Full video: https://youtu.be/IaSGqQa5O-M
It describes convolutions in probability, extending to the continuous case
Editing from long-form to short by Dawid Kołodziej
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https://www.youtube.com/watch?v=BIbHGfdjc_g
How to think about this 4d number system in our 3d space.
Brought to you by you: http://3b1b.co/quaternion-thanks
Interact with these visuals: http://3imaginary1real.com
Quanta article on quaternions:
https://www.quantamagazine.org/the-strange-numbers-that-birthed-modern-algebra-20180906/
The math of Alice in Wonderland:
https://www.newscientist.com/article/mg20427391-600-alices-adventures-in-algebra-wonderland-solved/
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https://www.youtube.com/watch?v=d4EgbgTm0Bg
In math, exponents, logarithms, and roots all circle around the same idea, but the notation for each varies radically. The triangle of power is an alternate notation, which I find to be absolutely beautiful.
(This is the corrected version of the one I put out a month or so ago, in which my animation for all the inverse operations was incorrect)
Here's a sketch from the math redditer Cosmologicon showing how this might be usual with practical space considerations: http://i.imgur.com/hAeJokq.jpg
This original comes from an answer to a math exchange post by Alex Jordan, which you can find here: http://math.stackexchange.com/questions/30046/alternative-notation-for-exponents-logs-and-roots
I also briefly flashed a blog post with another interesting alternative for logarithm notation: http://www.solidangl.es/2015/04/a-radical-new-look-for-logarithms.html
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https://www.youtube.com/watch?v=sULa9Lc4pck
An explanation of a neat circle puzzle involving combinatorics, graphs, Euler's characteristic formula and pascal's triangle.
Music: Wyoming 307 by Time for Three
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https://www.youtube.com/watch?v=K8P8uFahAgc
After a friend of mine got a tattoo with a representation of the cosecant function, it got me thinking about how there's another sense in which this function is a tattoo on math, so to speak.
One month free audible trial: http://www.audibletrial.com/3blue1brown
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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 on 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: http://3b1b.co/recommended
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https://www.youtube.com/watch?v=IxNb1WG_Ido
Part 1: https://youtu.be/HEfHFsfGXjs
Part 3: https://youtu.be/brU5yLm9DZM
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/clacks-thanks
Many of you shared solutions, attempts, and simulations with me this last week. I loved it! Y'all are the best. Here are just two of my favorites.
By a channel STEM cell: https://youtu.be/ils7GZqp_iE
By Doga Kurkcuoglu: http://bilimneguzellan.net/bouncing-cubes-and-%CF%80-3blue1brown/
And here's a lovely interactive built by GitHub user prajwalsouza after watching this video: https://prajwalsouza.github.io/Experiments/Colliding-Blocks.html
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https://www.youtube.com/watch?v=jsYwFizhncE
A link to the full video is at the bottom of the screen.
Or, for reference: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab
Editing from long-form to short by Dawid Kołodziej
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https://www.youtube.com/watch?v=vItzPPpNXEs
Start with part 1: https://youtu.be/X8jsijhllIA
Ben Eater implementing Hamming codes on breadboards: https://youtu.be/h0jloehRKas
Brought to you by you: https://3b1b.co/thanks
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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
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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 on new videos, subscribe: http://3b1b.co/subscribe
Various social media links:
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=b3NxrZOu_CE
An unsolved conjecture, and a clever topological solution to a weaker version of the question.
Brought to you by you: http://3b1b.co/topology-thanks
Home page: https://www.3blue1brown.com/
This video is based on a proof from H. Vaughan, 1977.
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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).
...
https://www.youtube.com/watch?v=AmgkSdhK4K8