New discoveries as a collective effort from folks in the comment. Updated June 29th 13:00 PM. 1. 14:47 phi is clearly the golden ratio. As many people pointed out that its step size decreases when it approaches. I also noticed that delta shakes while moving, indicate the infinitely small difference it often represents. Zeta jumps with a constant step size, which is a clear reference to the Riemann zeta function. 2. Another small mistake I found, if you pause at 8:34, you will see that the term with 9! is already shot, then at 8:35, the running index still starts at 9. Only after firing the 10! term, the running index becomes 10, which is not what summation index is usually used. 3. I made a mistake at 14:23, e^pi is not the volume of all high dimensional unit spheres, but the volume of all even-dimension high dimensional unit spheres. Zach star has a video on this: kzitem.info/news/bejne/zo6ml4qdf4mTfpg 4, At 14:36, the running index starts at infinity. The concept of adding volume of spheres from higher of higher infinity is shown in earlier a few seconds but technically at 14:36 the equation no longer holds. In case you want to derive this on your own, be careful. 5. At 9:55, yes TSC has another secret ally that stole the "-" sign at the very left. --- A note on the primary math concepts' discoveries. It is hard to find the exact dates and civilizations of those discoveries. I did my best to do the research. Some people pointed out different opinions. Thank you for sharing, which made the picture more complete. Again, thank you all. It means a LOT for a new channel like this one.
@NewsPot465
Жыл бұрын
I ain’t readin allat
@vunderbar9
Жыл бұрын
@@NewsPot465you don’t have to dude
@chenweizhi8609
Жыл бұрын
One of the best, if not the best explanation on this animation. Great work!
@this_is_naig
Жыл бұрын
Man I learn these things more than I do in school, great explanation
@haipingcao2212_.
Жыл бұрын
☢️ 14:52 ☢️
@RedAce-RTI
Жыл бұрын
oh boy, cant wait to be able to understand this all this year, the engineering degree calls for it
@AstraOG
Жыл бұрын
as another engineering major, saaaame
@Cyber_N-7660
Жыл бұрын
Good luck you two o7
@AndyIsLazy18
Жыл бұрын
Goodluck to the engineers out there ❤
@JustSomeGuyWithAMug
Жыл бұрын
It's a joy to finally understand this videos yet it's a pain to get a 2/10 in the test
@floss-tg
Жыл бұрын
as someone who spent way too long pouring over math for my engineering degree, i wish you well, good luck, and godspeed
@niko5008
Жыл бұрын
As a pretty amateur programmer I'm liking the idea of making a game like this. Imagine how funny it would be to tell your friend "okay so, stand on top of this number" and then divide it by zero and launch his character to the void out zone and kill him lol
@monnamonsta
Жыл бұрын
wait this is brilliantly funny
@StuffandThings_
Жыл бұрын
It would quite literally be a "game of numbers"
@franciscotovar7536
Жыл бұрын
I would play!
@galaxi6585
Жыл бұрын
still can't believe TSC discovered the irrational number thing with sqrt(2) at the start and didn't use it to launch anything into the stratosphere
@raul-aurelianserban8295
Жыл бұрын
DO IT
@LeBeaBae
Жыл бұрын
IS NO ONE GOING TO APPRECIATE THE SOUND DESIGN?! The music feels EXACTLY like how i felt when discovering these concepts while tinkering with math!
@lukasdeen6226
Жыл бұрын
the team does, look up the original description
@LeBeaBae
Жыл бұрын
@@lukasdeen6226 I mean no shit lmao, but is there a single comment about it?
@iota-09
Жыл бұрын
The sound design is top notch, absolutely perfect stuff, every single action and frame is worthy of being one of those "satisfying clip moments" you see on Instagram tiktok etc, not a single misstep, kudos to the sound design team.
@geniuz4093
Жыл бұрын
well obviously because its related with "technical/mechanical" activities. which are in turn related with "complex". and math for you is related with "complex". not that mind blowing. i can tell you think 2x + 1 = 6 is hard and complex as well.
@LeBeaBae
Жыл бұрын
@@geniuz4093 A) I'm an engineer and a software developer, I've made fully functioning AI robots from scratch. B) I played with imaginary numbers and summation and derivatives and intervals when I was 10, figuring them out within 2 weeks (That was the "tinkering" I was talking about, C) I'm going into 10th grade and I've completed 2 honors sciences out of 4 (one of which is almost impossible for freshmen to take) and am starting an AP science class, plus I'm going into pre-calc honors. So yeah, x = 2.5 isn't complex to me. Try again, "geniuz".
@RlOltRe
Жыл бұрын
"Is it possible to learn that much information in only 15 minutes?" Python: *yes.*
@mfirdanhb
Жыл бұрын
learn? yes, solving it? the angels can only pray for that
@ChickenMcKicken
Жыл бұрын
as a 7th grader, i really stopped understanding everything after the first circle appeared
@FreeOrange
Жыл бұрын
@@ChickenMcKicken💀
@stxllr4687
Жыл бұрын
@@ChickenMcKicken how did you manage to learn complex numbers before trig??
@Shifty_fl
Жыл бұрын
BRO I AM A 7TH GRADE AND SAME HAPPENED TO ME@@ChickenMcKicken
@C_Corpze
Жыл бұрын
The animation is absolutely genius. I wonder how much research and math they had to do to make it accurate.
@yeetgamer1765
Жыл бұрын
One of Alan's animators is good with math so it didn't take very much research.
@octhevossavelios
Жыл бұрын
@@yeetgamer1765 how'd y know?
@whonoonenobodynothing3467
Жыл бұрын
@@octhevossavelios the lead animator was the math guy, it says that in the pinned comment of the video so it took long but not ages
@Akiora777
Жыл бұрын
@@octhevossaveliosits the pinned comment in the original vid
@ptrkmr
Жыл бұрын
Yeah like the other guys said a lot of this stuff is “common knowledge” after getting a STEM degree for the more math heavy areas. I’ve never seen all of it down to the basics so eloquently summarized tho, this is amazing. The research likely took the least amount of time. It’s trying to figure out how to connect it all that’s the impressive (and likely most challenging aside from the animation) part
@korben600
Жыл бұрын
Wanted to chip in with some stuff I noticed. - This is mentioned in another video, but TSC and little monster are both real numbers. That’s why they can interact with the world, why TSC can multiply his speed and change location, same with LM. But more importantly, they’re both real numbers *on the x axis.* They’re not just stick figures, they’re technically the coordinates with the locations (TSC, 0) and (LM, 0), because those are the only types of coordinates that are real in a complex plane. That’s also why when they want to go upwards, they add multiples of i to themselves, but don’t go into a different plane until they multiply themselves by i. Since as real numbers they can add i values and remain in the complex plane, IE change their coordinates to (TSC, 5i) and (LM, i). - When they’re moving, their coordinates (TSC, 0) and (LM,0) are changing, with LM and TSC increasing at a certain rate, the speed they travel (since this is physically what speed is, the rate at which a coordinate changes). So when TSC wants to increase his speed he multiplies himself, making the rate at which he changes faster (or making the initial value being multiplied higher, tho I suspect it’s the former because of the negative trick I, about to get into). - Speaking of, the negative number trick is actually consistent despite being used in two ways. In the chase scene, since LM’s coordinate is changing at a specific rate (its speed)TSC uses a negative to change LM’s velocity. Changing a velocity of a given point to a negative turns the point in the opposite direction (something that shows up again later). However, at another point in the vid, TSC uses a negative to get to the other side of a circle. Inconsistent, right? Wrong. The reason the second negative teleports TSC is because he’s both not moving, and on a *coordinate plane.* His defining characteristic on a static coordinate plane is his position, *not* his velocity. So rather than making his velocity negative, he made his *position* negative. So rather than reverse speed, he teleports to the other side of the circle, since that’s what making a position negative does. To simplify, first time he turned the equation LMm = x into LM(-m) = x, but the second he turned the position (TSC, 0) into (-TSC, 0). - And for my main point: The “blackworld” they were in was *consistently* a complex dimension (minus maybe the parametric bits), that’s why every time he wanted to move upwards, both LM and TSC had to use a multiple of i. Since that changed their positions from, say (TSC, 0) to something like (TSC, 5i), which was represented physically by height in blackworld. But the blackworld is only imaginary on *one* axis, the y axis. But the “other” dimension had *two* imaginary axes, with the x also being imaginary. Now, TSC and LM, as established earlier, are real numbers, but getting into the “other” dimension requires changing the x axis of a point to *also* be a multiple of i, which is why little monster and TSC had to *multiply* themselves by i to get there, otherwise they’re still just real numbers. - The other dimension had square roots of negative numbers throughout it because it’s the *imaginary plane.* Thus numbers that are only represented by i in the blackworld are represented as their “actual” values in the other dimension, IE as square roots of negative numbers. Also the *reason* square roots were spilling out of the cracks because TSC’s cannon was “cracking” the x axis of the imaginary plane…which was as mentioned earlier made up of imaginary numbers (ie square roots of negative numbers). - Also, TSC wanted to get into the imaginary plane because it was another dimension, and he wanted to return to his home dimension. LM had to clarify that multiplying himself by i multiple times would just send TSC back to blackworld, since TSC = real number, i x TSC = imaginary, and i x i x TSC = -TSC = a real number. Hence why he needed a more complicated equation to actually access other dimensions. - Note also, when LM is demonstrating why just multiplying by i won’t access higher dimensions, he, changes positions. Specifically, he’s flipping around the Y axis. Why? Because i x i x LM = -1 x LM. Since LM’s actual value, e^(i(pi)) = -1, is -1, and he’s flipping his value from (LM, 0) to (-LM, 0), he’s going from position (-1, 0) to (1, 0). He’s doing what TSC did earlier with the negative, only in this case he takes a detour to the other dimension first before teleporting to his new position.
@1Life4Passion
Жыл бұрын
How'd you know are you a math major?
@korben600
Жыл бұрын
@@1Life4Passion I'm a math minor actually! But for all of these things I pointed out, that was more just paying very close attention to the video. Additionally, a lot of the conclusions I bring up is logical progressions of some of the other things I and everyone else have brought up. IE if they're already on a complex plane, why are they transported to another plane when they touch an i? Well, it's because *they* weren't complex numbers until they touched an i. Not exactly simple conclusions, (and maybe not interesting enough to get pinned), but they definitely didn't require my math minor to do!
@HappyFunJay
Жыл бұрын
@korben600 Underrated comment.
@livelittle411
6 ай бұрын
Thats like the best and funniest way of explaining imaginary numbers !!!! Hats off
@damri_notfound
2 ай бұрын
incredible work on this comment, but i don't get the part where tsc is a real number. is it an infinity number, or is it an imaginary number, or something?
@joda7697
Жыл бұрын
12:48 i think that's the branch cuts actually. Sqrt(-5) for example has multiple solutions, and just as those are called branch cuts, there is a rift in the world, cracking it apart.
@ron与数学
Жыл бұрын
This is a good point. I thought about this possibility. When I paused at 12:55, I felt like Alan Becker is going for the aesthetic side of this visualization. Can't imagine branch cuts that looks like that, hence my "guess". Thanks for the point!
@SeriouslySamuelyearsago
Жыл бұрын
I thought it was more like the ‘complex world’ was breaking due to TSC’s laser. When the other ones fired, even for a split second, it left a scar on the ground. Maybe the extended blast was enough to affect the ‘complex world’.
@joda7697
Жыл бұрын
@@SeriouslySamuelyearsago that's a possibility as well
@JwalinBhatt
Жыл бұрын
Yes that was my first thought as well, definitely branch cuts.
@gaturno4377
Жыл бұрын
i think its by the fact that they are in the imaginary numbers world and TSC is real so where he goes it breaks, and when he comes back it fixes
@critixil
Жыл бұрын
I cant stop rewatching this video cause i wouldnt stop until i found an explanation for everything and you have done that. Btw the dimension part near the end is a reference to the imaginary dimension i think Edit: TSC is a real number because the imaginary dimension collapses if you add a real number to any imaginary equation and the imaginary dimension is a dimension of equations made of imaginary numbers Edit 2: TSC is confused when dividing by zero as somehow 6/0 doesnt equal to 6/0 with the other division sign
@OKKirby
Жыл бұрын
yep at 12:53 i can see many negative square roots
@DavidLopez-gs1fb
Жыл бұрын
What is TSC?
@critixil
Жыл бұрын
TSC is the second coming, aka the orange guy
@JayronWhitehaus
Жыл бұрын
@@critixil I still don't understand! Jesus? Trump? The little stick man in this video? I feel dumb I'm so sorry.
@KipBlade
Жыл бұрын
@JayronWhitehaus the little man in the video he's part of a series animation vs animator and there was like 2 other stick figures before him
@SunnyKimDev
Жыл бұрын
13:52 eipi is demonstrating that his "doors" would not help TSC escape, as going through it 4 times would result in the original position (i^4=1)
@brrrrrr
Жыл бұрын
Isn't eipi supposed to be Euler's number?
@brrrkic
Жыл бұрын
@@brrrrrreipi
@iexplainjokesforaliving.5415
Жыл бұрын
@@brrrrrr eipi
@CharlesUrban
Жыл бұрын
@@brrrrrrNot really an expert, but if I remember my math classes from when I was in school (the Bronze Age), Euler's Number is just e. e^iπ is Euler's Identity.
@Airifying
Жыл бұрын
This genuinely deserves alot of attention, You focused on every single bit of detail here and gave a very well splendid explanation, Sure im dumb af, But watching this was very entertaining and made me learn a few things. My hats off to you brother.
@Blackholing
Жыл бұрын
As a math and physics student, I was so impressed and excited. I've always loved interpreting math concepts in a creative way, the idea of merging math and "art" is smart, it helps to better visualize concepts (and understand their usefulness) Shout out to the 2x2 bow, the design is so cool !
@vincanlas8796
Жыл бұрын
2×2?
@Blackholing
Жыл бұрын
@@vincanlas8796 yeah the bow in the video, it's made of 2×2 and it shoots "4" arrows
@irrelevant_noob
Жыл бұрын
@@vincanlas8796 5:23 ... and it appears later at 8:15 too.
@Baburun-Sama
Жыл бұрын
...And the =f(•) Gun?
@Blackholing
Жыл бұрын
@@Baburun-Sama it's cool too ! but my fav one is definitely the 2×2 bow !
@G_N_8
Жыл бұрын
I'm surprised this only has 1.2k views right now, beautiful art, this is something I always wanted, a sort of show which displays math so I could avoid learning it and kinda take it all in as a form of a show
@astronomist29
Жыл бұрын
it's not this guys video, the original video is under alan beckers channel
@Sammy_Scratch
Жыл бұрын
Check the original
@G_N_8
Жыл бұрын
@@astronomist29 yea my bad i forgot to delete this comment after I went to the original in the desc, beautifully made and ig this guy showed the history behind it and stuff, nevertheless good
@Cyan_Scug
Жыл бұрын
YOU DON'T SAY ITS 300K+
@mofi_lki
11 ай бұрын
@@Cyan_Scug now 1m
@mrtoast244
Жыл бұрын
I can't believe that these characters, who don't speak, have better character development and a more satisfying arc in 10 minutes than some some characters from big budget studios are able to have in entire seasons (looking at you "Rings of Power"). What's brilliant about this video is how it's sort of a pseudo history of math, but done in the most creative way possible. Alan Becker is an actual mad man for making millions of people in love with characters who are literal numbers and letters, it's like Alphabet lore all over again.
@the_mariocrafter
Жыл бұрын
but without the cringe kids
@lawbreakerlawrence
Жыл бұрын
you cannot compare this to fucking alphabet lore bud 💀
@mrtoast244
Жыл бұрын
@@lawbreakerlawrence letters are canon to the math verse
@Sh1penfire
Жыл бұрын
3:12 Since the / sign is more commonly used in programming I'mthink that bit's a reference to how division by zero won't compile into usable code and for TSC doesn't have an output, not that there is no answer ;) Amazing video, love watching this type of breakdown!
@niko5008
Жыл бұрын
I dunno some of them throw an integer limit, others "infinity" and others just hang the program
@jukit3906
Жыл бұрын
@@niko5008 No, most of the languages have /0 as NaN /0 itself is undefined Only lim x->0+ (1/x) is positive infinity
@eduardonavarro4172
Жыл бұрын
Exactly, not many non math people know that the value of the limit and /0 are different.
@Zicrus
Жыл бұрын
12:36 Notice the 90 degree rotation
@ron与数学
Жыл бұрын
Great eyes! I didn't figure out why it rotated so I thought it is a pure visual choice.
@proxxylord6
Жыл бұрын
This came out just in time I have been helping some relatives with summer tutoring in math and the kid is brilliant but unmotivated, I showed him this video and his response was absolutely golden: "WHY DID NOBODY TELL ME THAT MATH COULD BE THAT COOL!!"
@yoshi_chuck05
Жыл бұрын
I love how Alan was able to make an entertaining video while also teaching us math! He’s a legend!
@qhelios
Жыл бұрын
Honestly, dude, you did a very good job explaining this. Props to Alan Becker and his team for making this masterpiece. I'm currently looking forward to becoming a programmer. Best of luck on everyone's dream. o7
@ron与数学
Жыл бұрын
Thanks! My channel is actually a programming channel. This video is a side project. Hope I can create something useful for you in the future.
@qhelios
Жыл бұрын
@@ron与数学 What a coincidence! I sure am looking forward to learn from you. Oops, edit here: I'm doing JavaScript lol, but it's fine. I'll probably learn a little or 2 from you still. I might even change to Python.
@TheDutchFoxx
Жыл бұрын
As someone who really struggled with math this video is just as great as the original with explanation of how things work in a basic sense. Also infinity is scary AF, constantly reappearing
@G0of_Ball
Жыл бұрын
11:14 “WAAAAAH” Edit: Alan Becker did the animation but not just thank him, than one of the people working for him who is a complete math wiz B)
@_redniel_
Жыл бұрын
"WAAAHHHH!!! 😭😭😭😭" e^iπ
@solidturtle6910
Жыл бұрын
Alan paid someone to voice that
@hyperpsych6483
Жыл бұрын
11:05 The summation absorbing the power of the limit to become a deadly integral was legendary
@hongkonger885
Жыл бұрын
9:40 damn, the allies are so cute
@stardreamix786
11 ай бұрын
So amazing, love that math bow of 2x2, shooting number 4 arrows!!!!
@nokiaairtel5311
Жыл бұрын
You are the one who caught the minute details(like using x to gain speed, the bow made of 2x2 shooting 4), that every other channels missed. Thank you for that.
@rai_rye.
Жыл бұрын
Finally, math becomes fun for once, now i can learn even better
@phonicalnotion248
Жыл бұрын
I have learned more about the foundational uses of mathematics here than I EVER DID in school. I have been studying this second by second since I first saw it, and my understanding of math has only gotten stronger from this. Thanks for making this video. I already loved mathematics as a whole, but this just gave me an even greater appreciation of it.
@memebruh2024
Жыл бұрын
This is really more detailed than other explanations out there Nice job man
@sharkboi35gaming74
8 күн бұрын
THE 2 x 2 turning into a four was hilariously creative 😂
@rubenvanderark4960
3 ай бұрын
3:43 Also a reference to how x^0 = 1 for x≠0
@s-ata-n
Жыл бұрын
1:11 bro overanalyzed so much he even went on to beginning of philosophy💀
@georgepayne9381
Жыл бұрын
"Wow! You got Outlook working on my computer again! You're a genius!" "...thanks, but watch this video and rethink what you called me..." Seriously, my brain melts after a certain level of mathematics so I'm glad you can describe it in a way where I can see exactly where my knowledgebase runs out and I can no longer comprehend it. It feels better to know that everything in the video "adds up" and that I don't have to fully understand how.
@Skibidivm_Latrinae
Жыл бұрын
5:11 i like how TSC uses the addition sign as a crucifix 😂
@LawrenceHermes
11 ай бұрын
Just to think somebody could illustrate such complex math in a simple youtube video makes me appreciate being alive
@Sapphire-qo2ij
Жыл бұрын
This single 15 minute video made me learn more math then 9 years of boring 40 minute lectures about it. Thank you!
@BioElectricalShadow
Жыл бұрын
I had an "I don't need sleep, i need answer's" moment and now i regret it at 4:40 am
@robertmcpherson138
Жыл бұрын
The 2nd analyses of this video I've seen... both have given me deeper and deeper appreciation for the video as a math smooth brain.
@ax1tl
Жыл бұрын
probably my favorite reference of all, at the end we see aleph as a dark grid meaning there isn’t anything there (null) which is a reference to aleph-0 which is a super popular song made by LeaF
@catinjar9460
Жыл бұрын
thank you for deciphering this masterpiece! I feel like I learned more than I ever had.
@epicpatato2571
Ай бұрын
Where TSC’s body is at the beggining is what I believe to be the origin point of that whole world. The reason the one comes down at that specific area is because it marks the unit above it. Go to when he discovers this plane, and you’ll see when the y axis tick marks are shown, it’s at the same spot the one was.
@turtturtle
Жыл бұрын
as a middle schooler. I don't feel so bad only being able to barely comprehend the information up to around 6:00
@iota-09
Жыл бұрын
Definitely don't; back when i went to middle school(mid 2000s/early 2010s italy) square roots and exponential was the main mathematical thing, going far past that in middle school means you're already better at math than half the Italians your age* *Dunno if this applies to other countries tho, of course besides the fact that standards may have changed since then.
@thebubblybubblybub
11 ай бұрын
9:28 Why is it perfect
@ron与数学
11 ай бұрын
Because it 1, covers the whole plane 2, can propagate to infinity ( periodic function )
@thebubblybubblybub
11 ай бұрын
Thanks!@@ron与数学
@brickyt5711
11 ай бұрын
at 0:49, theres a reference to the equal sign as the orange guy copies the 2
@carlfilipmadsen3537
Жыл бұрын
Do you want to mention that (sometime during or after 6:42) that the letter r here is the variable for the radius of a circle? r = 5 when The Second Coming first looks at the variable's value, but then he adds 2 to increase the radius to 7, and then subtracts 5 by 2 (by flipping the expression) to make it equal to 3.
@carlfilipmadsen3537
Жыл бұрын
P.S. θ (theta) is also a variable; it is used for the position of a point on a circle relative to the point with the coordinates (r , 0) where r is usually 1 for simplicity. For example: in a circle where r = 1, θ = pi is at the coordinates (-1 , 0), and θ = pi/2 is at (0 , 1), which is also where θ = 5*pi/2 is.
@theurelita
Жыл бұрын
philosophically speaking, the mathematical moral of the story is: When you define your values and know where you are coming from, you can go wherever you want, and the possibilities are infinite.
@rionmotley2514
3 ай бұрын
Aleph! You're literally the only one who mentioned the big guy in the background!
@TheAdvertisement
Жыл бұрын
Goddamn I thought this was just gonna be like "And this is what this symbol means in math and how it's utilized here" not the goddamn HISTORY AND THEORY OF MATH. Bravo man, bravo.
@ron与数学
Жыл бұрын
Thanks! You may enjoy the following up video as well :) And The Volume of A 0-Dimensional Ball kzitem.info/news/bejne/qIhny3ars6uUnZw
@BoredwhaSphere
Ай бұрын
why this animation is so educational and enjoyable at the same time?!
@Gabriel_Dreemurr
Жыл бұрын
12:42 Imaginary number crisis ?
@Questiala123
Жыл бұрын
Well when you have perfectly completed things and then someone speaks of numbers that don’t exist but also do? It sounded crazy back then.
@youngilster
Жыл бұрын
He became newton when he discovered gravity (when the “ball” dropped)
@shanerooney7288
Жыл бұрын
0:11 "Everything starts with 1" Zero-indexed lists: "Am I a joke to you?"
@betabravo3300
Жыл бұрын
I believe you should be tanking Terkoiz as well. He's the one with the idea for this and the lead animator for this I think.
@williejohnson5172
2 ай бұрын
9:30 The machine gun is actually a derivative gun. Remember f'(x)=y=tan. Recall at 5:55 the dot represents the y axis. When he (TGC) shoots a e^ipi he takes the derivative of constant -1, reducing it to zero. At 10:41 he reloads with infinity converting the derivative gun to the integral. The integral of a constant is zero but since it is an integral it is the summation of all the individual e^ipi derivatives so he can blast an infinite number of them. They run in fear. TCS blasts the transformer with an integral but the transform absorbs it converting it to its own integral via the summation sign.
@theimpossibros39
11 ай бұрын
You may call it “Little Monster” but I am calling it Eipi. Why? e+i+pi= Eipi.
@alamra8783
Жыл бұрын
This is the best interpretation of the "Animation vs Math" video! Learned few information regarding Math's history. Very nice indeed. Thank you. Btw, I love the original video background music. It's a thrilling one but encouraging.
@dianamorzhak5831
Жыл бұрын
The best universal video on YT! Makes you think about the history and humanity developing. Mathematics is a big deal!
@lukatolstov5598
Жыл бұрын
2:55 How to divide: 1. Add as many as you want 2nd digit, until it equals to 1st digit. Next count how many 2nd numbers you need to make 1st number. Or like in video subtract as many as you want 2nd digits from 1st digit, until it becomes a zero. Next count how many 2nd numbers you need to make 1st number to a zero.
@ethankin-ho8152
Жыл бұрын
Since you have graduated from Harvard Math School,Alan Becker will accept you as his “mathematician”. Good job for the math btw.
@AzatKupsuldaev
10 ай бұрын
You forgot to mention what “!” means. “!” Is a factorial, which is the number times the number before times the number before times the number before all the way down to 1. Example: 3! = 6 (3x2x1 = 6).
@mrvaibh0
Жыл бұрын
[notice at 0.25x] ---- at 10:00 when TSC shoots tangents relatively left side, they are represented by -ve tan graphs, ....but at 10:01 when it shoots right side, they are represented by +ve tan graphs. Genius !!💡
@amansings
Жыл бұрын
0:43 my guy 0 didn't appear casually in mesopotamia. 0 was invented by Hindu/Indian mathematician Aryabhata. Have some respect to those that we have today so advanced in maths
@DiabolicalOrganisation
Жыл бұрын
Bro commented something that was wrong, like could you not be bothered to just google it but now you're wrong on the internet something you don't want to do 💀💀 aryabhata invented the digit btw
@DiabolicalOrganisation
Жыл бұрын
Also what does have some respect to those that we have today so advanced in maths
@amansings
Жыл бұрын
@@DiabolicalOrganisation stop living in propaganda kido
@ayakashusband
Жыл бұрын
Yup
@drag0nblight
Жыл бұрын
I saw this on Facebook and I find this cool. I got few of the mathematical references.
@Dumsboo
Жыл бұрын
God, this was so much more interesting than the others I have seen. Great job
@site.the-gamer
11 ай бұрын
animation vs math just goes to show that math really does get complicated fast, one second im watching as 1+1 = 2, the next second im looking at a damn circle and a bunch of alien looking letters
@Tanimation_
Жыл бұрын
I... I just have no words. Not a math expert but know a little bit of maths still was moved by this video.
@Racers_aura
4 ай бұрын
6:54 "Don't do this in your exam..." LMAO
@minhaj14d
Жыл бұрын
This one is one of the best explanations of Alan's that video. Marvelous!
@gabrielsanandres537
Жыл бұрын
Imagine giving someone a piece of paper that said -1, and next thing you know is that they get sent to Dormmamu.
@srmonchie5655
Жыл бұрын
THE LEAD ANIMATOR FOR ALAN BECKER IS SO ACCURATE THROUGHOUT THE ENTIRE THING I COULDN'T FIND A MISTAKE
@vicccxx
Жыл бұрын
I'll rewatch this animation again in 5 years when I graduate high school and understand all this stuff 🥲
@zhand3r420
Жыл бұрын
Unless u go beyond the basics, you wont know nearly anything past the basic concept of imaginary numbers, atleast thats what i remember
@Salutethesun2
Жыл бұрын
"Everything starts with 1" thing, i don't know why
@d1kgaws12
Жыл бұрын
Glad this video broke the algorithm.
@aronsantos4227
Жыл бұрын
One day I will come back to this video and completely understand all this stuff
@yayer_27
Жыл бұрын
This is so cool! Thank you for explaining all of the complicated functions and math show in Alan's video... I never realised he wrote "exit" lmao.
@n0vanox
Жыл бұрын
I understand everything up until the unit circle and complex plane, I am now scared for pre calculus next year
@ron与数学
Жыл бұрын
Don't worry. You will get there :)
@Nyx_-.046
10 ай бұрын
Bro Alan and you is a total GOD OF MATH💀
@yeyebussington6966
Жыл бұрын
This is probably the most incredible video I've ever watched.
@ColourWonder
2 ай бұрын
Me when I’m playing with the calculator:
@obsessionshift
Жыл бұрын
Dunno why this popped up in my recommended, but brilliant job
@NigelHB11
Жыл бұрын
Wasn’t expecting math to be this entertaining
@Andi-vc8nv
11 ай бұрын
it just shows how poetic mathmatics are
@Re_chaos
Ай бұрын
3:26 Orange just casually starts dimension hopping
@M24SniperWeaponSystem
Жыл бұрын
As a person who cant do these kinds of things on a windows 10 calculator, thanks for showing me this.
@ToadToon
Жыл бұрын
9:52 if you look closely there are actually 3 are helping him if you look carefully 3 of them are walking in the other direction. You may not see it at 1st, but the 3rd one is hidden on the left side
@Mickem90Y
Жыл бұрын
Though I had plans to watch John Wick tonight, I just couldn't take my eyes off this masterpiece, which has both more action and depth to it. Amazing work !
@star.skylar
Жыл бұрын
Best analysis I've watched so far!!!!!
@philosophicsblog
4 ай бұрын
At 5:49, TSC finds a zero-dimension dot he uses to create 1D space (the Y, imaginary axis and then the X, real, axis), foreshadowing 2D planar space but opting instead for the complex 2D plane. Euler's number, e, is the natural log constant (2.718). Euler's identity is e^(iπ) + 1 = 0. (obvs, pi = 3.1415...)
@TurboPotato
Жыл бұрын
This brought tears to my eyes. God I wish my dad was here to see this.
@nothpx
Жыл бұрын
is he okay man?
@zandacross2983
Жыл бұрын
I just want you to know that this is seriously absolutely truly Incredible
@luckysnakerivals3220
Жыл бұрын
You deserve a like man, this is way too good analysis for a math noob like me
@dannyarcher6370
11 ай бұрын
This is the video I was looking for. Other analysis left me disappointed. Thank you!
@ibtastico
Жыл бұрын
"each thing is identical to itself" damn that's some wise words
@chocoking2103
Жыл бұрын
this single video teached me more about math ant the entire itme i was in school
@ZR_Bravo
Жыл бұрын
Thats one of the most coolest thing I've ever seen. Great job.
@eduardpeeterlemming
Жыл бұрын
Im so thankful for the math nerds who explain the complicated equations
@DarkR_Real
Жыл бұрын
You are an absolute genius for this video dud
@DereC519
Жыл бұрын
it's really cool how education to high school can get you throughmost the vidwo
@jiahangtajiahagn6214
Ай бұрын
4:42 Actually, in Euler's formula, e^(iπ) is exactly equal to "cos(π)+isin(π)". No other equations for this. It's just the "-" sign that the two i's emerged to become "i²" and attached to e^(iπ), making it look like it was apart of it.
@Ricefieldsneaky
Жыл бұрын
Albert Einstein will be so proud of Alan Becker.
@average208
Жыл бұрын
Archimedes would've fit better tho, Albert Einstein is more of a physicist than a mathematician even though he's godly AMAZING at math
@BabaYaga622
Жыл бұрын
I'm actually going for an undergrad in maths and cs in oct, and this thing looks absolutely fabulous 😂 I am truly amazed!! I look forward to watching the next video !!
Пікірлер: 1,5 М.