Projects
ArtificialEconomist.com Economoose.com YetiPredict.com
Notes
Logic, the natural numbers and computability Algebra Real and complex analysis
Geometry Non-relativistic field theory Rigid body physics
Computer science and integer RISC instructions (ARM)Floating point algorithms Freestanding C Data structures and algorithms
Univariate probability Multivariate probability Multivariate probability discriminative including machine learning Fully-connected neural networks Univariate time series Multivariate time series Multivariate probability inference Probabilistic Turing machines and algorithms, and encryption
Computer vision Statistics for audio and text, and multi-modal models
Statistical mechanics Relativistic field theory Quantum mechanics and quantum computing Chemistry and geology Biology Engineering Electronics
Manufacturing CPUs and peripherals Floating Point Units (FPUs), cache, other Reduced Instruction Set Computers (RISC) and Complex Instruction Set Computers (CISC)Audio 2D graphics 3D graphics Multithreading, multi-core CPUs, Graphics Processing Units, and Single Instruction, Multiple Data (SIMD)Reverse engineering hardware, hardware emulation, and emulation of retro video game systems
Microsoft Disk Operating System (MS-DOS)Memory Mapping Units (MMUs), protection rings and GNU/Linux/Systemd Hosted C and Compiling C code with Linux Securing the system and boot process: Including encrypting systems, Logical Volume Management (LVM), trusted execution environment, secure enclave, Supervisor Mode Access Prevention Networks Serialisation, single-node databases, Structured Query Language (SQL) and Extract-Transform-Load/Extract-Load-Transform Audio and video output in Linux, and sandboxing applications
Other imperative languages: Fortran, Algol, Pascal, Cobol Functional languages: Meta Language (ML), Caml and Haskell C++, objects, generic programming and clang/LLVM Java, garbage collection, process virtual machines and Kotlin Other C-family languages: Rust, Nim, Zig and Objective-C Communicating sequential processes (CSP) and actor model concurrent languages: Erlang, Elixer, Swift, Go Other compiled languages: Forth, Smalltalk and Simula Scheme Other Lisp-family languages: Racket, Common Lisp, Clojure and Scala Reverse engineering software
Python Python: Data Python: Internet packages R Specific packages for R Working with specific datasets, and models including Llama and Stable Diffusion Other interpreted languages: STATA, Lua, Perl, Ruby, Julia, PHP and FreeBASIC
HyperText Markup Language (HTML), Cascading Style Sheets (CSS) and the World Wide Web (WWW)JavaScript and WebAssembly (Wasm)Server-side javascript and javascript frameworks and libraries
Specific Linux distributions, system virtual machines, hardware-assisted virtualisation and OS-level virtualisation with Docker Distributed computing Integrated Development Environments (IDEs)Android
FreeBSD and OpenBSD Windows 3.x, Windows 9x and Windows NT Classic Mac OS, macOS and iOS
Decision and game theory General equilibrium Industrial organisation Money, banking and finance Microeconomics Macroeconomics Public choice
History Epistemology and ontology Political science and philosophy

GitHub
LinkedIn

Algebra

Elementary number theory

The rational numbers

Algebraic numbers

Complex numbers

Infinite sequences and limits

Elementary algebra

Solving single-variable polynomials

Solving multi-variable polynomials

Generating functions

Diophantine equations

Systems of linear equations

Solving systems of linear equations

Eigenvalues, Eigenvectors, decomposition and operations

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Preface

This is a live document, and is full of gaps, mistakes, typos etc.