@M4DA.

For the very first time, the bug actually WAS a feature

@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.