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SUBJECT FIELD NOTES / 327 RECOMMENDED VIDEOS

Mathematics & Theoretical CS

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Frame from Vectors | Chapter 1, Essence of linear algebracourse
Pure mathematicsintro

Vectors | Chapter 1, Essence of linear algebra

The first chapter of 3Blue1Brown's Essence of Linear Algebra series, introducing vectors with animated geometric visuals. It begins a series that builds intuition for linear algebra from the basics.

3Blue1Brown
17 recommenders in the source archive
Frame from But what is a neural network? | Deep learning chapter 1explainer
Machine learning & deep learningintro

But what is a neural network? | Deep learning chapter 1

3Blue1Brown's first chapter on deep learning explains what neurons and layers are and the math underlying a basic neural network, using handwritten digit recognition with visual animations.

3Blue1Brown
16 recommenders in the source archive
Frame from The Beauty of Bézier Curvesexplainer
Computer graphics & renderingintro

The Beauty of Bézier Curves

Freya Holmer explains how Bezier curves work, from the helper-line construction to their uses in animation, text rendering and shapes. It uses visuals from her Unity Shapes plugin and was a SoME1 contest winner.

Freya Holmér
16 recommenders in the source archive
Frame from D/A and A/D | Digital Show and Tell (Monty Montgomery @ xiph.org)explainer
Audio & video engineeringintro

D/A and A/D | Digital Show and Tell (Monty Montgomery @ xiph.org)

Monty Montgomery of Xiph.org gives real-time demonstrations of sampling, quantization, bit depth and dither using real audio equipment, including both digital analysis tools and vintage analog bench gear. It shows that sampled audio is not stair-stepped and corrects common misconceptions about digital audio.

FL Studio
15 recommenders in the source archive
Frame from The Continuity of Splinesexplainer
Computer graphics & renderingintermediate

The Continuity of Splines

Freya Holmer's 74-minute video essay on splines, covering Bezier curves, B-splines, derivatives and the different levels of continuity (C0, C1, C2), built with custom animation tools. She notes she did not cover non-uniform splines.

Freya Holmér
10 recommenders in the source archive
Frame from Jim Simons (full length interview) - Numberphileinterview
Investing & personal financegeneral

Jim Simons (full length interview) - Numberphile

The full-length Numberphile interview with mathematician and hedge fund founder Jim Simons. He discusses his path from mathematics and codebreaking to founding Renaissance Technologies, his use of algorithms in markets, and his philanthropy.

Numberphile2
11 recommenders in the source archive
Frame from Quantum Computing for Computer Scientiststalk
Quantum computingintro

Quantum Computing for Computer Scientists

An 88-minute Microsoft Research talk that explains how quantum computers beat classical ones using basic linear algebra, qubits, superposition and gates. It works through the Deutsch oracle problem and ends with entanglement, teleportation and a live demo.

Microsoft Research
12 recommenders in the source archive
Frame from Lec 1 | MIT 18.06 Linear Algebra, Spring 2005lecture
University lectures & coursesintro

Lec 1 | MIT 18.06 Linear Algebra, Spring 2005

The first lecture of Gilbert Strang's MIT 18.06 Linear Algebra course, covering the geometry of linear equations. It opens a full 35-lecture university course.

MIT OpenCourseWare
11 recommenders in the source archive
Frame from But how does bitcoin actually work?explainer
Cryptographyintro

But how does bitcoin actually work?

3Blue1Brown explains the math and mechanics behind Bitcoin visually: ledgers, digital signatures, proof of work and the blockchain, building up a decentralized payment system from first principles.

3Blue1Brown
15 recommenders in the source archive
Frame from Conway's Game Of Life in APLdemo
Programming language designintro

Conway's Game Of Life in APL

A short Dyalog demonstration building Conway's Game of Life in a single line of APL, step by step. It shows how array operations replace loops.

Dyalog
11 recommenders in the source archive

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