Technical

Computer Science

• Algorithms (CLRS)

• Computers and Intractibility

• Lambda Calculus and Effective Haskell

• P = NP?
• StackOverflow summary (P vs NP vs NP-Complete vs NP-Hard)
• The Halting Problem

• Data Visualizations
• vis.gl
• 🧠
  Retrieval-Augmented Generation (RAG) and GIS

• Machine Learning
• Neural Networks (3b1b)

• 
  Carleton University

• Coding Adventure: Sound (and Fourier Transform)

Math and Physics

• Fundamentals (High School Level)
• 〽️
  Functions

• Computational Physics
• Open Source Physics (Computer Modelling)

• Engineering
• DSP → Modulation (for encoding and transmission of data)

• Numerical Analysis
• 📏
  Newton’s Method
• YouTubeFast Inverse Square Root — A Quake III Algorithm
  

  Fast Inverse Square Root — A Quake III Algorithm

  In this video we will take an in depth look at the fast inverse square root and see where the mysterious number 0x5f3759df comes from. This algorithm became famous after id Software open sourced the engine for Quake III. On the way we will also learn about floating point numbers and newton's method. 0:00 Introduction 1:23 Why Care? 3:21 The Code 4:18 IEEE 754 9:38 Bits and Numbers 12:09 1st Step: Evil Bit Hack 14:46 2nd Step: WTF 17:34 3rd Step: Newton 19:46 Summary Picture of John Carmack is licensed under CC BY 2.0 from author Drew "Prognar" Campbell. Source: http://flic.kr/p/6YxWYp

  YouTube

• Relativity
• 📚
  Building up to GR
• Twin Paradox (from Einstein Light: relativity in film clips and animations)

  Twin Paradox (from Einstein Light: relativity in film clips and animations)

  The twin paradox. An animated introduction to the twin paradox and how it is resolved by either Einstein's special theory of relativity or by an application of the general theory of relativity.
• ⏱️
  Terrell Rotation
• Wave Particle Duality, and the Time Traveling Double Slit Experiment

Geometry

• manim
• Video:- Optimal Matrix Parenthesization (DP)
• manim guide (Dev Taoism)
• Bezier Curves
• Splines (Freya Holmer)

• matplotlib

• OpenGL

• The Book of ShadersThe Book Of Shaders
  

  The Book Of Shaders

  Gentle step-by-step guide through the abstract and complex universe of Fragment Shaders.

  The Book of Shaders

• p5.js
• Force Directed Graphs
• 3D Rendering

• three.js
• Ray Tracing / Raycasting
• dat.gui
• Quaternions

• Videos on rendering
• Giving Personality to Procedural Animations using Math
• The Math behind most 3D games

Projects

1. Matrix Parenthesization Algorithm in Manim
1. Possibly find a different representation for s- and m-tables.