@istvankertesz3134
fun fact: Bor means wine in Hungarian, and Wein means wine in German, so if you translate it, it's the winewine integral.
@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!
@SUNRA131
I'm a retired machinist and I ran into this twice this while machining radii from for example 9.500" to 8.500" in decrements of .01". I called tech support and no one knew the answer to this. They had never heard of it. Now I know, 15 years later.
@davidbaldock9321
I was lost before he began.
@smartereveryday
This is amazing. I even love the way you visually explained moving averages.
@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.
@3blue1brown
The next video on convolutions and their relationship to FFTs is out! https://youtu.be/KuXjwB4LzSA
@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!
@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
@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!
@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 :)
@chiefsofnobles
this guy is the bob ross of math
@severaldata
Mathematicians: Math isn't mathing
@MathOSX
Excellent ! That may also be an example of why proofs by induction are required : observing the first terms of a sequence never tells you for sure what happens next ...
@tamashellwig5275
As a Hungarian-German, the name Borwein is pretty funny: Bor in Hungarian translates to wine, and so does Wein in German. So their name is basically wine-wine
@Klarpimier
4:53 Oh shit. Grant is a gamer
@calvinvlog768
me watching these videos to feel smart, knowing full well that i don’t understand a word he’s saying
@dr_workaholic
Imagine testing a computer program for bugs and you find a bug in math
@gerrero235
I don't know if anyone will ever see this comment, but as an Electrical Engineering student, I guarantee that Fourrier and Convolution are very powerful tools. We can analyze an entire circuit through equations modeled using fourrier and laplace. Note: I was taken by surprise, I wasn't even looking for videos on this subject.
@M4DA.