3blue1brown

Divergence and Curl (Public release)

Going sponsor-free

Hey everyone,

As mentioned at the end of the most recent video, one thing I'd like to do with the channel moving forward is to go sponsor-free, which is to say stop doing those little promos at the end of a video.

One the one hand, it feels silly to write up too much of an explanation for this.  Your support on Patreon is enough to keep the channel going, and I think the videos...

Early view of next video

Hey folks!

Here’s a draft of the next video.  Let me know if you see any errors, or have other feedback.

-Grant

Update

Hi everyone,

As you know, at the start of this year I began experimenting with bringing on other creators in the hopes of increasing the output of the channel.  After trying this out for a few months, I've decided to roll things back to being more of a solo project.  Needless to say, this was a very difficult decision.  Since all of you have been so unwaveringly supportive of the ...

New probability video, chapter 1

Hey everyone,

After hop-scotching around with a couple videos for the middle of the series, there is now finally a contender for chapter 1.  At the moment, it is lacking an ending which will transition to the series to follow, and instead fades out at the relevant mathematical conclusion.

The goal here is to introduce some basic notions for conceptualizing a probability distribution a...

New video! What they won't teach you in calculus

Hey everyone,

This is a fun one on an alternate way to visualize the derivative.  The real reason for making it is for the sequel that will come, on how this idea generalizes to higher dimensional functions.

One focus in that follow-on will be differentiable complex functions.  Right now I'm toying with several possible key examples of why we care about conformal mappings, but I...

New linear algebra video! Cramer's rule (plus some bonus material)

Hello Patrons!

A new linear algebra video is ready!  In adding more videos to the series, I have two goals:  1) Fill in the gaps that I see within the topics of the original series, and 2) Go a bit beyond the elementary to a few powerful tools for linear algebra used a lot in practice.  This one falls into the first category, specifically in that I never really talked about tactic...

New linear algebra video coming soon...

Hey everyone!

Do you know what I appreciate?  Your patience with me when it comes to future "Essence of _____" series.  For much of the past year, I've repeatedly taken a look at Probability, struggled to find a foothold or perspective for the series I felt satisfied with, then turned to something else.  We're finally starting to make some headway, and the next video for "Essence ...

A new proof of the Wallis product for pi

What a delightful example of what happens when you get multiple people working together on math exposition.  As mentioned in the video, after making the video on the Basel problem, which was based on a paper that Ben brought to our attention, we were all thinking about nice intuitions for the connection between the Wallis product and circles.

There are some nice proofs out there to this eff...

Full winding numbers video

I realized I hadn't yet put up a full version of this on Patreon, and there was only the teaser.  I'm guessing many of you have already seen it, but for completeness, here we go!

As mentioned, this was the first work primarily authored by Sridhar Ramesh.  Look out for more great things from him!

Pi day video followup

Hey folks!

Looking at the poll I put out last week for whether or not the Pi day video should be Patreon-funded like other videos, it looks like we have a  noticeable-but-not-overwhelming tilt towards making it Patreon-funded.

In poking around the Patreon tools a bit more, I found that even though you can't have an opt-in-to-being-charged post (which would be nice), there is a notion ...

Partial new video preview + Update

Hey everyone,

I thought I'd share a little about what is in the pipeline.  Here's the first 2/3 of an upcoming video on winding numbers.  Specifically, it's all the parts *not yet* about winding numbers :).  This is the first project by the other new 3b1b team member, Sridhar Ramesh.  In the background, he's also had some good ideas for how we could cover the Laplace transfor...

Early view of Basel video

Hey Everyone,

I wanted to give you a sneak peek of a new video I plan to publish Friday.  The recording right now is a bit off (I think the gain on the mic was accidentally bumped up), but before I do a re-recording I'd love to hear the thoughts that you all have on any changes you'd like to see.  Likewise, some of the animations are a bit rough and will likely be redone through tomorr...

Uncertainty principle? It's not about quantum.

Hey everyone,

Boy, let me tell you, this project ended up being *way* different from what I initially expected.  At the start, I had in mind doing a simple followup of the Fourier transform video showing where it comes up outside of the classic example of decomposing frequencies.  I thought maybe a little uncertainty principle here, maybe a little Riemann zeta function there, maybe som...

Plushie pi creatures are in!

Hey Everyone,

The first batch of plushie pi creatures has now arrived!  Anybody supporting at $2 or has access to them at half off.  Otherwise, you can find them in the usual store.

Also, a certain member of this household recently c...

Reduced prices on 3b1b merchandise for $5+ patrons

Hey folks!

For anybody pledging at $5 or more, I'd like to offer 50% off pricing on items in the 3b1b store.  Use the promo code "HalfOffPi" at checkout.

Since you're already supporting in a sustained way here, profits on the store don't really make sense.  Heck, even t...

New video, Fourier transforms!

Hi Everyone,

It's been over a month since I posted, but I finally got around to one of the most commonly requested topics: Fourier transforms.  Part of the reason for the delay is that the two new 3blue1brown team members just joined (thanks in large part to Patreon funds), so much of this month went towards on-boarding them.  I'm really excited about the videos that each of them are w...

New (very different) video!

Hi Everyone,

Something very different for the holidays here, with numerous guests.  This was fun to put together, and the math at the heart of it involves some of my favorite little nuggets from basic graph theory.

I really do think the question I pose at the end, for where specifically the proof breaks down on a mug, is a rewarding thing to ponder.  I think I went years knowing ...

New probability video!

Hey everyone,

I (finally) have a new probability for the series.  This is a fundamental one, describing the function "n choose k".  In contemplating why this is important for probability, I think it has to do with the underlying patterns captured by binomial terms, as described in the video.  It's not so much that computing or applying n choose k will be very important for someone...

New video! The hardest problem on the hardest test

Hey everyone,

The new video is live.  It had been a while since I'd done a neat-proof-style video, so I was pleased to get around to this.  Hope you enjoy!  

There will be a new probability video (finally) in a few days.  Last month saw me busy with a few other things, including finding someone to join me starting 2018.  Thanks again for the recommended candidates ...

Sneak peek of tomorrow's video, see any errors?

Hey folks,

Here's a video I'm planning to post tomorrow.  For any of you who catch this tonight, let me know if you see any errors.

-Grant

Backpropagation calculus

Hey folks, just making a Patreon post for the "Backpropagation calculus" video, based on the outcome of this poll.

If you'd prefer this not to be one of the videos you support, not a worry, just send me a direct message on Patreon and there's a notion of a "refund" for specific paid posts.

Backpropagation early view, and a question

Hey everyone!

I have for you a draft for the upcoming backpropagation video.  I have not yet put in music, and I held off on a small part on the end, because I wanted to ask you guys your thoughts on a certain structural question before more editing.

This video loosely has two parts, one that gives an intuitive overview for what the backpropagation actually does, mechanistically but n...

Animation previews for $4+ Patrons

Hello $4+ Patrons!

For those of you who like to have little sneak peeks for what I'm working on in the form of animation previews, I'll use this post to point to animations form the current project, at least while I'm in the animated phase of that project.

Of course, without narration, it may not always be clear what a given animation is.  If ever you are curious about a curren...

NN Part 2 is now public!

Same video as yesterday's post (fixed up a bit), but now it is public, so feel free to help share it and all that.   Thanks!

Early view of next Neural Networks video

Hello all!

Here's a little peek at the current draft for the second neural networks video.  Please let me know any suggestions you have, or errors you catch.

You know, it's funny, I originally intended for this all to be one video, covering the basics of what a neural network is and what we mean by "learning".  Then, of course, I decided to divide those into two different parts. ...

New video is live!

I already posted this in an early release to you guys (thanks for the feedback and error-catches), but the new video is now live at this link.  Feel free to share with those you think might find it interesting/useful!

I'm excited to get part 2 out to you soon.

Backpropagation preview

Hey $4+ patrons,

As you know, I'm working on the sequel to the introductory neural network video I posted to you the other day.  I thought I'd share a little preview for some backpropagation animations.  Needless to say, I'll walk through what's going on here in the video, but it is kind of fun to watch.

-Grant

New video! (Early view)

Hey everyone,

I've got a new video for you, part 1 of what has turned into a two-video project on neuron networks.  I was hoping to get this done by yesterday, since I usually try to post on Fridays, but things went a little long.  This means I'm now sharing with you a sneak peek of the video before publishing it.  Maybe I'll wait until next Friday, or maybe I'll do something earl...

More podcast episodes

Hey everyone,

There are a few more Ben Ben and Blue episodes, for those of you curious to take a listen.  I'd especially love to hear anything you all might have to say about the desired direction of the podcast, as we mention in the intros of episodes 3 and 4.  Even if you just take a listen to the starts of each, ...