Shared December 22, 2019
Perhaps the most important formula in probability.
Brought to you by you: http://3b1b.co/bayes-thanks
The quick proof: https://youtu.be/U_85TaXbeIo
Interactive made by Reddit user Thoggalluth: https://nskobelevs.github.io/p5js/Bay...
The study with Steve:
You can read more about Kahneman and Tversky's work in Thinking Fast and Slow, or in one of my favorite books, The Undoing Project.
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:
Stream the music on Spotify:
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:
The Bayesian Trap
Why do prime numbers make these spirals?
P vs. NP and the Computational Complexity Zoo
Hilbert's Curve: Is infinite math useful?
Who cares about topology? (Inscribed rectangle problem)
1. Introduction to Human Behavioral Biology
Visualizing quaternions (4d numbers) with stereographic projection
Bayes' Theorem of Probability With Tree Diagrams & Venn Diagrams
How Not to Be Wrong: The Power of Mathematical Thinking - with Jordan Ellenberg
But what is a Fourier series? From heat flow to circle drawings | DE4
The Essence of Calculus, Chapter 1
Why Everything You Thought You Knew About Quantum Physics is Different - with Philip Ball
This equation will change how you see the world
But why is a sphere's surface area four times its shadow?
Darts in Higher Dimensions (with 3blue1brown) - Numberphile
What does it feel like to invent math?
A Breakthrough in Graph Theory - Numberphile
Feynman's Lost Lecture (ft. 3Blue1Brown)