Zundamon is a vocaloid, not anime ^_^ A comparison might be calling Taylor Swift or Lebron James famous American actors. Just because they appear in similar forms doesn't mean they're the same
@@UnemptyVoidIn general, Vocaloid especially means singing voice synthesizer, not speech synthesizer. However, the word is referrd to singing voice synthesizer, Vocaloid, developed by Yamaha at first.
@@UnemptyVoid well calling something 'anime' really doesn't mean it has to be from an anime. Just anything generally in that popular Japanese art style can be considered pretty anime.
@@KarolOfGutovo It's in the style of teaching. Plato wrote a lot of books where he pictures Socrates asking simple question to another person. By simply asking the questions the other person manages to learn a lot of things, and then Socrates claim he didn't teach him anything : he just asked questions. The video presented it in a very similar fashion, where the teacher says very little and the student learns mainly by answering questions asked by the teacher. It plays in the philosophy of Plato where he believed that the soul is immortal and accumulates knowledge throughout its lives. And to explain why we don't recall this knowledge he posited that it is dormant and we just need a little nudge to awaken it, hence Socrates didn't teach the man but awoken the knowledge he already had. Edit : Correcting small grammar mistakes
I would say that it is indeed easier: 1. Have your mind open 2. It's only an introduction to a new domain and not some problem to solve. (for example 458674*58712 will require a lot more attention to solve even if the process is basic) 3. You don't have another 15 subjects, and 4 other homework for tomorrow
In Japan, these characters (or their voices) are used in all kinds of situations Some cafeterias use them for broadcast purposes, and they are also used in racist videos by the wicked. Of course, math lecture videos are no exception. My favorite Zundamon are those explaining general topology and abstract algebra.
Zundamon is a vocaloid, not anime ^_^ A comparison might be calling Taylor Swift or Lebron James famous American actors. Just because they appear in similar forms doesn't mean they're the same
wow, i cant believe i actually learned something new from this. im failing my calc 2 class in college and i desperately need Zundamon to explain to me everything about convergent series before my test in 2 days. subscribed
I'm surprised I haven't seen many UA-cam videos in this format! Plato's dialogs are some of the oldest and most respected writings in European history (and didn't Mencius or Meng Zi use dialog too?) we should have more dialogs. It's a great way to introduce surprising or confusing topics. And the English voices are understandable and well-written!
I didn't see that anywhere in the comments so I'll help around just in case some wonder ... At 6:42, what she is explainingis the following operation : ae=be ae-be=0 (a-b)e=0 a-b=0 or e=0 (impossible since it is defined to be non zero) a=b That's the comparison between the two coefficients being talked about.
You are assuming the properties of an Integral Domain. If ab = 0 we cannot conclude that either a or b is 0 unless we know to be working in an integral domain.
@@charlesleninja and in this case we even know we are NOT in an integral domain as (aε)(bε)=0 for all a,b∈ℝ but neither factor is zero if a and b are nonzero
@@nobody-sq3nq Exactly, even just with Epsilon Squared we know not to be working in an integral domain. But there could be an argument where the Dual Numbers are "semi-integral" in the sense that if you multiply Epsilon by a non-zero real number, it is non-zero. In which case the argument of the original comment would work.
1. If a is real, and aε = 0, a = 0. Proof: Case a ≠ 0 0 = 0×1/a = aε×1/a = ε. But ε≠0. Then a=0. 2. If a, b is real and aε = bε, a = b. Proof: (a-b)ε = aε-bε = 0. For 1, a-b = 0 → a = b. 3. z = a+bε, w = c+dε. a, b, c and d real. If zε = wε → a=b Proof: zε = aε+bε² = aε wε = cε+dε² = cε → aε = zε = wε = cε → (by 2) a = c.
@@aloi4 If a is a zero divisor, a doesn't have multiplicative inverse. In your proof, you assume that a isn't a zero divisor to prove that a isn't a zero divisor.
I've just found this English Dub channel, thank you! I was directed from a link in your English Sub channel. I love your videos, but I'd also like to have seen the dual numbers defined via the polynomial ring. R [ X ] / < X^2 > (the real numbers adjoined X, quotient by the ideal generated by X^2) This is how my professor introduced them and I think it makes them a lot more concrete and easier to grasp from first introduction, and easier to accept the notion that something can square to zero without being zero.
i mean that's true, but its probably easier to just say "what if this thing was true? What would be the consequences?" (which is what happened with the complex numbers, which definitely were not original defined as a quotient ring!) than having to explain rings and their quotients.
Thanks for pointing that out, it definitely helped me appreciate the concept more especially when compared with the similar quotient ring definition of the complex numbers. I think that approach would be too tough to explain to anyone who doesn't have a basic grasp of ring theory though, so I get why the video skipped it.
6:48 you can't divide by epsilon but you can prove this in a different way: b1*eps=b2*eps => (b1-b2)*eps=0, eps is not zero so that (b1-b2) must be zero, so b1=b2
@@maindimpro2618it's not a division, it's conclusion: if product of multiple terms is 0, one of terms is equal to 0. We know that eps!=0, so b1-b2 has to be.
@@wumi2419that property doesn't hold over the dual numbers since eps*eps=0. The real argument is that we define dual numbers to be equal iff both their components are equal.
@@wumi2419 That's not true. You can only use the argument "if product of multiple terms is 0, one of terms is equal to 0" when you are operating in what it's called an Integral Domain, which isn't the case. For example eps*eps=0, but both are different from zero.
The only reason I prefer the japanese version, and this may go for a lot of others too, is because the english voices sound way more robotic, I wouldn't have a problem with it otherwise
I watch both japaneese and english and I kind of get your point, but I dont really mind. Maybe my standards are low but I still like both of them. Both dub and sub are amazing.
Thank you for the helpful comments! I'm glad that some people like the English voices. At the same time, honest feedback is highly valuable. I will work on improving the quality of the voices. In particular, I've heard that Metan sounds more robotic compared to Zundamon, and I agree. I will prioritize fixing that.
@@zunda-theorem-enWe appreciate the fact that you're even creating an English dub of your high quality videos. AND you're taking constructive criticism where it counts and following viewer feedback. This shows you respect your audience. And that in turn in ABSOLUTELY awesome. Keep up the amazing work boss. Have a good one 🫂. Im aiming to be a mathematician in the future too! So these videos push me into constantly wanting to learn. Thanks!
what have i stumbled upon this time??? jokes aside your content is very fascinating. the problems are interesting, the way the audience is led through each part of the lecture is amazing as it makes everything way easier to understand. as for the english, i don't see anything wrong with it either. please keep this up!
I really like the style of the video, I'm glad you're taking in the feedback to improve the voices, that will make it even better though I already quite like it. But I've seen few people comment on how good the pedagogy is here. It's really well explained and made intuitive, we're discovering a topic by doing, not being handed down some info about it. Overall great teaching and very engaging !!
As a physicist I never encountered/needed this concept before but the connection to derivatives is really interesting. It struck me in the end that the requirement that ε != 0, while ε^2 = 0, basically encapsulates the linearisation that is performed in taking the derivative. Meaning ε is small but not too small that you can neglect terms linear in ε. But you can neglect higher orders of ε.
I studied mathematics in school, and now I work in statistical reporting. These are excellent videos. I think this topic is just begging for a discussion of rings and zero divisors, though.
I did not expect to be drawn in this much by cute anime characters explaining math, but I really enjoyed this. The explanations are very good, too! You do a very good job of introducing concepts and building on them.
It stresses me out that I enjoyed this. It also stresses me out that I've spent so much time listening to the soundtrack of a certain game that I immediately recognized it here.
I _knew_ my math teachers should've been anime sprites.
Zundamon is a vocaloid, not anime ^_^
A comparison might be calling Taylor Swift or Lebron James famous American actors. Just because they appear in similar forms doesn't mean they're the same
@@UnemptyVoid erm, she was never a character for the vocaloid software
@@UnemptyVoidIn general, Vocaloid especially means singing voice synthesizer, not speech synthesizer.
However, the word is referrd to singing voice synthesizer, Vocaloid, developed by Yamaha at first.
@@UnemptyVoid well calling something 'anime' really doesn't mean it has to be from an anime. Just anything generally in that popular Japanese art style can be considered pretty anime.
@@UnemptyVoid
Zundamon is for NEUTRINO, not VOCALOID.
Socrates teaches Plato dual numbers, animated, colorized, 2024
Dual numbers are a very modern concept, nineteenth century.
@@KarolOfGutovo
It's in the style of teaching. Plato wrote a lot of books where he pictures Socrates asking simple question to another person.
By simply asking the questions the other person manages to learn a lot of things, and then Socrates claim he didn't teach him anything : he just asked questions.
The video presented it in a very similar fashion, where the teacher says very little and the student learns mainly by answering questions asked by the teacher.
It plays in the philosophy of Plato where he believed that the soul is immortal and accumulates knowledge throughout its lives. And to explain why we don't recall this knowledge he posited that it is dormant and we just need a little nudge to awaken it, hence Socrates didn't teach the man but awoken the knowledge he already had.
Edit : Correcting small grammar mistakes
@@charlesleninja ah how i missed when philosophy class was this simple.
Lol, I was reminded of the dialogue between Socrates and meno
@@charlesleninja Ah, ok. I was not acquainted with that.
The cute cartoonish robotic voices makes my brain think this is elementary math for kids and my brain actually processed it easier!
I would say that it is indeed easier:
1. Have your mind open
2. It's only an introduction to a new domain and not some problem to solve. (for example 458674*58712 will require a lot more attention to solve even if the process is basic)
3. You don't have another 15 subjects, and 4 other homework for tomorrow
It's strangely engaging to hear anime characters talking about high-level maths.
its my favorite genre
exactly
In Japan, these characters (or their voices) are used in all kinds of situations
Some cafeterias use them for broadcast purposes, and they are also used in racist videos by the wicked.
Of course, math lecture videos are no exception.
My favorite Zundamon are those explaining general topology and abstract algebra.
High-Level???
This is more of a basic level understanding for another topic lol
"So small, it's square is zero!" remains the best way to describe epsilon to me.
bro got anime fans to learn math
Tons of mathematicians already are weebs 💀
@@AlgebraicAnalysis you can make a philosophical essay out of this!
Zundamon is a vocaloid, not anime ^_^
A comparison might be calling Taylor Swift or Lebron James famous American actors. Just because they appear in similar forms doesn't mean they're the same
bro got math fans to learn anime
@@UnemptyVoidno one cares
everything about this feels so hyper targeted oh my god
Ooh ho! Hello azali. Didn't know u were a math enthusiast
it's nice seeing you here
it's good because people are now mathing more
i never thought you would be here
ϵ : You
ε : The guy she tells you not to worry about
You are "in" and he's "small" so honestly you have nothing to worry about.
@@RuthvenMurgatroyd lmao
so 1, i, and epsilon is a Pythagorean Triple?
Bro thats crazy
Wait a minute
that's kinda crazy to think about
😨
Can someone explain this?
this changed my life
Bro i never thougth that i se your coment here
Of course
You obtain epsilon?
If math was taught like this I'd be studying it all day
wow, i cant believe i actually learned something new from this. im failing my calc 2 class in college and i desperately need Zundamon to explain to me everything about convergent series before my test in 2 days. subscribed
Did you pass
@noletaw6013 nope. im gonna fail the class
Did you win 😊@@tenma628
And how are you doing a month after the last comment?
@@Marko2-u6g failed the final
A deep discussion between two of the wisest philosophers of our time. Truly touoching.
I don't think philosopher is better than mathematician.
lol
Oh finally the contents I was looking for the ages, Numberphile plus Zundamon.
13:39 my friends when I offer to help
VOICEROIDに多言語話せられるの初めて知ったわ(笑)(笑)
I GOT JUMPSCARED BY THE ENGLISH DUB THINKING IT WAS THE JP CHANNEL
this is very cool
This channel fills the hole in my heart that was left after I finished all 6 math girls books.
I'm surprised I haven't seen many UA-cam videos in this format! Plato's dialogs are some of the oldest and most respected writings in European history (and didn't Mencius or Meng Zi use dialog too?) we should have more dialogs. It's a great way to introduce surprising or confusing topics.
And the English voices are understandable and well-written!
Man, this definitely deserves subscription. A complex topic presented in an entertaining way.
I didn't see that anywhere in the comments so I'll help around just in case some wonder ...
At 6:42, what she is explainingis the following operation :
ae=be
ae-be=0
(a-b)e=0
a-b=0 or e=0 (impossible since it is defined to be non zero)
a=b
That's the comparison between the two coefficients being talked about.
You are assuming the properties of an Integral Domain. If ab = 0 we cannot conclude that either a or b is 0 unless we know to be working in an integral domain.
@@charlesleninja and in this case we even know we are NOT in an integral domain as (aε)(bε)=0 for all a,b∈ℝ but neither factor is zero if a and b are nonzero
@@nobody-sq3nq Exactly, even just with Epsilon Squared we know not to be working in an integral domain.
But there could be an argument where the Dual Numbers are "semi-integral" in the sense that if you multiply Epsilon by a non-zero real number, it is non-zero.
In which case the argument of the original comment would work.
1. If a is real, and aε = 0, a = 0.
Proof: Case a ≠ 0
0 = 0×1/a = aε×1/a = ε.
But ε≠0. Then a=0.
2. If a, b is real and aε = bε, a = b.
Proof: (a-b)ε = aε-bε = 0. For 1, a-b = 0 → a = b.
3. z = a+bε, w = c+dε. a, b, c and d real.
If zε = wε → a=b
Proof:
zε = aε+bε² = aε
wε = cε+dε² = cε
→
aε = zε = wε = cε
→ (by 2)
a = c.
@@aloi4
If a is a zero divisor, a doesn't have multiplicative inverse.
In your proof, you assume that a isn't a zero divisor to prove that a isn't a zero divisor.
I've just found this English Dub channel, thank you! I was directed from a link in your English Sub channel. I love your videos, but I'd also like to have seen the dual numbers defined via the polynomial ring. R [ X ] / < X^2 > (the real numbers adjoined X, quotient by the ideal generated by X^2) This is how my professor introduced them and I think it makes them a lot more concrete and easier to grasp from first introduction, and easier to accept the notion that something can square to zero without being zero.
i mean that's true, but its probably easier to just say "what if this thing was true? What would be the consequences?" (which is what happened with the complex numbers, which definitely were not original defined as a quotient ring!) than having to explain rings and their quotients.
Thanks for pointing that out, it definitely helped me appreciate the concept more especially when compared with the similar quotient ring definition of the complex numbers. I think that approach would be too tough to explain to anyone who doesn't have a basic grasp of ring theory though, so I get why the video skipped it.
At 0:30 I was expecting VSauce to come out and say “or is it?”
6:48 you can't divide by epsilon but you can prove this in a different way: b1*eps=b2*eps => (b1-b2)*eps=0, eps is not zero so that (b1-b2) must be zero, so b1=b2
On last step you already divided both sites by epsilon ( |ε|=0
@@maindimpro2618it's not a division, it's conclusion: if product of multiple terms is 0, one of terms is equal to 0. We know that eps!=0, so b1-b2 has to be.
@@wumi2419that property doesn't hold over the dual numbers since eps*eps=0.
The real argument is that we define dual numbers to be equal iff both their components are equal.
But wouldn't (b1-b2)*eps = 0 mean that b1-b2 = eps also?
@@wumi2419 That's not true. You can only use the argument "if product of multiple terms is 0, one of terms is equal to 0" when you are operating in what it's called an Integral Domain, which isn't the case. For example eps*eps=0, but both are different from zero.
Zundamon's questions followed my thought process EXACTLY like it was crazy, and then Metan always gave a really good answer. This is awesome
I love how you always talk about the most interesting subjects! I hope to see hyperbolic numbers soon!
The only reason I prefer the japanese version, and this may go for a lot of others too, is because the english voices sound way more robotic, I wouldn't have a problem with it otherwise
I watch both japaneese and english and I kind of get your point, but I dont really mind. Maybe my standards are low but I still like both of them. Both dub and sub are amazing.
@@cdkw2 I also like both, but the japanese voices are charming, which makes me prefer it
Thank you for the helpful comments!
I'm glad that some people like the English voices. At the same time, honest feedback is highly valuable.
I will work on improving the quality of the voices. In particular, I've heard that Metan sounds more robotic compared to Zundamon, and I agree. I will prioritize fixing that.
@@zunda-theorem-enWe appreciate the fact that you're even creating an English dub of your high quality videos. AND you're taking constructive criticism where it counts and following viewer feedback. This shows you respect your audience. And that in turn in ABSOLUTELY awesome. Keep up the amazing work boss. Have a good one 🫂. Im aiming to be a mathematician in the future too! So these videos push me into constantly wanting to learn. Thanks!
@@zunda-theorem-en now that I think about it I see it too, Metan does sound more Ai'ish
It's so surreal watching anime characters explain high level maths
This is hands-down the best way to teach math. Thanks for your content
Now you are making them in english! I watched your previous content with subtitles, but this is way better! Thank you so much!
never thought i would an maths vtubers!
dual numbers are such a cool topic, the reason i start caring about group theory. great video!
This is really enjoyable to watch and kept my attention the whole way through. Would really appreciate if you did more!
Dual Numbers are cool, but why is an anime character teaching me dual numbers lol
Времена такие
It's the only way I can actually pay attention, so I'm not complaining
Why not?
@@obz1357 if the only way to get your attention to smth is to slap anime girls this is honestly sad 😿😭
@@Ne-vc5pm I know 😭😭
damn, this was actually great and easy to follow. very cool!
I am Korean
I love your videos
Please continue your upload activities
The collaboration of Zundamon and math is just insane!!
우와... 애니메이션 캐릭터들로 이런 좋은 영상 만들어주셔서 고마워요! 이제 영어를 열심히 공부해야 할 이유가 생겼군요.
why is my math anime?
To help you remember
To get satisfaction while studying
Zundamon is a vocaloid, not anime
Always has been.
what have i stumbled upon this time??? jokes aside your content is very fascinating. the problems are interesting, the way the audience is led through each part of the lecture is amazing as it makes everything way easier to understand. as for the english, i don't see anything wrong with it either. please keep this up!
This quickly became my favorite math yt channel, great work!!!
What a great idea for a channel! It sure would encourage people to learn maths!
I wish you the best of luck!
I really like the style of the video, I'm glad you're taking in the feedback to improve the voices, that will make it even better though I already quite like it. But I've seen few people comment on how good the pedagogy is here. It's really well explained and made intuitive, we're discovering a topic by doing, not being handed down some info about it. Overall great teaching and very engaging !!
This feels like a children's educational show for adults. I kinda like it
Bro this unironically helped me at school
Great video!! i don't even study math at the time, but this was interesting to watch anyway :3
Well this was an unexpected gem.
That is so cool!!! I just learned complex coords and calculus so this is extra cool. Thank you for teaching me! :D
This was my first video of this channel! I think it was a very interesting way to teach, their interactions are very cute, keep up the good work
I love this format so, so much! I did not think I would be into this, but oh how wrong was I. Amazing work.
Wow. That was actually educational. I'm surprised. I didn't know anything about epsilon. Good job!
Wow this video is excellent! I'm going to share it with my students right now!!
Ah dual numbers, the answer to the question "What if we _intentionally_ added a zero divisor to a field"
You lose your livestock because you have no field :(
Great content. Hope this channel skyrockets quickly.
best video i accidentally clicked on
I’m so happy to have found the channel!
As a physicist I never encountered/needed this concept before but the connection to derivatives is really interesting. It struck me in the end that the requirement that ε != 0, while ε^2 = 0, basically encapsulates the linearisation that is performed in taking the derivative. Meaning ε is small but not too small that you can neglect terms linear in ε. But you can neglect higher orders of ε.
I saw the original japanese channel back then and i can somehow understand it,but the fact you made a new english channel is really awesome!
Wow new music in the video.
Very cool and thank you!
this is absolutely amazing; please keep it up!
Thank you for doing an english version please continue !
13:00 Well That Derivative Part Was Really A Shock🗣️🔥
It was the best thing that youtube recommend me in a long time.
Wow what a gweart channel I discovered amazing!! keep it up!
This video showing up in my recommendations turned out to be an interesting result!
Jesus Christ what fresh hell have I fallen into
Thank you so much, now derivatives for me are gonna be 10000000%x easier
How is this so motivating :D
I just stumbled here and watched fully
Wow, dual numbers are really cool. Did not know this was a thing
英語版あったんだこのチャンネル…
昨日見た動画だから(訳が)見える見える…
It's so weird hearing Zundamon without all the のだ's
日本ではもはや御馴染みになっているボイスロイドの解説動画だけど、コメ欄から察するに英語圏の人達にはまだまだ目新しく、そして奇妙なものとして映ってるようですね。
それぞれの反応が面白い。英語をしゃべるずんだもんもなんだか可愛くて素敵。
I studied mathematics in school, and now I work in statistical reporting. These are excellent videos. I think this topic is just begging for a discussion of rings and zero divisors, though.
Wow this is the best video I’ve watched
Me imagining gaining real knowledge aside of chess vids from UA-cam before clicking this video
the ending was very satisfying, seeing a concept that i felt was very abstract being a core of something so important
0:45 "I don't really get it, but something's starting!"
so relatable
Epsilon is a guy who never existed, but when multiplying himself he still never existed.
I did not expect to be drawn in this much by cute anime characters explaining math, but I really enjoyed this. The explanations are very good, too! You do a very good job of introducing concepts and building on them.
i wanna more like this video man.
This is such an underrated channed ❤❤❤❤❤❤❤❤❤. I love it
1:21 but what if there was an x such that x(0)=y | y≠0, pum all n/0 problems solved
ずんだもんが英語しゃべってる？！
I dont expect ずんだもん speaking English and teaching Math lesson.
But I watch whole video anyway, good job.
Finaly, Worthy math lesson
I just saw this and I BEG YOU PLS CONTINUE THE ENGLISH VERSION ❤❤❤
This has to be the most adorable thing I've seen this year
We got anime characters teaching modern algebra before GTA VI.
I am taking pre calculus right now, but this seems very interesting :D thank you Zundamon!
This feels like a way to show limits with epsilon
I am utterly confused about what I have stumbled into but I love it
It stresses me out that I enjoyed this. It also stresses me out that I've spent so much time listening to the soundtrack of a certain game that I immediately recognized it here.
Technically epsilon could be thought of as a small number where it’s square can be ignored like Taylor series
9:27 basically
Essentially an infinitesimal
these are the mentors I always wanted
Awesome!! I legit had zero idea this exists! Now Dual Numbers are stuck in my head with anime characters lmao.
13:39 I probably won’t use you but take care!
I felt that 😂
Now on english? SO GOATED!
The differentiation thing blew my mind, that's crazy.
This is like a revelation for me, never thought that you can assume epsilon backward like this lol
Well that new for me
Hope this gonna be useful one day
ily, literally used this in class a week back
Wow, I thought it was just a fun exercise but the way it suddenly relate to derivative it amazing!
What I really truly need is a lecture about Hilbert space given by Beavis. I have had that concept in the back of my mind for years.