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Eigenvectors and eigenvalues | Essence of linear algebra, chapter 14
Home page: https://www.3blue1brown.com/
A visual understanding of eigenvectors, eigenvalues, and the usefulness of an eigenbasis.
Full series: http://3b1b.co/eola
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
Typo: At 12:27, "more that a line full" should be "more than a line full".
...
https://www.youtube.com/watch?v=PFDu9oVAE-g
A visual understanding of eigenvectors, eigenvalues, and the usefulness of an eigenbasis.
Full series: http://3b1b.co/eola
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
Typo: At 12:27, "more that a line full" should be "more than a line full".
...
https://www.youtube.com/watch?v=PFDu9oVAE-g
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video/mp4
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English
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VIDEO
WHY D
why-do-prime-numbers-make-these-spirals
A story of the value in mathematical play.
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/spiral-thanks
Based on this Math Stack Exchange post:
https://math.stackexchange.com/questions/885879/meaning-of-rays-in-polar-plot-of-prime-numbers/885894
Want to learn more about rational approximations? See this Mathologer video.
https://youtu.be/CaasbfdJdJg
Also, if you haven't heard of Ulam Spirals, you may enjoy this Numberphile video:
https://youtu.be/iFuR97YcSLM
Dirichlet's paper:
https://arxiv.org/pdf/0808.1408.pdf
------------------
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
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https://www.youtube.com/watch?v=EK32jo7i5LQ
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VIDEO
HOW C
how-colliding-blocks-act-like-a-beam-of
The third and final part of the block collision sequence.
Part 1: https://youtu.be/HEfHFsfGXjs
Part 2: https://youtu.be/jsYwFizhncE
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/clacks-thanks
Error correction: I wrote the answer as floor(pi/theta), when really it should be ceiling(pi/theta) - 1 t account for values of theta perfectly dividing pi. For example, the case of equal masses gives an angle of pi/4, and 3 total clacks.
This beautiful result, and the solution shown here, are due to Gregory Galperin:
https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf
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https://www.youtube.com/watch?v=brU5yLm9DZM
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Controlling
VIDEO
WHAT
what-makes-the-natural-log-natural
Answer live questions at https://3b1b.co/live
Ask a question or comment via https://3b1b.co/ask
All about ln(x)
Full playlist: https://www.youtube.com/playlist?list=PLZHQObOWTQDP5CVelJJ1bNDouqrAhVPev
Home page: https://www.3blue1brown.com
Brought to you by you: https://3b1b.co/thanks
------------------
The live question setup with stats on-screen is powered by Itempool.
https://itempool.com/
Curious about other animations?
https://www.3blue1brown.com/faq#manim
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=4PDoT7jtxmw
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VIDEO
SEEIN
seeing-with-sound
From a video about space-filling curves.
Editing from the original video into this short by Dawid Kołodziej
...
https://www.youtube.com/watch?v=1tLvj_HSjPk
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VIDEO
LIMIT
limits-chapter-7-essence-of-calculus
Formal derivatives, the epsilon-delta definition, and why L'Hôpital's rule works.
3Blue1Brown store: http://3b1b.co/store
Let me know what you'd like to see in there.
Full series: http://3b1b.co/calculus
Series like this one are funded largely by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
Special thanks to the following patrons: http://3b1b.co/eoc7-thanks
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https://www.youtube.com/watch?v=kfF40MiS7zA
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VIDEO
HAVE
have-you-seen-more-math-videos-in-your
Winners and honorable mentions for the SoME2 contest
Help fund future projects: https://www.patreon.com/3blue1brown
An equally valuable form of support is to simply share the videos.
Winners
https://explanaria.github.io/crystalgroups
https://youtu.be/5M2RWtD4EzI
https://youtu.be/gsZiJeaMO48
https://youtu.be/a-767WnbaCQ
https://youtu.be/6hVPNONm7xw
Honorable mentions:
https://youtu.be/v_HeaeUUOnc
https://youtu.be/piF6D6CQxUw
https://youtu.be/QC3CjBZLHXs
https://thenumb.at/Autodiff/
https://youtu.be/KufsL2VgELo
http://xperimex.com/blog/panorama-homography/
https://youtu.be/zR_hpai3XkY
https://youtu.be/HeBP3MG-WHg
https://youtu.be/2dwQUUDt5Is
https://youtu.be/3gyHKCDq1YA
https://youtu.be/nK2jYk37Rlg
https://youtu.be/l7bYY2U5ld8
https://calmcode.io/blog/inverse-turing-test.html
https://youtu.be/dwNxVpbEVcc
https://youtu.be/CFBa2ezTQJQ
https://youtu.be/gnUYoQ1pwes
https://www.summbit.com/blog/bezier-curve-guide/
https://almostsurelymath.blog/2022/07/28/does-every-game-have-a-winner/
https://youtu.be/LUCvSsx6-EU
https://youtu.be/-vxW42R47bc
Playlist of all submissions:
https://www.youtube.com/playlist?list=PLnQX-jgAF5pTZXPiD8ciEARRylD9brJXU
Timestamps:
0:00 - The rising tide
2:08 - Choosing winners
2:54 - Motivation (macro)
8:09 - Motivation (micro)
10:55 - Clarity
12:57 - Novelty
14:26 - Memorability
15:07 - Winners
------------------
These animations are largely made using a custom python library, manim. See the FAQ comments here:
https://www.3blue1brown.com/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/
You can find code for specific videos and projects here:
https://github.com/3b1b/videos/
Music by Vincent Rubinetti.
https://www.vincentrubinetti.com/
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
------------------
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
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
...
https://www.youtube.com/watch?v=cDofhN-RJqg
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Created
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English
Controlling
VIDEO
THE P
the-power-tower-puzzle-lockdown-math-ep
A fun puzzle stemming from repeated exponentiation.
Full playlist: https://www.youtube.com/playlist?list=PLZHQObOWTQDP5CVelJJ1bNDouqrAhVPev
Home page: https://www.3blue1brown.com
Brought to you by you: https://3b1b.co/thanks
Play along on Desmos:
https://www.desmos.com/calculator/nul32eaaa9
Related videos.
Calculus series:
https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr
In particular look at:
https://youtu.be/CfW845LNObM
Numberphile on Grahm's constant:
https://youtu.be/XTeJ64KD5cg
------------------
The live question setup with stats on-screen is powered by Itempool.
https://itempool.com/
Curious about other animations?
https://www.3blue1brown.com/faq#manim
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=elQVZLLiod4
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Created
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video/mp4
Controlling
VIDEO
EXPON
exponential-growth-and-epidemics
A good time for a primer on exponential and logistic growth, no?
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/covid-thanks
Data source: https://www.worldometers.info/coronavirus/coronavirus-cases/#total-cases
Some have (quite rightfully) commented on how you shouldn't look at the R^2 of linear regressions on cumulative data since even for completely random changes each total is not at all independent of the last. Since the derivative of an exponential should also be an exponential, we could instead run the same test on the logarithms of the differences from day to day, which in this case gives R^2 = 0.91.
While this video uses COVID-19 (aka the Coronavirus) as a motivating example, the main goal is simply a math lesson on exponentials and logistic curves. If you're looking for a video more focused on COVID-19 itself, I'd recommend taking a look at this one from Osmosis: https://youtu.be/cFB_C2ieW5I
Extrapolation xkcd: https://xkcd.com/605/
------------------
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=Kas0tIxDvrg
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Created
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Controlling
VIDEO
THE S
the-standard-explanation-of-a-prism
In the full video, I wanted to dig deeper to understand light slows down, and why this would depend on the color.
...
https://www.youtube.com/watch?v=GSIuXqgPsnY
Transaction
Created
5 months ago
Content Type
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video/mp4
English