A link to the full video is at the bottom of the screen.
Or, for reference: https://youtu.be/VYQVlVoWoPY
That video gives multiple examples of lying with visual proofs
Editing from the original video into this short by Dawid Kołodziej
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https://www.youtube.com/watch?v=tjIOqIr80ns
A mug with some unexpectedly interesting math.
Vihart response: https://youtu.be/CruQylWSfoU
Brought to you by you: http://3b1b.co/mug-thanks
And by Brilliant: https://brilliant.org/3b1b
Thanks to all the following channels for participating.
Standup Maths
https://www.youtube.com/user/standupmaths
Wendover Productions
...
https://www.youtube.com/watch?v=VvCytJvd4H0
An exploration of infinite sums, from convergent to divergent, including a brief introduction to the 2-adic metric, all themed on that cycle between discovery and invention in math.
Home page: https://www.3blue1brown.com/
Music: Legions (Reverie) by Zoe Keating
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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that).
If you are new to this channel and want to see more, a good place to start is this playlist: https://goo.gl/WmnCQZ
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https://www.youtube.com/watch?v=XFDM1ip5HdU
Experiments with toy SIR models
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/sir-thanks
Simulations by Harry Stevens at the Washington Post:
https://www.washingtonpost.com/graphics/2020/world/corona-simulator/
Simulations by Kevin Simler at Melting Asphalt:
https://meltingasphalt.com/interactive/outbreak/
Excellent visualization of each country's current growth from Minutephysics and Aatish Bhatia:
https://www.youtube.com/watch?v=54XLXg4fYsc
If you want to hear a mathematician/epidemiologist's summary of COVID-19, I found this MSRI talk very worthwhile:
https://youtu.be/MZ957qhzcjI
Marcel Salathé on Contact Tracing:
https://twitter.com/marcelsalathe/status/1242430736944201730
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These animations are largely made using manim, a scrappy open-source python library: https://github.com/3b1b/manim
The source code for this video is visible here:
https://github.com/3b1b/manim/blob/shaders/from_3b1b/active/sir.py
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Opening music:
Candlepower by Chris Zabriskie is licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/by/4.0/)
Source: http://chriszabriskie.com/divider/
Artist: http://chriszabriskie.com/
Other music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
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https://www.youtube.com/watch?v=gxAaO2rsdIs
An introduction to transformers and their prerequisites
Early view of the next chapter for patrons: https://3b1b.co/early-attention
Other recommended resources on the topic.
Richard Turner's introduction is one of the best starting places:
https://arxiv.org/pdf/2304.10557.pdf
Coding a GPT with Andrej Karpathy
https://youtu.be/kCc8FmEb1nY
Introduction to self-attention by John Hewitt
https://web.stanford.edu/class/cs224n/readings/cs224n-self-attention-transformers-2023_draft.pdf
History of language models by Brit Cruise:
https://youtu.be/OFS90-FX6pg
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Timestamps
0:00 - Predict, sample, repeat
3:03 - Inside a transformer
6:36 - Chapter layout
7:20 - The premise of Deep Learning
12:27 - Word embeddings
18:25 - Embeddings beyond words
20:22 - Unembedding
22:22 - Softmax with temperature
26:03 - Up next
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These animations are largely made using a custom Python library, manim. See the FAQ comments here:
https://3b1b.co/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/
All code for specific videos is visible here:
https://github.com/3b1b/videos/
The music is by Vincent Rubinetti.
https://www.vincentrubinetti.com
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
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3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly.
Mailing list: https://3blue1brown.substack.com
Twitter: https://twitter.com/3blue1brown
Instagram: https://www.instagram.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Patreon: https://patreon.com/3blue1brown
Website: https://www.3blue1brown.com
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https://www.youtube.com/watch?v=wjZofJX0v4M
Intuition for e^(pi i) = -1, and an intro to group theory.
Home page: https://www.3blue1brown.com/
Brought to you by you: http://3b1b.co/epii-thanks
And by the Emerald Cloud Lab:
- Application software engineer: http://3b1b.co/ecl-app-se
- Infrastructure engineer: http://3b1b.co/ecl-infra-se
- Lab focused engineer: http://3b1b.co/ecl-lab-se
- Scientific computing engineer: http://3b1b.co/ecl-sci-comp
There's a slight mistake at 13:33, where the angle should be arctan(1/2) = 26.565 degrees, not 30 degrees. Arg! If anyone asks, I was just...er...rounding to the nearest 10's.
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https://www.youtube.com/watch?v=mvmuCPvRoWQ
Space-filling curves, turning visual information into audio information, and the connection between infinite and finite math (this is a re-upload of an older video which had much worse audio).
Supplement with more space-filling curve fun: https://youtu.be/RU0wScIj36o
For more information on sight-via sound, this paper involving rewiring a ferret's retinas to its auditory cortex is particularly thought-provoking: http://phy.ucsf.edu/~houde/coleman/sur2.pdf
Alternatively, here is the NYT summary: https://goo.gl/qNuc14
Also, check out this excellent podcast on Human echolocation: https://goo.gl/23f4Yh
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https://www.youtube.com/watch?v=3s7h2MHQtxc
Fourier series, from the heat equation to sines to cycles.
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/de4thanks
If you're looking for more Fourier Series content online, including code to play with to create this kind of animation yourself, check out these posts:
Mathologer
https://youtu.be/qS4H6PEcCCA
The Coding Train
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https://www.youtube.com/watch?v=r6sGWTCMz2k
Bayes factors, aka Likelihood Ratios*, offer a very clear view of how medical test probabilities work.
Home page: https://www.3blue1brown.com
Brought to you by you: https://3b1b.co/bayes-factor-thanks
The book by my friend Matt Cook about paradoxes mentioned at then end:
https://amzn.to/3aBrEzg
On the topic, I can't help also mentioning another paradox book I'm rather fond of by Bunch:
https://amzn.to/3mBDSKE
*As mentioned in the on-screen note at the end, while the terms "Bayes Factor" and "Likelihood Ratio" refer to the same term in this setting, where Bayes rule is used on the probability of an event with only two possible outcomes (you either have the disease or you don't), they do take on divergent meanings in more general contexts. Namely, if you have a continuous parameter you are trying to estimate, the two terms reflect two alternate approaches you can use in comparing hypotheses. In fact, some people take the phrase "Bayes factor" to _specifically_ refer to its use in this more continuous context.
If you want more details, Wikipedia actually has a really nice example discussing the difference:
https://en.wikipedia.org/wiki/Bayes_factor#Example
This post has some nice discussion of the distinction:
https://stats.stackexchange.com/questions/27345/likelihood-ratio-vs-bayes-factor
------------------
These animations are largely made using manim, a scrappy open source python library: https://github.com/3b1b/manim
If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.
Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.
------------------
3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe
Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
...
https://www.youtube.com/watch?v=lG4VkPoG3ko