3Blue1Brown
Triangle of Power
Logarithms are confusing, but perhaps some alternate notation could make them more intuitive.
3Blue1Brown
Dot products and duality: Essence of Linear Algebra - Part 9 of 15
What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.
3Blue1Brown
The DP-3T algorithm for contact tracing (via Nicky Case)
An overview of a simplified version of the DP-3T algorithm for privacy-first contact-tracing
3Blue1Brown
Circle Division Solution: Circle Division - Part 2 of 2
Moser's circle problem, and its solution.
3Blue1Brown
Understanding e to the i pi: Differential Equations - Part 5 of 5
A quick explanation of e^(pi i) in terms of motion and differential equations
3Blue1Brown
What is backpropagation really doing? | Deep learning, chapter 3
An overview of backpropagation, the algorithm behind how neural networks learn.
3Blue1Brown
Derivative formulas through geometry | Chapter 3, Essence of calculus
Introduction to the derivatives of polynomial terms and trigonometric functions thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than something...
3Blue1Brown
Why does this product equal pi/2? A new proof of the Wallis formula for pi.
A new and more circularly proof of a famous infinite product for pi.
3Blue1Brown
Higher order derivatives: Essence of Calculus - Part 10 of 11
What is the second derivative? Third derivative? How do you think about these?
3Blue1Brown
But what is a Neural Network? Deep learning - Part 1 of 4
An overview of what a neural network is, introduced in the context of recognizing hand-written digits.
3Blue1Brown
How pi was almost 6.283185
Happy pi day! Did you know that in some of his notes, Euler used the symbol pi to represent 6.28..., before the more familiar 3.14... took off as a standard?
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Essence of linear algebra, footnote
How do you think about a non-square matrix as a transformation?
3Blue1Brown
But what is the Fourier Transform? A visual introduction.
An animated introduction to the Fourier Transform, winding graphs around circles.
3Blue1Brown
Vectors, what even are they? Essence of Linear Algebra - Part 1 of 15
What is a vector? Is it an arrow in space? A list of numbers?
3Blue1Brown
Solving 2D equations using color, a story of winding numbers and composition
An algorithm for solving continuous 2d equations using winding numbers.
3Blue1Brown
Backpropagation calculus: Deep learning - Part 4 of 4
The math of backpropagation, the algorithm by which neural networks learn.
3Blue1Brown
Euler's Formula Poem
A silly poem encapsulating the ideas from the video about Euler's formula through graph theory.
3Blue1Brown
Change of basis | Essence of linear algebra, chapter 9
What is a change of basis, and how do you do it?
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Euler's Formula and Graph Duality - Part 2 of 4
A very clever proof of Euler's characteristic formula using spanning trees.
3Blue1Brown
All possible pythagorean triples, visualized
There are a few special right triangles many of us learn about in school, like the 3-4-5 triangle or the 5-12-13 triangle. Is there a way to understand all triplets of numbers (a, b, c) that satisfy a^2 + b^2 = c^2? There is! And it uses...
3Blue1Brown
The determinant: Essence of Linear Algebra - Part 6 of 15
The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.
3Blue1Brown
Hilbert's Curve: Is infinite math useful?
Drawing curves that fill all of space, and a philosophical take on why mathematics about infinite objects can still be useful in finite contexts.