads) Therefore he has established relation between circumference and the subtending angle at the centre

7 месяцев назад
@not-so-obvious_autism777
@not-so-obvious_autism777

I blanked out whenever Tom explained the maths, I just couldn’t wait to see his face when Numberzilla comes in

2 месяца назад
@orfeassiozos1575 +1
@orfeassiozos1575

There so many subtle things that are so easy to miss! Like when they're swordfighting with swords made out of 1 and -1, when the swords hit a flash of 0 shows up, or whatever number the swords add up to. Or how the function gun was created out of the tan function, which is why it shoots little tan lines and when it hits e^iπ it "kills" it to 0. Also the function gun set to infinity doesn't work on the transformer's integration staff since integration can "handle" infinity! Such a genius video.

7 месяцев назад
@maukun3406
@maukun3406

Thanks to the once who suggested the "animation vs math" to this youtuber❤ i needed this video 🤝

6 месяцев назад
@warriorsabe1792 +108
@warriorsabe1792

At the very end, iirc I saw something about that final formula being for a 2n-dimensional hypersphere, so it started as a point at 0d, then a circle at 2d, and added dimensions until it had infinite dimensions, then was turned to -1 to send him home like a portal of some kind. Also, did you catch the enormous aleph made of the complex plane at the end?

7 месяцев назад
@StopLookingHere_LookAtMyVideos
@StopLookingHere_LookAtMyVideos

It is a symbol

7 месяцев назад
@sundown456brick
@sundown456brick

I think it would be really cool if you watched one of the videos commenting about what appears in the animation, there were a lot of details you didnt catch (they are quite hard to see at first)but really really worth it.

7 месяцев назад
@DragonWitcher-ho1cg
@DragonWitcher-ho1cg

"One does equal one, *solid* " This is ✨ golden ✨

6 месяцев назад

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