@3blue1brown
The next video on convolutions and their relationship to FFTs is out! https://youtu.be/KuXjwB4LzSA
@marshallmykietyshyn4973
One of the main problems I have in making presentations is that I always try to make them like a story, avoiding spoilers so that everything leads up to the interesting take-home point, but you don't know what is coming until I get to it. This channel demonstrates why that's a flawed way of thinking for educational purposes. It's so much easier to follow along with these explanations knowing where they are going. The explanation at 4:22, while seeming like spoilers to me in the moment, was actually extremely helpful.
@brianparisien9262
I'm a retired electro-geek who last studied this stuff over 40 years ago. Having just discovered this channel, I wish I'd had this resource prior to slogging through the computational mechanisms available to us at that time. These verbal and graphical explanations are absolutely fabulous, and I foresee hours of enjoyable education in my future with a cup of coffee in one hand, these videos on my side screen, and a spreadsheet in front of me. Thank-you!
@franciscofarias6385
I'm not at all a math student, but I come to this channel every time I want to relive that feeling of "wow everything is connected, this is so beautiful"
@diarya5573
"a tiny positive number my computer couldn't compute in a reasonable amount of time" You should do it the Matt Parker way, put it up on the internet and people will improve your code by a factor of millions in a matter of days!
@M4DA.
For the very first time, the bug actually WAS a feature
@Pilchard123
I've been trying to wrap my head around convolutions forever, so seeing that you're going to be doing a video about them has just made my day :)
@faluffel
Is it weird if I'm not studying or doing anything remotely to do with this kind of math, but absolutely loved it? It's strangely soothing and entertaining.
@Scott-wd1cq
These video's are so incredibly well made that, not only is the math beautiful and well-explained, but the scripts 3Blue1Brown uses in these videos is just as beautiful and meticulously constructed. This is one of those subtle things I love about science and math - that it teaches you to speak carefully such that what you say has exactly one meaning. It's a truly difficult art to master but if achieved, the speaker is effortlessly satisfying to listen to.
@lemonlordminecraft
Hey 3B1B team and especially Mr Sanderson, I just wanted to say your videos never fail to enthrall and impress me. You have such a way of communicating high-level concepts that makes me feel exceptionally well-informed about the subject matter you cover. As of 3 days ago, I've finished my Bachelor of Mathematics degree, 4 years after having my love of mathematics reinforced by your popular video about 4 points on a sphere. Your channel and its content are so important for young, mathematically-interested people and I cannot express how grateful I am for this content. In so many words, thank you.
@johanneseller1081
As someone who worked extensively with convolutions and Fourier Transforms in physics and engineering: This is a beautiful video and I’m excited to see where it leads us.
@thecanmanification
i’m currently studying electronic engineering and i’m pretty familiar with all of this frequency domain stuff, but the sudden “aha” moment I had at the end was really something else. 3B1B really knows how to neatly wrap together seemingly disparate pieces of information
@johnreid4830
I’m currently studying maths at undergrad level, and the difference between 3B1B and the teaching I am receiving is day and night. You do so much to motivate and illuminate with these videos. I know that to learn the detail will involve a lot of hard work, and then I’ll have to develop my understanding by exercises and problem solving. However, now that I am fascinated and have a picture, this is a joy, not a chore. Thank you so much and keep doing this sort of thing.
@nva225
Holy crap this is elegant, you have made scary maths approachable somehow. Well done
@Kyurem_originale_Form
As an electrical engineer student as soon as I saw sinc(x) I immediately thought: Ah yes, definitely something with Fourier Transformation later in this video. Here we go again!
@trevorbradley3737
I was taught by both Borwein brothers (Johnathan and Peter) at Simon Fraser University in math undergraduate here in British Columbia, Canada. Peter was a joy to take complex analysis with. Jonathan's 4th year real analysis course was... less joyful. Brilliant man, we as his students weren't ready to hold the volumous and requisite knowledge in our brains at all times. Still, I greatly appreciate the experience and am glad I passed his course!
@MattDiver
A professor in college had this on his door along with a warning about assumptions and patterns. It's been in the back of my head for years to look into this and understand it!
@climbscience4813
This is fantastic! I have actually used the relation between the convolutions of rect functions and the multiplied sinc functions in my work. The convolution of rect functions is actually one way to express a jerk-limited motion curve. Separating it into the sinc functions in frequency space can help tremendously to understand the impact that such a motion curve has on a control loop. Really cool to see this here! 🙂
@harrywang2566
So if we alter the series with 1, 1/2, 1/4, 1/8, 1/16… the integral will always be pi since the sum of this series will always be less than 2
@smartereveryday