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The Wallis product for pi, proved geometrically

Winding numbers and domain coloring

How pi was almost 6.283185...

Why is pi here? And why is it squared? A geometric answer to the Basel problem

The more general uncertainty principle, regarding Fourier transforms

But what is the Fourier Transform? A visual introduction.

Why this puzzle is impossible

Q&A #2 + Net Neutrality Nuance

The hardest problem on the hardest test

Backpropagation calculus | Chapter 4, Deep learning

This podcast segment provides a formal, calculus-based explanation of the backpropagation algorithm, building on a previous intuitive walkthrough. The speaker focuses on how machine learning practitioners apply the chain rule in neural networks, starting with a simple network of single neurons per layer to illustrate t...

What is backpropagation really doing? | Chapter 3, Deep learning

In this monologue podcast, Grant Sanderson explains backpropagation, the core algorithm behind neural networks. He begins with a recap and an intuitive walkthrough of the algorithm, avoiding formulas initially, and mentions a follow-up video will delve into the calculus. Sanderson reviews neural networks, gradient desc...

Gradient descent, how neural networks learn | Chapter 2, Deep learning

In this video, Grant Sanderson recaps the structure of a neural network and introduces gradient descent, explaining how neural networks learn and how machine learning works. He uses the example of handwritten digit recognition to illustrate the concepts, discussing how the network adjusts weights and biases based on tr...

But what is a neural network? | Chapter 1, Deep learning

This podcast episode offers a comprehensive overview of neural networks, beginning with the challenge of teaching computers to recognize handwritten digits, an ability humans master easily. It explains the layered structure of neural networks where middle layers discern subcomponents like loops and lines, ultimately co...

Some light quantum mechanics (with minutephysics)

Thinking outside the 10-dimensional box

Hilbert's Curve: Is infinite math useful?

How secure is 256 bit security?

But how does bitcoin actually work?

In this monologue, Grant Sanderson explains the concept of Bitcoin and cryptocurrencies by walking the audience through the steps of inventing their own version. Starting with a simple communal ledger for tracking payments among friends, he gradually introduces cryptographic concepts like digital signatures and public-...

All possible pythagorean triples, visualized

Pi hiding in prime regularities