Thank you Zundamon and Shikoku, I'm feeling smarter already!

I only know implicit differentiation, why we got sums and such? I hate series and stupid intermediate value theorem and the integrals are better anyways, ugh math is good though

i love these interesting/unusual problems and the video format, keep up the good work

If you watch this on an iPhone is the result as American as Apple pi?

I've been researching hardware stuff and this is only true when its 0 or its just underflow

5:19 what?

7:50 "I wonder who you're saying that to." Why, me, of course!

I graduated a few years ago and these videos heal my soul. Thank you!

I am taking pre calculus right now, but this seems very interesting :D thank you Zundamon!

please never stop posting 😭🙏

11:46 Isn't using the equality to prove the equality "circular reasoning"?

Cool video! Love breaking maths :) That's why I also aim to define division by zero. But at 10:26, there is a small and crucial inconsistency. You have mentioned previously that 0/0 is prohibited, at least for this episode, but in fact, by performing regular fraction addition operation, you assume that 0/0 = 1. The output result most probably is correct. Just the proof does not necessarily confirm it.

math vtubers...

Calculus 1 flashbacks intensify 😂

My new all time fav maths channel❤❤

1/infinity = 0 implies 1 * 0 = infinity, which is isn't

and the chain sqrt with all -1 s gives u a positive number. hilarious

very very good boy, i mean girlz😊

No solution bc if 1/0=a then a*0=1 number holds true for that.

Ох, недавно как раз изучал эту тему, и она тоже меня взбудоражила - такое вроде бы не слишком сложное действие с нанесением на окружность всех чисел - и вот мы уже смогли добавить бесконечность

些末な点で恐縮ですが…。 冒頭の「The problem is coming! Be careful!」は恐らくシューティングゲームでよくある演出をパロったものと推します。 ボス直前に「前方に大型の敵機体接近！」みたいなアナウンスが警報音とともに流れるやつ。 あの感じを英語にするならちょっと文体を変えるというか、それっぽい単語にする必要があるように思います。 たとえば「Caution: The problem is approaching!」みたいな感じ？

Is there anything about using dual numbers for integration or is there a reason as to why you can't use dual numbers for integration?

x^π+?+1

11:00 Wait, 1/0 + 1/0 is not simply 2/0 that is 1/0 ?

Is this the envisioned Metaverse?

anyone know what epsilon cubed is? in my head its like. well if we take X^N and write it out we write X*X (with N X's). and then just go in order. so. eps*eps*eps. so we'd get. 0*epsilon. so my guess is zero?? anyway is there something im missing. this video was cool btw i really like it

I love Zundamon and math, so this channel is great!

nice method of representing dual space, but you can also add generalized duality

Ah, I just noticed that there is a bit of an Elmer Fudd softening of R's to W's in these anime girls.

the video gives shows that inf + inf = [1:0] + [1:0] = [(1x0 + 1x0):(0x0)] = [0:0] which was not defined, but inf x inf = [1:0] x [1:0] = [(1x1):(0x0)] = [1:0] = inf but I was thinking if inf x inf = inf + inf + inf .... (inf amount of times), and inf + inf in undefined, then shouldn't inf x inf also be undefined?

very projective geometry approach, I remember my favourite sentence of that class back when I took it was "parabolas are also just ellipses". However, of course there are many different approaches. For example one can try to functional analysis on it, so 0\in\sigma(0_X), assuming that X is for example a banach or hilbert space. In fact, if the entire space is {0}, the 0 operator is gonna be every possible operator, because all that an operator that maps from 0 to 0 can do, is mapping to 0. So in that case, 0/0=0^(-1)(0)=0, because the operator is both surjective and injective obviously, so it has an inverse. In \doubleR, you can't find an inverse because 0 is in the residual spectrum of the 0 operator, with the 0 operators range not even close to being dense in \doubleR. You could however look at the preimage and see that 0^(-1)({0})=\doubleR, which is also why I feel uncomfortable that 1/0=\infty is the result of this video, because obviously {1} otinRan(0), and the 0 operator would have to map \infty to 1, so that the preimage 0^(-1)({1})={\infty}, which is a problem due to alot of reasons. you know, a long time ago I also studied electrical engineering, and they really don't mind at all about dividing by 0, they just do it, so maybe sometimes it's a good idea (damn, my former math faculties will hate me for bringing this up). I thank you for your efforts on this projective geometry approach.

Can I just say I love your content.

Wait, that's illegal

У меня высшее математическое образование. Сейчас я получаю второе высшее - инженерное. У куда меня это привело? Сюда..

the whole Zundamon format is basically animated Socratic dialogues

People should see redbeaniemath's video on wheel algebra for a continuation on this 1/0.

thanks Zundamon

This opens so many possibilities. So basically you can introduce any "unit" and work with it in the mathematical field, simplify and calculate things, and then see if you have to still assume it down the line, or if it is not even needed. That's so genius! My gut feeling still tells me that I should be careful with that, but it sounds like a great way to address this. Maybe I could use this together with full inductions to calculate things 😁

7:00 how did you get the last equation?

これ見ると数学と英語勉強できていいな

This has to be the most adorable thing I've seen this year

This is awesome

I DON'T REALLY GET IT BUT OKAY 🗣️🗣️🗣️🗣️🗣️ 🔥🔥🔥🔥🔥

I probably shouldn't have watched this on a hot day with a runny nose without watching your earliest videos first Wait you only have 8 videos? Frick Ohhhh the Japanese one is the one with many videos

infinity + infinity doesn't work in the ratio system but x * infinity equals infinity where x is any number... wouldn't infinity + infinity = 2 * infinity in which case the answer would just be infinity? I feel like sum of infinity can be defined like this... right?

Since dual numbers are among those concepts I've never heard of (even though it's actually hiding in FTC all the time), I can feel even clearer that this video is at a pace just as suitable as my "real" professors. This video might be slow for people with the smallest bit of prior knowledge, but it helps start from scratch. Also, Plato's dialog form leads us to "discuss" in the absence of an in-person lecture. btw I didn't know Zundamon can speak English so well

Zundamon > Chuck Norris.

Can't we just exclude numbers that end in repeating 1s? Instead of 010111... we always use 011000... instead. That removes the problem where one number has multiple representations? Does that not fix a bunch of issues with no downside?

Beautiful channel

banger content